diff --git a/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair.hpp b/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair.hpp index a9f57694b21..16211cd4321 100644 --- a/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair.hpp +++ b/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair.hpp @@ -15,6 +15,7 @@ #include "4C_io_visualization_data.hpp" #include "4C_linalg_fevector.hpp" #include "4C_linalg_fixedsizematrix.hpp" +#include "4C_solid_3D_ele.hpp" #include "4C_utils_parameter_list.fwd.hpp" #include @@ -42,6 +43,7 @@ namespace GeometryPair namespace Constraints::EmbeddedMesh { class SolidToSolidMortarManager; + class SolidToSolidNitscheManager; class SolidInteractionPair { @@ -66,12 +68,12 @@ namespace Constraints::EmbeddedMesh /*! \brief Get first element */ - const Core::Elements::Element& element_1() const { return *element1_.get(); }; + Core::Elements::Element& element_1() const { return *element1_.get(); }; /*! \brief Get second element */ - const Core::Elements::Element& element_2() const { return *element2_; }; + Core::Elements::Element& element_2() const { return *element2_; }; /*! \brief Get the number of segments @@ -126,6 +128,19 @@ namespace Constraints::EmbeddedMesh Core::LinAlg::FEVector& global_kappa, Core::LinAlg::FEVector& global_lambda_active) = 0; + virtual void evaluate_and_assemble_nitsche_contributions( + const Core::FE::Discretization& discret, + const Constraints::EmbeddedMesh::SolidToSolidNitscheManager* nitsche_manager, + Core::LinAlg::SparseMatrix& global_penalty_interface, + Core::LinAlg::SparseMatrix& global_penalty_background, + Core::LinAlg::SparseMatrix& global_penalty_interface_background, + Core::LinAlg::SparseMatrix& global_nitsche_interface, + Core::LinAlg::SparseMatrix& global_nitsche_background, + Core::LinAlg::SparseMatrix& global_nitsche_interface_background, + Core::LinAlg::FEVector& global_penalty_constraint, + Core::LinAlg::FEVector& global_nitsche_constraint, + double& nitsche_average_weight_param) = 0; + /** * \brief Set the current element displacement. * @param discret (in) Discretization, used to get the boundary layer GIDs. @@ -154,10 +169,10 @@ namespace Constraints::EmbeddedMesh private: //! @name member variables //! first element of interacting pair - const std::shared_ptr element1_; + std::shared_ptr element1_; //! second element of interacting pair - const Core::Elements::Element* element2_; + Core::Elements::Element* element2_; //! pointer to the cutwizard std::shared_ptr cutwizard_ptr_ = nullptr; diff --git a/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_mortar.cpp b/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_mortar.cpp index 8f5399348d2..fc4de8f2fce 100644 --- a/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_mortar.cpp +++ b/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_mortar.cpp @@ -16,38 +16,11 @@ #include "4C_fem_general_extract_values.hpp" #include "4C_geometry_pair_element.hpp" #include "4C_geometry_pair_element_evaluation_functions.hpp" -#include "4C_geometry_pair_line_to_surface.hpp" #include "4C_geometry_pair_line_to_volume.hpp" +#include "4C_solid_3D_ele.hpp" FOUR_C_NAMESPACE_OPEN -namespace -{ - //! Helper function to map a point from the element's parametric space to the - //! physical space - template - void map_from_parametric_to_physical_space( - GeometryPair::ElementData element_data, - Core::LinAlg::Matrix& point_param_space, - Core::LinAlg::Matrix nodal_values, - Core::LinAlg::Matrix& point_physical_space) - { - // Evaluate the shape functions on the given point - Core::LinAlg::Matrix<1, Pointtype::n_nodes_ * Pointtype::n_val_, double> shape_fun( - Core::LinAlg::Initialization::zero); - - GeometryPair::EvaluateShapeFunction::evaluate( - shape_fun, point_param_space, element_data.shape_function_data_); - - // Map the point to the physical system by multiplying the shape - // functions with the element nodes - for (unsigned int node = 0; node < Pointtype::n_nodes_; node++) - for (unsigned int dim = 0; dim < Pointtype::spatial_dim_; dim++) - for (unsigned int val = 0; val < Pointtype::n_val_; val++) - point_physical_space(dim) += nodal_values(3 * Pointtype::n_val_ * node + 3 * val + dim) * - shape_fun(Pointtype::n_val_ * node + val); - } -} // namespace template Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairMortar::initialize(&this->element_2()); + ele1pos_current_ = + GeometryPair::InitializeElementData::initialize(&this->element_1()); + ele2pos_current_ = + GeometryPair::InitializeElementData::initialize(&this->element_2()); + ele1dis_ = GeometryPair::InitializeElementData::initialize(&this->element_1()); ele2dis_ = GeometryPair::InitializeElementData::initialize(&this->element_2()); @@ -84,7 +62,7 @@ Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairMortar( + Constraints::EmbeddedMesh::map_from_parametric_to_physical_space( ele1pos_, xi_mortar_node, this->ele1pos_.element_position_, X); - map_from_parametric_to_physical_space( + Constraints::EmbeddedMesh::map_from_parametric_to_physical_space( ele1pos_, xi_mortar_node, q_lambda, lambda_discret); // Add to output data. @@ -174,87 +152,43 @@ void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairMortar(&this->element_1()); + if (!face_element) FOUR_C_THROW("Cast to FaceElement failed!"); + Constraints::EmbeddedMesh::get_current_element_displacement( + discret, face_element->parent_element(), displacement_vector, ele1_parent_dis_); + + // Set the displacements and current position of the first element for (int node_ele1 = 0; node_ele1 < element_1().num_point(); node_ele1++) { // nodal displacements ele1dis_.element_position_(0 + 3 * node_ele1) = interface_dofvec_timestep[0 + 3 * node_ele1]; ele1dis_.element_position_(1 + 3 * node_ele1) = interface_dofvec_timestep[1 + 3 * node_ele1]; ele1dis_.element_position_(2 + 3 * node_ele1) = interface_dofvec_timestep[2 + 3 * node_ele1]; + + ele1pos_current_.element_position_(0 + 3 * node_ele1) = + element_1().nodes()[node_ele1]->x()[0] + interface_dofvec_timestep[0 + 3 * node_ele1]; + ele1pos_current_.element_position_(1 + 3 * node_ele1) = + element_1().nodes()[node_ele1]->x()[1] + interface_dofvec_timestep[1 + 3 * node_ele1]; + ele1pos_current_.element_position_(2 + 3 * node_ele1) = + element_1().nodes()[node_ele1]->x()[2] + interface_dofvec_timestep[2 + 3 * node_ele1]; } - // Get the initial positions of the second element + // Set the displacements and current position of the second element for (int node_ele2 = 0; node_ele2 < element_2().num_point(); node_ele2++) { // nodal displacements ele2dis_.element_position_(0 + 3 * node_ele2) = background_dofvec_timestep[0 + 3 * node_ele2]; ele2dis_.element_position_(1 + 3 * node_ele2) = background_dofvec_timestep[1 + 3 * node_ele2]; ele2dis_.element_position_(2 + 3 * node_ele2) = background_dofvec_timestep[2 + 3 * node_ele2]; - } -} - -template -std::shared_ptr project_boundary_cell_gauss_rule_on_interface( - Cut::BoundaryCell* boundary_cell, GeometryPair::ElementData& ele1pos) -{ - // Get the coordinates of the vertices of the boundary cell - const Core::LinAlg::SerialDenseMatrix vertices_boundary_cell = boundary_cell->coordinates(); - const unsigned num_vertices = Core::FE::num_nodes(boundarycell_distype); - Core::LinAlg::Matrix<2, num_vertices> projected_vertices_xi; - - for (unsigned i_vertex = 0; i_vertex < num_vertices; i_vertex++) - { - Core::LinAlg::Matrix<3, 1> vertex_to_project; - Core::LinAlg::Matrix<3, 1> xi_interface; - - for (int i_dim = 0; i_dim < 3; i_dim++) - vertex_to_project(i_dim) = vertices_boundary_cell(i_dim, i_vertex); - GeometryPair::ProjectionResult temp_projection_result; - GeometryPair::project_point_to_surface( - vertex_to_project, ele1pos, xi_interface, temp_projection_result); - - if (temp_projection_result == GeometryPair::ProjectionResult::projection_not_found) - FOUR_C_THROW("No projection was found. "); - else if (temp_projection_result == GeometryPair::ProjectionResult::projection_found_not_valid) - std::cout << "WARNING: a projection was found but it is not valid\n"; - - projected_vertices_xi(0, i_vertex) = xi_interface(0); - projected_vertices_xi(1, i_vertex) = xi_interface(1); - } - - // Check if the points are arranged in a counterclockwise. This is to avoid - // getting negative gauss points weights in CreateProjected(..). This is the case if: - // (y3 - y1)(x2 - x1) > (y2 - y1)(x3 - x1). If this is not the case, the points - // should be rearranged - if ((projected_vertices_xi(1, 2) - projected_vertices_xi(1, 0)) * - (projected_vertices_xi(0, 1) - projected_vertices_xi(0, 0)) < - (projected_vertices_xi(1, 1) - projected_vertices_xi(1, 0)) * - (projected_vertices_xi(0, 2) - projected_vertices_xi(0, 0))) - { - Core::LinAlg::Matrix<2, num_vertices> temp_xie; - - for (size_t i = 0; i < num_vertices; ++i) - { - temp_xie(0, i) = projected_vertices_xi(0, num_vertices - 1 - i); - temp_xie(1, i) = projected_vertices_xi(1, num_vertices - 1 - i); - } - - projected_vertices_xi = temp_xie; - } - - std::shared_ptr gp = - Core::FE::GaussIntegration::create_projected( - projected_vertices_xi, boundary_cell->get_cubature_degree()); - - // Check if the weights of the obtained Gauss Points are positive - for (int it_gp = 0; it_gp < gp->num_points(); it_gp++) - { - FOUR_C_ASSERT_ALWAYS( - gp->weight(it_gp) > 0.0, "The Gauss rule for this boundary cell has negative weights."); + ele2pos_current_.element_position_(0 + 3 * node_ele2) = + element_2().nodes()[node_ele2]->x()[0] + background_dofvec_timestep[0 + 3 * node_ele2]; + ele2pos_current_.element_position_(1 + 3 * node_ele2) = + element_2().nodes()[node_ele2]->x()[1] + background_dofvec_timestep[1 + 3 * node_ele2]; + ele2pos_current_.element_position_(2 + 3 * node_ele2) = + element_2().nodes()[node_ele2]->x()[2] + background_dofvec_timestep[2 + 3 * node_ele2]; } - - return gp; } template @@ -279,8 +213,8 @@ void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairMortar gps_boundarycell = - project_boundary_cell_gauss_rule_on_interface( - it_boundarycell->get(), ele1pos_); + Constraints::EmbeddedMesh::project_boundary_cell_gauss_rule_on_interface(it_boundarycell->get(), ele1pos_); // Save the number of gauss points per boundary cell. The check is done only in // the first boundary cell since all the boundary cells have the same cubature @@ -342,6 +276,7 @@ void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairMortar void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairMortar::get_projected_gauss_rule_in_cut_element(Core::IO::VisualizationData& @@ -375,7 +310,7 @@ void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairMortar point_coord(Core::LinAlg::Initialization::zero); - map_from_parametric_to_physical_space( + Constraints::EmbeddedMesh::map_from_parametric_to_physical_space( ele2pos_, gp_projected_cutelement, this->ele2pos_.element_position_, point_coord); // Write gauss point coordinates @@ -437,10 +372,10 @@ void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairMortar interface_point_coord(Core::LinAlg::Initialization::zero); Core::LinAlg::Matrix<3, 1, double> background_point_coord(Core::LinAlg::Initialization::zero); - map_from_parametric_to_physical_space( + Constraints::EmbeddedMesh::map_from_parametric_to_physical_space( ele1pos_, xi_interface, this->ele1pos_.element_position_, interface_point_coord); - map_from_parametric_to_physical_space( + Constraints::EmbeddedMesh::map_from_parametric_to_physical_space( ele2pos_, xi_background, this->ele2pos_.element_position_, background_point_coord); // Do check to see if the physical position of the gauss point of interface @@ -497,103 +432,6 @@ void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairMortar& cp_weights, - std::vector& myknots, - std::vector& mypknots) -{ - const auto* face_element = dynamic_cast(&interface_element); - if (!face_element) FOUR_C_THROW("Cast to FaceElement failed!"); - - // Factor for surface orientation. - double normalfac = 1.0; - - // Get the knots and weights for this element. - const bool zero_size = Core::FE::Nurbs::get_knot_vector_and_weights_for_nurbs_boundary( - &interface_element, face_element->face_master_number(), face_element->parent_element_id(), - *(Global::Problem::instance()->get_dis("structure")), mypknots, myknots, cp_weights, - normalfac); - if (zero_size) - FOUR_C_THROW( - "get_knot_vector_and_weights_for_nurbs_boundary has to return a non " - "zero size."); -} - -template -double calculate_determinant_interface_element( - const Core::LinAlg::Matrix<2, 1>& eta, const Core::Elements::Element& interface_element) -{ - const int numnodes = Core::FE::num_nodes(celldistype); - Core::LinAlg::Matrix<3, numnodes> xyze; - - // Get the position of the nodes of the interface element - for (int i_dim = 0; i_dim < 3; ++i_dim) - { - for (int i_node = 0; i_node < numnodes; ++i_node) - xyze(i_dim, i_node) = (interface_element.nodes()[i_node])->x()[i_dim]; - } - - Core::LinAlg::Matrix funct; - Core::LinAlg::Matrix<2, numnodes> deriv; - - // Evaluate the shape functions and its derivatives on eta - if (celldistype == Core::FE::CellType::nurbs9) - { - Core::LinAlg::Matrix<9, 1, double> cp_weights(Core::LinAlg::Initialization::zero); - std::vector myknots(2); - std::vector mypknots(3); - - get_nurbs_information(interface_element, cp_weights, myknots, mypknots); - - Core::FE::Nurbs::nurbs_get_2d_funct_deriv(funct, deriv, eta, myknots, cp_weights, celldistype); - } - else - { - Core::FE::shape_function_2d(funct, eta(0), eta(1), celldistype); - Core::FE::shape_function_2d_deriv1(deriv, eta(0), eta(1), celldistype); - } - - // Calculate the metric tensor and obtain its determinant - Core::LinAlg::Matrix<2, 2> metrictensor; - Core::LinAlg::Matrix<2, 3> dxyzdrs; - dxyzdrs.multiply_nt(deriv, xyze); - metrictensor.multiply_nt(dxyzdrs, dxyzdrs); - double determinant = - std::sqrt(metrictensor(0, 0) * metrictensor(1, 1) - metrictensor(0, 1) * metrictensor(1, 0)); - - return determinant; -} - -double get_determinant_interface_element( - Core::LinAlg::Matrix<2, 1> eta, const Core::Elements::Element& element) -{ - double determinant_interface; - - switch (element.shape()) - { - case Core::FE::CellType::nurbs9: - { - determinant_interface = - calculate_determinant_interface_element(eta, element); - break; - } - case Core::FE::CellType::quad4: - { - determinant_interface = - calculate_determinant_interface_element(eta, element); - break; - } - default: - FOUR_C_THROW( - "The evaluation of the determinant hasn't been implemented " - "for other type of " - "elements. "); - break; - } - - return determinant_interface; -} - template void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairMortar::evaluate_dm(Core::LinAlg::Matrix& local_D, @@ -621,8 +459,8 @@ void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairMortarelement_1()); + double determinant_interface = Constraints::EmbeddedMesh::get_determinant_interface_element( + xi_interface, this->element_1()); // Get the shape function matrices N_mortar.clear(); diff --git a/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_mortar.hpp b/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_mortar.hpp index 20cbaa763fb..075164552bc 100644 --- a/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_mortar.hpp +++ b/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_mortar.hpp @@ -66,7 +66,6 @@ namespace Constraints::EmbeddedMesh * @param global_constraint (in/out) Global constraint vector. * @param global_kappa (in/out) Global scaling matrix. * @param global_lambda_active (in/out) Global vector with active Lagrange multipliers. - * @param displacement_vector (in) Global displacement vector. */ void evaluate_and_assemble_mortar_contributions(const Core::FE::Discretization& discret, const Constraints::EmbeddedMesh::SolidToSolidMortarManager* mortar_manager, @@ -76,6 +75,21 @@ namespace Constraints::EmbeddedMesh Core::LinAlg::FEVector& global_kappa, Core::LinAlg::FEVector& global_lambda_active) override; + void evaluate_and_assemble_nitsche_contributions(const Core::FE::Discretization& discret, + const Constraints::EmbeddedMesh::SolidToSolidNitscheManager* nitsche_manager, + Core::LinAlg::SparseMatrix& global_penalty_boundarylayer, + Core::LinAlg::SparseMatrix& global_penalty_background, + Core::LinAlg::SparseMatrix& global_penalty_boundarylayer_background, + Core::LinAlg::SparseMatrix& global_nitsche_interface, + Core::LinAlg::SparseMatrix& global_nitsche_background, + Core::LinAlg::SparseMatrix& global_nitsche_interface_background, + Core::LinAlg::FEVector& global_penalty_constraint, + Core::LinAlg::FEVector& global_nitsche_constraint, + double& nitsche_average_weight_param) override + { + FOUR_C_THROW("The evaluation of Nitsche contributions cannot be called from a mortar pair."); + } + /** * \brief Set the Gauss rule over the interface for element1_ and element2_. */ @@ -89,22 +103,31 @@ namespace Constraints::EmbeddedMesh private: /** - * \brief Evaluate the local mortar matrices for this contact element pair. + * \brief Evaluate the local mortar matrices for this coupling element pair. */ void evaluate_dm(Core::LinAlg::Matrix& local_D, Core::LinAlg::Matrix& local_M, Core::LinAlg::Matrix& local_kappa, Core::LinAlg::Matrix& local_constraint); - //! Current nodal positions (and tangents) of the interface element. + //! Initial nodal positions (and tangents) of the interface element. GeometryPair::ElementData ele1pos_; - //! Current nodal positions (and tangents) of the background element. + //! Initial nodal positions (and tangents) of the background element. GeometryPair::ElementData ele2pos_; + //! Current nodal positions (and tangents) of the interface element. + GeometryPair::ElementData ele1pos_current_; + + //! Current nodal positions (and tangents) of the background element. + GeometryPair::ElementData ele2pos_current_; + //! Displacements of the interface element. GeometryPair::ElementData ele1dis_; + //! Displacements of the parent element of the interface element + std::vector ele1_parent_dis_; + //! Displacements of the background element. GeometryPair::ElementData ele2dis_; @@ -112,46 +135,6 @@ namespace Constraints::EmbeddedMesh std::vector, Core::LinAlg::Matrix<3, 1>, double>> interface_integration_points_; }; - - /** - * \brief Evaluate the normal vector at the nodes of an interface element - */ - template - typename std::enable_if::value_>::type - evaluate_interface_element_nodal_normals( - GeometryPair::ElementData& element_data_surface) - { - Core::LinAlg::SerialDenseMatrix nodal_coordinates = - Core::FE::get_ele_node_numbering_nodes_paramspace(ElementType::discretization_); - Core::LinAlg::Matrix<3, 1, double> xi(Core::LinAlg::Initialization::zero); - Core::LinAlg::Matrix<3, 1, double> temp_normal; - Core::LinAlg::Matrix> normals; - - for (size_t iter_node = 0; iter_node < ElementType::n_nodes_; iter_node++) - { - for (unsigned int i_dim = 0; i_dim < 2; i_dim++) - xi(i_dim) = nodal_coordinates(i_dim, iter_node); - GeometryPair::evaluate_face_normal(xi, element_data_surface, temp_normal); - for (unsigned int i_dim = 0; i_dim < 3; i_dim++) - normals(iter_node)(i_dim) += temp_normal(i_dim); - } - - for (size_t iter_node = 0; iter_node < ElementType::n_nodes_; iter_node++) - { - normals(iter_node).scale(1.0 / Core::FADUtils::vector_norm(normals(iter_node))); - element_data_surface.nodal_normals_(0 + 3 * iter_node) = normals(iter_node)(0); - element_data_surface.nodal_normals_(1 + 3 * iter_node) = normals(iter_node)(1); - element_data_surface.nodal_normals_(2 + 3 * iter_node) = normals(iter_node)(2); - } - } - - template - std::enable_if_t::value_> - evaluate_interface_element_nodal_normals( - GeometryPair::ElementData& element_data_surface) - { - } - } // namespace Constraints::EmbeddedMesh FOUR_C_NAMESPACE_CLOSE diff --git a/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_nitsche.cpp b/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_nitsche.cpp new file mode 100644 index 00000000000..711a8b975f2 --- /dev/null +++ b/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_nitsche.cpp @@ -0,0 +1,1096 @@ +// This file is part of 4C multiphysics licensed under the +// GNU Lesser General Public License v3.0 or later. +// +// See the LICENSE.md file in the top-level for license information. +// +// SPDX-License-Identifier: LGPL-3.0-or-later + +#include "4C_constraint_framework_embeddedmesh_interaction_pair_nitsche.hpp" + +#include "4C_constraint_framework_embeddedmesh_solid_to_solid_nitsche_manager.hpp" +#include "4C_constraint_framework_embeddedmesh_solid_to_solid_utils.hpp" +#include "4C_cut_boundarycell.hpp" +#include "4C_cut_cutwizard.hpp" +#include "4C_cut_elementhandle.hpp" +#include "4C_cut_sidehandle.hpp" +#include "4C_fem_general_extract_values.hpp" +#include "4C_geometry_pair_element.hpp" +#include "4C_geometry_pair_element_evaluation_functions.hpp" +#include "4C_geometry_pair_line_to_surface.hpp" +#include "4C_geometry_pair_line_to_volume.hpp" +#include "4C_solid_3D_ele.hpp" +#include "4C_solid_3D_ele_calc_lib_nitsche.hpp" + +FOUR_C_NAMESPACE_OPEN + + +template +Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairNitsche::SurfaceToBackgroundCouplingPairNitsche(std::shared_ptr + element1, + Core::Elements::Element* element2, Constraints::EmbeddedMesh::EmbeddedMeshParams& params_ptr, + std::shared_ptr& cutwizard_ptr, + std::vector>& boundary_cells) + : SolidInteractionPair(element1, element2, params_ptr, cutwizard_ptr, boundary_cells) +{ + // Add parameters + params_ = params_ptr; + + // Get a pointer to the parent element of element_1() + auto face_element = dynamic_cast(&this->element_1()); + if (!face_element) FOUR_C_THROW("Cast to FaceElement failed!"); + parent_element1_ = (face_element->parent_element()); + + // Get kinematics of parent and background elements + auto* parent_solid_ele = dynamic_cast(&this->parent_element_1()); + if (!parent_solid_ele) + FOUR_C_THROW( + "This implementation of the embedded mesh method only works for new solid elements."); + parent_element1_kinem_ = parent_solid_ele->kinematic_type(); + + auto* background_solid_ele = dynamic_cast(&this->element_2()); + if (!background_solid_ele) + FOUR_C_THROW( + "This implementation of the embedded mesh method only works for new solid elements."); + element2_kinem_ = background_solid_ele->kinematic_type(); + + // Initialize the element positions and displacement containers + ele1pos_ = GeometryPair::InitializeElementData::initialize(&this->element_1()); + ele1parentpos_ = GeometryPair::InitializeElementData::initialize( + &this->parent_element_1()); + ele2pos_ = + GeometryPair::InitializeElementData::initialize(&this->element_2()); + + ele1dis_ = GeometryPair::InitializeElementData::initialize(&this->element_1()); + ele1parentdis_ = GeometryPair::InitializeElementData::initialize( + &this->parent_element_1()); + ele2dis_ = + GeometryPair::InitializeElementData::initialize(&this->element_2()); + + // Write the initial position of the elements + for (int node_ele1 = 0; node_ele1 < element_1().num_point(); node_ele1++) + { + // nodal positions + ele1pos_.element_position_(0 + 3 * node_ele1) = element_1().nodes()[node_ele1]->x()[0]; + ele1pos_.element_position_(1 + 3 * node_ele1) = element_1().nodes()[node_ele1]->x()[1]; + ele1pos_.element_position_(2 + 3 * node_ele1) = element_1().nodes()[node_ele1]->x()[2]; + } + + for (int node_ele1parent = 0; node_ele1parent < parent_element_1().num_point(); node_ele1parent++) + { + // nodal positions + ele1parentpos_.element_position_(0 + 3 * node_ele1parent) = + parent_element_1().nodes()[node_ele1parent]->x()[0]; + ele1parentpos_.element_position_(1 + 3 * node_ele1parent) = + parent_element_1().nodes()[node_ele1parent]->x()[1]; + ele1parentpos_.element_position_(2 + 3 * node_ele1parent) = + parent_element_1().nodes()[node_ele1parent]->x()[2]; + } + + for (int node_ele2 = 0; node_ele2 < element_2().num_point(); node_ele2++) + { + // nodal positions + ele2pos_.element_position_(0 + 3 * node_ele2) = element_2().nodes()[node_ele2]->x()[0]; + ele2pos_.element_position_(1 + 3 * node_ele2) = element_2().nodes()[node_ele2]->x()[1]; + ele2pos_.element_position_(2 + 3 * node_ele2) = element_2().nodes()[node_ele2]->x()[2]; + } + + // From the gauss rule of the boundary cells related to this pair, set the gauss rule for the + // interface and background element + set_gauss_rule_for_interface_and_background(); +} + + +template +void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairNitsche::set_current_element_position(Core::FE::Discretization const& discret, + const Core::LinAlg::Vector& displacement_vector) +{ + std::vector interface_dofvec_timestep = std::vector(); + std::vector parent_dofvec_timestep = std::vector(); + std::vector background_dofvec_timestep = std::vector(); + + Constraints::EmbeddedMesh::get_current_element_displacement( + discret, &element_1(), displacement_vector, interface_dofvec_timestep); + Constraints::EmbeddedMesh::get_current_element_displacement( + discret, &parent_element_1(), displacement_vector, parent_dofvec_timestep); + Constraints::EmbeddedMesh::get_current_element_displacement( + discret, &element_2(), displacement_vector, background_dofvec_timestep); + + // Set the displacements of the first element + for (int node_ele1 = 0; node_ele1 < element_1().num_point(); node_ele1++) + { + // nodal displacements + ele1dis_.element_position_(0 + 3 * node_ele1) = interface_dofvec_timestep[0 + 3 * node_ele1]; + ele1dis_.element_position_(1 + 3 * node_ele1) = interface_dofvec_timestep[1 + 3 * node_ele1]; + ele1dis_.element_position_(2 + 3 * node_ele1) = interface_dofvec_timestep[2 + 3 * node_ele1]; + } + + // Set the displacements of the parent element + for (int node_ele1parent = 0; node_ele1parent < parent_element_1().num_point(); node_ele1parent++) + { + // nodal positions + ele1parentdis_.element_position_(0 + 3 * node_ele1parent) = + parent_dofvec_timestep[0 + 3 * node_ele1parent]; + ele1parentdis_.element_position_(1 + 3 * node_ele1parent) = + parent_dofvec_timestep[1 + 3 * node_ele1parent]; + ele1parentdis_.element_position_(2 + 3 * node_ele1parent) = + parent_dofvec_timestep[2 + 3 * node_ele1parent]; + } + + // Set the displacements of the second element + for (int node_ele2 = 0; node_ele2 < element_2().num_point(); node_ele2++) + { + // nodal displacements + ele2dis_.element_position_(0 + 3 * node_ele2) = background_dofvec_timestep[0 + 3 * node_ele2]; + ele2dis_.element_position_(1 + 3 * node_ele2) = background_dofvec_timestep[1 + 3 * node_ele2]; + ele2dis_.element_position_(2 + 3 * node_ele2) = background_dofvec_timestep[2 + 3 * node_ele2]; + } +} + + +template +void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairNitsche::set_gauss_rule_for_interface_and_background() +{ + // Variables before iterating over boundary cells + Core::LinAlg::Matrix<3, 1> interface_reference_position; + Core::LinAlg::Matrix<3, 1> interface_position; + Core::LinAlg::Matrix<3, 1> interface_displacement; + int current_numpoints = interface_integration_points_.size(); + + // Iterate over the boundary cells, get their gauss points and save them + auto boundary_cells = get_boundary_cells(); + for (auto it_boundarycell = boundary_cells.begin(); it_boundarycell != boundary_cells.end(); + ++it_boundarycell) + { + // Check if the shape of the boundary cell is CellType::tri3 + FOUR_C_ASSERT(it_boundarycell->get()->shape() == Core::FE::CellType::tri3, + "The current implementation only works for boundary cells with shape " + "Core::FE::CellType::tri3."); + + // Project the gauss points of the boundary cell segment to the interface + const std::shared_ptr gps_boundarycell = + Constraints::EmbeddedMesh::project_boundary_cell_gauss_rule_on_interface(it_boundarycell->get(), ele1pos_); + + // Save the number of gauss points per boundary cell. The check is done only in + // the first boundary cell since all the boundary cells have the same cubature + // degree and have the same shape (tri3) + if (it_boundarycell == boundary_cells.begin()) + num_gauss_points_boundary_cell_ = gps_boundarycell->num_points(); + + // Add the gauss points of the boundary cell to interface_integration_points + interface_integration_points_.resize(current_numpoints + gps_boundarycell->num_points()); + + for (int it_gp = 0; it_gp < gps_boundarycell->num_points(); it_gp++) + { + auto& [xi_interface, xi_background, weight] = + interface_integration_points_[current_numpoints + it_gp]; + + // Write the gauss points over the interface + xi_interface(0) = gps_boundarycell->point(it_gp)[0]; + xi_interface(1) = gps_boundarycell->point(it_gp)[1]; + + // Project gauss points on the background element and write them + GeometryPair::evaluate_position(xi_interface, ele1pos_, interface_position); + + GeometryPair::ProjectionResult temp_projection_result; + GeometryPair::project_point_to_volume( + interface_position, ele2pos_, xi_background, temp_projection_result); + + // Write the weight + weight = gps_boundarycell->weight(it_gp); + } + current_numpoints += gps_boundarycell->num_points(); + } +} + +template +void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairNitsche::evaluate_and_assemble_nitsche_contributions(const Core::FE::Discretization& + discret, + const Constraints::EmbeddedMesh::SolidToSolidNitscheManager* nitsche_manager, + Core::LinAlg::SparseMatrix& global_penalty_interface, + Core::LinAlg::SparseMatrix& global_penalty_background, + Core::LinAlg::SparseMatrix& global_penalty_interface_background, + Core::LinAlg::SparseMatrix& global_nitsche_parent, + Core::LinAlg::SparseMatrix& global_nitsche_background, + Core::LinAlg::SparseMatrix& global_nitsche_parent_background, + Core::LinAlg::FEVector& global_penalty_constraint, + Core::LinAlg::FEVector& global_nitsche_constraint, double& nitsche_average_weight_param) +{ + // Initialize variables for local penalty contributions. + Core::LinAlg::Matrix + local_stiffness_penalty_interface(Core::LinAlg::Initialization::uninitialized); + Core::LinAlg::Matrix + local_stiffness_penalty_background(Core::LinAlg::Initialization::uninitialized); + Core::LinAlg::Matrix + local_stiffness_penalty_interface_background(Core::LinAlg::Initialization::uninitialized); + Core::LinAlg::Matrix local_constraint_penalty( + Core::LinAlg::Initialization::uninitialized); + + // Initialize variables for local stress contributions. + Core::LinAlg::Matrix + local_stiffness_nitsche_parent_interface(Core::LinAlg::Initialization::uninitialized); + Core::LinAlg::Matrix + local_stiffness_nitsche_background(Core::LinAlg::Initialization::uninitialized); + Core::LinAlg::Matrix + local_stiffness_nitsche_parent_background(Core::LinAlg::Initialization::uninitialized); + Core::LinAlg::Matrix + local_constraint_nitsche(Core::LinAlg::Initialization::uninitialized); + + // Evaluate the local penalty contributions of Nitsche method + evaluate_penalty_contributions_nitsche(local_stiffness_penalty_interface, + local_stiffness_penalty_background, local_stiffness_penalty_interface_background, + local_constraint_penalty); + + // Evaluate stress contributions of Nitsche method + evaluate_stress_contributions_nitsche(discret, local_stiffness_nitsche_parent_interface, + local_stiffness_nitsche_background, local_stiffness_nitsche_parent_background, + local_constraint_nitsche, nitsche_average_weight_param); + + // Assemble into global matrices. + assemble_local_nitsche_contributions(this, discret, + global_penalty_interface, global_penalty_background, global_penalty_interface_background, + global_nitsche_parent, global_nitsche_background, global_nitsche_parent_background, + global_penalty_constraint, global_nitsche_constraint, local_stiffness_penalty_interface, + local_stiffness_penalty_background, local_stiffness_penalty_interface_background, + local_stiffness_nitsche_parent_interface, local_stiffness_nitsche_background, + local_stiffness_nitsche_parent_background, local_constraint_penalty, + local_constraint_nitsche); +} + + +/*! + * \brief Return the Gauss points of a face element in its parent element + */ +template +void interface_element_gp_in_solid(Core::Elements::FaceElement& face_element, const double wgt, + const double* gp_coord_face, Core::LinAlg::Matrix& gp_coord_parent, + Core::LinAlg::Matrix& derivtrafo) +{ + Core::FE::CollectedGaussPoints intpoints = + Core::FE::CollectedGaussPoints(1); // reserve just for 1 entry ... + intpoints.append(gp_coord_face[0], gp_coord_face[1], 0.0, wgt); + + // get coordinates of gauss point w.r.t. local parent coordinate system + Core::LinAlg::SerialDenseMatrix temp_gp_coord_parent(1, dim); + derivtrafo.clear(); + + Core::FE::boundary_gp_to_parent_gp(temp_gp_coord_parent, derivtrafo, intpoints, + face_element.parent_element()->shape(), face_element.shape(), + face_element.face_parent_number()); + + // coordinates of the current integration point in parent coordinate system + for (int idim = 0; idim < dim; idim++) gp_coord_parent(idim) = temp_gp_coord_parent(0, idim); +} + +template +struct QuantitiesDomainEvaluatedAtXi +{ + /// Derivative of the shape functions w.r.t. the reference coordinates + const Core::LinAlg::Matrix, Core::FE::num_nodes(celltype), double> N_XYZ_; + + /// Deformation gradient + const Core::LinAlg::Matrix<3, 3> defgrad_; + + /// First Piola-Kirchhoff stresses + const Core::LinAlg::Matrix<3, 3> pk1_; + + /// Second Piola-Kirchhoff stresses + Discret::Elements::Stress pk2_; +}; + + +template +struct LinearizationDependencies +{ + Core::LinAlg::Matrix, Core::FE::dim> d_defgrad_; + + Core::LinAlg::Matrix<3, 3> d_pk2_; +}; + +// Helper function to evaluate necessary quantities of a domain at xi (like stress, deformation +// gradient and so on...) +template +QuantitiesDomainEvaluatedAtXi evaluate_domain_quantities_at_xi( + const Core::FE::Discretization& discret, const Core::Elements::Element& element, + Inpar::Solid::KinemType ele_kinem_type, + const Core::LinAlg::Matrix initial_position_ele, + const std::vector& ele_displacement, Core::LinAlg::Matrix<3, 1>& xi, + Core::LinAlg::Matrix, Core::FE::num_nodes(celltype), double> dxi_N) +{ + const Core::LinAlg::Tensor> xi_tensor = + Core::LinAlg::reinterpret_as_tensor>(xi); + + const Discret::Elements::ElementNodes element_nodes = + Discret::Elements::evaluate_element_nodes(element, ele_displacement, &discret); + + const Discret::Elements::ShapeFunctionsAndDerivatives shape_functions = + Discret::Elements::evaluate_shape_functions_and_derivs(xi_tensor, element_nodes); + + const Discret::Elements::JacobianMapping jacobian_mapping = + Discret::Elements::evaluate_jacobian_mapping(shape_functions, element_nodes); + + Core::LinAlg::Tensor, Core::FE::dim> + deformation_gradient = + Discret::Elements::evaluate_deformation_gradient(jacobian_mapping, element_nodes); + + const Discret::Elements::SpatialMaterialMapping spatial_material_mapping = + evaluate_spatial_material_mapping(jacobian_mapping, element_nodes); + + const Core::LinAlg::SymmetricTensor, Core::FE::dim> + strain = [&]() + { + if (ele_kinem_type == Inpar::Solid::KinemType::linear) + { + return Discret::Elements::evaluate_linear_gl_strain( + element_nodes, Discret::Elements::evaluate_linear_strain_gradient(jacobian_mapping)); + } + else if (ele_kinem_type == Inpar::Solid::KinemType::nonlinearTotLag) + { + const Core::LinAlg::SymmetricTensor, Core::FE::dim> + cauchygreen = evaluate_cauchy_green(spatial_material_mapping); + + return Discret::Elements::evaluate_green_lagrange_strain(cauchygreen); + } + else + { + FOUR_C_THROW( + "kinem_type not supported for the evaluation of the first Piola-Kirchhoff stresses!"); + } + }(); + + auto* solid_ele = dynamic_cast(&element); + if (!solid_ele) FOUR_C_THROW("Cast to Discret::Elements::Solid failed!"); + + // Setting a parameter list (I think this is actually not used in the evaluate_material_stress + // function, therefore I have it empty) + Teuchos::ParameterList params; + Mat::EvaluationContext context{.total_time = nullptr, // Do not have the time here + .time_step_size = nullptr, // Do not have the time-step here + .xi = &xi_tensor, + .ref_coords = nullptr}; + // Setting the number of Gauss point (gp) to zero (this is later used for a warning, but not + // relevant for calculations) + const int gp = 0; + auto pk2 = Discret::Elements::evaluate_material_stress(*(solid_ele->solid_material()), + deformation_gradient, strain, params, context, gp, element.id()); + + // Calculate the 1st Piola-Kirchhoff stresses + Core::LinAlg::Matrix<3, 3> def_gradient = Core::LinAlg::make_matrix_view(deformation_gradient); + Core::LinAlg::Matrix<3, 3> def_gradient_inv(Core::LinAlg::Initialization::zero); + def_gradient_inv.invert(def_gradient); + + Core::LinAlg::Matrix<3, 3> pk2_matrix(Core::LinAlg::Initialization::zero); + pk2_matrix(0, 0) = pk2.pk2_(0, 0); + pk2_matrix(1, 1) = pk2.pk2_(1, 1); + pk2_matrix(2, 2) = pk2.pk2_(2, 2); + pk2_matrix(0, 1) = pk2.pk2_(0, 1); + pk2_matrix(1, 0) = pk2.pk2_(0, 1); + pk2_matrix(1, 2) = pk2.pk2_(1, 2); + pk2_matrix(2, 1) = pk2.pk2_(1, 2); + pk2_matrix(0, 2) = pk2.pk2_(0, 2); + pk2_matrix(2, 0) = pk2.pk2_(0, 2); + Core::LinAlg::Matrix<3, 3> pk1(Core::LinAlg::Initialization::zero); + pk1.multiply(def_gradient, pk2_matrix); + + // Evaluate the derivatives of the shape functions with respect to the reference coordinates XYZ + Core::LinAlg::Matrix<3, 3, double> jacobian_background(Core::LinAlg::Initialization::zero); + jacobian_background.multiply(dxi_N, initial_position_ele); + + Core::LinAlg::Matrix<3, 3, double> jacobian_background_inv(Core::LinAlg::Initialization::zero); + jacobian_background_inv.invert(jacobian_background); + + Core::LinAlg::Matrix, Core::FE::num_nodes(celltype), double> dX_N( + Core::LinAlg::Initialization::uninitialized); + dX_N.multiply(jacobian_background_inv, dxi_N); + + // Return quantities + QuantitiesDomainEvaluatedAtXi quantities_domain_at_xi{dX_N, def_gradient, pk1, pk2}; + return quantities_domain_at_xi; +} + + +// Calculate the variation of the 1st. Piola-Kirchhoff stresses at a node in a certain dimensional +// direction (in 3D, dir = 0, 1, 2) +template +std::tuple, LinearizationDependencies> +evaluate_variation_first_pk_at_node_dir(unsigned int& num_node, unsigned int& n_dir, + QuantitiesDomainEvaluatedAtXi& quantities_domain_at_xi, + Inpar::Solid::KinemType kinem_type) +{ + LinearizationDependencies linearization_dependencies; + + // Get the variation of the deformation gradient at a node and direction + linearization_dependencies.d_defgrad_.put_scalar(0.0); + for (int i_dim = 0; i_dim < Core::FE::dim; i_dim++) + linearization_dependencies.d_defgrad_(n_dir, i_dim) = + quantities_domain_at_xi.N_XYZ_(i_dim, num_node); + + // Get the variation of the Green-Lagrange strains at a node and direction + Core::LinAlg::Matrix<3, 3> d_strain(Core::LinAlg::Initialization::zero); + if (kinem_type == Inpar::Solid::KinemType::linear) + { + // Evaluate the derivative of the linear strain + for (int i_dim = 0; i_dim < Core::FE::dim; ++i_dim) + { + d_strain(n_dir, i_dim) += 0.5 * quantities_domain_at_xi.N_XYZ_(i_dim, num_node); + d_strain(i_dim, n_dir) += 0.5 * quantities_domain_at_xi.N_XYZ_(i_dim, num_node); + } + } + else if (kinem_type == Inpar::Solid::KinemType::nonlinearTotLag) + { + // Evaluate the derivative of the Green-Lagrange strain + Core::LinAlg::Matrix<3, 3> d_defgradT_defgrad(Core::LinAlg::Initialization::zero); + d_defgradT_defgrad.multiply_tn( + linearization_dependencies.d_defgrad_, quantities_domain_at_xi.defgrad_); + d_strain.update(0.5, d_defgradT_defgrad, 1.0); + + Core::LinAlg::Matrix<3, 3> defgradT_d_defgrad(Core::LinAlg::Initialization::zero); + defgradT_d_defgrad.multiply_tn( + quantities_domain_at_xi.defgrad_, linearization_dependencies.d_defgrad_); + d_strain.update(0.5, defgradT_d_defgrad, 1.0); + } + else + FOUR_C_THROW( + "kinem_type not supported for the evaluation of the first Piola-Kirchhoff stresses!"); + + + Core::LinAlg::Matrix<6, 1> d_strain_voigt(Core::LinAlg::Initialization::zero); + d_strain_voigt(0) = d_strain(0, 0); + d_strain_voigt(1) = d_strain(1, 1); + d_strain_voigt(2) = d_strain(2, 2); + d_strain_voigt(3) = 2 * d_strain(0, 1); + d_strain_voigt(4) = 2 * d_strain(1, 2); + d_strain_voigt(5) = 2 * d_strain(0, 2); + + // Get the variation of the second Piola-Kirchhoff stress at a node and direction + Core::LinAlg::Matrix<6, 1> d_pk2_voigt(Core::LinAlg::Initialization::zero); + d_pk2_voigt.multiply( + make_stress_like_voigt_view(quantities_domain_at_xi.pk2_.cmat_), d_strain_voigt); + + linearization_dependencies.d_pk2_.put_scalar(0.0); + linearization_dependencies.d_pk2_(0, 0) = d_pk2_voigt(0); + linearization_dependencies.d_pk2_(1, 1) = d_pk2_voigt(1); + linearization_dependencies.d_pk2_(2, 2) = d_pk2_voigt(2); + linearization_dependencies.d_pk2_(0, 1) = d_pk2_voigt(3); + linearization_dependencies.d_pk2_(1, 0) = d_pk2_voigt(3); + linearization_dependencies.d_pk2_(1, 2) = d_pk2_voigt(4); + linearization_dependencies.d_pk2_(2, 1) = d_pk2_voigt(4); + linearization_dependencies.d_pk2_(0, 2) = d_pk2_voigt(5); + linearization_dependencies.d_pk2_(2, 0) = d_pk2_voigt(5); + + // Get the variation of the first Piola-Kirchhoff stresses at a node and direction + Core::LinAlg::Matrix<3, 3> d_defgrad_pk2(Core::LinAlg::Initialization::zero); + Core::LinAlg::Matrix<3, 3> pk2_matrix(Core::LinAlg::Initialization::zero); + for (int i_dim = 0; i_dim < Core::FE::dim; i_dim++) + for (int j_dim = 0; j_dim < Core::FE::dim; j_dim++) + pk2_matrix(i_dim, j_dim) = quantities_domain_at_xi.pk2_.pk2_(i_dim, j_dim); + d_defgrad_pk2.multiply(linearization_dependencies.d_defgrad_, pk2_matrix); + + Core::LinAlg::Matrix<3, 3> defgrad_d_pk2(Core::LinAlg::Initialization::zero); + defgrad_d_pk2.multiply(quantities_domain_at_xi.defgrad_, linearization_dependencies.d_pk2_); + + // set d_pk1_node_dir to zero for safety + Core::LinAlg::Matrix<3, 3> d_pk1_node_dir(Core::LinAlg::Initialization::zero); + d_pk1_node_dir.update(1.0, d_defgrad_pk2, 1.0); + d_pk1_node_dir.update(1.0, defgrad_d_pk2, 1.0); + + return {d_pk1_node_dir, linearization_dependencies}; +} + +template +Core::LinAlg::Matrix, Core::FE::dim> +evaluate_lin_variation_first_pk(LinearizationDependencies& lin_dependencies_d_dof, + LinearizationDependencies& lin_dependencies_dof, + QuantitiesDomainEvaluatedAtXi& quantities_domain_at_xi) +{ + // Get the linearization of the virtual Green-Lagrange strains + Core::LinAlg::Matrix<3, 3> lin_d_glstrain(Core::LinAlg::Initialization::zero); + Core::LinAlg::Matrix<3, 3> d_defgradT_lin_defgrad(Core::LinAlg::Initialization::zero); + d_defgradT_lin_defgrad.multiply_tn( + lin_dependencies_d_dof.d_defgrad_, lin_dependencies_dof.d_defgrad_); + lin_d_glstrain.update(0.5, d_defgradT_lin_defgrad, 1.0); + + Core::LinAlg::Matrix<3, 3> lin_defgradT_d_defgrad(Core::LinAlg::Initialization::zero); + lin_defgradT_d_defgrad.multiply_tn( + lin_dependencies_dof.d_defgrad_, lin_dependencies_d_dof.d_defgrad_); + lin_d_glstrain.update(0.5, lin_defgradT_d_defgrad, 1.0); + + Core::LinAlg::Matrix<6, 1> lin_d_glstrain_voigt(Core::LinAlg::Initialization::zero); + lin_d_glstrain_voigt(0) = lin_d_glstrain(0, 0); + lin_d_glstrain_voigt(1) = lin_d_glstrain(1, 1); + lin_d_glstrain_voigt(2) = lin_d_glstrain(2, 2); + lin_d_glstrain_voigt(3) = 2 * lin_d_glstrain(0, 1); + lin_d_glstrain_voigt(4) = 2 * lin_d_glstrain(1, 2); + lin_d_glstrain_voigt(5) = 2 * lin_d_glstrain(0, 2); + + // Get the linearization of the variation of the second Piola-Kirchhoff stress + Core::LinAlg::Matrix<6, 1> lin_d_pk2_voigt(Core::LinAlg::Initialization::zero); + lin_d_pk2_voigt.multiply( + make_stress_like_voigt_view(quantities_domain_at_xi.pk2_.cmat_), lin_d_glstrain_voigt); + + Core::LinAlg::Matrix<3, 3> lin_d_pk2(Core::LinAlg::Initialization::zero); + lin_d_pk2.put_scalar(0.0); + lin_d_pk2(0, 0) = lin_d_pk2_voigt(0); + lin_d_pk2(1, 1) = lin_d_pk2_voigt(1); + lin_d_pk2(2, 2) = lin_d_pk2_voigt(2); + lin_d_pk2(0, 1) = lin_d_pk2_voigt(3); + lin_d_pk2(1, 0) = lin_d_pk2_voigt(3); + lin_d_pk2(1, 2) = lin_d_pk2_voigt(4); + lin_d_pk2(2, 1) = lin_d_pk2_voigt(4); + lin_d_pk2(0, 2) = lin_d_pk2_voigt(5); + lin_d_pk2(2, 0) = lin_d_pk2_voigt(5); + + // Calculate the linearization of the variation of the first Piola-Kirchhoff stresses + Core::LinAlg::Matrix, Core::FE::dim> lin_d_pk1( + Core::LinAlg::Initialization::zero); + + Core::LinAlg::Matrix<3, 3> d_defgrad_lin_pk2(Core::LinAlg::Initialization::zero); + d_defgrad_lin_pk2.multiply(lin_dependencies_d_dof.d_defgrad_, lin_dependencies_dof.d_pk2_); + lin_d_pk1.update(1.0, d_defgrad_lin_pk2, 1.0); + + Core::LinAlg::Matrix<3, 3> lin_defgrad_d_pk2(Core::LinAlg::Initialization::zero); + lin_defgrad_d_pk2.multiply(lin_dependencies_dof.d_defgrad_, lin_dependencies_d_dof.d_pk2_); + lin_d_pk1.update(1.0, lin_defgrad_d_pk2, 1.0); + + Core::LinAlg::Matrix<3, 3> defgrad_lin_d_pk2(Core::LinAlg::Initialization::zero); + defgrad_lin_d_pk2.multiply(quantities_domain_at_xi.defgrad_, lin_d_pk2); + lin_d_pk1.update(1.0, defgrad_lin_d_pk2, 1.0); + + return lin_d_pk1; +} + + +template +void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairNitsche::evaluate_stress_contributions_nitsche(const Core::FE::Discretization& discret, + Core::LinAlg::Matrix& + local_stiffness_nitsche_parent, + Core::LinAlg::Matrix& + local_stiffness_nitsche_background, + Core::LinAlg::Matrix& + local_stiffness_nitsche_parent_background, + Core::LinAlg::Matrix& + local_constraint_nitsche, + double& nitsche_average_weight_param) +{ + // The following calculations are meant for 3D elements, therefore check the dimension of the + // interface parent element and the background element. + FOUR_C_ASSERT(Interface::spatial_dim_ + 1 != 3 or Background::spatial_dim_ != 3, + "The following implementation is only for 3d elements."); + + // Initialize the local stress matrices. + local_stiffness_nitsche_parent.put_scalar(0.0); + local_stiffness_nitsche_background.put_scalar(0.0); + local_stiffness_nitsche_parent_background.put_scalar(0.0); + local_constraint_nitsche.put_scalar(0.0); + + // Initialize variables for shape function values. + Core::LinAlg::Matrix<1, Interface::n_nodes_, double> N_interface( + Core::LinAlg::Initialization::zero); + Core::LinAlg::Matrix<1, ParentInterface::n_nodes_, double> N_parent( + Core::LinAlg::Initialization::zero); + Core::LinAlg::Matrix<1, Background::n_nodes_, double> N_background( + Core::LinAlg::Initialization::zero); + + // Matrix for derivatives of the shape functions with respect to the parametric coordinates + Core::LinAlg::Matrix dN_interface( + Core::LinAlg::Initialization::zero); + Core::LinAlg::Matrix dN_parent( + Core::LinAlg::Initialization::zero); + Core::LinAlg::Matrix dN_background( + Core::LinAlg::Initialization::zero); + + // Get nodal initial position of parent and background elements + Core::LinAlg::Matrix nodal_initpos_interface( + Core::LinAlg::Initialization::zero); + for (int i_dim = 0; i_dim < 3; i_dim++) + for (int i_interface_node = 0; i_interface_node < Interface::n_nodes_; i_interface_node++) + nodal_initpos_interface(i_interface_node, i_dim) = + ele1pos_.element_position_(i_dim + 3 * i_interface_node); + + Core::LinAlg::Matrix nodal_initpos_parent( + Core::LinAlg::Initialization::zero); + for (int i_dim = 0; i_dim < 3; i_dim++) + for (int i_parent_node = 0; i_parent_node < ParentInterface::n_nodes_; i_parent_node++) + nodal_initpos_parent(i_parent_node, i_dim) = + ele1parentpos_.element_position_(i_dim + 3 * i_parent_node); + + Core::LinAlg::Matrix nodal_initpos_background( + Core::LinAlg::Initialization::zero); + for (int i_dim = 0; i_dim < 3; i_dim++) + for (int i_background_node = 0; i_background_node < Background::n_nodes_; i_background_node++) + nodal_initpos_background(i_background_node, i_dim) = + ele2pos_.element_position_(i_dim + 3 * i_background_node); + + // Get nodal displacement of parent and background elements + std::vector nodal_disp_parent; + for (unsigned int i_n_dof = 0; i_n_dof < ParentInterface::n_dof_; i_n_dof++) + nodal_disp_parent.push_back(ele1parentdis_.element_position_(i_n_dof)); + + std::vector nodal_disp_background; + for (unsigned int i_n_dof = 0; i_n_dof < Background::n_dof_; i_n_dof++) + nodal_disp_background.push_back(ele2dis_.element_position_(i_n_dof)); + + // Calculate the stress contributions to stiffness. + // Gauss point loop + for (size_t it_gp = 0; it_gp < interface_integration_points_.size(); it_gp++) + { + auto& [xi_interface, xi_background, weight] = interface_integration_points_[it_gp]; + double determinant_interface = Constraints::EmbeddedMesh::get_determinant_interface_element( + xi_interface, this->element_1()); + + // To evaluate the first Piola-Kirchhoff stresses in the parent element of the face element, we + // need to obtain the corresponding coordinates of the Gauss points of the face element + // projected into its parent element + auto face_element = dynamic_cast(&element_1()); + if (!face_element) FOUR_C_THROW("Cast to FaceElement failed!"); + Core::LinAlg::Matrix<3, 1> xi_parent(Core::LinAlg::Initialization::zero); + Core::LinAlg::Matrix<3, 3> temp; + interface_element_gp_in_solid( + *face_element, 1., xi_interface.data(), xi_parent, temp); + + // Clear the shape function matrices + N_interface.clear(); + N_parent.clear(); + N_background.clear(); + dN_parent.clear(); + dN_background.clear(); + + GeometryPair::EvaluateShapeFunction::evaluate( + N_interface, xi_interface, ele1pos_.shape_function_data_); + GeometryPair::EvaluateShapeFunction::evaluate( + N_parent, xi_parent, ele1parentpos_.shape_function_data_); + GeometryPair::EvaluateShapeFunction::evaluate( + N_background, xi_background, ele2pos_.shape_function_data_); + + GeometryPair::EvaluateShapeFunction::evaluate_deriv1( + dN_interface, xi_interface, ele1pos_.shape_function_data_); + GeometryPair::EvaluateShapeFunction::evaluate_deriv1( + dN_parent, xi_parent, ele1parentpos_.shape_function_data_); + GeometryPair::EvaluateShapeFunction::evaluate_deriv1( + dN_background, xi_background, ele2pos_.shape_function_data_); + + // Obtain the normal in the reference configuration of the interface at xi + Core::LinAlg::Matrix<3, 1, double> unit_normal_interface; + GeometryPair::evaluate_face_normal(xi_interface, ele1pos_, unit_normal_interface); + + // evaluate first Piola-Kirchhoff stress and other necessary quantities on the interface at xi + auto quantities_at_xi_parent = + evaluate_domain_quantities_at_xi(discret, + parent_element_1(), parent_element1_kinem_, nodal_initpos_parent, nodal_disp_parent, + xi_parent, dN_parent); + + // evaluate first Piola-Kirchhoff stress and other necessary quantities on the background at xi + auto quantities_at_xi_background = + evaluate_domain_quantities_at_xi(discret, element_2(), + element2_kinem_, nodal_initpos_background, nodal_disp_background, xi_background, + dN_background); + + // evaluate the weighted difference between the first Piola-Kirchhoff stresses of the interface + // and the background + Core::LinAlg::Matrix<3, 1> traction_pk1_interface(Core::LinAlg::Initialization::zero); + traction_pk1_interface.multiply(quantities_at_xi_parent.pk1_, unit_normal_interface); + + + Core::LinAlg::Matrix<3, 1> traction_pk1_background(Core::LinAlg::Initialization::zero); + traction_pk1_background.multiply(quantities_at_xi_background.pk1_, unit_normal_interface); + + Core::LinAlg::Matrix<3, 1> traction_pk1_weighted(Core::LinAlg::Initialization::zero); + for (int i_dim = 0; i_dim < 3; ++i_dim) + traction_pk1_weighted(i_dim) = + nitsche_average_weight_param * traction_pk1_interface(i_dim) + + (1.0 - nitsche_average_weight_param) * traction_pk1_background(i_dim); + + // Evaluate gap between interface and background at this gauss point + Core::LinAlg::Matrix<3, 1> displacement_at_xi_interface(Core::LinAlg::Initialization::zero); + for (unsigned int i_dir = 0; i_dir < 3; ++i_dir) + { + for (unsigned int i_interface = 0; i_interface < Interface::n_nodes_; ++i_interface) + displacement_at_xi_interface(i_dir) += + N_interface(i_interface) * this->ele1dis_.element_position_(i_interface * 3 + i_dir); + } + + Core::LinAlg::Matrix<3, 1> displacement_at_xi_background(Core::LinAlg::Initialization::zero); + for (unsigned int i_dir = 0; i_dir < 3; ++i_dir) + { + for (unsigned int i_background = 0; i_background < Background::n_nodes_; ++i_background) + displacement_at_xi_background(i_dir) += + N_background(i_background) * this->ele2dis_.element_position_(i_background * 3 + i_dir); + } + + Core::LinAlg::Matrix<3, 1> gap_at_xi(Core::LinAlg::Initialization::zero); + for (unsigned int i_dir = 0; i_dir < 3; ++i_dir) + gap_at_xi(i_dir) = displacement_at_xi_interface(i_dir) - displacement_at_xi_background(i_dir); + + // As the calculations of the first Piola-Kirchhoff stresses are done in the parent element of + // the face element, we need the locations of the dofs of the interface in its parent element. + // These locations are saved in a vector and used for calculating the contributions to the + // stiffness matrix. + std::vector id_nodes_parent_ele; + auto nodes_parent_ele = face_element->parent_element()->nodes(); + for (int inode = 0; inode < face_element->parent_element()->num_node(); ++inode) + id_nodes_parent_ele.push_back(nodes_parent_ele[inode]->id()); + + std::unordered_map interface_solid_index; + interface_solid_index.reserve(id_nodes_parent_ele.size()); + for (int i = 0; i < id_nodes_parent_ele.size(); ++i) + interface_solid_index[id_nodes_parent_ele[i]] = i; + + std::vector id_nodes_face_ele; + auto nodes_face_ele = face_element->nodes(); + for (int inode = 0; inode < face_element->num_node(); ++inode) + id_nodes_face_ele.push_back(nodes_face_ele[inode]->id()); + + std::vector nodes_interface_locations; + nodes_interface_locations.reserve(Interface::n_nodes_); + + for (int node : id_nodes_face_ele) + { + auto it = interface_solid_index.find(node); + if (it != interface_solid_index.end()) + { + nodes_interface_locations.push_back(it->second); + } + } + + // Build helper stiffness matrices + Core::LinAlg::Matrix + d_pk1_parent_disp_interface(Core::LinAlg::Initialization::zero); + + for (unsigned int i_parent_node = 0; i_parent_node < ParentInterface::n_nodes_; i_parent_node++) + for (unsigned int i_dir = 0; i_dir < 3; i_dir++) + { + auto [d_pk1_i_interface, _] = evaluate_variation_first_pk_at_node_dir( + i_parent_node, i_dir, quantities_at_xi_parent, parent_element1_kinem_); + + Core::LinAlg::Matrix<3, 1> traction_d_pk1_i_interface(Core::LinAlg::Initialization::zero); + traction_d_pk1_i_interface.multiply(d_pk1_i_interface, unit_normal_interface); + + for (unsigned int j_interface_node = 0; j_interface_node < Interface::n_nodes_; + j_interface_node++) + { + for (unsigned int j_dir = 0; j_dir < 3; j_dir++) + { + d_pk1_parent_disp_interface(i_parent_node * 3 + i_dir, + nodes_interface_locations[j_interface_node] * 3 + j_dir) -= + traction_d_pk1_i_interface(j_dir) * N_interface(j_interface_node) * + nitsche_average_weight_param * weight * determinant_interface; + } + } + } + local_stiffness_nitsche_parent.update(1.0, d_pk1_parent_disp_interface, 1.0); + local_stiffness_nitsche_parent.update_t(1.0, d_pk1_parent_disp_interface, 1.0); + + + for (unsigned int i_parent_node = 0; i_parent_node < ParentInterface::n_nodes_; i_parent_node++) + for (unsigned int i_dir = 0; i_dir < 3; i_dir++) + { + auto [_, lin_dependencies_i_interface] = evaluate_variation_first_pk_at_node_dir( + i_parent_node, i_dir, quantities_at_xi_parent, parent_element1_kinem_); + + for (unsigned int j_parent_node = 0; j_parent_node < ParentInterface::n_nodes_; + j_parent_node++) + { + for (unsigned int j_dir = 0; j_dir < 3; j_dir++) + { + auto [_, lin_dependencies_j_interface] = evaluate_variation_first_pk_at_node_dir( + j_parent_node, j_dir, quantities_at_xi_parent, parent_element1_kinem_); + + auto lin_d_pk1 = evaluate_lin_variation_first_pk(lin_dependencies_i_interface, + lin_dependencies_j_interface, quantities_at_xi_parent); + Core::LinAlg::Matrix<3, 1> traction_lin_var_pk1(Core::LinAlg::Initialization::zero); + traction_lin_var_pk1.multiply(lin_d_pk1, unit_normal_interface); + + local_stiffness_nitsche_parent(i_parent_node * 3 + i_dir, j_parent_node * 3 + j_dir) -= + (traction_lin_var_pk1(0) * gap_at_xi(0) + traction_lin_var_pk1(1) * gap_at_xi(1) + + traction_lin_var_pk1(2) * gap_at_xi(2)) * + nitsche_average_weight_param * weight * determinant_interface; + } + } + } + + + for (unsigned int i_parent_node = 0; i_parent_node < ParentInterface::n_nodes_; i_parent_node++) + for (unsigned int i_dir = 0; i_dir < 3; i_dir++) + { + auto [d_pk1_i_parent, _] = evaluate_variation_first_pk_at_node_dir( + i_parent_node, i_dir, quantities_at_xi_parent, parent_element1_kinem_); + + Core::LinAlg::Matrix<3, 1> traction_d_pk1_i_parent(Core::LinAlg::Initialization::zero); + traction_d_pk1_i_parent.multiply(d_pk1_i_parent, unit_normal_interface); + + for (unsigned int j_background_node = 0; j_background_node < Background::n_nodes_; + j_background_node++) + for (unsigned int j_dir = 0; j_dir < 3; j_dir++) + { + local_stiffness_nitsche_parent_background( + i_parent_node * 3 + i_dir, j_background_node * 3 + j_dir) += + traction_d_pk1_i_parent(j_dir) * N_background(j_background_node) * + nitsche_average_weight_param * weight * determinant_interface; + } + } + + for (unsigned int i_interface_node = 0; i_interface_node < Interface::n_nodes_; + i_interface_node++) + for (unsigned int j_background_node = 0; j_background_node < Background::n_nodes_; + j_background_node++) + for (unsigned int j_dir = 0; j_dir < 3; j_dir++) + { + auto [d_pk1_j_background, _] = evaluate_variation_first_pk_at_node_dir( + j_background_node, j_dir, quantities_at_xi_background, element2_kinem_); + Core::LinAlg::Matrix<3, 1> traction_d_pk1_j_background( + Core::LinAlg::Initialization::zero); + traction_d_pk1_j_background.multiply(d_pk1_j_background, unit_normal_interface); + + for (unsigned int i_dir = 0; i_dir < 3; i_dir++) + { + local_stiffness_nitsche_parent_background( + nodes_interface_locations[i_interface_node] * 3 + i_dir, + j_background_node * 3 + j_dir) -= + N_interface(i_interface_node) * traction_d_pk1_j_background(i_dir) * + (1.0 - nitsche_average_weight_param) * weight * determinant_interface; + } + } + + // Terms in \delta \Pi_{Nitsche}^{background} , displacement_{background} + Core::LinAlg::Matrix + d_pk1_background_disp_background(Core::LinAlg::Initialization::zero); + + for (unsigned int i_background_node = 0; i_background_node < Background::n_nodes_; + i_background_node++) + for (unsigned int i_dir = 0; i_dir < 3; i_dir++) + { + auto [d_pk1_i_background, lin_dependencies_i_background] = + evaluate_variation_first_pk_at_node_dir( + i_background_node, i_dir, quantities_at_xi_background, element2_kinem_); + + Core::LinAlg::Matrix<3, 1> traction_i_background(Core::LinAlg::Initialization::zero); + traction_i_background.multiply(d_pk1_i_background, unit_normal_interface); + + for (unsigned int j_background_node = 0; j_background_node < Background::n_nodes_; + j_background_node++) + { + for (unsigned int j_dir = 0; j_dir < 3; j_dir++) + { + d_pk1_background_disp_background( + i_background_node * 3 + i_dir, j_background_node * 3 + j_dir) += + traction_i_background(j_dir) * N_background(j_background_node) * + (1.0 - nitsche_average_weight_param) * weight * determinant_interface; + } + } + } + local_stiffness_nitsche_background.update(1.0, d_pk1_background_disp_background, 1.0); + local_stiffness_nitsche_background.update_t(1.0, d_pk1_background_disp_background, 1.0); + + for (unsigned int i_background_node = 0; i_background_node < Background::n_nodes_; + i_background_node++) + for (unsigned int i_dir = 0; i_dir < 3; i_dir++) + { + auto [_, lin_dependencies_i_background] = evaluate_variation_first_pk_at_node_dir( + i_background_node, i_dir, quantities_at_xi_background, element2_kinem_); + + for (unsigned int j_background_node = 0; j_background_node < Background::n_nodes_; + j_background_node++) + { + for (unsigned int j_dir = 0; j_dir < 3; j_dir++) + { + auto [_, lin_dependencies_j_background] = evaluate_variation_first_pk_at_node_dir( + j_background_node, j_dir, quantities_at_xi_background, element2_kinem_); + + auto lin_d_pk1 = evaluate_lin_variation_first_pk(lin_dependencies_i_background, + lin_dependencies_j_background, quantities_at_xi_background); + Core::LinAlg::Matrix<3, 1> traction_lin_d_pk1(Core::LinAlg::Initialization::zero); + traction_lin_d_pk1.multiply(lin_d_pk1, unit_normal_interface); + + local_stiffness_nitsche_background( + i_background_node * 3 + i_dir, j_background_node * 3 + j_dir) -= + (traction_lin_d_pk1(0) * gap_at_xi(0) + traction_lin_d_pk1(1) * gap_at_xi(1) + + traction_lin_d_pk1(2) * gap_at_xi(2)) * + (1.0 - nitsche_average_weight_param) * weight * determinant_interface; + } + } + } + + + // Obtain the contributions to the local constraint + for (unsigned int i_parent_node = 0; i_parent_node < ParentInterface::n_nodes_; i_parent_node++) + for (unsigned int i_dir = 0; i_dir < 3; i_dir++) + { + auto [d_pk1_i_parent, _] = evaluate_variation_first_pk_at_node_dir( + i_parent_node, i_dir, quantities_at_xi_parent, parent_element1_kinem_); + + Core::LinAlg::Matrix<3, 1> d_traction_i_parent(Core::LinAlg::Initialization::zero); + d_traction_i_parent.multiply(d_pk1_i_parent, unit_normal_interface); + + local_constraint_nitsche(i_parent_node * 3 + i_dir) -= + (d_traction_i_parent(0) * gap_at_xi(0) + d_traction_i_parent(1) * gap_at_xi(1) + + d_traction_i_parent(2) * gap_at_xi(2)) * + nitsche_average_weight_param * weight * determinant_interface; + } + + for (unsigned int i_background_node = 0; i_background_node < Background::n_nodes_; + i_background_node++) + for (unsigned int i_dir = 0; i_dir < 3; i_dir++) + { + auto [d_pk1_i_background, _] = evaluate_variation_first_pk_at_node_dir( + i_background_node, i_dir, quantities_at_xi_background, element2_kinem_); + + Core::LinAlg::Matrix<3, 1> d_traction_i_background(Core::LinAlg::Initialization::zero); + d_traction_i_background.multiply(d_pk1_i_background, unit_normal_interface); + + local_constraint_nitsche(ParentInterface::n_dof_ + i_background_node * 3 + i_dir) -= + (d_traction_i_background(0) * gap_at_xi(0) + d_traction_i_background(1) * gap_at_xi(1) + + d_traction_i_background(2) * gap_at_xi(2)) * + (1.0 - nitsche_average_weight_param) * weight * determinant_interface; + } + + for (unsigned int i_interface_node = 0; i_interface_node < Interface::n_nodes_; + i_interface_node++) + for (unsigned int i_dir = 0; i_dir < 3; i_dir++) + { + local_constraint_nitsche(nodes_interface_locations[i_interface_node] * 3 + i_dir) -= + traction_pk1_weighted(i_dir) * N_interface(i_interface_node) * weight * + determinant_interface; + } + + for (unsigned int i_background_node = 0; i_background_node < Background::n_nodes_; + i_background_node++) + for (unsigned int i_dir = 0; i_dir < 3; i_dir++) + { + local_constraint_nitsche(ParentInterface::n_dof_ + i_background_node * 3 + i_dir) += + traction_pk1_weighted(i_dir) * N_background(i_background_node) * weight * + determinant_interface; + } + } +} + +template +void Constraints::EmbeddedMesh::SurfaceToBackgroundCouplingPairNitsche::evaluate_penalty_contributions_nitsche(Core::LinAlg::Matrix& + local_stiffness_penalty_interface, + Core::LinAlg::Matrix& + local_stiffness_penalty_background, + Core::LinAlg::Matrix& + local_stiffness_penalty_interface_background, + Core::LinAlg::Matrix& local_constraint) +{ + // Initialize the local penalty matrices. + local_stiffness_penalty_interface.put_scalar(0.0); + local_stiffness_penalty_background.put_scalar(0.0); + local_stiffness_penalty_interface_background.put_scalar(0.0); + local_constraint.put_scalar(0.0); + + // Initialize variables for shape function values. + Core::LinAlg::Matrix<1, Interface::n_nodes_ * Interface::n_val_, double> N_interface( + Core::LinAlg::Initialization::zero); + Core::LinAlg::Matrix<1, Background::n_nodes_ * Background::n_val_, double> N_background( + Core::LinAlg::Initialization::zero); + + // Calculate the penalty matrices. + // Gauss point loop + for (size_t it_gp = 0; it_gp < interface_integration_points_.size(); it_gp++) + { + auto& [xi_interface, xi_background, weight] = interface_integration_points_[it_gp]; + + double determinant_interface = Constraints::EmbeddedMesh::get_determinant_interface_element( + xi_interface, this->element_1()); + + // Get the shape function matrices + N_interface.clear(); + N_background.clear(); + + GeometryPair::EvaluateShapeFunction::evaluate( + N_interface, xi_interface, ele1pos_.shape_function_data_); + GeometryPair::EvaluateShapeFunction::evaluate( + N_background, xi_background, ele2pos_.shape_function_data_); + + // Fill in the local penalty matrix K_penalty_interface. + for (unsigned int i_interface_node = 0; i_interface_node < Interface::n_nodes_; + i_interface_node++) + for (unsigned int i_interface_val = 0; i_interface_val < Interface::n_val_; i_interface_val++) + for (unsigned int j_interface_node = 0; j_interface_node < Interface::n_nodes_; + j_interface_node++) + for (unsigned int j_interface_val = 0; j_interface_val < Interface::n_val_; + j_interface_val++) + for (unsigned int i_dim = 0; i_dim < 3; i_dim++) + local_stiffness_penalty_interface( + i_interface_node * Interface::n_val_ * 3 + i_interface_val * 3 + i_dim, + j_interface_node * Interface::n_val_ * 3 + j_interface_val * 3 + i_dim) += + N_interface(i_interface_node * Interface::n_val_ + i_interface_val) * + N_interface(j_interface_node * Interface::n_val_ + j_interface_val) * weight * + determinant_interface; + + // Fill in the local penalty matrix K_penalty_background. + for (unsigned int i_solid_node = 0; i_solid_node < Background::n_nodes_; i_solid_node++) + for (unsigned int i_solid_val = 0; i_solid_val < Background::n_val_; i_solid_val++) + for (unsigned int j_solid_node = 0; j_solid_node < Background::n_nodes_; j_solid_node++) + for (unsigned int j_solid_val = 0; j_solid_val < Background::n_val_; j_solid_val++) + for (unsigned int i_dim = 0; i_dim < 3; i_dim++) + local_stiffness_penalty_background( + i_solid_node * Background::n_val_ * 3 + i_solid_val * 3 + i_dim, + j_solid_node * Background::n_val_ * 3 + j_solid_val * 3 + i_dim) += + N_background(i_solid_node * Background::n_val_ + i_solid_val) * + N_background(j_solid_node * Background::n_val_ + j_solid_val) * weight * + determinant_interface; + + // Fill in the local penalty matrix K_penalty_interface_background. + for (unsigned int i_interface_node = 0; i_interface_node < Interface::n_nodes_; + i_interface_node++) + for (unsigned int i_interface_val = 0; i_interface_val < Interface::n_val_; i_interface_val++) + for (unsigned int i_solid_node = 0; i_solid_node < Background::n_nodes_; i_solid_node++) + for (unsigned int i_solid_val = 0; i_solid_val < Background::n_val_; i_solid_val++) + for (unsigned int i_dim = 0; i_dim < 3; i_dim++) + local_stiffness_penalty_interface_background( + i_interface_node * Interface::n_val_ * 3 + i_interface_val * 3 + i_dim, + i_solid_node * Background::n_val_ * 3 + i_solid_val * 3 + i_dim) += + N_interface(i_interface_node * Interface::n_val_ + i_interface_val) * + N_background(i_solid_node * Background::n_val_ + i_solid_val) * weight * + determinant_interface; + } + + // Add the local constraint contributions. + for (unsigned int i_interface = 0; i_interface < Interface::n_dof_; i_interface++) + { + for (unsigned int j_interface = 0; j_interface < Interface::n_dof_; j_interface++) + local_constraint(i_interface) += local_stiffness_penalty_interface(i_interface, j_interface) * + this->ele1dis_.element_position_(j_interface); + for (unsigned int i_background = 0; i_background < Background::n_dof_; i_background++) + local_constraint(i_interface) -= + local_stiffness_penalty_interface_background(i_interface, i_background) * + this->ele2dis_.element_position_(i_background); + } + + for (unsigned int i_background = 0; i_background < Background::n_dof_; i_background++) + { + for (unsigned int j_background = 0; j_background < Background::n_dof_; j_background++) + local_constraint(Interface::n_dof_ + i_background) += + local_stiffness_penalty_background(i_background, j_background) * + this->ele2dis_.element_position_(j_background); + for (unsigned int i_interface = 0; i_interface < Interface::n_dof_; i_interface++) + local_constraint(Interface::n_dof_ + i_background) -= + local_stiffness_penalty_interface_background(i_interface, i_background) * + this->ele1dis_.element_position_(i_interface); + } +} + +/** + * Explicit template initialization of template class. + */ +namespace Constraints::EmbeddedMesh +{ + using namespace GeometryPair; + + template class SurfaceToBackgroundCouplingPairNitsche; + template class SurfaceToBackgroundCouplingPairNitsche; + template class SurfaceToBackgroundCouplingPairNitsche; + template class SurfaceToBackgroundCouplingPairNitsche; + template class SurfaceToBackgroundCouplingPairNitsche; + +} // namespace Constraints::EmbeddedMesh + +FOUR_C_NAMESPACE_CLOSE diff --git a/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_nitsche.hpp b/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_nitsche.hpp new file mode 100644 index 00000000000..98bc2c6c53a --- /dev/null +++ b/src/constraint_framework/4C_constraint_framework_embeddedmesh_interaction_pair_nitsche.hpp @@ -0,0 +1,190 @@ +// This file is part of 4C multiphysics licensed under the +// GNU Lesser General Public License v3.0 or later. +// +// See the LICENSE.md file in the top-level for license information. +// +// SPDX-License-Identifier: LGPL-3.0-or-later + +#ifndef FOUR_C_CONSTRAINT_FRAMEWORK_EMBEDDEDMESH_INTERACTION_PAIR_NITSCHE_HPP +#define FOUR_C_CONSTRAINT_FRAMEWORK_EMBEDDEDMESH_INTERACTION_PAIR_NITSCHE_HPP + +#include "4C_config.hpp" + +#include "4C_constraint_framework_embeddedmesh_interaction_pair.hpp" +#include "4C_fem_general_utils_gausspoints.hpp" +#include "4C_geometry_pair_element.hpp" +#include "4C_geometry_pair_element_evaluation_functions.hpp" +#include "4C_linalg_fixedsizematrix.hpp" + +FOUR_C_NAMESPACE_OPEN + +namespace Constraints::EmbeddedMesh +{ + class SolidToSolidNitscheManager; + class SolidToSolidNitscheManager; + + template + class SurfaceToBackgroundCouplingPairNitsche : public SolidInteractionPair + { + public: + /** + * \brief Standard Constructor + */ + SurfaceToBackgroundCouplingPairNitsche(std::shared_ptr element1, + Core::Elements::Element* element2, + Constraints::EmbeddedMesh::EmbeddedMeshParams& params_ptr, + std::shared_ptr& cutwizard_ptr, + std::vector>& boundary_cells); + + /** + * \brief Destructor. + */ + ~SurfaceToBackgroundCouplingPairNitsche() override {}; + + + //! @name Evaluation methods + /** + * \brief Evaluate the global matrices and vectors resulting from Nitsche coupling. + * @param discret (in) Discretization, used to get the interface GIDs. + * @param nitsche_manager (in) Nitsche manager, used to get the Lagrange multiplier GIDs. + * @param global_g_bl (in/out) Constraint equations derived w.r.t the interface DOFs. + * @param global_g_bg (in/out) Constraint equations derived w.r.t the background DOFs. + * @param global_fbl_l (in/out) Interface force vector derived w.r.t the Lagrange multipliers. + * @param global_fbg_l (in/out) Background force vector derived w.r.t the Lagrange multipliers. + * @param global_constraint (in/out) Global constraint vector. + * @param global_kappa (in/out) Global scaling matrix. + * @param global_lambda_active (in/out) Global vector with active Lagrange multipliers. + */ + void evaluate_and_assemble_mortar_contributions(const Core::FE::Discretization& discret, + const Constraints::EmbeddedMesh::SolidToSolidMortarManager* mortar_manager, + Core::LinAlg::SparseMatrix& global_g_bl, Core::LinAlg::SparseMatrix& global_g_bg, + Core::LinAlg::SparseMatrix& global_fbl_l, Core::LinAlg::SparseMatrix& global_fbg_l, + Core::LinAlg::FEVector& global_constraint, + Core::LinAlg::FEVector& global_kappa, + Core::LinAlg::FEVector& global_lambda_active) override + { + FOUR_C_THROW("The evaluation of Mortar contributions cannot be called from a Nitsche pair."); + } + + void evaluate_and_assemble_nitsche_contributions(const Core::FE::Discretization& discret, + const Constraints::EmbeddedMesh::SolidToSolidNitscheManager* nitsche_manager, + Core::LinAlg::SparseMatrix& global_penalty_boundarylayer, + Core::LinAlg::SparseMatrix& global_penalty_background, + Core::LinAlg::SparseMatrix& global_penalty_boundarylayer_background, + Core::LinAlg::SparseMatrix& global_nitsche_interface, + Core::LinAlg::SparseMatrix& global_nitsche_background, + Core::LinAlg::SparseMatrix& global_nitsche_interface_background, + Core::LinAlg::FEVector& global_penalty_constraint, + Core::LinAlg::FEVector& global_nitsche_constraint, + double& nitsche_average_weight_param) override; + + /** + * \brief Set the Gauss rule over the interface for element1_ and element2_. + */ + void set_gauss_rule_for_interface_and_background(); + + /** + * \brief Update the current displacement of the interface and background elements + */ + void set_current_element_position(Core::FE::Discretization const& discret, + const Core::LinAlg::Vector& displacement_vector) override; + + private: + /** + * \brief Evaluate the local penalty contributions of the Nitsche method for this coupling + * element pair. + */ + void evaluate_penalty_contributions_nitsche( + Core::LinAlg::Matrix& + local_stiffness_penalty_interface, + Core::LinAlg::Matrix& + local_stiffness_penalty_background, + Core::LinAlg::Matrix& + local_stiffness_penalty_interface_background, + Core::LinAlg::Matrix& local_constraint); + + void evaluate_stress_contributions_nitsche(const Core::FE::Discretization& discret, + Core::LinAlg::Matrix& + local_stiffness_nitsche_parent, + Core::LinAlg::Matrix& + local_stiffness_nitsche_background, + Core::LinAlg::Matrix& + local_stiffness_nitsche_parent_background, + Core::LinAlg::Matrix& + local_constraint_nitsche, + double& nitsche_average_weight_param); + + //! @name Visualization methods + /*! + \brief Get the Gauss points of element2_ after cut for visualization. + */ + void get_projected_gauss_rule_in_cut_element( + Core::IO::VisualizationData& cut_element_integration_points_visualization_data) override + { + FOUR_C_THROW( + "This function is not implemented for the SurfaceToBackgroundCouplingPairNitsche."); + } + + /*! + \brief Get the Gauss points of element1_ and element2_ for the evaluation of mortar matrices. + */ + void get_projected_gauss_rule_on_interface( + Core::IO::VisualizationData& background_integration_points_visualization_data, + Core::IO::VisualizationData& interface_integration_points_visualization_data) override + { + FOUR_C_THROW( + "This function is not implemented for the SurfaceToBackgroundCouplingPairNitsche."); + } + + /*! + \brief Get the Lagrange multiplier field evaluated on the interface nodes for visualization. + */ + void get_pair_visualization( + Core::IO::VisualizationData& lagrange_multipliers_visualization_data, + std::shared_ptr> lambda, + const Constraints::EmbeddedMesh::SolidToSolidMortarManager* mortar_manager, + std::shared_ptr> interface_tracker) override + { + FOUR_C_THROW( + "This function is not implemented for the SurfaceToBackgroundCouplingPairNitsche."); + } + + //! Get parent element of first element + Core::Elements::Element& parent_element_1() const { return *parent_element1_; }; + + //! Kinematics of parent element + Inpar::Solid::KinemType parent_element1_kinem_; + + //! Kinematics of background element + Inpar::Solid::KinemType element2_kinem_; + + //! Pointer to the parent element of element_1() + Core::Elements::Element* parent_element1_ = nullptr; + + //! Initial nodal positions (and tangents) of the interface element. + GeometryPair::ElementData ele1pos_; + + //! Initial nodal positions (and tangents) of the parent element of the interface element. + GeometryPair::ElementData ele1parentpos_; + + //! Initial nodal positions (and tangents) of the background element. + GeometryPair::ElementData ele2pos_; + + //! Displacements of the interface element. + GeometryPair::ElementData ele1dis_; + + //! Displacements of the parent of the interface element. + GeometryPair::ElementData ele1parentdis_; + + //! Displacements of the background element. + GeometryPair::ElementData ele2dis_; + + //! integration rule over the interface for element1_ and element2_ + std::vector, Core::LinAlg::Matrix<3, 1>, double>> + interface_integration_points_; + }; +} // namespace Constraints::EmbeddedMesh + +FOUR_C_NAMESPACE_CLOSE + +#endif diff --git a/src/constraint_framework/4C_constraint_framework_embeddedmesh_params.hpp b/src/constraint_framework/4C_constraint_framework_embeddedmesh_params.hpp index f90222022a0..fac835e16f8 100644 --- a/src/constraint_framework/4C_constraint_framework_embeddedmesh_params.hpp +++ b/src/constraint_framework/4C_constraint_framework_embeddedmesh_params.hpp @@ -34,6 +34,18 @@ namespace Constraints::EmbeddedMesh //! Shape function for the mortar Lagrange-multiplicators SolidToSolidMortarShapefunctions mortar_shape_function_; + NitscheWeightingType nitsche_weighting_type_; + + //! Scalar factor for stabilization parameter in case the Nitsche weighting type is not + //! undefined + double nitsche_scalar_factor_for_stabilization_param_ = 0.0; + + //! Average weight gamma for coupling with the Nitsche method + double nitsche_average_weight_param_ = 0.0; + + //! Stabilization parameter for coupling with the Nitsche method + double nitsche_stabilization_param_ = 0.0; + //! Nodal Dof set strategy for XFEM Cut::NodalDofSetStrategy xfem_nodal_dof_set_strategy_ = Cut::NodalDofSetStrategy::NDS_Strategy_OneDofset_PerNodeAndPosition; diff --git a/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_mortar_manager.cpp b/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_mortar_manager.cpp index de8e90c5b6b..df288f6cfe9 100644 --- a/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_mortar_manager.cpp +++ b/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_mortar_manager.cpp @@ -168,7 +168,7 @@ void Constraints::EmbeddedMesh::SolidToSolidMortarManager::setup( } } - // Create the maps for boundary layer and background DOFs.. + // Create the maps for interface and background DOFs. set_global_maps(); // Create the global coupling matrices. @@ -206,7 +206,7 @@ void Constraints::EmbeddedMesh::SolidToSolidMortarManager::set_global_maps() discret_->dof(node, boundary_layer_interface_dofs); } - // Create the beam and solid maps. + // Create the interface and solid maps. boundary_layer_interface_dof_rowmap_ = std::make_shared(-1, boundary_layer_interface_dofs.size(), boundary_layer_interface_dofs.data(), 0, discret_->get_comm()); diff --git a/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_nitsche_manager.cpp b/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_nitsche_manager.cpp new file mode 100644 index 00000000000..f28bf30a5bb --- /dev/null +++ b/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_nitsche_manager.cpp @@ -0,0 +1,379 @@ +// This file is part of 4C multiphysics licensed under the +// GNU Lesser General Public License v3.0 or later. +// +// See the LICENSE.md file in the top-level for license information. +// +// SPDX-License-Identifier: LGPL-3.0-or-later + +#include "4C_constraint_framework_embeddedmesh_solid_to_solid_nitsche_manager.hpp" + +#include "4C_constraint_framework_embeddedmesh_interaction_pair.hpp" +#include "4C_constraint_framework_embeddedmesh_params.hpp" +#include "4C_constraint_framework_embeddedmesh_solid_to_solid_utils.hpp" +#include "4C_cut_cutwizard.hpp" +#include "4C_io_visualization_manager.hpp" +#include "4C_linalg_fevector.hpp" +#include "4C_linalg_tensor.hpp" +#include "4C_linalg_utils_sparse_algebra_manipulation.hpp" +#include "4C_linalg_utils_sparse_algebra_math.hpp" +#include "4C_linalg_vector.hpp" +#include "4C_structure_new_timint_basedataglobalstate.hpp" + +FOUR_C_NAMESPACE_OPEN + +/** + * + */ +Constraints::EmbeddedMesh::SolidToSolidNitscheManager::SolidToSolidNitscheManager( + std::shared_ptr& discret, + const Core::LinAlg::Vector& displacement_vector, + Constraints::EmbeddedMesh::EmbeddedMeshParams& embedded_mesh_coupling_params, + std::shared_ptr visualization_manager) + : discret_(discret), + embedded_mesh_coupling_params_(embedded_mesh_coupling_params), + visualization_manager_(visualization_manager) +{ + // Initialize cutwizard instance and perform the cut + std::shared_ptr cutwizard = std::make_shared(discret_); + Constraints::EmbeddedMesh::prepare_and_perform_cut( + cutwizard, discret_, embedded_mesh_coupling_params_); + + // Obtain the information of the background and its related interface elements + std::vector info_background_interface_elements = + get_information_background_and_interface_elements( + *cutwizard, *discret_, ids_cut_elements_col_, cut_elements_col_vector_); + + // std::cout << "info_background_interface_elements " << std::endl; + // for (int i = 0; i < info_background_interface_elements.size(); i++) + // { + // std::cout << i << " --- background element " << + // info_background_interface_elements[i].background_element_ptr->id() << std::endl; std::cout << + // "interface_element_global_ids : "; std::set::iterator itr; for (itr = + // info_background_interface_elements[i].interface_element_global_ids.begin(); itr != + // info_background_interface_elements[i].interface_element_global_ids.end(); itr++) + // std::cout << *itr << ", "; + // std::cout << std::endl; + // } + + // Get the coupling pairs and cut elements + get_coupling_pairs_and_background_elements(info_background_interface_elements, cutwizard, + embedded_mesh_coupling_params_, *discret_, embedded_mesh_solid_pairs_); + + // Change integration rule of elements if they are cut + Constraints::EmbeddedMesh::change_gauss_rule_of_cut_elements( + cut_elements_col_vector_, *cutwizard); + + // Get the indices of the DOFs related to the parent elements of the interface + std::vector parent_dofs_temp = Constraints::EmbeddedMesh::get_node_ids_parent_elements( + info_background_interface_elements, *discret_); + parent_node_ids_.reserve(parent_dofs_temp.size()); + parent_node_ids_.insert(parent_node_ids_.end(), parent_dofs_temp.begin(), parent_dofs_temp.end()); + + // std::cout << "parent node ids "<< std::endl; + // for (int i = 0; i < parent_node_ids_.size(); i++) + // std::cout << parent_node_ids_[i] << std::endl; + + // Generate visualization manager information + visualization_manager_->register_visualization_data("background_integration_points"); + visualization_manager_->register_visualization_data("interface_integration_points"); + visualization_manager_->register_visualization_data("cut_element_integration_points"); + + auto& background_integration_points_visualization_data = + visualization_manager_->get_visualization_data("background_integration_points"); + background_integration_points_visualization_data.register_point_data("weights", 1); + background_integration_points_visualization_data.register_point_data("interface_id", 1); + background_integration_points_visualization_data.register_point_data("background_id", 1); + background_integration_points_visualization_data.register_point_data("boundary_cell_id", 1); + + auto& interface_integration_points_visualization_data = + visualization_manager_->get_visualization_data("interface_integration_points"); + interface_integration_points_visualization_data.register_point_data("weights", 1); + interface_integration_points_visualization_data.register_point_data("interface_id", 1); + interface_integration_points_visualization_data.register_point_data("background_id", 1); + interface_integration_points_visualization_data.register_point_data("boundary_cell_id", 1); + + auto& cut_element_integration_points_visualization_data = + visualization_manager_->get_visualization_data("cut_element_integration_points"); + cut_element_integration_points_visualization_data.register_point_data("weights", 1); + cut_element_integration_points_visualization_data.register_point_data( + "integration_cell_id", 1); + + // Setup the solid to solid Nitsche manager + Core::LinAlg::Vector disp_col_vec(*discret_->dof_col_map()); + Core::LinAlg::export_to(displacement_vector, disp_col_vec); + setup(disp_col_vec); +} + +void Constraints::EmbeddedMesh::SolidToSolidNitscheManager::setup( + const Core::LinAlg::Vector& displacement_vector) +{ + // Get the global ids of all mesh nodes on this rank + std::vector my_interface_nodes_gid; + for (int i_node = 0; i_node < discret_->node_row_map()->num_my_elements(); i_node++) + { + Core::Nodes::Node const& node = *(discret_->l_row_node(i_node)); + if (Constraints::EmbeddedMesh::is_interface_node(*discret_, node)) + my_interface_nodes_gid.push_back(node.id()); + } + + // Create the maps for interface and background DOFs. + set_global_maps(); + + // Create the global coupling matrices related to the penalty contributions. + global_penalty_interface_ = std::make_shared( + *interface_dof_rowmap_, 100, true, true, Core::LinAlg::SparseMatrix::FE_MATRIX); + global_penalty_background_ = std::make_shared( + *background_dof_rowmap_, 100, true, true, Core::LinAlg::SparseMatrix::FE_MATRIX); + global_penalty_interface_background_ = + std::make_shared(*interface_and_background_dof_rowmap_, 100, true, + true, Core::LinAlg::SparseMatrix::FE_MATRIX); + + // Create the global coupling matrices related to the Nitsche stress contributions. + global_nitsche_parent_ = std::make_shared( + *parent_dof_rowmap_, 100, true, true, Core::LinAlg::SparseMatrix::FE_MATRIX); + global_nitsche_background_ = std::make_shared( + *background_dof_rowmap_, 100, true, true, Core::LinAlg::SparseMatrix::FE_MATRIX); + global_nitsche_parent_background_ = std::make_shared( + *parent_and_background_dof_rowmap_, 100, true, true, Core::LinAlg::SparseMatrix::FE_MATRIX); + + // Create the global constraint contributions to the force. + global_penalty_constraint_ = + std::make_shared>(*interface_and_background_dof_rowmap_); + global_nitsche_constraint_ = + std::make_shared>(*parent_and_background_dof_rowmap_); + + // Set flag for successful setup. + is_setup_ = true; + + // Set current state + set_state(displacement_vector); +} + +void Constraints::EmbeddedMesh::SolidToSolidNitscheManager::set_state( + const Core::LinAlg::Vector& displacement_vector) +{ + for (auto couplig_pair_iter : embedded_mesh_solid_pairs_) + couplig_pair_iter->set_current_element_position(*discret_, displacement_vector); +} + +void Constraints::EmbeddedMesh::SolidToSolidNitscheManager::set_global_maps() +{ + // Get the dofs of the background and interface elements + std::vector interface_dofs; + std::vector parent_dofs; + std::vector background_dofs; + std::vector interface_and_background_dofs; + std::vector parent_and_background_dofs; + for (int i_node = 0; i_node < discret_->node_row_map()->num_my_elements(); i_node++) + { + const Core::Nodes::Node* node = discret_->l_row_node(i_node); + if (is_cut_node(*node)) + discret_->dof(node, background_dofs); + else if (Constraints::EmbeddedMesh::is_interface_node(*discret_, *node)) + discret_->dof(node, interface_dofs); + + // std::cout << "set global maps" << std::endl; + if (is_parent_node(*node)) + { + // std::cout << "is parent node " << node->id() << std::endl; + discret_->dof(node, parent_dofs); + // for (int i = 0; i < parent_dofs.size(); i++) + // std::cout << parent_dofs[i] << ", "; + // std::cout << std::endl; + } + } + // + // std::cout << "interface_dofs" << std::endl; + // for (int i = 0; i < interface_dofs.size(); i++) + // std::cout << interface_dofs[i] << ", "; + // std::cout << std::endl; + // + // std::cout << "parent_dofs" << std::endl; + // for (int i = 0; i < parent_dofs.size(); i++) + // std::cout << parent_dofs[i] << ", "; + // std::cout << std::endl; + // + // std::cout << "background_dofs" << std::endl; + // for (int i = 0; i < background_dofs.size(); i++) + // std::cout << background_dofs[i] << ", "; + // std::cout << std::endl; + + interface_and_background_dofs.reserve(interface_dofs.size() + background_dofs.size()); + interface_and_background_dofs.insert( + interface_and_background_dofs.end(), interface_dofs.begin(), interface_dofs.end()); + interface_and_background_dofs.insert( + interface_and_background_dofs.end(), background_dofs.begin(), background_dofs.end()); + + std::sort(interface_and_background_dofs.begin(), interface_and_background_dofs.end()); + + parent_and_background_dofs.reserve(parent_dofs.size() + background_dofs.size()); + parent_and_background_dofs.insert( + parent_and_background_dofs.end(), parent_dofs.begin(), parent_dofs.end()); + parent_and_background_dofs.insert( + parent_and_background_dofs.end(), background_dofs.begin(), background_dofs.end()); + + std::sort(parent_and_background_dofs.begin(), parent_and_background_dofs.end()); + + // std::cout << "parent dofs ids " << std::endl; + // for (int i = 0; i < parent_dofs.size(); i++) + // std::cout << parent_dofs[i] << std::endl; + + // Create the interface and solid maps. + interface_dof_rowmap_ = std::make_shared( + -1, interface_dofs.size(), interface_dofs.data(), 0, discret_->get_comm()); + parent_dof_rowmap_ = std::make_shared( + -1, parent_dofs.size(), parent_dofs.data(), 0, discret_->get_comm()); + background_dof_rowmap_ = std::make_shared( + -1, background_dofs.size(), background_dofs.data(), 0, discret_->get_comm()); + interface_and_background_dof_rowmap_ = + std::make_shared(-1, interface_and_background_dofs.size(), + interface_and_background_dofs.data(), 0, discret_->get_comm()); + parent_and_background_dof_rowmap_ = + std::make_shared(-1, parent_and_background_dofs.size(), + parent_and_background_dofs.data(), 0, discret_->get_comm()); + + // Set flags for global maps. + is_global_maps_build_ = true; +} + + +void Constraints::EmbeddedMesh::SolidToSolidNitscheManager::evaluate_global_coupling_contributions( + const Core::LinAlg::Vector& displacement_vector) +{ + check_setup(); + check_global_maps(); + + Core::LinAlg::Vector disp_col_vec(*discret_->dof_col_map()); + Core::LinAlg::export_to(displacement_vector, disp_col_vec); + set_state(disp_col_vec); + + // Reset the global data structures. + global_penalty_interface_->put_scalar(0.); + global_penalty_background_->put_scalar(0.); + global_penalty_interface_background_->put_scalar(0.); + + global_nitsche_parent_->put_scalar(0.); + global_nitsche_background_->put_scalar(0.); + global_nitsche_parent_background_->put_scalar(0.); + + global_penalty_constraint_->put_scalar(0.); + global_nitsche_constraint_->put_scalar(0.); + + for (auto& elepairptr : embedded_mesh_solid_pairs_) + { + elepairptr->evaluate_and_assemble_nitsche_contributions(*discret_, this, + *global_penalty_interface_, *global_penalty_background_, + *global_penalty_interface_background_, *global_nitsche_parent_, *global_nitsche_background_, + *global_nitsche_parent_background_, *global_penalty_constraint_, + *global_nitsche_constraint_, embedded_mesh_coupling_params_.nitsche_average_weight_param_); + } + + // Complete the global matrices. + global_penalty_interface_->complete(*interface_dof_rowmap_, *interface_dof_rowmap_); + global_penalty_background_->complete(*background_dof_rowmap_, *background_dof_rowmap_); + global_penalty_interface_background_->complete( + *interface_and_background_dof_rowmap_, *interface_and_background_dof_rowmap_); + + global_nitsche_parent_->complete(*parent_dof_rowmap_, *parent_dof_rowmap_); + global_nitsche_background_->complete(*background_dof_rowmap_, *background_dof_rowmap_); + global_nitsche_parent_background_->complete( + *parent_and_background_dof_rowmap_, *parent_and_background_dof_rowmap_); + + // Complete the global vector. + global_penalty_constraint_->complete(); + global_nitsche_constraint_->complete(); + + // Scale the global penalty contributions before assembling into the final Nitsche formulation + scale_penalty_contributions(); +} + +void Constraints::EmbeddedMesh::SolidToSolidNitscheManager::scale_penalty_contributions() const +{ + // Get the penalty parameter. + const double penalty_param = embedded_mesh_coupling_params_.nitsche_stabilization_param_; + + // Scale penalty contributions + global_penalty_interface_->scale(penalty_param); + global_penalty_background_->scale(penalty_param); + global_penalty_interface_background_->scale(-penalty_param); + + global_penalty_constraint_->scale(penalty_param); +} + +/** + * here is the assemble of the contributions + */ +void Constraints::EmbeddedMesh::SolidToSolidNitscheManager:: + add_global_force_stiffness_contributions(Solid::TimeInt::BaseDataGlobalState& data_state, + std::shared_ptr stiff, + std::shared_ptr> force) const +{ + check_setup(); + check_global_maps(); + + if (stiff != nullptr) + { + stiff->add(*global_penalty_interface_, false, 1.0, 1.0); + stiff->add(*global_penalty_background_, false, 1.0, 1.0); + stiff->add(*global_penalty_interface_background_, false, 1.0, 1.0); + stiff->add(*global_penalty_interface_background_, true, 1.0, 1.0); + + stiff->add(*global_nitsche_parent_, false, 1.0, 1.0); + stiff->add(*global_nitsche_background_, false, 1.0, 1.0); + stiff->add(*global_nitsche_parent_background_, false, 1.0, 1.0); + stiff->add(*global_nitsche_parent_background_, true, 1.0, 1.0); + } + + if (force != nullptr) + { + // Factor for right hand side (forces). 1 corresponds to forces being added to + // the right hand side, -1 to the left hand side. + const double rhs_factor = 1.0; + + // Collect force contributions in a global temp + Core::LinAlg::Vector global_penalty_temp(*discret_->dof_row_map()); + Core::LinAlg::export_to(*global_penalty_constraint_, global_penalty_temp); + + Core::LinAlg::Vector global_nitsche_temp(*discret_->dof_row_map()); + Core::LinAlg::export_to(*global_nitsche_constraint_, global_nitsche_temp); + + // Add force contributions to global vector. + force->update(rhs_factor, global_penalty_temp, 1.0); + force->update(rhs_factor, global_nitsche_temp, 1.0); + } +} + + +bool Constraints::EmbeddedMesh::SolidToSolidNitscheManager::is_cut_node( + Core::Nodes::Node const& node) +{ + bool is_cut_node = false; + + // Check if the node belongs to an element that is cut + for (int num_ele = 0; num_ele < node.num_element(); num_ele++) + { + bool is_node_in_cut_ele = + std::find(cut_elements_col_vector_.begin(), cut_elements_col_vector_.end(), + node.adjacent_elements()[num_ele].user_element()) != cut_elements_col_vector_.end(); + if (is_node_in_cut_ele) is_cut_node = true; + } + + return is_cut_node; +} + +bool Constraints::EmbeddedMesh::SolidToSolidNitscheManager::is_parent_node( + Core::Nodes::Node const& node) +{ + // Check if the id of this node is in the list of node ids. + int node_id = node.id(); + return std::find(parent_node_ids_.begin(), parent_node_ids_.end(), node_id) != + parent_node_ids_.end(); +} + +MPI_Comm Constraints::EmbeddedMesh::SolidToSolidNitscheManager::get_my_comm() +{ + return discret_->get_comm(); +} + + +FOUR_C_NAMESPACE_CLOSE diff --git a/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_nitsche_manager.hpp b/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_nitsche_manager.hpp new file mode 100644 index 00000000000..cc95f82f8fd --- /dev/null +++ b/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_nitsche_manager.hpp @@ -0,0 +1,206 @@ +// This file is part of 4C multiphysics licensed under the +// GNU Lesser General Public License v3.0 or later. +// +// See the LICENSE.md file in the top-level for license information. +// +// SPDX-License-Identifier: LGPL-3.0-or-later + +#ifndef FOUR_C_CONSTRAINT_FRAMEWORK_EMBEDDEDMESH_SOLID_TO_SOLID_NITSCHE_MANAGER_HPP +#define FOUR_C_CONSTRAINT_FRAMEWORK_EMBEDDEDMESH_SOLID_TO_SOLID_NITSCHE_MANAGER_HPP + +#include "4C_config.hpp" + +#include "4C_constraint_framework_embeddedmesh_params.hpp" +#include "4C_fem_discretization.hpp" +#include "4C_linalg_fevector.hpp" +#include "4C_utils_exceptions.hpp" + +#include + +// Forward declarations. +class Map; + +FOUR_C_NAMESPACE_OPEN + +namespace Core::LinAlg +{ + class SparseMatrix; + class FE_Vector; +} // namespace Core::LinAlg +namespace Core::IO +{ + class VisualizationManager; +} +namespace Solid +{ + namespace TimeInt + { + class BaseDataGlobalState; + } +} // namespace Solid + +namespace LinAlg +{ + class SparseMatrix; +} // namespace LinAlg + +namespace Constraints::EmbeddedMesh +{ + class SolidInteractionPair; + + class SolidToSolidNitscheManager + { + public: + /** + * \brief Standard Constructor + * + * @param discret (in) Pointer to the discretization. + * @param displacement_vector (in) global displacement vector. + */ + SolidToSolidNitscheManager(std::shared_ptr& discret, + const Core::LinAlg::Vector& displacement_vector, + Constraints::EmbeddedMesh::EmbeddedMeshParams& embedded_mesh_coupling_params, + std::shared_ptr visualization_manager); + + /** + * \brief This method builds the global maps for the global node / element IDs to the Lagrange + * multiplier DOFs. + * @param displacement_vector (in) global displacement vector. + */ + void setup(const Core::LinAlg::Vector& displacement_vector); + + /** + * \brief Evaluate Nitsche coupling contributions on all pairs and assemble them into the + * global matrices. + * @param displacement_vector (in) global displacement vector. + */ + void evaluate_global_coupling_contributions( + const Core::LinAlg::Vector& displacement_vector); + + /** + * + */ + void add_global_force_stiffness_contributions(Solid::TimeInt::BaseDataGlobalState& displacement, + std::shared_ptr stiff, + std::shared_ptr> force) const; + + /** + * \brief Sets the current position of the elements of the embedded mesh coupling pairs + */ + void set_state(const Core::LinAlg::Vector& displacement_vector); + + /** + * \brief Scale contributions from the Nitsche method with the penalty parameter and weighting + * average parameter + */ + void scale_penalty_contributions() const; + + /** + * \brief Get the communicator associated to the Nitsche manager + */ + MPI_Comm get_my_comm(); + + protected: + /** + * \brief Throw an error if setup was not called on the object prior to this function call. + */ + inline void check_setup() const + { + if (!is_setup_) FOUR_C_THROW("Setup not called on SolidToSolidNitscheManager!"); + } + + /** + * \brief Throw an error if the global maps were not build. + */ + inline void check_global_maps() const + { + if (!is_global_maps_build_) + FOUR_C_THROW("Global maps are not build in SolidToSolidNitscheManager!"); + } + + /** + * \brief Check if this node is in a cut element + */ + bool is_cut_node(Core::Nodes::Node const& node); + + /** + * \brief Check if this node is in a parent element + */ + bool is_parent_node(Core::Nodes::Node const& node); + + private: + /** + * \brief Calculate the maps for the solid interface and background dofs. The calculated + * maps are used to complete the Nitsche matrices. + */ + void set_global_maps(); + + //! Pointer to the discretization containing the solid and interface elements. + std::shared_ptr discret_; + + //! Flag if setup was called. + bool is_setup_ = false; + + //! Flag if global maps were build. + bool is_global_maps_build_; + + //! Embedded mesh parameters. + Constraints::EmbeddedMesh::EmbeddedMeshParams embedded_mesh_coupling_params_; + + //! Vector to background row elements that are cut + std::vector cut_elements_col_vector_; + + //! Id of background column elements that are cut + std::vector ids_cut_elements_col_; + + std::vector parent_node_ids_; + + //! Row map of the solid interface DOFs. + std::shared_ptr interface_dof_rowmap_; + + //! Row map of the solid parent element of the interface DOFs. + std::shared_ptr parent_dof_rowmap_; + + //! Row map of the solid background DOFs. + std::shared_ptr background_dof_rowmap_; + + //! Row map of both interface and solid background DOFs. + std::shared_ptr interface_and_background_dof_rowmap_; + + std::shared_ptr parent_and_background_dof_rowmap_; + + //! Global contributions of the penalty term associated with the interface DOFs + std::shared_ptr global_penalty_interface_ = nullptr; + + //! Global contributions of the penalty term associated with the background DOFs + std::shared_ptr global_penalty_background_ = nullptr; + + //! Global contributions of the penalty term associated with both interface and background DOFs + std::shared_ptr global_penalty_interface_background_ = nullptr; + + //! Global contributions of the Nitsche method associated with the parent of the interface DOFs + std::shared_ptr global_nitsche_parent_ = nullptr; + + //! Global contributions of the Nitsche method associated with the background DOFs + std::shared_ptr global_nitsche_background_ = nullptr; + + //! Global contributions of the Nitsche method associated with both the parent of the interface + //! and background DOFs + std::shared_ptr global_nitsche_parent_background_ = nullptr; + + //! Global penalty constraint vector. + std::shared_ptr> global_penalty_constraint_ = nullptr; + + //! Global Nitsche constraint vector. + std::shared_ptr> global_nitsche_constraint_ = nullptr; + + //! Vector with all contact pairs to be evaluated by this Nitsche manager. + std::vector> + embedded_mesh_solid_pairs_; + + std::shared_ptr visualization_manager_; + }; + +} // namespace Constraints::EmbeddedMesh +FOUR_C_NAMESPACE_CLOSE +#endif diff --git a/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_utils.cpp b/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_utils.cpp index 2ec902ba1cb..f6816fe46d9 100644 --- a/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_utils.cpp +++ b/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_utils.cpp @@ -8,6 +8,7 @@ #include "4C_constraint_framework_embeddedmesh_solid_to_solid_utils.hpp" #include "4C_constraint_framework_embeddedmesh_interaction_pair_mortar.hpp" +#include "4C_constraint_framework_embeddedmesh_interaction_pair_nitsche.hpp" #include "4C_constraint_framework_embeddedmesh_solid_to_solid_mortar_manager.hpp" #include "4C_constraint_framework_input.hpp" #include "4C_cut_boundarycell.hpp" @@ -101,7 +102,281 @@ void Constraints::EmbeddedMesh::prepare_and_perform_cut(std::shared_ptrcut(include_inner); } -// Helper function to create a coupling pair +template +void Constraints::EmbeddedMesh::map_from_parametric_to_physical_space( + GeometryPair::ElementData element_data, + Core::LinAlg::Matrix& point_param_space, + Core::LinAlg::Matrix nodal_values, + Core::LinAlg::Matrix& point_physical_space) +{ + // Evaluate the shape functions on the given point + Core::LinAlg::Matrix<1, Pointtype::n_nodes_ * Pointtype::n_val_, double> shape_fun( + Core::LinAlg::Initialization::zero); + + GeometryPair::EvaluateShapeFunction::evaluate( + shape_fun, point_param_space, element_data.shape_function_data_); + + // Map the point to the physical system by multiplying the shape + // functions with the element nodes + for (unsigned int node = 0; node < Pointtype::n_nodes_; node++) + for (unsigned int dim = 0; dim < Pointtype::spatial_dim_; dim++) + for (unsigned int val = 0; val < Pointtype::n_val_; val++) + point_physical_space(dim) += nodal_values(3 * Pointtype::n_val_ * node + 3 * val + dim) * + shape_fun(Pointtype::n_val_ * node + val); +} + +template +std::shared_ptr +Constraints::EmbeddedMesh::project_boundary_cell_gauss_rule_on_interface( + Cut::BoundaryCell* boundary_cell, GeometryPair::ElementData& ele1pos) +{ + // Get the coordinates of the vertices of the boundary cell + const Core::LinAlg::SerialDenseMatrix vertices_boundary_cell = boundary_cell->coordinates(); + const unsigned num_vertices = Core::FE::num_nodes(boundarycell_distype); + Core::LinAlg::Matrix<2, num_vertices> projected_vertices_xi; + + for (unsigned i_vertex = 0; i_vertex < num_vertices; i_vertex++) + { + Core::LinAlg::Matrix<3, 1> vertex_to_project; + Core::LinAlg::Matrix<3, 1> xi_interface; + + for (int i_dim = 0; i_dim < 3; i_dim++) + vertex_to_project(i_dim) = vertices_boundary_cell(i_dim, i_vertex); + + GeometryPair::ProjectionResult temp_projection_result; + GeometryPair::project_point_to_surface( + vertex_to_project, ele1pos, xi_interface, temp_projection_result); + + if (temp_projection_result == GeometryPair::ProjectionResult::projection_not_found) + FOUR_C_THROW("No projection was found. "); + else if (temp_projection_result == GeometryPair::ProjectionResult::projection_found_not_valid) + std::cout << "WARNING: a projection was found but it is not valid\n"; + + projected_vertices_xi(0, i_vertex) = xi_interface(0); + projected_vertices_xi(1, i_vertex) = xi_interface(1); + } + + // Check if the points are arranged in a counterclockwise. This is to avoid + // getting negative gauss points weights in CreateProjected(..). This is the case if: + // (y3 - y1)(x2 - x1) > (y2 - y1)(x3 - x1). If this is not the case, the points + // should be rearranged + if ((projected_vertices_xi(1, 2) - projected_vertices_xi(1, 0)) * + (projected_vertices_xi(0, 1) - projected_vertices_xi(0, 0)) < + (projected_vertices_xi(1, 1) - projected_vertices_xi(1, 0)) * + (projected_vertices_xi(0, 2) - projected_vertices_xi(0, 0))) + { + Core::LinAlg::Matrix<2, num_vertices> temp_xie; + + for (size_t i = 0; i < num_vertices; ++i) + { + temp_xie(0, i) = projected_vertices_xi(0, num_vertices - 1 - i); + temp_xie(1, i) = projected_vertices_xi(1, num_vertices - 1 - i); + } + + projected_vertices_xi = temp_xie; + } + + std::shared_ptr gp = + Core::FE::GaussIntegration::create_projected( + projected_vertices_xi, boundary_cell->get_cubature_degree()); + + // Check if the weights of the obtained Gauss Points are positive + for (int it_gp = 0; it_gp < gp->num_points(); it_gp++) + { + FOUR_C_ASSERT_ALWAYS( + gp->weight(it_gp) > 0.0, "The Gauss rule for this boundary cell has negative weights."); + } + + return gp; +} + + +// Helper function to obtain the information of a NURBS element, such as its knot and control points +void get_nurbs_information(const Core::Elements::Element& interface_element, + Core::LinAlg::Matrix<9, 1, double>& cp_weights, + std::vector& myknots, + std::vector& mypknots) +{ + const auto* face_element = dynamic_cast(&interface_element); + if (!face_element) FOUR_C_THROW("Cast to FaceElement failed!"); + + // Factor for surface orientation. + double normalfac = 1.0; + + // Get the knots and weights for this element. + const bool zero_size = Core::FE::Nurbs::get_knot_vector_and_weights_for_nurbs_boundary( + &interface_element, face_element->face_master_number(), face_element->parent_element_id(), + *(Global::Problem::instance()->get_dis("structure")), mypknots, myknots, cp_weights, + normalfac); + if (zero_size) + FOUR_C_THROW( + "get_knot_vector_and_weights_for_nurbs_boundary has to return a non " + "zero size."); +} + +template +double calculate_determinant_interface_element( + const Core::LinAlg::Matrix<2, 1>& eta, const Core::Elements::Element& interface_element) +{ + const int numnodes = Core::FE::num_nodes(celldistype); + Core::LinAlg::Matrix<3, numnodes> xyze; + + // Get the position of the nodes of the interface element + for (int i_dim = 0; i_dim < 3; ++i_dim) + { + for (int i_node = 0; i_node < numnodes; ++i_node) + xyze(i_dim, i_node) = (interface_element.nodes()[i_node])->x()[i_dim]; + } + + Core::LinAlg::Matrix funct; + Core::LinAlg::Matrix<2, numnodes> deriv; + + // Evaluate the shape functions and its derivatives on eta + if (celldistype == Core::FE::CellType::nurbs9) + { + Core::LinAlg::Matrix<9, 1, double> cp_weights(Core::LinAlg::Initialization::zero); + std::vector myknots(2); + std::vector mypknots(3); + + get_nurbs_information(interface_element, cp_weights, myknots, mypknots); + + Core::FE::Nurbs::nurbs_get_2d_funct_deriv(funct, deriv, eta, myknots, cp_weights, celldistype); + } + else + { + Core::FE::shape_function_2d(funct, eta(0), eta(1), celldistype); + Core::FE::shape_function_2d_deriv1(deriv, eta(0), eta(1), celldistype); + } + + // Calculate the metric tensor and obtain its determinant + Core::LinAlg::Matrix<2, 2> metrictensor; + Core::LinAlg::Matrix<2, 3> dxyzdrs; + dxyzdrs.multiply_nt(deriv, xyze); + metrictensor.multiply_nt(dxyzdrs, dxyzdrs); + double determinant = + std::sqrt(metrictensor(0, 0) * metrictensor(1, 1) - metrictensor(0, 1) * metrictensor(1, 0)); + + // std::cout << "determinant : " << determinant << std::endl; + + return determinant; +} + +double Constraints::EmbeddedMesh::get_determinant_interface_element( + Core::LinAlg::Matrix<2, 1> eta, const Core::Elements::Element& element) +{ + double determinant_interface; + + switch (element.shape()) + { + case Core::FE::CellType::nurbs9: + { + determinant_interface = + calculate_determinant_interface_element(eta, element); + break; + } + case Core::FE::CellType::quad4: + { + determinant_interface = + calculate_determinant_interface_element(eta, element); + break; + } + default: + FOUR_C_THROW( + "The evaluation of the determinant hasn't been implemented " + "for other type of " + "elements. "); + break; + } + + return determinant_interface; +} + +template +double calculate_determinant_interface_element_current_conf(const Core::LinAlg::Matrix<2, 1>& eta, + const Core::Elements::Element& interface_element, + const GeometryPair::ElementData& element_data_surface) +{ + const int numnodes = Core::FE::num_nodes(celldistype); + Core::LinAlg::Matrix<3, numnodes> xyze; + + // std::cout << "position of nodes : " << std::endl; + // Get the position of the nodes of the interface element + for (int node_ele1 = 0; node_ele1 < interface_element.num_point(); node_ele1++) + { + xyze(0, node_ele1) = element_data_surface.element_position_(0 + 3 * node_ele1); + xyze(1, node_ele1) = element_data_surface.element_position_(1 + 3 * node_ele1); + xyze(2, node_ele1) = element_data_surface.element_position_(2 + 3 * node_ele1); + + // std::cout << xyze(0, node_ele1) << ", " << xyze(1, node_ele1) << ", " << xyze(2, node_ele1) + // << std::endl; + } + + Core::LinAlg::Matrix funct; + Core::LinAlg::Matrix<2, numnodes> deriv; + + // Evaluate the shape functions and its derivatives on eta + if (celldistype == Core::FE::CellType::nurbs9) + { + Core::LinAlg::Matrix<9, 1, double> cp_weights(Core::LinAlg::Initialization::zero); + std::vector myknots(2); + std::vector mypknots(3); + + get_nurbs_information(interface_element, cp_weights, myknots, mypknots); + + Core::FE::Nurbs::nurbs_get_2d_funct_deriv(funct, deriv, eta, myknots, cp_weights, celldistype); + } + else + { + Core::FE::shape_function_2d(funct, eta(0), eta(1), celldistype); + Core::FE::shape_function_2d_deriv1(deriv, eta(0), eta(1), celldistype); + } + + // Calculate the metric tensor and obtain its determinant + Core::LinAlg::Matrix<2, 2> metrictensor; + Core::LinAlg::Matrix<2, 3> dxyzdrs; + dxyzdrs.multiply_nt(deriv, xyze); + metrictensor.multiply_nt(dxyzdrs, dxyzdrs); + double determinant = + std::sqrt(metrictensor(0, 0) * metrictensor(1, 1) - metrictensor(0, 1) * metrictensor(1, 0)); + + // std::cout << "determinant : " << determinant << std::endl; + return determinant; +} + +template +double Constraints::EmbeddedMesh::get_determinant_interface_element_current_conf( + Core::LinAlg::Matrix<2, 1> eta, const Core::Elements::Element& element, + const GeometryPair::ElementData& element_data_surface) +{ + double determinant_interface; + + switch (element.shape()) + { + case Core::FE::CellType::nurbs9: + { + determinant_interface = calculate_determinant_interface_element_current_conf(eta, element, element_data_surface); + break; + } + case Core::FE::CellType::quad4: + { + determinant_interface = calculate_determinant_interface_element_current_conf(eta, element, element_data_surface); + break; + } + default: + FOUR_C_THROW( + "The evaluation of the determinant hasn't been implemented " + "for other type of " + "elements. "); + break; + } + + return determinant_interface; +} + + +// Helper function to create a mortar coupling pair std::shared_ptr coupling_pair_mortar_factory( std::shared_ptr interfaceele_real, Core::Elements::Element* background_ele, @@ -162,6 +437,67 @@ std::shared_ptr coupling_pair_m } } +// Helper function to create a Nitsche coupling pair +std::shared_ptr coupling_pair_nitsche_factory( + std::shared_ptr interfaceele_real, + Core::Elements::Element* background_ele, + Constraints::EmbeddedMesh::EmbeddedMeshParams& params_ptr, + std::shared_ptr& cutwizard_ptr, + std::vector>& boundary_cells) +{ + switch (interfaceele_real->shape()) + { + case Core::FE::CellType::quad4: + { + switch (background_ele->shape()) + { + case Core::FE::CellType::hex8: + { + return std::make_shared>( + interfaceele_real, background_ele, params_ptr, cutwizard_ptr, boundary_cells); + break; + } + default: + FOUR_C_THROW( + "The interaction pairs with background element of type {} not yet implemented", + (Core::FE::cell_type_to_string(background_ele->shape())).c_str()); + break; + } + break; + } + case Core::FE::CellType::nurbs9: + { + switch (background_ele->shape()) + { + case Core::FE::CellType::hex8: + { + return std::make_shared>( + interfaceele_real, background_ele, params_ptr, cutwizard_ptr, boundary_cells); + break; + } + case Core::FE::CellType::wedge6: + { + return std::make_shared>( + interfaceele_real, background_ele, params_ptr, cutwizard_ptr, boundary_cells); + break; + } + default: + FOUR_C_THROW( + "The interaction pairs with background element of type {} not yet implemented", + (Core::FE::cell_type_to_string(background_ele->shape())).c_str()); + break; + } + break; + } + default: + FOUR_C_THROW("The interaction pairs with interface element of type {} not yet implemented", + (Core::FE::cell_type_to_string(background_ele->shape()))); + } +} + std::vector Constraints::EmbeddedMesh::get_information_background_and_interface_elements( Cut::CutWizard& cutwizard, Core::FE::Discretization& discret, @@ -253,6 +589,31 @@ Constraints::EmbeddedMesh::get_information_background_and_interface_elements( return information_coupling_pairs; } +std::shared_ptr generate_coupling_pair( + std::shared_ptr surface_ele, Core::Elements::Element* background_ele, + Constraints::EmbeddedMesh::EmbeddedMeshParams& params_ptr, + std::shared_ptr& cutwizard, + std::vector> coupling_pair_boundary_cells) +{ + switch (params_ptr.coupling_strategy_) + { + case Constraints::EmbeddedMesh::CouplingStrategy::mortar: + { + return coupling_pair_mortar_factory( + surface_ele, background_ele, params_ptr, cutwizard, coupling_pair_boundary_cells); + break; + } + case Constraints::EmbeddedMesh::CouplingStrategy::nitsche: + { + return coupling_pair_nitsche_factory( + surface_ele, background_ele, params_ptr, cutwizard, coupling_pair_boundary_cells); + break; + } + default: + FOUR_C_THROW("Unsupported interaction pair."); + } +} + void Constraints::EmbeddedMesh::get_coupling_pairs_and_background_elements( std::vector& info_background_interface_elements, std::shared_ptr& cutwizard, @@ -300,7 +661,7 @@ void Constraints::EmbeddedMesh::get_coupling_pairs_and_background_elements( if (coupling_pair_boundary_cells.size() != 0) { std::shared_ptr - embeddedmesh_coupling_pair = coupling_pair_mortar_factory( + embeddedmesh_coupling_pair = generate_coupling_pair( surface_ele, background_ele, params_ptr, cutwizard, coupling_pair_boundary_cells); // Add coupling pair to the vector of coupling pairs @@ -310,6 +671,41 @@ void Constraints::EmbeddedMesh::get_coupling_pairs_and_background_elements( } } +std::vector Constraints::EmbeddedMesh::get_node_ids_parent_elements( + std::vector& info_background_interface_elements, + Core::FE::Discretization& discret) +{ + // std::cout << "get_node_ids_parent_elements" << std::endl; + std::set parent_node_set; + + // Iterate over the information of the background elements and their corresponding interface + // elements + for (auto& background_interface_info : info_background_interface_elements) + { + std::vector parent_node_ids_temp; + for (auto iter_interface_ele : background_interface_info.interface_element_global_ids) + { + Core::Elements::Element* parent_element = discret.g_element(iter_interface_ele); + // std::cout << "parent element id " << parent_element->id() << std::endl; + + for (int i_node = 0; i_node < parent_element->num_node(); i_node++) + { + parent_node_ids_temp.push_back(parent_element->node_ids()[i_node]); + } + + // for (int i_node = 0; i_node < parent_node_ids_temp.size(); i_node++) + // { + // std::cout << parent_node_ids_temp[i_node] << ", "; + // } + // std::cout << std::endl; + + parent_node_set.insert(parent_node_ids_temp.begin(), parent_node_ids_temp.end()); + } + } + + return std::vector(parent_node_set.begin(), parent_node_set.end()); +} + void Constraints::EmbeddedMesh::change_gauss_rule_of_cut_elements( std::vector cut_elements_vector, Cut::CutWizard& cutwizard) { @@ -354,6 +750,11 @@ void Constraints::EmbeddedMesh::mortar_shape_functions_to_number_of_lagrange_val n_lambda_node = 1 * 3; return; } + case Constraints::EmbeddedMesh::SolidToSolidMortarShapefunctions::undefined: + { + FOUR_C_THROW("Undefined Mortar shape functions."); + return; + } default: FOUR_C_THROW("Mortar shape function not implemented!"); } @@ -397,6 +798,122 @@ void Constraints::EmbeddedMesh::get_mortar_gid( mortar_manager->location_vector(interaction_pair, *lambda_gid_pos); } +template +void Constraints::EmbeddedMesh::assemble_local_nitsche_contributions( + const Constraints::EmbeddedMesh::SolidInteractionPair* pair, + const Core::FE::Discretization& discret, Core::LinAlg::SparseMatrix& global_penalty_interface, + Core::LinAlg::SparseMatrix& global_penalty_background, + Core::LinAlg::SparseMatrix& global_penalty_interface_background, + Core::LinAlg::SparseMatrix& global_nitsche_parent, + Core::LinAlg::SparseMatrix& global_nitsche_background, + Core::LinAlg::SparseMatrix& global_nitsche_parent_background, + Core::LinAlg::FEVector& global_penalty_constraint, + Core::LinAlg::FEVector& global_nitsche_constraint, + const Core::LinAlg::Matrix& + local_stiffness_penalty_interface, + const Core::LinAlg::Matrix& + local_stiffness_penalty_background, + const Core::LinAlg::Matrix& + local_stiffness_penalty_interface_background, + const Core::LinAlg::Matrix& + local_stiffness_nitsche_parent, + const Core::LinAlg::Matrix& + local_stiffness_nitsche_background, + const Core::LinAlg::Matrix& + local_stiffness_nitsche_parent_background, + const Core::LinAlg::Matrix& + local_constraint_penalty, + const Core::LinAlg::Matrix& + local_constraint_nitsche) +{ + // Get the GIDs of the interface + std::vector interface_row; + std::vector dummy_1; + std::vector dummy_2; + + pair->element_1().location_vector(discret, interface_row, dummy_1, dummy_2); + + // Get the GIDs of the parent element of interface + std::vector parent_row; + dummy_1.clear(); + dummy_2.clear(); + + auto face_element = dynamic_cast(&pair->element_1()); + if (!face_element) FOUR_C_THROW("Cast to FaceElement failed!"); + auto parent_element = (face_element->parent_element()); + + parent_element->location_vector(discret, parent_row, dummy_1, dummy_2); + + // Get the GIDs of the background + std::vector background_row; + dummy_1.clear(); + dummy_2.clear(); + pair->element_2().location_vector(discret, background_row, dummy_1, dummy_2); + + // Merge GIDs from the interface and background + std::vector interface_background_row; + interface_background_row.reserve(interface_row.size() + background_row.size()); + std::merge(interface_row.begin(), interface_row.end(), background_row.begin(), + background_row.end(), std::back_inserter(interface_background_row)); + + // Merge GIDs from the parent and background + std::vector parent_background_row; + parent_background_row.reserve(parent_row.size() + background_row.size()); + std::merge(parent_row.begin(), parent_row.end(), background_row.begin(), background_row.end(), + std::back_inserter(parent_background_row)); + + // Assemble into the global matrices. All contributions here are assumed to be symmetric. + for (unsigned int i_interface = 0; i_interface < Interface::n_dof_; ++i_interface) + { + for (unsigned int j_interface = 0; j_interface < Interface::n_dof_; ++j_interface) + { + global_penalty_interface.fe_assemble( + local_stiffness_penalty_interface(i_interface, j_interface), interface_row[i_interface], + interface_row[j_interface]); + } + for (unsigned int i_background = 0; i_background < Background::n_dof_; ++i_background) + { + global_penalty_interface_background.fe_assemble( + local_stiffness_penalty_interface_background(i_interface, i_background), + interface_row[i_interface], background_row[i_background]); + } + } + + for (unsigned int i_parent = 0; i_parent < ParentInterface::n_dof_; ++i_parent) + { + for (unsigned int j_parent = 0; j_parent < ParentInterface::n_dof_; ++j_parent) + { + global_nitsche_parent.fe_assemble(local_stiffness_nitsche_parent(i_parent, j_parent), + parent_row[i_parent], parent_row[j_parent]); + } + for (unsigned int i_background = 0; i_background < Background::n_dof_; ++i_background) + { + global_nitsche_parent_background.fe_assemble( + local_stiffness_nitsche_parent_background(i_parent, i_background), parent_row[i_parent], + background_row[i_background]); + } + } + + for (unsigned int i_background = 0; i_background < Background::n_dof_; ++i_background) + { + for (unsigned int j_background = 0; j_background < Background::n_dof_; ++j_background) + { + global_penalty_background.fe_assemble( + local_stiffness_penalty_background(i_background, j_background), + background_row[i_background], background_row[j_background]); + global_nitsche_background.fe_assemble( + local_stiffness_nitsche_background(i_background, j_background), + background_row[i_background], background_row[j_background]); + } + } + + // Assemble into the global force. + global_penalty_constraint.sum_into_global_values(Interface::n_dof_ + Background::n_dof_, + interface_background_row.data(), local_constraint_penalty.data()); + global_nitsche_constraint.sum_into_global_values(ParentInterface::n_dof_ + Background::n_dof_, + parent_background_row.data(), local_constraint_nitsche.data()); +} + template void Constraints::EmbeddedMesh::assemble_local_mortar_contributions( const Constraints::EmbeddedMesh::SolidInteractionPair* pair, @@ -523,6 +1040,74 @@ namespace Constraints::EmbeddedMesh initialize_template_assemble_local_mortar_contributions(t_nurbs9, t_nurbs27, t_nurbs9); initialize_template_assemble_local_mortar_contributions(t_nurbs9, t_wedge6, t_nurbs9); +#define initialize_template_template_project_boundary_cell_gauss_rule_on_interface( \ + Surface, boundarycell_distype) \ + template std::shared_ptr \ + project_boundary_cell_gauss_rule_on_interface( \ + Cut::BoundaryCell * boundary_cell, \ + GeometryPair::ElementData & ele1pos); + + initialize_template_template_project_boundary_cell_gauss_rule_on_interface( + t_quad4, Core::FE::CellType::tri3); + initialize_template_template_project_boundary_cell_gauss_rule_on_interface( + t_nurbs9, Core::FE::CellType::tri3); + +#define initialize_template_map_from_parametric_to_physical_space(Pointtype) \ + template void map_from_parametric_to_physical_space( \ + GeometryPair::ElementData element_data, \ + Core::LinAlg::Matrix & point_param_space, \ + Core::LinAlg::Matrix nodal_values, \ + Core::LinAlg::Matrix & point_physical_space) + + initialize_template_map_from_parametric_to_physical_space(t_quad4); + initialize_template_map_from_parametric_to_physical_space(t_nurbs9); + initialize_template_map_from_parametric_to_physical_space(t_hex8); + initialize_template_map_from_parametric_to_physical_space(t_wedge6); + initialize_template_map_from_parametric_to_physical_space(t_nurbs27); + +#define initialize_template_assemble_local_nitsche_contributions( \ + Interface, ParentInterface, Background) \ + template void assemble_local_nitsche_contributions( \ + const Constraints::EmbeddedMesh::SolidInteractionPair* pair, \ + const Core::FE::Discretization& discret, \ + Core::LinAlg::SparseMatrix& global_penalty_interface, \ + Core::LinAlg::SparseMatrix& global_penalty_background, \ + Core::LinAlg::SparseMatrix& global_penalty_interface_background, \ + Core::LinAlg::SparseMatrix& global_nitsche_interface, \ + Core::LinAlg::SparseMatrix& global_nitsche_background, \ + Core::LinAlg::SparseMatrix& global_nitsche_interface_background, \ + Core::LinAlg::FEVector& global_penalty_constraint, \ + Core::LinAlg::FEVector& global_nitsche_constraint, \ + const Core::LinAlg::Matrix& \ + local_stiffness_penalty_interface, \ + const Core::LinAlg::Matrix& \ + local_stiffness_penalty_background, \ + const Core::LinAlg::Matrix& \ + local_stiffness_penalty_interface_background, \ + const Core::LinAlg::Matrix& \ + local_stiffness_nitsche_parent, \ + const Core::LinAlg::Matrix& \ + local_stiffness_nitsche_background, \ + const Core::LinAlg::Matrix& \ + local_stiffness_nitsche_parent_background, \ + const Core::LinAlg::Matrix& \ + local_constraint_penalty, \ + const Core::LinAlg::Matrix& \ + local_constraint_nitsche); + + initialize_template_assemble_local_nitsche_contributions(t_quad4, t_hex8, t_hex8); + initialize_template_assemble_local_nitsche_contributions(t_nurbs9, t_nurbs27, t_hex8); + initialize_template_assemble_local_nitsche_contributions(t_quad4, t_hex8, t_nurbs27); + initialize_template_assemble_local_nitsche_contributions(t_nurbs9, t_nurbs27, t_nurbs27); + initialize_template_assemble_local_nitsche_contributions(t_nurbs9, t_nurbs27, t_wedge6); + +#define initialize_template_calculate_determinant_interface_element_current_conf(Interface) \ + template double get_determinant_interface_element_current_conf( \ + Core::LinAlg::Matrix<2, 1> eta, const Core::Elements::Element& element, \ + const GeometryPair::ElementData& element_data_surface); + + initialize_template_calculate_determinant_interface_element_current_conf(t_quad4); + initialize_template_calculate_determinant_interface_element_current_conf(t_nurbs9); } // namespace Constraints::EmbeddedMesh FOUR_C_NAMESPACE_CLOSE \ No newline at end of file diff --git a/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_utils.hpp b/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_utils.hpp index 00f1aa6f270..4564547d6b2 100644 --- a/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_utils.hpp +++ b/src/constraint_framework/4C_constraint_framework_embeddedmesh_solid_to_solid_utils.hpp @@ -13,6 +13,8 @@ #include "4C_constraint_framework_embeddedmesh_params.hpp" #include "4C_fem_discretization.hpp" #include "4C_fem_general_utils_gausspoints.hpp" +#include "4C_geometry_pair_element.hpp" +#include "4C_geometry_pair_line_to_surface.hpp" #include "4C_linalg_fevector.hpp" #include @@ -98,6 +100,10 @@ namespace Constraints::EmbeddedMesh std::vector>& embeddedmesh_coupling_pairs); + std::vector get_node_ids_parent_elements( + std::vector& info_background_interface_elements, + Core::FE::Discretization& discret); + /** * \brief Change integration rule of cut background elements * @param cut_elements_vector (in) vector of cut elements @@ -123,9 +129,9 @@ namespace Constraints::EmbeddedMesh * This function assumes that the mortar contributions are symmetric, i.e. global_g_b = * global_fb_l^T and global_g_s = global_fs_l^T. * - * @param pair (in) The beam-to-solid pair. + * @param pair (in) The interface-to-solid pair. * @param discret (in) Discretization - * @param mortar_manager (in) Mortar manager for the solid-to-solid condition + * @param mortar_manager (in) Mortar manager for the interface-to-solid condition * @param global_g_bl (in/out) Constraint equations derived w.r.t the interface (from the * boundary layer) DOFs * @param global_g_bg (in/out) Constraint equations derived w.r.t the background solid DOFs @@ -155,6 +161,199 @@ namespace Constraints::EmbeddedMesh const Core::LinAlg::Matrix& local_kappa, const Core::LinAlg::Matrix& local_constraint); + /** + * \brief Assemble local penalty contributions of the Nitsche method into + * the global matrices. + * + * @param pair (in) The interface-to-solid pair. + * @param discret (in) Discretization + * @param global_penalty_interface (in/out) Global penalty contributions from the interface (from + * the boundary layer) DOFs + * @param global_penalty_background (in/out) Global penalty contributions from the background + * solid DOFs + * @param global_penalty_interface_background (in/out) Global penalty contributions from the + * interface and background DOFs multipliers + * @param local_stiffness_penalty_interface (in) Local penalty contributions from the interface of + * the pair. + * @param local_stiffness_penalty_background (in) Local penalty contributions from the background + * of the pair. + * @param local_stiffness_penalty_interface_background (in) Local penalty contributions from both + * interface and background of the pair. + */ + template + void assemble_local_nitsche_contributions( + const Constraints::EmbeddedMesh::SolidInteractionPair* pair, + const Core::FE::Discretization& discret, Core::LinAlg::SparseMatrix& global_penalty_interface, + Core::LinAlg::SparseMatrix& global_penalty_background, + Core::LinAlg::SparseMatrix& global_penalty_interface_background, + Core::LinAlg::SparseMatrix& global_nitsche_interface, + Core::LinAlg::SparseMatrix& global_nitsche_background, + Core::LinAlg::SparseMatrix& global_nitsche_interface_background, + Core::LinAlg::FEVector& global_penalty_constraint, + Core::LinAlg::FEVector& global_nitsche_constraint, + const Core::LinAlg::Matrix& + local_stiffness_penalty_interface, + const Core::LinAlg::Matrix& + local_stiffness_penalty_background, + const Core::LinAlg::Matrix& + local_stiffness_penalty_interface_background, + const Core::LinAlg::Matrix& + local_stiffness_nitsche_parent, + const Core::LinAlg::Matrix& + local_stiffness_nitsche_background, + const Core::LinAlg::Matrix& + local_stiffness_nitsche_parent_background, + const Core::LinAlg::Matrix& + local_constraint_penalty, + const Core::LinAlg::Matrix& + local_constraint_nitsche); + + + template + void calculate_derivative_unit_normal_d_displacement(const T& xi, + const GeometryPair::ElementData& element_data_surface, + Core::LinAlg::Matrix<3, Interface::n_nodes_ * 3, double>& d_unit_normal_d_disp) + { + // Define variables + Core::LinAlg::Matrix<3, 1, double> normal; + Core::LinAlg::Matrix<3, Interface::n_nodes_ * 3, double> d_normal_d_disp( + Core::LinAlg::Initialization::zero); + + // Evaluate derivative on position w.r.t. xi + Core::LinAlg::Matrix<3, 2, double> dinterface; + Core::LinAlg::Matrix<3, 1, double> dinterface_dxi; + Core::LinAlg::Matrix<3, 1, double> dinterface_deta; + GeometryPair::evaluate_position_derivative1(xi, element_data_surface, dinterface); + for (unsigned int i_dir = 0; i_dir < 3; i_dir++) + { + dinterface_dxi(i_dir) = dinterface(i_dir, 0); + dinterface_deta(i_dir) = dinterface(i_dir, 1); + } + + // Calculate the non-normalized and normalized normal on xi + normal.cross_product(dinterface_dxi, dinterface_deta); + double length_normal = Core::FADUtils::vector_norm(normal); + + if constexpr (std::is_same::value) + { + // In the NURBS case some normals have to be flipped to point outward of the volume element + normal.scale(element_data_surface.shape_function_data_.surface_normal_factor_); + } + Core::LinAlg::Matrix<3, 1, double> unit_normal(normal); + unit_normal.scale(1.0 / Core::FADUtils::vector_norm(normal)); + + // Initialize matrix of shape function derivatives + Core::LinAlg::Matrix dN( + Core::LinAlg::Initialization::zero); + GeometryPair::EvaluateShapeFunction::evaluate_deriv1( + dN, xi, element_data_surface.shape_function_data_); + + // Define directions + Core::LinAlg::Matrix<3, 1, double> e_x(Core::LinAlg::Initialization::zero), + e_y(Core::LinAlg::Initialization::zero), e_z(Core::LinAlg::Initialization::zero); + e_x(0, 0) = 1.0; + e_y(1, 0) = 1.0; + e_z(2, 0) = 1.0; + const std::array, 3> dirs = {e_x, e_y, e_z}; + + // Calculate derivative of non-normalized normal w.r.t. the displacements + for (unsigned int i_interface_node = 0; i_interface_node < Interface::n_nodes_; + ++i_interface_node) + { + for (unsigned int i_dir = 0; i_dir < 3; ++i_dir) + { + Core::LinAlg::Matrix<3, 1, double> d_xi_vector; + Core::LinAlg::Matrix<3, 1, double> d_eta_vector; + d_xi_vector.cross_product(dirs[i_dir], dinterface_deta); + d_xi_vector.scale(dN(0, i_interface_node)); + + d_eta_vector.cross_product(dinterface_dxi, dirs[i_dir]); + d_eta_vector.scale(dN(1, i_interface_node)); + + d_normal_d_disp(0, i_interface_node * 3 + i_dir) = d_xi_vector(0) + d_eta_vector(0); + d_normal_d_disp(1, i_interface_node * 3 + i_dir) = d_xi_vector(1) + d_eta_vector(1); + d_normal_d_disp(2, i_interface_node * 3 + i_dir) = d_xi_vector(2) + d_eta_vector(2); + } + } + + // Define weighting matrix + Core::LinAlg::Matrix<3, 3, double> weighting_matrix(Core::LinAlg::Initialization::zero); + weighting_matrix(0, 0) = 1.0 - unit_normal(0) * unit_normal(0); + weighting_matrix(1, 1) = 1.0 - unit_normal(1) * unit_normal(1); + weighting_matrix(2, 2) = 1.0 - unit_normal(2) * unit_normal(2); + weighting_matrix(0, 1) = unit_normal(0) * unit_normal(1); + weighting_matrix(0, 2) = unit_normal(0) * unit_normal(2); + weighting_matrix(1, 0) = unit_normal(1) * unit_normal(0); + weighting_matrix(1, 2) = unit_normal(1) * unit_normal(2); + weighting_matrix(2, 0) = unit_normal(2) * unit_normal(0); + weighting_matrix(2, 1) = unit_normal(2) * unit_normal(1); + + // Calculate derivative of normalized normal w.r.t. the displacements + d_unit_normal_d_disp.multiply(weighting_matrix, d_normal_d_disp); + d_unit_normal_d_disp.scale(1 / length_normal); + } + + /** + * \brief Map a point from the element's parametric space to the physical space + */ + template + void map_from_parametric_to_physical_space( + GeometryPair::ElementData element_data, + Core::LinAlg::Matrix& point_param_space, + Core::LinAlg::Matrix nodal_values, + Core::LinAlg::Matrix& point_physical_space); + + template + std::shared_ptr project_boundary_cell_gauss_rule_on_interface( + Cut::BoundaryCell* boundary_cell, GeometryPair::ElementData& ele1pos); + + double get_determinant_interface_element( + Core::LinAlg::Matrix<2, 1> eta, const Core::Elements::Element& element); + + template + double get_determinant_interface_element_current_conf(Core::LinAlg::Matrix<2, 1> eta, + const Core::Elements::Element& element, + const GeometryPair::ElementData& element_data_surface); + + /** + * \brief Evaluate the normal vector at the nodes of an interface element + */ + template + typename std::enable_if::value_>::type + evaluate_interface_element_nodal_normals( + GeometryPair::ElementData& element_data_surface) + { + Core::LinAlg::SerialDenseMatrix nodal_coordinates = + Core::FE::get_ele_node_numbering_nodes_paramspace(ElementType::discretization_); + Core::LinAlg::Matrix<3, 1, double> xi(Core::LinAlg::Initialization::zero); + Core::LinAlg::Matrix<3, 1, double> temp_normal; + Core::LinAlg::Matrix> normals; + + for (size_t iter_node = 0; iter_node < ElementType::n_nodes_; iter_node++) + { + for (unsigned int i_dim = 0; i_dim < 2; i_dim++) + xi(i_dim) = nodal_coordinates(i_dim, iter_node); + GeometryPair::evaluate_face_normal(xi, element_data_surface, temp_normal); + for (unsigned int i_dim = 0; i_dim < 3; i_dim++) + normals(iter_node)(i_dim) += temp_normal(i_dim); + } + + for (size_t iter_node = 0; iter_node < ElementType::n_nodes_; iter_node++) + { + normals(iter_node).scale(1.0 / Core::FADUtils::vector_norm(normals(iter_node))); + element_data_surface.nodal_normals_(0 + 3 * iter_node) = normals(iter_node)(0); + element_data_surface.nodal_normals_(1 + 3 * iter_node) = normals(iter_node)(1); + element_data_surface.nodal_normals_(2 + 3 * iter_node) = normals(iter_node)(2); + } + } + + template + std::enable_if_t::value_> + evaluate_interface_element_nodal_normals( + GeometryPair::ElementData& element_data_surface) + { + } + /** * \brief Get the GIDs of the Lagrange multiplicator unknowns for a beam-to-solid pair. * @param mortar_manager (in) Mortar manager for the interface-to-background condition diff --git a/src/constraint_framework/4C_constraint_framework_input.cpp b/src/constraint_framework/4C_constraint_framework_input.cpp index fb923adc0ca..ccc3a0806e0 100644 --- a/src/constraint_framework/4C_constraint_framework_input.cpp +++ b/src/constraint_framework/4C_constraint_framework_input.cpp @@ -25,7 +25,11 @@ std::vector Constraints::valid_parameters() spec.push_back(group("CONSTRAINT", {parameter( - "CONSTRAINT_ENFORCEMENT", {.description = "Type of constraint enforcement"}), + "CONSTRAINT_ENFORCEMENT", {.description = "Type of constraint enforcement", + .default_value = EnforcementStrategy::none}), + + parameter( + "NUMSTEP", {.description = "max number of time steps", .default_value = 41}), parameter("PENALTY_PARAM", {.description = "Value of the penalty parameter", .default_value = 1e5})}, @@ -35,14 +39,35 @@ std::vector Constraints::valid_parameters() /* parameters for embedded mesh constraint submodel */ spec.push_back(group("CONSTRAINT/EMBEDDED MESH COUPLING", - { - parameter("COUPLING_STRATEGY", - {.description = "Strategy to couple background and overlapping mesh"}), + {parameter("COUPLING_STRATEGY", + {.description = "Strategy to couple background and overlapping mesh", + .default_value = EmbeddedMesh::CouplingStrategy::undefined}), parameter("MORTAR_SHAPE_FUNCTION", {.description = "Shape functions that should be use in case of coupling using the " - "Mortar/Lagrange Multiplier method "}), - }, + "Mortar/Lagrange Multiplier method ", + .default_value = EmbeddedMesh::SolidToSolidMortarShapefunctions::undefined}), + + parameter("NITSCHE_WEIGHTING_TYPE", + {.description = "Type of weighting that should be used for averaging quantities " + "using the Nitsche method. ", + .default_value = EmbeddedMesh::NitscheWeightingType::undefined}), + + parameter("NITSCHE_SCALAR_FACTOR_FOR_STABILIZATION_PARAM", + {.description = + "Value of the stabilization parameter for coupling based on the " + "Nitsche method for cases where the NITSCHE_WEIGHTING_TYPE is not undefined.", + .default_value = 1.0}), + + parameter("NITSCHE_STABILIZATION_PARAM", + {.description = "Value of the stabilization parameter for coupling based on the " + "Nitsche method in case the Nitsche weighting method is undefined", + .default_value = 1e5}), + + parameter( + "NITSCHE_WEIGHTING_PARAM", {.description = "Value of the average weight parameter " + "for coupling based on the Nitsche method", + .default_value = 0.5})}, {.required = false})); /*----------------------------------------------------------------------*/ diff --git a/src/constraint_framework/4C_constraint_framework_input.hpp b/src/constraint_framework/4C_constraint_framework_input.hpp index f6cd7a90018..537f24010be 100644 --- a/src/constraint_framework/4C_constraint_framework_input.hpp +++ b/src/constraint_framework/4C_constraint_framework_input.hpp @@ -35,6 +35,7 @@ namespace Constraints /// type of employed constraint enforcement strategy enum class EnforcementStrategy { + none, ///< default penalty, ///< Penalty based constraint enforcement lagrange ///< Lagrange Multiplier based constraint enforcement }; @@ -43,7 +44,9 @@ namespace Constraints { enum class CouplingStrategy { - mortar ///< Mortar based coupling + undefined, ///< default + mortar, ///< Mortar based coupling + nitsche ///< Nitsche based coupling }; /** @@ -52,10 +55,24 @@ namespace Constraints */ enum class SolidToSolidMortarShapefunctions { + undefined, ///< default + quad4, ///< Linear Lagrange elements + quad9, ///< Quadratic Lagrange elements + nurbs9 ///< Quadratic NURBS elements + }; - quad4, ///< Linear Lagrange elements - quad9, ///< Quadratic Lagrange elements - nurbs9 ///< Quadratic NURBS elements + /** + * \brief Weighting type used for calculating the weighting and stabilization parameter used for + * the Nitsche method + */ + enum class NitscheWeightingType + { + undefined, ///< default, the user can specify the weighting and stabilization parameter + overlapping_mesh, ///< only the overlapping mesh contribution are be considered + underlying_mesh, ///< only the underlying mesh contribution are be considered + harmonic ///< the weighting and stabilization parameter are calculated using harmonic weights + ///< (et.al. Burman and Zunino in "Numerical approximation of large contrast + ///< problems with the unfitted Nitsche method") }; } // namespace EmbeddedMesh diff --git a/src/constraint_framework/4C_constraint_framework_submodelevaluator_embeddedmesh.cpp b/src/constraint_framework/4C_constraint_framework_submodelevaluator_embeddedmesh.cpp index aae000491e1..c3dacc3cf5b 100644 --- a/src/constraint_framework/4C_constraint_framework_submodelevaluator_embeddedmesh.cpp +++ b/src/constraint_framework/4C_constraint_framework_submodelevaluator_embeddedmesh.cpp @@ -9,6 +9,7 @@ #include "4C_comm_mpi_utils.hpp" #include "4C_constraint_framework_embeddedmesh_solid_to_solid_mortar_manager.hpp" +#include "4C_constraint_framework_embeddedmesh_solid_to_solid_nitsche_manager.hpp" #include "4C_constraint_framework_embeddedmesh_solid_to_solid_utils.hpp" #include "4C_global_data.hpp" #include "4C_io_visualization_manager.hpp" @@ -26,9 +27,8 @@ Constraints::SubmodelEvaluator::EmbeddedMeshConstraintManager::EmbeddedMeshConst auto xfem_parameter_list = Global::Problem::instance()->xfem_general_params(); auto cut_parameter_list = Global::Problem::instance()->cut_general_params(); - auto embedded_mesh_constraint_enforcement = - Teuchos::getIntegralValue( - constraint_parameter_list, "CONSTRAINT_ENFORCEMENT"); + strategy_ = Teuchos::getIntegralValue( + constraint_parameter_list, "CONSTRAINT_ENFORCEMENT"); auto embedded_mesh_constraint_penalty_parameter = constraint_parameter_list.get("PENALTY_PARAM"); @@ -39,6 +39,19 @@ Constraints::SubmodelEvaluator::EmbeddedMeshConstraintManager::EmbeddedMeshConst Teuchos::getIntegralValue( embedded_mesh_parameter_list, "COUPLING_STRATEGY"); + auto embedded_mesh_nitsche_weighting_type = + Teuchos::getIntegralValue( + embedded_mesh_parameter_list, "NITSCHE_WEIGHTING_TYPE"); + + auto embedded_mesh_scalar_factor_for_stabilization_param = + embedded_mesh_parameter_list.get("NITSCHE_SCALAR_FACTOR_FOR_STABILIZATION_PARAM"); + + auto embedded_mesh_nitsche_stabilization_param = + embedded_mesh_parameter_list.get("NITSCHE_STABILIZATION_PARAM"); + + auto embedded_mesh_nitsche_average_weight_param = + embedded_mesh_parameter_list.get("NITSCHE_WEIGHTING_PARAM"); + auto embedded_mesh_mortar_shape_function = Teuchos::getIntegralValue( embedded_mesh_parameter_list, "MORTAR_SHAPE_FUNCTION"); @@ -54,11 +67,15 @@ Constraints::SubmodelEvaluator::EmbeddedMeshConstraintManager::EmbeddedMeshConst bool cut_screen_output = xfem_parameter_list.get("PRINT_OUTPUT"); // Initialize embedded mesh coupling parameters - Constraints::EmbeddedMesh::EmbeddedMeshParams embedded_mesh_coupling_params = { - .coupling_strategy_ = embedded_mesh_coupling_strategy, - .constraint_enforcement_ = embedded_mesh_constraint_enforcement, + embedded_mesh_coupling_params_ = {.coupling_strategy_ = embedded_mesh_coupling_strategy, + .constraint_enforcement_ = strategy_, .constraint_penalty_parameter_ = embedded_mesh_constraint_penalty_parameter, .mortar_shape_function_ = embedded_mesh_mortar_shape_function, + .nitsche_weighting_type_ = embedded_mesh_nitsche_weighting_type, + .nitsche_scalar_factor_for_stabilization_param_ = + embedded_mesh_scalar_factor_for_stabilization_param, + .nitsche_average_weight_param_ = embedded_mesh_nitsche_average_weight_param, + .nitsche_stabilization_param_ = embedded_mesh_nitsche_stabilization_param, .xfem_nodal_dof_set_strategy_ = nodal_dofset_strategy, .xfem_volume_cell_gauss_point_by_ = volume_cell_gauss_point_by, .xfem_bcell_gauss_point_by_ = bound_cell_gauss_point_by, @@ -66,6 +83,9 @@ Constraints::SubmodelEvaluator::EmbeddedMeshConstraintManager::EmbeddedMeshConst .cut_screen_output_ = cut_screen_output, .cut_params_ = cut_parameter_list}; + // Do basic checks of the embedded mesh parameters + check_input(); + // Initialize visualization manager auto visualization_manager = std::make_shared( Core::IO::visualization_parameters_factory( @@ -73,9 +93,46 @@ Constraints::SubmodelEvaluator::EmbeddedMeshConstraintManager::EmbeddedMeshConst *Global::Problem::instance()->output_control_file(), 0.0), // Fix time discret_ptr->get_comm(), "embedded_mesh"); - mortar_manager_ = std::make_shared( - discret_ptr, dispnp, embedded_mesh_coupling_params, visualization_manager, - discret_ptr->dof_row_map()->max_all_gid() + 1); + if (embedded_mesh_coupling_params_.coupling_strategy_ == + Constraints::EmbeddedMesh::CouplingStrategy::mortar) + { + mortar_manager_ = std::make_shared( + discret_ptr, dispnp, embedded_mesh_coupling_params_, visualization_manager, + discret_ptr->dof_row_map()->max_all_gid() + 1); + } + else if (embedded_mesh_coupling_params_.coupling_strategy_ == + Constraints::EmbeddedMesh::CouplingStrategy::nitsche) + { + nitsche_manager_ = std::make_shared( + discret_ptr, dispnp, embedded_mesh_coupling_params_, visualization_manager); + } +} + +/*----------------------------------------------------------------------------* + *----------------------------------------------------------------------------*/ +void Constraints::SubmodelEvaluator::EmbeddedMeshConstraintManager::check_input() +{ + // Check the coupling strategy + switch (embedded_mesh_coupling_params_.coupling_strategy_) + { + case Constraints::EmbeddedMesh::CouplingStrategy::mortar: + { + FOUR_C_ASSERT(embedded_mesh_coupling_params_.constraint_enforcement_ == + Constraints::EnforcementStrategy::penalty, + "The following implementation for embedded mesh coupling based on the mortar method is " + "implemented only for a penalty constraint enforcement. "); + break; + } + case Constraints::EmbeddedMesh::CouplingStrategy::nitsche: + { + break; + } + case Constraints::EmbeddedMesh::CouplingStrategy::undefined: + { + FOUR_C_THROW("Define a constraint strategy for the evaluation of embedded mesh coupling."); + break; + } + } } bool Constraints::SubmodelEvaluator::EmbeddedMeshConstraintManager::evaluate_force_stiff( @@ -84,19 +141,34 @@ bool Constraints::SubmodelEvaluator::EmbeddedMeshConstraintManager::evaluate_for std::shared_ptr me_stiff_ptr, std::shared_ptr> me_force_ptr) { - // Evaluate the global mortar matrices - mortar_manager_->evaluate_global_coupling_contributions(displacement_vector); - mortar_manager_->add_global_force_stiffness_penalty_contributions( - *global_state_ptr, me_stiff_ptr, me_force_ptr); - + if (embedded_mesh_coupling_params_.coupling_strategy_ == + Constraints::EmbeddedMesh::CouplingStrategy::mortar) + { + // Evaluate the global mortar matrices + mortar_manager_->evaluate_global_coupling_contributions(displacement_vector); + mortar_manager_->add_global_force_stiffness_penalty_contributions( + *global_state_ptr, me_stiff_ptr, me_force_ptr); + } + if (embedded_mesh_coupling_params_.coupling_strategy_ == + Constraints::EmbeddedMesh::CouplingStrategy::nitsche) + { + // Evaluate the global mortar matrices + nitsche_manager_->evaluate_global_coupling_contributions(displacement_vector); + nitsche_manager_->add_global_force_stiffness_contributions( + *global_state_ptr, me_stiff_ptr, me_force_ptr); + } return true; } void Constraints::SubmodelEvaluator::EmbeddedMeshConstraintManager::runtime_output_step_state( std::pair output_time_and_step) { - // Write runtime output for the embedded mesh method - mortar_manager_->write_output(output_time_and_step.first, output_time_and_step.second); + if (embedded_mesh_coupling_params_.coupling_strategy_ == + Constraints::EmbeddedMesh::CouplingStrategy::mortar) + { + // Write runtime output for the embedded mesh method + mortar_manager_->write_output(output_time_and_step.first, output_time_and_step.second); + } } std::map diff --git a/src/constraint_framework/4C_constraint_framework_submodelevaluator_embeddedmesh.hpp b/src/constraint_framework/4C_constraint_framework_submodelevaluator_embeddedmesh.hpp index 77a953b638b..4b59f1fbabf 100644 --- a/src/constraint_framework/4C_constraint_framework_submodelevaluator_embeddedmesh.hpp +++ b/src/constraint_framework/4C_constraint_framework_submodelevaluator_embeddedmesh.hpp @@ -10,6 +10,7 @@ #include "4C_config.hpp" +#include "4C_constraint_framework_embeddedmesh_params.hpp" #include "4C_constraint_framework_submodelevaluator_base.hpp" #include "4C_fem_discretization.hpp" @@ -18,7 +19,8 @@ FOUR_C_NAMESPACE_OPEN namespace Constraints::EmbeddedMesh { class SolidToSolidMortarManager; -} + class SolidToSolidNitscheManager; +} // namespace Constraints::EmbeddedMesh namespace Constraints::SubmodelEvaluator { @@ -54,6 +56,10 @@ namespace Constraints::SubmodelEvaluator // Nothing implemented } + /*! Perform basic checks of the input conditions and parameters + */ + void check_input(); + //! derived void runtime_output_step_state(std::pair output_time_and_step) override; @@ -61,8 +67,14 @@ namespace Constraints::SubmodelEvaluator //@} private: + //! Couple strategy between overlapping and underlying meshes + Constraints::EmbeddedMesh::EmbeddedMeshParams embedded_mesh_coupling_params_; + //! Pointer to the mortar manager. This object stores the relevant mortar matrices. std::shared_ptr mortar_manager_; + + //! Pointer to the Nitsche manager. + std::shared_ptr nitsche_manager_; }; } // namespace Constraints::SubmodelEvaluator diff --git a/src/constraint_framework/4C_constraint_framework_submodelevaluator_mpc.cpp b/src/constraint_framework/4C_constraint_framework_submodelevaluator_mpc.cpp index 1c2062feff5..ac3769419b6 100644 --- a/src/constraint_framework/4C_constraint_framework_submodelevaluator_mpc.cpp +++ b/src/constraint_framework/4C_constraint_framework_submodelevaluator_mpc.cpp @@ -157,6 +157,13 @@ void Constraints::SubmodelEvaluator::RveMultiPointConstraintManager::check_input break; } + case Constraints::EnforcementStrategy::none: + { + FOUR_C_THROW( + "Define a constraint enforcement for the evaluation of periodic boundary conditions for " + "RVEs."); + break; + } } // Conditions definition diff --git a/src/solid_3D_ele/4C_solid_3D_ele.hpp b/src/solid_3D_ele/4C_solid_3D_ele.hpp index b169d4ffc6b..df96a60a66e 100644 --- a/src/solid_3D_ele/4C_solid_3D_ele.hpp +++ b/src/solid_3D_ele/4C_solid_3D_ele.hpp @@ -200,16 +200,20 @@ namespace Discret::Elements * @param dir (in) : Direction of the Cauchy stress * @param linearizations (in/out) : A struct containing the needed linearizations (which might * are null) + * @param discret (in) : Discretization of this element * @return double (out) : The scalar Cauchy stress value */ double get_normal_cauchy_stress_at_xi(const std::vector& disp, const Core::LinAlg::Tensor& xi, const Core::LinAlg::Tensor& n, - const Core::LinAlg::Tensor& dir, CauchyNDirLinearizations<3>& linearizations); + const Core::LinAlg::Tensor& dir, CauchyNDirLinearizations<3>& linearizations, + const Core::FE::Discretization* discret = nullptr); void for_each_gauss_point(Core::FE::Discretization& discretization, std::vector& lm, const std::function& integrator) const; + Inpar::Solid::KinemType kinematic_type() { return solid_ele_property_.kintype; } + private: //! cell type Core::FE::CellType celltype_ = Core::FE::CellType::dis_none; diff --git a/src/solid_3D_ele/4C_solid_3D_ele_calc.cpp b/src/solid_3D_ele/4C_solid_3D_ele_calc.cpp index 0b740cb0f28..7787dbe2bbe 100644 --- a/src/solid_3D_ele/4C_solid_3D_ele_calc.cpp +++ b/src/solid_3D_ele/4C_solid_3D_ele_calc.cpp @@ -545,7 +545,7 @@ Discret::Elements::SolidEleCalc::get_normal_cauchy const Core::Elements::Element& ele, Mat::So3Material& solid_material, const std::vector& disp, const Core::LinAlg::Tensor& xi, const Core::LinAlg::Tensor& n, const Core::LinAlg::Tensor& dir, - CauchyNDirLinearizations<3>& linearizations) + CauchyNDirLinearizations<3>& linearizations, const Core::FE::Discretization* discret) { if constexpr (has_gauss_point_history) { @@ -556,7 +556,7 @@ Discret::Elements::SolidEleCalc::get_normal_cauchy } else { - ElementNodes element_nodes = evaluate_element_nodes(ele, disp); + ElementNodes element_nodes = evaluate_element_nodes(ele, disp, discret); const ShapeFunctionsAndDerivatives shape_functions = evaluate_shape_functions_and_derivs(xi, element_nodes); diff --git a/src/solid_3D_ele/4C_solid_3D_ele_calc.hpp b/src/solid_3D_ele/4C_solid_3D_ele_calc.hpp index b81531b01fd..5e868a066a6 100644 --- a/src/solid_3D_ele/4C_solid_3D_ele_calc.hpp +++ b/src/solid_3D_ele/4C_solid_3D_ele_calc.hpp @@ -116,7 +116,8 @@ namespace Discret::Elements double get_normal_cauchy_stress_at_xi(const Core::Elements::Element& ele, Mat::So3Material& solid_material, const std::vector& disp, const Core::LinAlg::Tensor& xi, const Core::LinAlg::Tensor& n, - const Core::LinAlg::Tensor& dir, CauchyNDirLinearizations<3>& linearizations); + const Core::LinAlg::Tensor& dir, CauchyNDirLinearizations<3>& linearizations, + const Core::FE::Discretization* discret = nullptr); void for_each_gauss_point(const Core::Elements::Element& ele, Mat::So3Material& solid_material, const Core::FE::Discretization& discretization, const std::vector& lm, diff --git a/src/solid_3D_ele/4C_solid_3D_ele_calc_lib.hpp b/src/solid_3D_ele/4C_solid_3D_ele_calc_lib.hpp index 06c48dc1da3..32051a50ea7 100644 --- a/src/solid_3D_ele/4C_solid_3D_ele_calc_lib.hpp +++ b/src/solid_3D_ele/4C_solid_3D_ele_calc_lib.hpp @@ -158,7 +158,8 @@ namespace Discret::Elements */ template requires std::ranges::sized_range - ElementNodes evaluate_element_nodes(const Core::Elements::Element& ele, const R& disp) + ElementNodes evaluate_element_nodes(const Core::Elements::Element& ele, const R& disp, + const Core::FE::Discretization* discret = nullptr) { Discret::Elements::ElementNodes element_nodes; for (int i = 0; i < Internal::num_nodes; ++i) @@ -174,6 +175,17 @@ namespace Discret::Elements element_nodes.current_coordinates = element_nodes.reference_coordinates; element_nodes.current_coordinates.update(1.0, element_nodes.displacements, 1.0); + if constexpr (Core::FE::is_nurbs) + { + FOUR_C_ASSERT(discret != nullptr, "For NURBS elements, the discretization must be given."); + + // Obtain the information required for a NURBS element + bool zero_size = Core::FE::Nurbs::get_my_nurbs_knots_and_weights( + *discret, &ele, element_nodes.knots, element_nodes.weights); + if (zero_size) + FOUR_C_THROW("get_my_nurbs_knots_and_weights has to return a non zero size NURBS element."); + } + return element_nodes; } @@ -195,16 +207,7 @@ namespace Discret::Elements Core::FE::extract_values_as_array(displacements, lm); Discret::Elements::ElementNodes element_nodes = - evaluate_element_nodes(ele, mydisp); - - if constexpr (Core::FE::is_nurbs) - { - // Obtain the information required for a NURBS element - bool zero_size = Core::FE::Nurbs::get_my_nurbs_knots_and_weights( - discretization, &ele, element_nodes.knots, element_nodes.weights); - if (zero_size) - FOUR_C_THROW("get_my_nurbs_knots_and_weights has to return a non zero size NURBS element."); - } + evaluate_element_nodes(ele, mydisp, &discretization); return element_nodes; } diff --git a/src/solid_3D_ele/4C_solid_3D_ele_calc_lib_nitsche.hpp b/src/solid_3D_ele/4C_solid_3D_ele_calc_lib_nitsche.hpp index 2d289ee69a6..2f8fe7f9b3c 100644 --- a/src/solid_3D_ele/4C_solid_3D_ele_calc_lib_nitsche.hpp +++ b/src/solid_3D_ele/4C_solid_3D_ele_calc_lib_nitsche.hpp @@ -402,7 +402,8 @@ namespace Discret::Elements std::declval&>(), std::declval&>(), std::declval&>(), - std::declval&>()))>> = true; + std::declval&>(), + std::declval()))>> = true; namespace Internal { @@ -412,8 +413,16 @@ namespace Discret::Elements EvaluateCauchyNDirAction(const Core::Elements::Element& e, Mat::So3Material& m, const std::vector& d, const Core::LinAlg::Tensor& x, const Core::LinAlg::Tensor& normal, - const Core::LinAlg::Tensor& direction, CauchyNDirLinearizations& lins) - : element(e), mat(m), disp(d), xi(x), n(normal), dir(direction), linearizations(lins) + const Core::LinAlg::Tensor& direction, CauchyNDirLinearizations& lins, + const Core::FE::Discretization* dscrt = nullptr) + : element(e), + mat(m), + disp(d), + xi(x), + n(normal), + dir(direction), + linearizations(lins), + discret(dscrt) { } @@ -422,7 +431,7 @@ namespace Discret::Elements requires(can_evaluate_cauchy_n_dir) { return cauchy_n_dir_evaluatable->get_normal_cauchy_stress_at_xi( - element, mat, disp, xi, n, dir, linearizations); + element, mat, disp, xi, n, dir, linearizations, discret); } template @@ -442,6 +451,7 @@ namespace Discret::Elements const Core::LinAlg::Tensor& n; const Core::LinAlg::Tensor& dir; CauchyNDirLinearizations& linearizations; + const Core::FE::Discretization* discret; }; } // namespace Internal @@ -456,10 +466,10 @@ namespace Discret::Elements const Core::Elements::Element& element, Mat::So3Material& mat, const std::vector& disp, const Core::LinAlg::Tensor& xi, const Core::LinAlg::Tensor& n, const Core::LinAlg::Tensor& dir, - CauchyNDirLinearizations<3>& linearizations) + CauchyNDirLinearizations<3>& linearizations, const Core::FE::Discretization* discretization) { - return std::visit( - Internal::EvaluateCauchyNDirAction<3>(element, mat, disp, xi, n, dir, linearizations), + return std::visit(Internal::EvaluateCauchyNDirAction<3>( + element, mat, disp, xi, n, dir, linearizations, discretization), variant); } } // namespace Discret::Elements diff --git a/src/solid_3D_ele/4C_solid_3D_ele_evaluate.cpp b/src/solid_3D_ele/4C_solid_3D_ele_evaluate.cpp index 9dfef0499c4..3d23f3dd440 100644 --- a/src/solid_3D_ele/4C_solid_3D_ele_evaluate.cpp +++ b/src/solid_3D_ele/4C_solid_3D_ele_evaluate.cpp @@ -316,12 +316,13 @@ int Discret::Elements::Solid::evaluate_neumann(Teuchos::ParameterList& params, double Discret::Elements::Solid::get_normal_cauchy_stress_at_xi(const std::vector& disp, const Core::LinAlg::Tensor& xi, const Core::LinAlg::Tensor& n, - const Core::LinAlg::Tensor& dir, CauchyNDirLinearizations<3>& linearizations) + const Core::LinAlg::Tensor& dir, CauchyNDirLinearizations<3>& linearizations, + const Core::FE::Discretization* discretization) { FOUR_C_ASSERT(solid_calc_variant_.has_value(), "The solid calculation interface is not initialized for element id {}.", id()); - return Discret::Elements::get_normal_cauchy_stress_at_xi( - *solid_calc_variant_, *this, *solid_material(), disp, xi, n, dir, linearizations); + return Discret::Elements::get_normal_cauchy_stress_at_xi(*solid_calc_variant_, *this, + *solid_material(), disp, xi, n, dir, linearizations, discretization); } FOUR_C_NAMESPACE_CLOSE diff --git a/src/structure_new/src/model_evaluator/4C_structure_new_model_evaluator_structure.cpp b/src/structure_new/src/model_evaluator/4C_structure_new_model_evaluator_structure.cpp index 50210b22eeb..2b88eb44963 100644 --- a/src/structure_new/src/model_evaluator/4C_structure_new_model_evaluator_structure.cpp +++ b/src/structure_new/src/model_evaluator/4C_structure_new_model_evaluator_structure.cpp @@ -1045,13 +1045,13 @@ void Solid::ModelEvaluator::Structure::output_runtime_structure_postprocess_stre [&](const std::map>& map_data, Core::LinAlg::MultiVector& assembled_data) { - discret_ptr()->evaluate( - [&](Core::Elements::Element& ele) - { - if (do_postprocessing_on_element(ele)) - Core::FE::extrapolate_gauss_point_quantity_to_nodes( - ele, *map_data.at(ele.id()), discret(), assembled_data); - }); + // discret_ptr()->evaluate( + // [&](Core::Elements::Element& ele) + // { + // if (do_postprocessing_on_element(ele)) + // Core::FE::extrapolate_gauss_point_quantity_to_nodes( + // ele, *map_data.at(ele.id()), discret(), assembled_data); + // }); }; auto postprocess_gauss_point_data_to_element_center = diff --git a/tests/input_files/embeddedmesh_nitsche_bending_beam_linear_kinem.4C.yaml b/tests/input_files/embeddedmesh_nitsche_bending_beam_linear_kinem.4C.yaml new file mode 100644 index 00000000000..f38c0f6ca59 --- /dev/null +++ b/tests/input_files/embeddedmesh_nitsche_bending_beam_linear_kinem.4C.yaml @@ -0,0 +1,2312 @@ +TITLE: + ? "Pure bending. The equivalent moment applied at both ends is M = 0.01667, this is acchieved by adding + a varying linear force of p = 0.2*y. " + : {} +PROBLEM TYPE: + PROBLEMTYPE: "Structure" + SHAPEFCT: "Nurbs" +CONSTRAINT/EMBEDDED MESH COUPLING: + COUPLING_STRATEGY: "nitsche" + NITSCHE_STABILIZATION_PARAM: 1000 + NITSCHE_WEIGHTING_PARAM: 0.5 +CUT GENERAL: + KERNEL_INTERSECTION_FLOATTYPE: "cln" + KERNEL_DISTANCE_FLOATTYPE: "cln" + GENERAL_POSITION_DISTANCE_FLOATTYPE: "double" + GENERAL_POSITION_POSITION_FLOATTYPE: "double" + DO_SELFCUT: false + BOUNDARYCELL_CUBATURDEGREE: 1 + INTEGRATE_INSIDE_CELLS: false +IO: + OUTPUT_BIN: true + STRUCT_DISP: true +IO/RUNTIME VTK OUTPUT: + INTERVAL_STEPS: 1 + OUTPUT_DATA_FORMAT: "binary" + EVERY_ITERATION: false +IO/RUNTIME VTK OUTPUT/STRUCTURE: + OUTPUT_STRUCTURE: true + DISPLACEMENT: true + ELEMENT_OWNER: true + ELEMENT_GID: true + ELEMENT_GHOSTING: false + STRESS_STRAIN: false +MESH PARTITIONING: + METHOD: "monolithic" +SOLVER 1: + NAME: "Struct_Solver" + SOLVER: "Superlu" +STRUCTURAL DYNAMIC: + INT_STRATEGY: "Standard" + LINEAR_SOLVER: 1 + DYNAMICTYPE: "Statics" + RESULTSEVERY: 1 + NLNSOL: "fullnewton" + TIMESTEP: 0.1 + NUMSTEP: 1 + MAXTIME: 1.0 + M_DAMP: 1e-05 + K_DAMP: 1e-05 + TOLRES: 1e-09 + TOLDISP: 1e-08 + PREDICT: "TangDis" + NORM_RESF: "Abs" + NORM_DISP: "Abs" + NORMCOMBI_RESFDISP: "And" + MAXITER: 40 + DIVERCONT: "stop" +STRUCTURE KNOTVECTORS: + PATCHES: + - KNOT_VECTORS: + - DEGREE: 2 + TYPE: "Interpolated" + KNOTS: [0.0, 0.0, 0.0, 1.0, 1.0, 1.0] + - DEGREE: 2 + TYPE: "Interpolated" + KNOTS: [0.0, 0.0, 0.0, 0.08333333333333333, 0.16666666666666666, 0.25, 0.3333333333333333, 0.41666666666666663, + 0.5, 0.5833333333333333, 0.6666666666666666, 0.75, 0.8333333333333333, 0.9166666666666666, + 1.0, 1.0, 1.0] + - DEGREE: 2 + TYPE: "Interpolated" + KNOTS: [0.0, 0.0, 0.0, 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875, 1.0, 1.0, 1.0] + ID: 1 +XFEM GENERAL: + GMSH_DEBUG_OUT: false + GMSH_CUT_OUT: false + PRINT_OUTPUT: false + VOLUME_GAUSS_POINTS_BY: "Tessellation" +MATERIALS: + - MAT: 1 + MAT_ElastHyper: + NUMMAT: 1 + MATIDS: [2] + DENS: 7.8e-07 + - MAT: 2 + ELAST_CoupSVK: + YOUNG: 50.0 + NUE: 0.0 + - MAT: 3 + MAT_ElastHyper: + NUMMAT: 1 + MATIDS: [4] + DENS: 7.8e-07 + - MAT: 4 + ELAST_CoupSVK: + YOUNG: 50.0 + NUE: 0.0 +DESIGN EMBEDDED MESH SOLID SURF COUPLING CONDITIONS: + - E: 5 + COUPLINGID: 1 +DESIGN EMBEDDED SOLID VOL BACKGROUND CONDITIONS: + - E: 2 + COUPLINGID: 1 + - E: 3 + COUPLINGID: 1 +DESIGN LINE DIRICH CONDITIONS: + - E: 12 + NUMDOF: 3 + ONOFF: [1, 1, 1] + VAL: [0, 0, 0] + FUNCT: [0, 0, 0] + - E: 13 + NUMDOF: 3 + ONOFF: [1, 1, 0] + VAL: [0, 0, 0] + FUNCT: [0, 0, 0] +DESIGN SURF NEUMANN CONDITIONS: + - E: 6 + NUMDOF: 3 + ONOFF: [0, 0, 1] + VAL: [0, 0, 1] + FUNCT: [0, 0, 1] + - E: 7 + NUMDOF: 3 + ONOFF: [0, 0, 1] + VAL: [0, 0, -1] + FUNCT: [0, 0, 1] +FUNCT1: + - COMPONENT: 0 + SYMBOLIC_FUNCTION_OF_SPACE_TIME: "0.2*y" +STRUCTURE ELEMENTS: + - "1 SOLID NURBS27 1 2 3 4 5 6 7 8 9 43 44 45 46 47 48 49 50 51 85 86 87 88 89 90 91 92 93 MAT 1 KINEM + linear" + - "2 SOLID NURBS27 4 5 6 7 8 9 10 11 12 46 47 48 49 50 51 52 53 54 88 89 90 91 92 93 94 95 96 MAT 1 + KINEM linear" + - "3 SOLID NURBS27 7 8 9 10 11 12 13 14 15 49 50 51 52 53 54 55 56 57 91 92 93 94 95 96 97 98 99 MAT + 1 KINEM linear" + - "4 SOLID NURBS27 10 11 12 13 14 15 16 17 18 52 53 54 55 56 57 58 59 60 94 95 96 97 98 99 100 101 102 + MAT 1 KINEM linear" + - "5 SOLID NURBS27 13 14 15 16 17 18 19 20 21 55 56 57 58 59 60 61 62 63 97 98 99 100 101 102 103 104 + 105 MAT 1 KINEM linear" + - "6 SOLID NURBS27 16 17 18 19 20 21 22 23 24 58 59 60 61 62 63 64 65 66 100 101 102 103 104 105 106 + 107 108 MAT 1 KINEM linear" + - "7 SOLID NURBS27 19 20 21 22 23 24 25 26 27 61 62 63 64 65 66 67 68 69 103 104 105 106 107 108 109 + 110 111 MAT 1 KINEM linear" + - "8 SOLID NURBS27 22 23 24 25 26 27 28 29 30 64 65 66 67 68 69 70 71 72 106 107 108 109 110 111 112 + 113 114 MAT 1 KINEM linear" + - "9 SOLID NURBS27 25 26 27 28 29 30 31 32 33 67 68 69 70 71 72 73 74 75 109 110 111 112 113 114 115 + 116 117 MAT 1 KINEM linear" + - "10 SOLID NURBS27 28 29 30 31 32 33 34 35 36 70 71 72 73 74 75 76 77 78 112 113 114 115 116 117 118 + 119 120 MAT 1 KINEM linear" + - "11 SOLID NURBS27 31 32 33 34 35 36 37 38 39 73 74 75 76 77 78 79 80 81 115 116 117 118 119 120 121 + 122 123 MAT 1 KINEM linear" + - "12 SOLID NURBS27 34 35 36 37 38 39 40 41 42 76 77 78 79 80 81 82 83 84 118 119 120 121 122 123 124 + 125 126 MAT 1 KINEM linear" + - "13 SOLID NURBS27 43 44 45 46 47 48 49 50 51 85 86 87 88 89 90 91 92 93 127 128 129 130 131 132 133 + 134 135 MAT 1 KINEM linear" + - "14 SOLID NURBS27 46 47 48 49 50 51 52 53 54 88 89 90 91 92 93 94 95 96 130 131 132 133 134 135 136 + 137 138 MAT 1 KINEM linear" + - "15 SOLID NURBS27 49 50 51 52 53 54 55 56 57 91 92 93 94 95 96 97 98 99 133 134 135 136 137 138 139 + 140 141 MAT 1 KINEM linear" + - "16 SOLID NURBS27 52 53 54 55 56 57 58 59 60 94 95 96 97 98 99 100 101 102 136 137 138 139 140 141 + 142 143 144 MAT 1 KINEM linear" + - "17 SOLID NURBS27 55 56 57 58 59 60 61 62 63 97 98 99 100 101 102 103 104 105 139 140 141 142 143 + 144 145 146 147 MAT 1 KINEM linear" + - "18 SOLID NURBS27 58 59 60 61 62 63 64 65 66 100 101 102 103 104 105 106 107 108 142 143 144 145 146 + 147 148 149 150 MAT 1 KINEM linear" + - "19 SOLID NURBS27 61 62 63 64 65 66 67 68 69 103 104 105 106 107 108 109 110 111 145 146 147 148 149 + 150 151 152 153 MAT 1 KINEM linear" + - "20 SOLID NURBS27 64 65 66 67 68 69 70 71 72 106 107 108 109 110 111 112 113 114 148 149 150 151 152 + 153 154 155 156 MAT 1 KINEM linear" + - "21 SOLID NURBS27 67 68 69 70 71 72 73 74 75 109 110 111 112 113 114 115 116 117 151 152 153 154 155 + 156 157 158 159 MAT 1 KINEM linear" + - "22 SOLID NURBS27 70 71 72 73 74 75 76 77 78 112 113 114 115 116 117 118 119 120 154 155 156 157 158 + 159 160 161 162 MAT 1 KINEM linear" + - "23 SOLID NURBS27 73 74 75 76 77 78 79 80 81 115 116 117 118 119 120 121 122 123 157 158 159 160 161 + 162 163 164 165 MAT 1 KINEM linear" + - "24 SOLID NURBS27 76 77 78 79 80 81 82 83 84 118 119 120 121 122 123 124 125 126 160 161 162 163 164 + 165 166 167 168 MAT 1 KINEM linear" + - "25 SOLID NURBS27 85 86 87 88 89 90 91 92 93 127 128 129 130 131 132 133 134 135 169 170 171 172 173 + 174 175 176 177 MAT 1 KINEM linear" + - "26 SOLID NURBS27 88 89 90 91 92 93 94 95 96 130 131 132 133 134 135 136 137 138 172 173 174 175 176 + 177 178 179 180 MAT 1 KINEM linear" + - "27 SOLID NURBS27 91 92 93 94 95 96 97 98 99 133 134 135 136 137 138 139 140 141 175 176 177 178 179 + 180 181 182 183 MAT 1 KINEM linear" + - "28 SOLID NURBS27 94 95 96 97 98 99 100 101 102 136 137 138 139 140 141 142 143 144 178 179 180 181 + 182 183 184 185 186 MAT 1 KINEM linear" + - "29 SOLID NURBS27 97 98 99 100 101 102 103 104 105 139 140 141 142 143 144 145 146 147 181 182 183 + 184 185 186 187 188 189 MAT 1 KINEM linear" + - "30 SOLID NURBS27 100 101 102 103 104 105 106 107 108 142 143 144 145 146 147 148 149 150 184 185 + 186 187 188 189 190 191 192 MAT 1 KINEM linear" + - "31 SOLID NURBS27 103 104 105 106 107 108 109 110 111 145 146 147 148 149 150 151 152 153 187 188 + 189 190 191 192 193 194 195 MAT 1 KINEM linear" + - "32 SOLID NURBS27 106 107 108 109 110 111 112 113 114 148 149 150 151 152 153 154 155 156 190 191 + 192 193 194 195 196 197 198 MAT 1 KINEM linear" + - "33 SOLID NURBS27 109 110 111 112 113 114 115 116 117 151 152 153 154 155 156 157 158 159 193 194 + 195 196 197 198 199 200 201 MAT 1 KINEM linear" + - "34 SOLID NURBS27 112 113 114 115 116 117 118 119 120 154 155 156 157 158 159 160 161 162 196 197 + 198 199 200 201 202 203 204 MAT 1 KINEM linear" + - "35 SOLID NURBS27 115 116 117 118 119 120 121 122 123 157 158 159 160 161 162 163 164 165 199 200 + 201 202 203 204 205 206 207 MAT 1 KINEM linear" + - "36 SOLID NURBS27 118 119 120 121 122 123 124 125 126 160 161 162 163 164 165 166 167 168 202 203 + 204 205 206 207 208 209 210 MAT 1 KINEM linear" + - "37 SOLID NURBS27 127 128 129 130 131 132 133 134 135 169 170 171 172 173 174 175 176 177 211 212 + 213 214 215 216 217 218 219 MAT 1 KINEM linear" + - "38 SOLID NURBS27 130 131 132 133 134 135 136 137 138 172 173 174 175 176 177 178 179 180 214 215 + 216 217 218 219 220 221 222 MAT 1 KINEM linear" + - "39 SOLID NURBS27 133 134 135 136 137 138 139 140 141 175 176 177 178 179 180 181 182 183 217 218 + 219 220 221 222 223 224 225 MAT 1 KINEM linear" + - "40 SOLID NURBS27 136 137 138 139 140 141 142 143 144 178 179 180 181 182 183 184 185 186 220 221 + 222 223 224 225 226 227 228 MAT 1 KINEM linear" + - "41 SOLID NURBS27 139 140 141 142 143 144 145 146 147 181 182 183 184 185 186 187 188 189 223 224 + 225 226 227 228 229 230 231 MAT 1 KINEM linear" + - "42 SOLID NURBS27 142 143 144 145 146 147 148 149 150 184 185 186 187 188 189 190 191 192 226 227 + 228 229 230 231 232 233 234 MAT 1 KINEM linear" + - "43 SOLID NURBS27 145 146 147 148 149 150 151 152 153 187 188 189 190 191 192 193 194 195 229 230 + 231 232 233 234 235 236 237 MAT 1 KINEM linear" + - "44 SOLID NURBS27 148 149 150 151 152 153 154 155 156 190 191 192 193 194 195 196 197 198 232 233 + 234 235 236 237 238 239 240 MAT 1 KINEM linear" + - "45 SOLID NURBS27 151 152 153 154 155 156 157 158 159 193 194 195 196 197 198 199 200 201 235 236 + 237 238 239 240 241 242 243 MAT 1 KINEM linear" + - "46 SOLID NURBS27 154 155 156 157 158 159 160 161 162 196 197 198 199 200 201 202 203 204 238 239 + 240 241 242 243 244 245 246 MAT 1 KINEM linear" + - "47 SOLID NURBS27 157 158 159 160 161 162 163 164 165 199 200 201 202 203 204 205 206 207 241 242 + 243 244 245 246 247 248 249 MAT 1 KINEM linear" + - "48 SOLID NURBS27 160 161 162 163 164 165 166 167 168 202 203 204 205 206 207 208 209 210 244 245 + 246 247 248 249 250 251 252 MAT 1 KINEM linear" + - "49 SOLID NURBS27 169 170 171 172 173 174 175 176 177 211 212 213 214 215 216 217 218 219 253 254 + 255 256 257 258 259 260 261 MAT 1 KINEM linear" + - "50 SOLID NURBS27 172 173 174 175 176 177 178 179 180 214 215 216 217 218 219 220 221 222 256 257 + 258 259 260 261 262 263 264 MAT 1 KINEM linear" + - "51 SOLID NURBS27 175 176 177 178 179 180 181 182 183 217 218 219 220 221 222 223 224 225 259 260 + 261 262 263 264 265 266 267 MAT 1 KINEM linear" + - "52 SOLID NURBS27 178 179 180 181 182 183 184 185 186 220 221 222 223 224 225 226 227 228 262 263 + 264 265 266 267 268 269 270 MAT 1 KINEM linear" + - "53 SOLID NURBS27 181 182 183 184 185 186 187 188 189 223 224 225 226 227 228 229 230 231 265 266 + 267 268 269 270 271 272 273 MAT 1 KINEM linear" + - "54 SOLID NURBS27 184 185 186 187 188 189 190 191 192 226 227 228 229 230 231 232 233 234 268 269 + 270 271 272 273 274 275 276 MAT 1 KINEM linear" + - "55 SOLID NURBS27 187 188 189 190 191 192 193 194 195 229 230 231 232 233 234 235 236 237 271 272 + 273 274 275 276 277 278 279 MAT 1 KINEM linear" + - "56 SOLID NURBS27 190 191 192 193 194 195 196 197 198 232 233 234 235 236 237 238 239 240 274 275 + 276 277 278 279 280 281 282 MAT 1 KINEM linear" + - "57 SOLID NURBS27 193 194 195 196 197 198 199 200 201 235 236 237 238 239 240 241 242 243 277 278 + 279 280 281 282 283 284 285 MAT 1 KINEM linear" + - "58 SOLID NURBS27 196 197 198 199 200 201 202 203 204 238 239 240 241 242 243 244 245 246 280 281 + 282 283 284 285 286 287 288 MAT 1 KINEM linear" + - "59 SOLID NURBS27 199 200 201 202 203 204 205 206 207 241 242 243 244 245 246 247 248 249 283 284 + 285 286 287 288 289 290 291 MAT 1 KINEM linear" + - "60 SOLID NURBS27 202 203 204 205 206 207 208 209 210 244 245 246 247 248 249 250 251 252 286 287 + 288 289 290 291 292 293 294 MAT 1 KINEM linear" + - "61 SOLID NURBS27 211 212 213 214 215 216 217 218 219 253 254 255 256 257 258 259 260 261 295 296 + 297 298 299 300 301 302 303 MAT 1 KINEM linear" + - "62 SOLID NURBS27 214 215 216 217 218 219 220 221 222 256 257 258 259 260 261 262 263 264 298 299 + 300 301 302 303 304 305 306 MAT 1 KINEM linear" + - "63 SOLID NURBS27 217 218 219 220 221 222 223 224 225 259 260 261 262 263 264 265 266 267 301 302 + 303 304 305 306 307 308 309 MAT 1 KINEM linear" + - "64 SOLID NURBS27 220 221 222 223 224 225 226 227 228 262 263 264 265 266 267 268 269 270 304 305 + 306 307 308 309 310 311 312 MAT 1 KINEM linear" + - "65 SOLID NURBS27 223 224 225 226 227 228 229 230 231 265 266 267 268 269 270 271 272 273 307 308 + 309 310 311 312 313 314 315 MAT 1 KINEM linear" + - "66 SOLID NURBS27 226 227 228 229 230 231 232 233 234 268 269 270 271 272 273 274 275 276 310 311 + 312 313 314 315 316 317 318 MAT 1 KINEM linear" + - "67 SOLID NURBS27 229 230 231 232 233 234 235 236 237 271 272 273 274 275 276 277 278 279 313 314 + 315 316 317 318 319 320 321 MAT 1 KINEM linear" + - "68 SOLID NURBS27 232 233 234 235 236 237 238 239 240 274 275 276 277 278 279 280 281 282 316 317 + 318 319 320 321 322 323 324 MAT 1 KINEM linear" + - "69 SOLID NURBS27 235 236 237 238 239 240 241 242 243 277 278 279 280 281 282 283 284 285 319 320 + 321 322 323 324 325 326 327 MAT 1 KINEM linear" + - "70 SOLID NURBS27 238 239 240 241 242 243 244 245 246 280 281 282 283 284 285 286 287 288 322 323 + 324 325 326 327 328 329 330 MAT 1 KINEM linear" + - "71 SOLID NURBS27 241 242 243 244 245 246 247 248 249 283 284 285 286 287 288 289 290 291 325 326 + 327 328 329 330 331 332 333 MAT 1 KINEM linear" + - "72 SOLID NURBS27 244 245 246 247 248 249 250 251 252 286 287 288 289 290 291 292 293 294 328 329 + 330 331 332 333 334 335 336 MAT 1 KINEM linear" + - "73 SOLID NURBS27 253 254 255 256 257 258 259 260 261 295 296 297 298 299 300 301 302 303 337 338 + 339 340 341 342 343 344 345 MAT 1 KINEM linear" + - "74 SOLID NURBS27 256 257 258 259 260 261 262 263 264 298 299 300 301 302 303 304 305 306 340 341 + 342 343 344 345 346 347 348 MAT 1 KINEM linear" + - "75 SOLID NURBS27 259 260 261 262 263 264 265 266 267 301 302 303 304 305 306 307 308 309 343 344 + 345 346 347 348 349 350 351 MAT 1 KINEM linear" + - "76 SOLID NURBS27 262 263 264 265 266 267 268 269 270 304 305 306 307 308 309 310 311 312 346 347 + 348 349 350 351 352 353 354 MAT 1 KINEM linear" + - "77 SOLID NURBS27 265 266 267 268 269 270 271 272 273 307 308 309 310 311 312 313 314 315 349 350 + 351 352 353 354 355 356 357 MAT 1 KINEM linear" + - "78 SOLID NURBS27 268 269 270 271 272 273 274 275 276 310 311 312 313 314 315 316 317 318 352 353 + 354 355 356 357 358 359 360 MAT 1 KINEM linear" + - "79 SOLID NURBS27 271 272 273 274 275 276 277 278 279 313 314 315 316 317 318 319 320 321 355 356 + 357 358 359 360 361 362 363 MAT 1 KINEM linear" + - "80 SOLID NURBS27 274 275 276 277 278 279 280 281 282 316 317 318 319 320 321 322 323 324 358 359 + 360 361 362 363 364 365 366 MAT 1 KINEM linear" + - "81 SOLID NURBS27 277 278 279 280 281 282 283 284 285 319 320 321 322 323 324 325 326 327 361 362 + 363 364 365 366 367 368 369 MAT 1 KINEM linear" + - "82 SOLID NURBS27 280 281 282 283 284 285 286 287 288 322 323 324 325 326 327 328 329 330 364 365 + 366 367 368 369 370 371 372 MAT 1 KINEM linear" + - "83 SOLID NURBS27 283 284 285 286 287 288 289 290 291 325 326 327 328 329 330 331 332 333 367 368 + 369 370 371 372 373 374 375 MAT 1 KINEM linear" + - "84 SOLID NURBS27 286 287 288 289 290 291 292 293 294 328 329 330 331 332 333 334 335 336 370 371 + 372 373 374 375 376 377 378 MAT 1 KINEM linear" + - "85 SOLID NURBS27 295 296 297 298 299 300 301 302 303 337 338 339 340 341 342 343 344 345 379 380 + 381 382 383 384 385 386 387 MAT 1 KINEM linear" + - "86 SOLID NURBS27 298 299 300 301 302 303 304 305 306 340 341 342 343 344 345 346 347 348 382 383 + 384 385 386 387 388 389 390 MAT 1 KINEM linear" + - "87 SOLID NURBS27 301 302 303 304 305 306 307 308 309 343 344 345 346 347 348 349 350 351 385 386 + 387 388 389 390 391 392 393 MAT 1 KINEM linear" + - "88 SOLID NURBS27 304 305 306 307 308 309 310 311 312 346 347 348 349 350 351 352 353 354 388 389 + 390 391 392 393 394 395 396 MAT 1 KINEM linear" + - "89 SOLID NURBS27 307 308 309 310 311 312 313 314 315 349 350 351 352 353 354 355 356 357 391 392 + 393 394 395 396 397 398 399 MAT 1 KINEM linear" + - "90 SOLID NURBS27 310 311 312 313 314 315 316 317 318 352 353 354 355 356 357 358 359 360 394 395 + 396 397 398 399 400 401 402 MAT 1 KINEM linear" + - "91 SOLID NURBS27 313 314 315 316 317 318 319 320 321 355 356 357 358 359 360 361 362 363 397 398 + 399 400 401 402 403 404 405 MAT 1 KINEM linear" + - "92 SOLID NURBS27 316 317 318 319 320 321 322 323 324 358 359 360 361 362 363 364 365 366 400 401 + 402 403 404 405 406 407 408 MAT 1 KINEM linear" + - "93 SOLID NURBS27 319 320 321 322 323 324 325 326 327 361 362 363 364 365 366 367 368 369 403 404 + 405 406 407 408 409 410 411 MAT 1 KINEM linear" + - "94 SOLID NURBS27 322 323 324 325 326 327 328 329 330 364 365 366 367 368 369 370 371 372 406 407 + 408 409 410 411 412 413 414 MAT 1 KINEM linear" + - "95 SOLID NURBS27 325 326 327 328 329 330 331 332 333 367 368 369 370 371 372 373 374 375 409 410 + 411 412 413 414 415 416 417 MAT 1 KINEM linear" + - "96 SOLID NURBS27 328 329 330 331 332 333 334 335 336 370 371 372 373 374 375 376 377 378 412 413 + 414 415 416 417 418 419 420 MAT 1 KINEM linear" + - "97 SOLID HEX8 421 422 423 424 425 426 427 428 MAT 3 KINEM linear" + - "98 SOLID HEX8 429 424 430 431 432 428 433 434 MAT 3 KINEM linear" + - "99 SOLID HEX8 435 431 436 437 438 434 439 440 MAT 3 KINEM linear" + - "100 SOLID HEX8 441 437 442 443 444 440 445 446 MAT 3 KINEM linear" + - 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"NODE 603 DVOL 3" + - "NODE 604 DVOL 3" + - "NODE 605 DVOL 3" + - "NODE 606 DVOL 3" + - "NODE 607 DVOL 3" + - "NODE 608 DVOL 3" + - "NODE 609 DVOL 3" + - "NODE 610 DVOL 3" + - "NODE 611 DVOL 3" + - "NODE 612 DVOL 3" + - "NODE 613 DVOL 3" + - "NODE 614 DVOL 3" + - "NODE 615 DVOL 3" + - "NODE 616 DVOL 3" + - "NODE 617 DVOL 3" + - "NODE 618 DVOL 3" + - "NODE 619 DVOL 3" + - "NODE 620 DVOL 3" + - "NODE 621 DVOL 3" + - "NODE 622 DVOL 3" + - "NODE 623 DVOL 3" + - "NODE 624 DVOL 3" + - "NODE 625 DVOL 3" + - "NODE 626 DVOL 3" + - "NODE 627 DVOL 3" + - "NODE 628 DVOL 3" + - "NODE 629 DVOL 3" + - "NODE 630 DVOL 3" diff --git a/tests/input_files/embeddedmesh_nitsche_bending_beam_nonlinear_kinem.4C.yaml b/tests/input_files/embeddedmesh_nitsche_bending_beam_nonlinear_kinem.4C.yaml new file mode 100644 index 00000000000..23f21ce2565 --- /dev/null +++ b/tests/input_files/embeddedmesh_nitsche_bending_beam_nonlinear_kinem.4C.yaml @@ -0,0 +1,2312 @@ +TITLE: + ? "Beam subjected to bending. The equivalent moment applied at both ends is M = 0.01667, this is acchieved + by adding a varying linear force of p = 0.2*y. " + : {} +PROBLEM TYPE: + PROBLEMTYPE: "Structure" + SHAPEFCT: "Nurbs" +CONSTRAINT/EMBEDDED MESH COUPLING: + COUPLING_STRATEGY: "nitsche" + NITSCHE_STABILIZATION_PARAM: 1000 + NITSCHE_WEIGHTING_PARAM: 0.5 +CUT GENERAL: + KERNEL_INTERSECTION_FLOATTYPE: "cln" + KERNEL_DISTANCE_FLOATTYPE: "cln" + GENERAL_POSITION_DISTANCE_FLOATTYPE: "double" + GENERAL_POSITION_POSITION_FLOATTYPE: "double" + DO_SELFCUT: false + BOUNDARYCELL_CUBATURDEGREE: 1 + INTEGRATE_INSIDE_CELLS: false +IO: + OUTPUT_BIN: true + STRUCT_DISP: true +IO/RUNTIME VTK OUTPUT: + INTERVAL_STEPS: 1 + OUTPUT_DATA_FORMAT: "binary" + EVERY_ITERATION: false +IO/RUNTIME VTK OUTPUT/STRUCTURE: + OUTPUT_STRUCTURE: true + DISPLACEMENT: true + ELEMENT_OWNER: true + ELEMENT_GID: true + ELEMENT_GHOSTING: false + STRESS_STRAIN: false +MESH PARTITIONING: + METHOD: "monolithic" +SOLVER 1: + NAME: "Struct_Solver" + SOLVER: "Superlu" +STRUCTURAL DYNAMIC: + INT_STRATEGY: "Standard" + LINEAR_SOLVER: 1 + DYNAMICTYPE: "Statics" + RESULTSEVERY: 1 + NLNSOL: "fullnewton" + TIMESTEP: 0.1 + NUMSTEP: 1 + MAXTIME: 1.0 + M_DAMP: 1e-05 + K_DAMP: 1e-05 + TOLRES: 1e-09 + TOLDISP: 1e-08 + PREDICT: "TangDis" + NORM_RESF: "Abs" + NORM_DISP: "Abs" + NORMCOMBI_RESFDISP: "And" + MAXITER: 40 + DIVERCONT: "stop" +STRUCTURE KNOTVECTORS: + PATCHES: + - KNOT_VECTORS: + - DEGREE: 2 + TYPE: "Interpolated" + KNOTS: [0.0, 0.0, 0.0, 1.0, 1.0, 1.0] + - DEGREE: 2 + TYPE: "Interpolated" + KNOTS: [0.0, 0.0, 0.0, 0.08333333333333333, 0.16666666666666666, 0.25, 0.3333333333333333, 0.41666666666666663, + 0.5, 0.5833333333333333, 0.6666666666666666, 0.75, 0.8333333333333333, 0.9166666666666666, + 1.0, 1.0, 1.0] + - DEGREE: 2 + TYPE: "Interpolated" + KNOTS: [0.0, 0.0, 0.0, 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875, 1.0, 1.0, 1.0] + ID: 1 +XFEM GENERAL: + GMSH_DEBUG_OUT: false + GMSH_CUT_OUT: false + PRINT_OUTPUT: false + VOLUME_GAUSS_POINTS_BY: "Tessellation" +MATERIALS: + - MAT: 1 + MAT_ElastHyper: + NUMMAT: 1 + MATIDS: [2] + DENS: 7.8e-07 + - MAT: 2 + ELAST_CoupSVK: + YOUNG: 50.0 + NUE: 0.0 + - MAT: 3 + MAT_ElastHyper: + NUMMAT: 1 + MATIDS: [4] + DENS: 7.8e-07 + - MAT: 4 + ELAST_CoupSVK: + YOUNG: 50.0 + NUE: 0.0 +DESIGN EMBEDDED MESH SOLID SURF COUPLING CONDITIONS: + - E: 5 + COUPLINGID: 1 +DESIGN EMBEDDED SOLID VOL BACKGROUND CONDITIONS: + - E: 2 + COUPLINGID: 1 + - E: 3 + COUPLINGID: 1 +DESIGN LINE DIRICH CONDITIONS: + - E: 12 + NUMDOF: 3 + ONOFF: [1, 1, 1] + VAL: [0, 0, 0] + FUNCT: [0, 0, 0] + - E: 13 + NUMDOF: 3 + ONOFF: [1, 1, 0] + VAL: [0, 0, 0] + FUNCT: [0, 0, 0] +DESIGN SURF NEUMANN CONDITIONS: + - E: 6 + NUMDOF: 3 + ONOFF: [0, 0, 1] + VAL: [0, 0, 1] + FUNCT: [0, 0, 1] + - E: 7 + NUMDOF: 3 + ONOFF: [0, 0, 1] + VAL: [0, 0, -1] + FUNCT: [0, 0, 1] +FUNCT1: + - COMPONENT: 0 + SYMBOLIC_FUNCTION_OF_SPACE_TIME: "0.2*y" +STRUCTURE ELEMENTS: + - "1 SOLID NURBS27 1 2 3 4 5 6 7 8 9 43 44 45 46 47 48 49 50 51 85 86 87 88 89 90 91 92 93 MAT 1 KINEM + nonlinear" + - "2 SOLID NURBS27 4 5 6 7 8 9 10 11 12 46 47 48 49 50 51 52 53 54 88 89 90 91 92 93 94 95 96 MAT 1 + KINEM nonlinear" + - "3 SOLID NURBS27 7 8 9 10 11 12 13 14 15 49 50 51 52 53 54 55 56 57 91 92 93 94 95 96 97 98 99 MAT + 1 KINEM nonlinear" + - "4 SOLID NURBS27 10 11 12 13 14 15 16 17 18 52 53 54 55 56 57 58 59 60 94 95 96 97 98 99 100 101 102 + MAT 1 KINEM nonlinear" + - "5 SOLID NURBS27 13 14 15 16 17 18 19 20 21 55 56 57 58 59 60 61 62 63 97 98 99 100 101 102 103 104 + 105 MAT 1 KINEM nonlinear" + - "6 SOLID NURBS27 16 17 18 19 20 21 22 23 24 58 59 60 61 62 63 64 65 66 100 101 102 103 104 105 106 + 107 108 MAT 1 KINEM nonlinear" + - "7 SOLID NURBS27 19 20 21 22 23 24 25 26 27 61 62 63 64 65 66 67 68 69 103 104 105 106 107 108 109 + 110 111 MAT 1 KINEM nonlinear" + - "8 SOLID NURBS27 22 23 24 25 26 27 28 29 30 64 65 66 67 68 69 70 71 72 106 107 108 109 110 111 112 + 113 114 MAT 1 KINEM nonlinear" + - "9 SOLID NURBS27 25 26 27 28 29 30 31 32 33 67 68 69 70 71 72 73 74 75 109 110 111 112 113 114 115 + 116 117 MAT 1 KINEM nonlinear" + - "10 SOLID NURBS27 28 29 30 31 32 33 34 35 36 70 71 72 73 74 75 76 77 78 112 113 114 115 116 117 118 + 119 120 MAT 1 KINEM nonlinear" + - "11 SOLID NURBS27 31 32 33 34 35 36 37 38 39 73 74 75 76 77 78 79 80 81 115 116 117 118 119 120 121 + 122 123 MAT 1 KINEM nonlinear" + - "12 SOLID NURBS27 34 35 36 37 38 39 40 41 42 76 77 78 79 80 81 82 83 84 118 119 120 121 122 123 124 + 125 126 MAT 1 KINEM nonlinear" + - "13 SOLID NURBS27 43 44 45 46 47 48 49 50 51 85 86 87 88 89 90 91 92 93 127 128 129 130 131 132 133 + 134 135 MAT 1 KINEM nonlinear" + - "14 SOLID NURBS27 46 47 48 49 50 51 52 53 54 88 89 90 91 92 93 94 95 96 130 131 132 133 134 135 136 + 137 138 MAT 1 KINEM nonlinear" + - "15 SOLID NURBS27 49 50 51 52 53 54 55 56 57 91 92 93 94 95 96 97 98 99 133 134 135 136 137 138 139 + 140 141 MAT 1 KINEM nonlinear" + - "16 SOLID NURBS27 52 53 54 55 56 57 58 59 60 94 95 96 97 98 99 100 101 102 136 137 138 139 140 141 + 142 143 144 MAT 1 KINEM nonlinear" + - "17 SOLID NURBS27 55 56 57 58 59 60 61 62 63 97 98 99 100 101 102 103 104 105 139 140 141 142 143 + 144 145 146 147 MAT 1 KINEM nonlinear" + - "18 SOLID NURBS27 58 59 60 61 62 63 64 65 66 100 101 102 103 104 105 106 107 108 142 143 144 145 146 + 147 148 149 150 MAT 1 KINEM nonlinear" + - "19 SOLID NURBS27 61 62 63 64 65 66 67 68 69 103 104 105 106 107 108 109 110 111 145 146 147 148 149 + 150 151 152 153 MAT 1 KINEM nonlinear" + - "20 SOLID NURBS27 64 65 66 67 68 69 70 71 72 106 107 108 109 110 111 112 113 114 148 149 150 151 152 + 153 154 155 156 MAT 1 KINEM nonlinear" + - "21 SOLID NURBS27 67 68 69 70 71 72 73 74 75 109 110 111 112 113 114 115 116 117 151 152 153 154 155 + 156 157 158 159 MAT 1 KINEM nonlinear" + - "22 SOLID NURBS27 70 71 72 73 74 75 76 77 78 112 113 114 115 116 117 118 119 120 154 155 156 157 158 + 159 160 161 162 MAT 1 KINEM nonlinear" + - "23 SOLID NURBS27 73 74 75 76 77 78 79 80 81 115 116 117 118 119 120 121 122 123 157 158 159 160 161 + 162 163 164 165 MAT 1 KINEM nonlinear" + - "24 SOLID NURBS27 76 77 78 79 80 81 82 83 84 118 119 120 121 122 123 124 125 126 160 161 162 163 164 + 165 166 167 168 MAT 1 KINEM nonlinear" + - "25 SOLID NURBS27 85 86 87 88 89 90 91 92 93 127 128 129 130 131 132 133 134 135 169 170 171 172 173 + 174 175 176 177 MAT 1 KINEM nonlinear" + - "26 SOLID NURBS27 88 89 90 91 92 93 94 95 96 130 131 132 133 134 135 136 137 138 172 173 174 175 176 + 177 178 179 180 MAT 1 KINEM nonlinear" + - "27 SOLID NURBS27 91 92 93 94 95 96 97 98 99 133 134 135 136 137 138 139 140 141 175 176 177 178 179 + 180 181 182 183 MAT 1 KINEM nonlinear" + - "28 SOLID NURBS27 94 95 96 97 98 99 100 101 102 136 137 138 139 140 141 142 143 144 178 179 180 181 + 182 183 184 185 186 MAT 1 KINEM nonlinear" + - "29 SOLID NURBS27 97 98 99 100 101 102 103 104 105 139 140 141 142 143 144 145 146 147 181 182 183 + 184 185 186 187 188 189 MAT 1 KINEM nonlinear" + - "30 SOLID NURBS27 100 101 102 103 104 105 106 107 108 142 143 144 145 146 147 148 149 150 184 185 + 186 187 188 189 190 191 192 MAT 1 KINEM nonlinear" + - "31 SOLID NURBS27 103 104 105 106 107 108 109 110 111 145 146 147 148 149 150 151 152 153 187 188 + 189 190 191 192 193 194 195 MAT 1 KINEM nonlinear" + - "32 SOLID NURBS27 106 107 108 109 110 111 112 113 114 148 149 150 151 152 153 154 155 156 190 191 + 192 193 194 195 196 197 198 MAT 1 KINEM nonlinear" + - "33 SOLID NURBS27 109 110 111 112 113 114 115 116 117 151 152 153 154 155 156 157 158 159 193 194 + 195 196 197 198 199 200 201 MAT 1 KINEM nonlinear" + - "34 SOLID NURBS27 112 113 114 115 116 117 118 119 120 154 155 156 157 158 159 160 161 162 196 197 + 198 199 200 201 202 203 204 MAT 1 KINEM nonlinear" + - "35 SOLID NURBS27 115 116 117 118 119 120 121 122 123 157 158 159 160 161 162 163 164 165 199 200 + 201 202 203 204 205 206 207 MAT 1 KINEM nonlinear" + - "36 SOLID NURBS27 118 119 120 121 122 123 124 125 126 160 161 162 163 164 165 166 167 168 202 203 + 204 205 206 207 208 209 210 MAT 1 KINEM nonlinear" + - "37 SOLID NURBS27 127 128 129 130 131 132 133 134 135 169 170 171 172 173 174 175 176 177 211 212 + 213 214 215 216 217 218 219 MAT 1 KINEM nonlinear" + - "38 SOLID NURBS27 130 131 132 133 134 135 136 137 138 172 173 174 175 176 177 178 179 180 214 215 + 216 217 218 219 220 221 222 MAT 1 KINEM nonlinear" + - "39 SOLID NURBS27 133 134 135 136 137 138 139 140 141 175 176 177 178 179 180 181 182 183 217 218 + 219 220 221 222 223 224 225 MAT 1 KINEM nonlinear" + - "40 SOLID NURBS27 136 137 138 139 140 141 142 143 144 178 179 180 181 182 183 184 185 186 220 221 + 222 223 224 225 226 227 228 MAT 1 KINEM nonlinear" + - "41 SOLID NURBS27 139 140 141 142 143 144 145 146 147 181 182 183 184 185 186 187 188 189 223 224 + 225 226 227 228 229 230 231 MAT 1 KINEM nonlinear" + - "42 SOLID NURBS27 142 143 144 145 146 147 148 149 150 184 185 186 187 188 189 190 191 192 226 227 + 228 229 230 231 232 233 234 MAT 1 KINEM nonlinear" + - "43 SOLID NURBS27 145 146 147 148 149 150 151 152 153 187 188 189 190 191 192 193 194 195 229 230 + 231 232 233 234 235 236 237 MAT 1 KINEM nonlinear" + - "44 SOLID NURBS27 148 149 150 151 152 153 154 155 156 190 191 192 193 194 195 196 197 198 232 233 + 234 235 236 237 238 239 240 MAT 1 KINEM nonlinear" + - "45 SOLID NURBS27 151 152 153 154 155 156 157 158 159 193 194 195 196 197 198 199 200 201 235 236 + 237 238 239 240 241 242 243 MAT 1 KINEM nonlinear" + - "46 SOLID NURBS27 154 155 156 157 158 159 160 161 162 196 197 198 199 200 201 202 203 204 238 239 + 240 241 242 243 244 245 246 MAT 1 KINEM nonlinear" + - "47 SOLID NURBS27 157 158 159 160 161 162 163 164 165 199 200 201 202 203 204 205 206 207 241 242 + 243 244 245 246 247 248 249 MAT 1 KINEM nonlinear" + - "48 SOLID NURBS27 160 161 162 163 164 165 166 167 168 202 203 204 205 206 207 208 209 210 244 245 + 246 247 248 249 250 251 252 MAT 1 KINEM nonlinear" + - "49 SOLID NURBS27 169 170 171 172 173 174 175 176 177 211 212 213 214 215 216 217 218 219 253 254 + 255 256 257 258 259 260 261 MAT 1 KINEM nonlinear" + - "50 SOLID NURBS27 172 173 174 175 176 177 178 179 180 214 215 216 217 218 219 220 221 222 256 257 + 258 259 260 261 262 263 264 MAT 1 KINEM nonlinear" + - "51 SOLID NURBS27 175 176 177 178 179 180 181 182 183 217 218 219 220 221 222 223 224 225 259 260 + 261 262 263 264 265 266 267 MAT 1 KINEM nonlinear" + - "52 SOLID NURBS27 178 179 180 181 182 183 184 185 186 220 221 222 223 224 225 226 227 228 262 263 + 264 265 266 267 268 269 270 MAT 1 KINEM nonlinear" + - "53 SOLID NURBS27 181 182 183 184 185 186 187 188 189 223 224 225 226 227 228 229 230 231 265 266 + 267 268 269 270 271 272 273 MAT 1 KINEM nonlinear" + - "54 SOLID NURBS27 184 185 186 187 188 189 190 191 192 226 227 228 229 230 231 232 233 234 268 269 + 270 271 272 273 274 275 276 MAT 1 KINEM nonlinear" + - "55 SOLID NURBS27 187 188 189 190 191 192 193 194 195 229 230 231 232 233 234 235 236 237 271 272 + 273 274 275 276 277 278 279 MAT 1 KINEM nonlinear" + - "56 SOLID NURBS27 190 191 192 193 194 195 196 197 198 232 233 234 235 236 237 238 239 240 274 275 + 276 277 278 279 280 281 282 MAT 1 KINEM nonlinear" + - "57 SOLID NURBS27 193 194 195 196 197 198 199 200 201 235 236 237 238 239 240 241 242 243 277 278 + 279 280 281 282 283 284 285 MAT 1 KINEM nonlinear" + - "58 SOLID NURBS27 196 197 198 199 200 201 202 203 204 238 239 240 241 242 243 244 245 246 280 281 + 282 283 284 285 286 287 288 MAT 1 KINEM nonlinear" + - "59 SOLID NURBS27 199 200 201 202 203 204 205 206 207 241 242 243 244 245 246 247 248 249 283 284 + 285 286 287 288 289 290 291 MAT 1 KINEM nonlinear" + - "60 SOLID NURBS27 202 203 204 205 206 207 208 209 210 244 245 246 247 248 249 250 251 252 286 287 + 288 289 290 291 292 293 294 MAT 1 KINEM nonlinear" + - "61 SOLID NURBS27 211 212 213 214 215 216 217 218 219 253 254 255 256 257 258 259 260 261 295 296 + 297 298 299 300 301 302 303 MAT 1 KINEM nonlinear" + - "62 SOLID NURBS27 214 215 216 217 218 219 220 221 222 256 257 258 259 260 261 262 263 264 298 299 + 300 301 302 303 304 305 306 MAT 1 KINEM nonlinear" + - "63 SOLID NURBS27 217 218 219 220 221 222 223 224 225 259 260 261 262 263 264 265 266 267 301 302 + 303 304 305 306 307 308 309 MAT 1 KINEM nonlinear" + - "64 SOLID NURBS27 220 221 222 223 224 225 226 227 228 262 263 264 265 266 267 268 269 270 304 305 + 306 307 308 309 310 311 312 MAT 1 KINEM nonlinear" + - "65 SOLID NURBS27 223 224 225 226 227 228 229 230 231 265 266 267 268 269 270 271 272 273 307 308 + 309 310 311 312 313 314 315 MAT 1 KINEM nonlinear" + - "66 SOLID NURBS27 226 227 228 229 230 231 232 233 234 268 269 270 271 272 273 274 275 276 310 311 + 312 313 314 315 316 317 318 MAT 1 KINEM nonlinear" + - "67 SOLID NURBS27 229 230 231 232 233 234 235 236 237 271 272 273 274 275 276 277 278 279 313 314 + 315 316 317 318 319 320 321 MAT 1 KINEM nonlinear" + - "68 SOLID NURBS27 232 233 234 235 236 237 238 239 240 274 275 276 277 278 279 280 281 282 316 317 + 318 319 320 321 322 323 324 MAT 1 KINEM nonlinear" + - "69 SOLID NURBS27 235 236 237 238 239 240 241 242 243 277 278 279 280 281 282 283 284 285 319 320 + 321 322 323 324 325 326 327 MAT 1 KINEM nonlinear" + - "70 SOLID NURBS27 238 239 240 241 242 243 244 245 246 280 281 282 283 284 285 286 287 288 322 323 + 324 325 326 327 328 329 330 MAT 1 KINEM nonlinear" + - "71 SOLID NURBS27 241 242 243 244 245 246 247 248 249 283 284 285 286 287 288 289 290 291 325 326 + 327 328 329 330 331 332 333 MAT 1 KINEM nonlinear" + - "72 SOLID NURBS27 244 245 246 247 248 249 250 251 252 286 287 288 289 290 291 292 293 294 328 329 + 330 331 332 333 334 335 336 MAT 1 KINEM nonlinear" + - "73 SOLID NURBS27 253 254 255 256 257 258 259 260 261 295 296 297 298 299 300 301 302 303 337 338 + 339 340 341 342 343 344 345 MAT 1 KINEM nonlinear" + - "74 SOLID NURBS27 256 257 258 259 260 261 262 263 264 298 299 300 301 302 303 304 305 306 340 341 + 342 343 344 345 346 347 348 MAT 1 KINEM nonlinear" + - "75 SOLID NURBS27 259 260 261 262 263 264 265 266 267 301 302 303 304 305 306 307 308 309 343 344 + 345 346 347 348 349 350 351 MAT 1 KINEM nonlinear" + - "76 SOLID NURBS27 262 263 264 265 266 267 268 269 270 304 305 306 307 308 309 310 311 312 346 347 + 348 349 350 351 352 353 354 MAT 1 KINEM nonlinear" + - "77 SOLID NURBS27 265 266 267 268 269 270 271 272 273 307 308 309 310 311 312 313 314 315 349 350 + 351 352 353 354 355 356 357 MAT 1 KINEM nonlinear" + - "78 SOLID NURBS27 268 269 270 271 272 273 274 275 276 310 311 312 313 314 315 316 317 318 352 353 + 354 355 356 357 358 359 360 MAT 1 KINEM nonlinear" + - "79 SOLID NURBS27 271 272 273 274 275 276 277 278 279 313 314 315 316 317 318 319 320 321 355 356 + 357 358 359 360 361 362 363 MAT 1 KINEM nonlinear" + - "80 SOLID NURBS27 274 275 276 277 278 279 280 281 282 316 317 318 319 320 321 322 323 324 358 359 + 360 361 362 363 364 365 366 MAT 1 KINEM nonlinear" + - "81 SOLID NURBS27 277 278 279 280 281 282 283 284 285 319 320 321 322 323 324 325 326 327 361 362 + 363 364 365 366 367 368 369 MAT 1 KINEM nonlinear" + - "82 SOLID NURBS27 280 281 282 283 284 285 286 287 288 322 323 324 325 326 327 328 329 330 364 365 + 366 367 368 369 370 371 372 MAT 1 KINEM nonlinear" + - "83 SOLID NURBS27 283 284 285 286 287 288 289 290 291 325 326 327 328 329 330 331 332 333 367 368 + 369 370 371 372 373 374 375 MAT 1 KINEM nonlinear" + - "84 SOLID NURBS27 286 287 288 289 290 291 292 293 294 328 329 330 331 332 333 334 335 336 370 371 + 372 373 374 375 376 377 378 MAT 1 KINEM nonlinear" + - "85 SOLID NURBS27 295 296 297 298 299 300 301 302 303 337 338 339 340 341 342 343 344 345 379 380 + 381 382 383 384 385 386 387 MAT 1 KINEM nonlinear" + - "86 SOLID NURBS27 298 299 300 301 302 303 304 305 306 340 341 342 343 344 345 346 347 348 382 383 + 384 385 386 387 388 389 390 MAT 1 KINEM nonlinear" + - "87 SOLID NURBS27 301 302 303 304 305 306 307 308 309 343 344 345 346 347 348 349 350 351 385 386 + 387 388 389 390 391 392 393 MAT 1 KINEM nonlinear" + - "88 SOLID NURBS27 304 305 306 307 308 309 310 311 312 346 347 348 349 350 351 352 353 354 388 389 + 390 391 392 393 394 395 396 MAT 1 KINEM nonlinear" + - "89 SOLID NURBS27 307 308 309 310 311 312 313 314 315 349 350 351 352 353 354 355 356 357 391 392 + 393 394 395 396 397 398 399 MAT 1 KINEM nonlinear" + - "90 SOLID NURBS27 310 311 312 313 314 315 316 317 318 352 353 354 355 356 357 358 359 360 394 395 + 396 397 398 399 400 401 402 MAT 1 KINEM nonlinear" + - "91 SOLID NURBS27 313 314 315 316 317 318 319 320 321 355 356 357 358 359 360 361 362 363 397 398 + 399 400 401 402 403 404 405 MAT 1 KINEM nonlinear" + - "92 SOLID NURBS27 316 317 318 319 320 321 322 323 324 358 359 360 361 362 363 364 365 366 400 401 + 402 403 404 405 406 407 408 MAT 1 KINEM nonlinear" + - "93 SOLID NURBS27 319 320 321 322 323 324 325 326 327 361 362 363 364 365 366 367 368 369 403 404 + 405 406 407 408 409 410 411 MAT 1 KINEM nonlinear" + - "94 SOLID NURBS27 322 323 324 325 326 327 328 329 330 364 365 366 367 368 369 370 371 372 406 407 + 408 409 410 411 412 413 414 MAT 1 KINEM nonlinear" + - "95 SOLID NURBS27 325 326 327 328 329 330 331 332 333 367 368 369 370 371 372 373 374 375 409 410 + 411 412 413 414 415 416 417 MAT 1 KINEM nonlinear" + - "96 SOLID NURBS27 328 329 330 331 332 333 334 335 336 370 371 372 373 374 375 376 377 378 412 413 + 414 415 416 417 418 419 420 MAT 1 KINEM nonlinear" + - "97 SOLID HEX8 421 422 423 424 425 426 427 428 MAT 3 KINEM nonlinear" + - "98 SOLID HEX8 429 424 430 431 432 428 433 434 MAT 3 KINEM nonlinear" + - "99 SOLID HEX8 435 431 436 437 438 434 439 440 MAT 3 KINEM nonlinear" + - "100 SOLID HEX8 441 437 442 443 444 440 445 446 MAT 3 KINEM nonlinear" + - "101 SOLID HEX8 447 443 448 449 450 446 451 452 MAT 3 KINEM nonlinear" + - "102 SOLID HEX8 453 449 454 455 456 452 457 458 MAT 3 KINEM nonlinear" + - "103 SOLID HEX8 459 455 460 461 462 458 463 464 MAT 3 KINEM nonlinear" + - "104 SOLID HEX8 424 423 465 430 428 427 466 433 MAT 3 KINEM nonlinear" + - "105 SOLID HEX8 431 430 467 436 434 433 468 439 MAT 3 KINEM nonlinear" + - "106 SOLID HEX8 437 436 469 442 440 439 470 445 MAT 3 KINEM nonlinear" + - "107 SOLID HEX8 443 442 471 448 446 445 472 451 MAT 3 KINEM nonlinear" + - "108 SOLID HEX8 449 448 473 454 452 451 474 457 MAT 3 KINEM nonlinear" + - "109 SOLID HEX8 455 454 475 460 458 457 476 463 MAT 3 KINEM nonlinear" + - "110 SOLID HEX8 423 477 478 465 427 479 480 466 MAT 3 KINEM nonlinear" + - "111 SOLID HEX8 430 465 481 467 433 466 482 468 MAT 3 KINEM nonlinear" + - "112 SOLID HEX8 436 467 483 469 439 468 484 470 MAT 3 KINEM nonlinear" + - "113 SOLID HEX8 442 469 485 471 445 470 486 472 MAT 3 KINEM nonlinear" + - "114 SOLID HEX8 448 471 487 473 451 472 488 474 MAT 3 KINEM nonlinear" + - "115 SOLID HEX8 454 473 489 475 457 474 490 476 MAT 3 KINEM nonlinear" + - "116 SOLID HEX8 460 475 491 492 463 476 493 494 MAT 3 KINEM nonlinear" + - "117 SOLID HEX8 465 478 495 481 466 480 496 482 MAT 3 KINEM nonlinear" + - "118 SOLID HEX8 467 481 497 483 468 482 498 484 MAT 3 KINEM nonlinear" + - "119 SOLID HEX8 469 483 499 485 470 484 500 486 MAT 3 KINEM nonlinear" + - "120 SOLID HEX8 471 485 501 487 472 486 502 488 MAT 3 KINEM nonlinear" + - "121 SOLID HEX8 473 487 503 489 474 488 504 490 MAT 3 KINEM nonlinear" + - "122 SOLID HEX8 475 489 505 491 476 490 506 493 MAT 3 KINEM nonlinear" + - "123 SOLID HEX8 478 507 508 495 480 509 510 496 MAT 3 KINEM nonlinear" + - "124 SOLID HEX8 481 495 511 497 482 496 512 498 MAT 3 KINEM nonlinear" + - "125 SOLID HEX8 483 497 513 499 484 498 514 500 MAT 3 KINEM nonlinear" + - "126 SOLID HEX8 485 499 515 501 486 500 516 502 MAT 3 KINEM nonlinear" + - "127 SOLID HEX8 487 501 517 503 488 502 518 504 MAT 3 KINEM nonlinear" + - "128 SOLID HEX8 489 503 519 505 490 504 520 506 MAT 3 KINEM nonlinear" + - "129 SOLID HEX8 491 505 521 522 493 506 523 524 MAT 3 KINEM nonlinear" + - "130 SOLID HEX8 495 508 525 511 496 510 526 512 MAT 3 KINEM nonlinear" + - "131 SOLID HEX8 497 511 527 513 498 512 528 514 MAT 3 KINEM nonlinear" + - "132 SOLID HEX8 499 513 529 515 500 514 530 516 MAT 3 KINEM nonlinear" + - "133 SOLID HEX8 501 515 531 517 502 516 532 518 MAT 3 KINEM nonlinear" + - "134 SOLID HEX8 503 517 533 519 504 518 534 520 MAT 3 KINEM nonlinear" + - "135 SOLID HEX8 505 519 535 521 506 520 536 523 MAT 3 KINEM nonlinear" + - "136 SOLID HEX8 508 537 538 525 510 539 540 526 MAT 3 KINEM nonlinear" + - "137 SOLID HEX8 511 525 541 527 512 526 542 528 MAT 3 KINEM nonlinear" + - "138 SOLID HEX8 513 527 543 529 514 528 544 530 MAT 3 KINEM nonlinear" + - "139 SOLID HEX8 515 529 545 531 516 530 546 532 MAT 3 KINEM nonlinear" + - "140 SOLID HEX8 517 531 547 533 518 532 548 534 MAT 3 KINEM nonlinear" + - "141 SOLID HEX8 519 533 549 535 520 534 550 536 MAT 3 KINEM nonlinear" + - "142 SOLID HEX8 521 535 551 552 523 536 553 554 MAT 3 KINEM nonlinear" + - "143 SOLID HEX8 525 538 555 541 526 540 556 542 MAT 3 KINEM nonlinear" + - "144 SOLID HEX8 527 541 557 543 528 542 558 544 MAT 3 KINEM nonlinear" + - "145 SOLID HEX8 529 543 559 545 530 544 560 546 MAT 3 KINEM nonlinear" + - "146 SOLID HEX8 531 545 561 547 532 546 562 548 MAT 3 KINEM nonlinear" + - "147 SOLID HEX8 533 547 563 549 534 548 564 550 MAT 3 KINEM nonlinear" + - "148 SOLID HEX8 535 549 565 551 536 550 566 553 MAT 3 KINEM nonlinear" + - "149 SOLID HEX8 538 567 568 555 540 569 570 556 MAT 3 KINEM nonlinear" + - "150 SOLID HEX8 541 555 571 557 542 556 572 558 MAT 3 KINEM nonlinear" + - "151 SOLID HEX8 543 557 573 559 544 558 574 560 MAT 3 KINEM nonlinear" + - "152 SOLID HEX8 545 559 575 561 546 560 576 562 MAT 3 KINEM nonlinear" + - "153 SOLID HEX8 547 561 577 563 548 562 578 564 MAT 3 KINEM nonlinear" + - "154 SOLID HEX8 549 563 579 565 550 564 580 566 MAT 3 KINEM nonlinear" + - "155 SOLID HEX8 551 565 581 582 553 566 583 584 MAT 3 KINEM nonlinear" + - "156 SOLID HEX8 555 568 585 571 556 570 586 572 MAT 3 KINEM nonlinear" + - "157 SOLID HEX8 557 571 587 573 558 572 588 574 MAT 3 KINEM nonlinear" + - "158 SOLID HEX8 559 573 589 575 560 574 590 576 MAT 3 KINEM nonlinear" + - "159 SOLID HEX8 561 575 591 577 562 576 592 578 MAT 3 KINEM nonlinear" + - "160 SOLID HEX8 563 577 593 579 564 578 594 580 MAT 3 KINEM nonlinear" + - "161 SOLID HEX8 565 579 595 581 566 580 596 583 MAT 3 KINEM nonlinear" + - "162 SOLID HEX8 568 597 598 585 570 599 600 586 MAT 3 KINEM nonlinear" + - "163 SOLID HEX8 571 585 601 587 572 586 602 588 MAT 3 KINEM nonlinear" + - "164 SOLID HEX8 573 587 603 589 574 588 604 590 MAT 3 KINEM nonlinear" + - "165 SOLID HEX8 575 589 605 591 576 590 606 592 MAT 3 KINEM nonlinear" + - "166 SOLID HEX8 577 591 607 593 578 592 608 594 MAT 3 KINEM nonlinear" + - "167 SOLID HEX8 579 593 609 595 580 594 610 596 MAT 3 KINEM nonlinear" + - "168 SOLID HEX8 581 595 611 612 583 596 613 614 MAT 3 KINEM nonlinear" + - "169 SOLID HEX8 585 598 615 601 586 600 616 602 MAT 3 KINEM nonlinear" + - "170 SOLID HEX8 587 601 617 603 588 602 618 604 MAT 3 KINEM nonlinear" + - "171 SOLID HEX8 589 603 619 605 590 604 620 606 MAT 3 KINEM nonlinear" + - "172 SOLID HEX8 591 605 621 607 592 606 622 608 MAT 3 KINEM nonlinear" + - "173 SOLID HEX8 593 607 623 609 594 608 624 610 MAT 3 KINEM nonlinear" + - "174 SOLID HEX8 595 609 625 611 596 610 626 613 MAT 3 KINEM nonlinear" + - "175 SOLID WEDGE6 461 460 492 464 463 494 MAT 3 KINEM nonlinear" + - "176 SOLID WEDGE6 492 491 522 494 493 524 MAT 3 KINEM nonlinear" + - "177 SOLID WEDGE6 522 521 552 524 523 554 MAT 3 KINEM nonlinear" + - "178 SOLID WEDGE6 552 551 582 554 553 584 MAT 3 KINEM nonlinear" + - "179 SOLID WEDGE6 582 581 612 584 583 614 MAT 3 KINEM nonlinear" + - "180 SOLID WEDGE6 612 611 627 614 613 628 MAT 3 KINEM nonlinear" + - "181 SOLID WEDGE6 422 477 423 426 479 427 MAT 3 KINEM nonlinear" + - "182 SOLID WEDGE6 477 507 478 479 509 480 MAT 3 KINEM nonlinear" + - "183 SOLID WEDGE6 507 537 508 509 539 510 MAT 3 KINEM nonlinear" + - "184 SOLID WEDGE6 537 567 538 539 569 540 MAT 3 KINEM nonlinear" + - "185 SOLID WEDGE6 567 597 568 569 599 570 MAT 3 KINEM nonlinear" + - "186 SOLID WEDGE6 597 629 598 599 630 600 MAT 3 KINEM nonlinear" + - "187 SOLID WEDGE6 598 629 615 600 630 616 MAT 3 KINEM nonlinear" + - "188 SOLID WEDGE6 601 615 617 602 616 618 MAT 3 KINEM nonlinear" + - "189 SOLID WEDGE6 603 617 619 604 618 620 MAT 3 KINEM nonlinear" + - "190 SOLID WEDGE6 605 619 621 606 620 622 MAT 3 KINEM nonlinear" + - "191 SOLID WEDGE6 607 621 623 608 622 624 MAT 3 KINEM nonlinear" + - "192 SOLID WEDGE6 609 623 625 610 624 626 MAT 3 KINEM nonlinear" + - "193 SOLID WEDGE6 611 625 627 613 626 628 MAT 3 KINEM nonlinear" +NODE COORDS: + - "CP 1 COORD -0.5 -0.5 -1.0 1.0" + - "CP 2 COORD 0.0 -0.5 -1.0 1.0" + - "CP 3 COORD 0.5 -0.5 -1.0 1.0" + - "CP 4 COORD -0.5 -0.4583333333333333 -1.0 1.0" + - "CP 5 COORD 0.0 -0.4583333333333333 -1.0 1.0" + - "CP 6 COORD 0.5 -0.4583333333333333 -1.0 1.0" + - "CP 7 COORD -0.5 -0.375 -1.0 1.0" + - "CP 8 COORD 0.0 -0.375 -1.0 1.0" + - "CP 9 COORD 0.5 -0.375 -1.0 1.0" + - "CP 10 COORD -0.5 -0.29166666666666663 -1.0 1.0" + - "CP 11 COORD 0.0 -0.29166666666666663 -1.0 1.0" + - "CP 12 COORD 0.5 -0.29166666666666663 -1.0 1.0" + - "CP 13 COORD -0.5 -0.20833333333333331 -1.0 1.0" + - "CP 14 COORD 0.0 -0.20833333333333331 -1.0 1.0" + - "CP 15 COORD 0.5 -0.20833333333333331 -1.0 1.0" + - "CP 16 COORD -0.5 -0.125 -1.0 1.0" + - "CP 17 COORD 0.0 -0.125 -1.0 1.0" + - "CP 18 COORD 0.5 -0.125 -1.0 1.0" + - "CP 19 COORD -0.5 -0.04166666666666668 -1.0 1.0" + - "CP 20 COORD 0.0 -0.04166666666666668 -1.0 1.0" + - "CP 21 COORD 0.5 -0.04166666666666668 -1.0 1.0" + - "CP 22 COORD -0.5 0.04166666666666662 -1.0 1.0" + - "CP 23 COORD 0.0 0.04166666666666662 -1.0 1.0" + - "CP 24 COORD 0.5 0.04166666666666662 -1.0 1.0" + - "CP 25 COORD -0.5 0.12499999999999993 -1.0 1.0" + - "CP 26 COORD 0.0 0.12499999999999993 -1.0 1.0" + - "CP 27 COORD 0.5 0.12499999999999993 -1.0 1.0" + - "CP 28 COORD -0.5 0.20833333333333331 -1.0 1.0" + - "CP 29 COORD 0.0 0.20833333333333331 -1.0 1.0" + - "CP 30 COORD 0.5 0.20833333333333331 -1.0 1.0" + - "CP 31 COORD -0.5 0.29166666666666663 -1.0 1.0" + - "CP 32 COORD 0.0 0.29166666666666663 -1.0 1.0" + - "CP 33 COORD 0.5 0.29166666666666663 -1.0 1.0" + - "CP 34 COORD -0.5 0.37499999999999994 -1.0 1.0" + - "CP 35 COORD 0.0 0.37499999999999994 -1.0 1.0" + - "CP 36 COORD 0.5 0.37499999999999994 -1.0 1.0" + - "CP 37 COORD -0.5 0.4583333333333333 -1.0 1.0" + - "CP 38 COORD 0.0 0.4583333333333333 -1.0 1.0" + - "CP 39 COORD 0.5 0.4583333333333333 -1.0 1.0" + - "CP 40 COORD -0.5 0.5 -1.0 1.0" + - "CP 41 COORD 0.0 0.5 -1.0 1.0" + - "CP 42 COORD 0.5 0.5 -1.0 1.0" + - "CP 43 COORD -0.5 -0.5 -0.9578125 1.0" + - "CP 44 COORD 0.0 -0.5 -0.9578125 1.0" + - "CP 45 COORD 0.5 -0.5 -0.9578125 1.0" + - "CP 46 COORD -0.5 -0.4583333333333333 -0.9578125 1.0" + - "CP 47 COORD 0.0 -0.4583333333333333 -0.9578125 1.0" + - "CP 48 COORD 0.5 -0.4583333333333333 -0.9578125 1.0" + - "CP 49 COORD -0.5 -0.375 -0.9578125000000001 1.0" + - "CP 50 COORD 0.0 -0.375 -0.9578125000000001 1.0" + - "CP 51 COORD 0.5 -0.375 -0.9578125000000001 1.0" + - "CP 52 COORD -0.5 -0.29166666666666663 -0.9578125000000001 1.0" + - "CP 53 COORD 0.0 -0.29166666666666663 -0.9578125000000001 1.0" + - "CP 54 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- E: 2 + COUPLINGID: 1 +DESIGN SURF DIRICH CONDITIONS: + - E: 4 + NUMDOF: 3 + ONOFF: [1, 0, 0] + VAL: [0, 0, 0] + FUNCT: [0, 0, 0] + - E: 1 + NUMDOF: 3 + ONOFF: [0, 0, 1] + VAL: [0, 0, 0] + FUNCT: [0, 0, 0] + - E: 7 + NUMDOF: 3 + ONOFF: [1, 0, 0] + VAL: [0, 0, 0] + FUNCT: [0, 0, 0] + - E: 8 + NUMDOF: 3 + ONOFF: [0, 0, 1] + VAL: [0, 0, 0] + FUNCT: [0, 0, 0] + - E: 9 + NUMDOF: 3 + ONOFF: [0, 1, 0] + VAL: [0, 0, 0] + FUNCT: [0, 0, 0] +DESIGN SURF NEUMANN CONDITIONS: + - E: 6 + NUMDOF: 3 + ONOFF: [0, 1, 0] + VAL: [0, -0.01, 0] + FUNCT: [0, 0, 0] +IO: + OUTPUT_BIN: true + STRUCT_DISP: true +IO/RUNTIME VTK OUTPUT: + INTERVAL_STEPS: 1 + OUTPUT_DATA_FORMAT: "binary" + EVERY_ITERATION: false +IO/RUNTIME VTK OUTPUT/STRUCTURE: + OUTPUT_STRUCTURE: true + DISPLACEMENT: true + STRESS_STRAIN: false +MATERIALS: + - MAT: 1 + MAT_ElastHyper: + NUMMAT: 1 + MATIDS: [3] + DENS: 7.8e-07 + - MAT: 3 + ELAST_CoupSVK: + YOUNG: 1 + NUE: 0.0 + - MAT: 2 + MAT_ElastHyper: + NUMMAT: 1 + MATIDS: [4] + DENS: 7.8e-07 + - MAT: 4 + ELAST_CoupSVK: + YOUNG: 1 + NUE: 0.0 +SOLVER 1: + NAME: "Struct_Solver" + SOLVER: "Superlu" +STRUCTURAL DYNAMIC: + INT_STRATEGY: "Standard" + LINEAR_SOLVER: 1 + DYNAMICTYPE: "Statics" + RESULTSEVERY: 1 + NLNSOL: "fullnewton" + TIMESTEP: 1 + NUMSTEP: 1 + MAXTIME: 2.0 + DAMPING: "None" + M_DAMP: 1e-05 + K_DAMP: 1e-05 + TOLRES: 1e-09 + TOLDISP: 1e-08 + PREDICT: "TangDis" + NORM_RESF: "Abs" + NORM_DISP: "Abs" + NORMCOMBI_RESFDISP: "And" + MAXITER: 60 + DIVERCONT: "stop" +STRUCTURE KNOTVECTORS: + PATCHES: + - KNOT_VECTORS: + - DEGREE: 2 + TYPE: "Interpolated" + KNOTS: [0.0, 0.0, 0.0, 1.0, 1.0, 1.0] + - DEGREE: 2 + TYPE: "Interpolated" + KNOTS: [0.0, 0.0, 0.0, 1.0, 1.0, 1.0] + - DEGREE: 2 + TYPE: "Interpolated" + KNOTS: [0.0, 0.0, 0.0, 1.0, 1.0, 1.0] + ID: 1 +XFEM GENERAL: + GMSH_DEBUG_OUT: false + GMSH_CUT_OUT: false + VOLUME_GAUSS_POINTS_BY: "Tessellation" +STRUCTURE ELEMENTS: + - "1 SOLID NURBS27 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 MAT 1 KINEM + nonlinear" + - "2 SOLID HEX8 28 29 30 31 32 33 34 35 MAT 2 KINEM nonlinear" +NODE COORDS: + - "CP 1 COORD -1 4 1 1.0" + - "CP 2 COORD -1 4 0.0 1.0" + - "CP 3 COORD -1 4 -1 1.0" + - "CP 4 COORD 0.0 4 1 1.0" + - "CP 5 COORD 0.0 4 0.0 1.0" + - "CP 6 COORD 0.0 4 -1 1.0" + - "CP 7 COORD 1 4 1 1.0" + - "CP 8 COORD 1 4 0.0 1.0" + - "CP 9 COORD 1 4 -1 1.0" + - "CP 10 COORD -1 3 1 1.0" + - "CP 11 COORD -1 3 0.0 1.0" + - "CP 12 COORD -1 3 -1 1.0" + - "CP 13 COORD 0.0 3 1 1.0" + - "CP 14 COORD 0.0 3 0.0 1.0" + - "CP 15 COORD 0.0 3 -1 1.0" + - "CP 16 COORD 1 3 1 1.0" + - "CP 17 COORD 1 3 0.0 1.0" + - "CP 18 COORD 1 3 -1 1.0" + - "CP 19 COORD -1 2.0 1 1.0" + - "CP 20 COORD -1 2.0 0 1.0" + - "CP 21 COORD -1 2.0 -1 1.0" + - "CP 22 COORD 0.0 2.0 1 1.0" + - "CP 23 COORD 0.0 2.0 0 1.0" + - "CP 24 COORD 0.0 2.0 -1 1.0" + - "CP 25 COORD 1 2.0 1 1.0" + - "CP 26 COORD 1 2.0 0 1.0" + - "CP 27 COORD 1 2.0 -1 1.0" + - "NODE 28 COORD -1 2.5 1" + - "NODE 29 COORD 1 2.5 1" + - "NODE 30 COORD 1 0.5 1" + - 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a/tests/input_files/ref/embeddedmesh_nitsche_two_elements_nurbs27_hex8-vtk-files/structure-00000-0.vtu b/tests/input_files/ref/embeddedmesh_nitsche_two_elements_nurbs27_hex8-vtk-files/structure-00000-0.vtu new file mode 100644 index 00000000000..d475af73149 --- /dev/null +++ b/tests/input_files/ref/embeddedmesh_nitsche_two_elements_nurbs27_hex8-vtk-files/structure-00000-0.vtu @@ -0,0 +1,43 @@ + + + + + + +0.000000000000000e+00 + + + + + + +AQAAAEgDAABIAwAAkgAAAA==eAGFkMENgDAMA/vgwZON6OaswggdAUFyrrAUlQdOr66btLX3G9cn7eih40x1nmv25a+45bQiX9xyltzy6Se6n384c3r/0xmV/JZPP+6Hez689Fv+3sNJf+SJ2/sseeZzv/wVJz8VP+fpyzn7vBtraVf1KzyHebf0cx9a8TvnwUdOxZXDvHm+4srBnzr5A73DV7E= + + + + + +AQAAAIwAAACMAAAAQgAAAA==eAENwwcOgkAAALBjyhBR2QIC/v+RtklDCCEyNjE1M/dmYWll7d3Gh61PX77t7B0cnZxd/Li6ufv18PTy5x9wHAJU + + + +AQAAAAgAAAAIAAAADgAAAA==eAGTZmBgUAZiAAFsAD8= + + + +AQAAAAIAAAACAAAACgAAAA==eAGT5QEAAEgAKg== + + + + + + +AQAAAEgDAABIAwAAEwAAAA==eAFjYBgFoyEwGgKUhgAAA0gAAQ== + + + + + + diff --git a/tests/input_files/ref/embeddedmesh_nitsche_two_elements_nurbs27_hex8-vtk-files/structure-00000.pvtu b/tests/input_files/ref/embeddedmesh_nitsche_two_elements_nurbs27_hex8-vtk-files/structure-00000.pvtu new file mode 100644 index 00000000000..42b7a90ff75 --- /dev/null +++ b/tests/input_files/ref/embeddedmesh_nitsche_two_elements_nurbs27_hex8-vtk-files/structure-00000.pvtu @@ -0,0 +1,15 @@ + + + + + + + + + + + + + diff --git a/tests/input_files/ref/embeddedmesh_nitsche_two_elements_nurbs27_hex8-vtk-files/structure-00001-0.vtu b/tests/input_files/ref/embeddedmesh_nitsche_two_elements_nurbs27_hex8-vtk-files/structure-00001-0.vtu new file mode 100644 index 00000000000..5b6e9284b27 --- /dev/null +++ b/tests/input_files/ref/embeddedmesh_nitsche_two_elements_nurbs27_hex8-vtk-files/structure-00001-0.vtu @@ -0,0 +1,43 @@ + + + + + + +1.000000000000000e+00 + + + + + + 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00000000000..c8c163f8116 --- /dev/null +++ b/tests/input_files/ref/embeddedmesh_nitsche_two_elements_nurbs27_hex8-vtk-files/structure-00001.pvtu @@ -0,0 +1,15 @@ + + + + + + + + + + + + + diff --git a/tests/list_of_tests.cmake b/tests/list_of_tests.cmake index 9300df8c94e..ccea214f06f 100644 --- a/tests/list_of_tests.cmake +++ b/tests/list_of_tests.cmake @@ -648,6 +648,9 @@ four_c_test(TEST_FILE embeddedmesh_block_nurbs27_hex8_wedge6.4C.yaml NP 2) four_c_test(TEST_FILE embeddedmesh_cantilever_beam.4C.yaml NP 1) four_c_test(TEST_FILE embeddedmesh_cut_bar_under_torsion_one_element.4C.yaml NP 1) four_c_test(TEST_FILE embeddedmesh_cut_integrate_bar_hex8_ele_1.4C.yaml NP 1) +four_c_test(TEST_FILE embeddedmesh_nitsche_two_elements_nurbs27_hex8.4C.yaml NP 1) +four_c_test(TEST_FILE embeddedmesh_nitsche_bending_beam_linear_kinem.4C.yaml NP 1) +four_c_test(TEST_FILE embeddedmesh_nitsche_bending_beam_nonlinear_kinem.4C.yaml NP 1) four_c_test(TEST_FILE embeddedmesh_patch_test_block_with_circular_interface.4C.yaml NP 1) four_c_test(TEST_FILE embeddedmesh_patch_test_curved_interfaces_cutinter_nurbs9_background_hex8.4C.yaml NP 1) four_c_test(TEST_FILE embeddedmesh_patch_test_inclined_interfaces_cutinter_nurbs9_background_hex8.4C.yaml NP 1) @@ -2838,6 +2841,9 @@ four_c_test_vtk(embeddedmesh_block_nurbs27_hex8_wedge6-vtk.4C.yaml embeddedmesh_ four_c_test_vtk(embeddedmesh_cantilever_beam-vtk.4C.yaml embeddedmesh_cantilever_beam.4C.yaml 1 xxx-structure.pvd ref/embeddedmesh_cantilever_beam-structure.pvd 1e-06) four_c_test_vtk(embeddedmesh_cut_bar_under_torsion_one_element-vtk.4C.yaml embeddedmesh_cut_bar_under_torsion_one_element.4C.yaml 1 xxx-structure.pvd ref/embeddedmesh_cut_bar_under_torsion_one_element-structure.pvd 1e-06) four_c_test_vtk(embeddedmesh_cut_integrate_bar_hex8_ele_1-vtk.4C.yaml embeddedmesh_cut_integrate_bar_hex8_ele_1.4C.yaml 1 xxx-structure.pvd ref/embeddedmesh_cut_integrate_bar_hex8_ele_1-structure.pvd 1e-06) +four_c_test_vtk(embeddedmesh_nitsche_two_elements_nurbs27_hex8-vtk.4C.yaml embeddedmesh_nitsche_two_elements_nurbs27_hex8.4C.yaml 1 xxx-structure.pvd ref/embeddedmesh_nitsche_two_elements_nurbs27_hex8-structure.pvd 1e-06) +four_c_test_vtk(embeddedmesh_nitsche_bending_beam_linear_kinem-vtk.4C.yaml embeddedmesh_nitsche_bending_beam_linear_kinem.4C.yaml 1 xxx-structure.pvd ref/embeddedmesh_nitsche_bending_beam_linear_kinem-structure.pvd 1e-06) +four_c_test_vtk(embeddedmesh_nitsche_bending_beam_nonlinear_kinem-vtk.4C.yaml embeddedmesh_nitsche_bending_beam_nonlinear_kinem.4C.yaml 1 xxx-structure.pvd ref/embeddedmesh_nitsche_bending_beam_nonlinear_kinem-structure.pvd 1e-06) four_c_test_vtk(embeddedmesh_patch_test_block_with_circular_interface_vtk.4C.yaml embeddedmesh_patch_test_block_with_circular_interface.4C.yaml 1 xxx-structure.pvd ref/embeddedmesh_patch_test_block_with_circular_interface-structure.pvd 1e-6) four_c_test_vtk(embeddedmesh_patch_test_block_with_circular_interface_vtk-lagrange-multipliers.4C.yaml embeddedmesh_patch_test_block_with_circular_interface.4C.yaml 1 xxx-embedded_mesh_lagrange_multipliers.pvd ref/embeddedmesh_patch_test_block_with_circular_interface-embedded_mesh_lagrange_multipliers.pvd 1e-06) four_c_test_vtk(embeddedmesh_patch_test_curved_interfaces_cutinter_nurbs9_background_hex8_vtk.4C.yaml embeddedmesh_patch_test_curved_interfaces_cutinter_nurbs9_background_hex8.4C.yaml 1 xxx-structure.pvd ref/embeddedmesh_patch_test_curved_interfaces_cutinter_nurbs9_background_hex8-structure.pvd 1e-6)