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structural_mechanics_model.cc
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			/**
			* Copyright (©) 2011-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
			* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
			*
			* This file is part of Akantu
			*
			* Akantu is free software: you can redistribute it and/or modify it under the
			* terms of the GNU Lesser General Public License as published by the Free
			* Software Foundation, either version 3 of the License, or (at your option) any
			* later version.
			*
			* Akantu is distributed in the hope that it will be useful, but WITHOUT ANY
			* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
			* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
			* details.
			*
			* You should have received a copy of the GNU Lesser General Public License
			* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
			*/

			/* -------------------------------------------------------------------------- */
			#include "structural_mechanics_model.hh"
			#include "dof_manager.hh"
			#include "integrator_gauss.hh"
			#include "mesh.hh"
			#include "shape_structural.hh"
			#include "sparse_matrix.hh"
			#include "time_step_solver.hh"
			/* -------------------------------------------------------------------------- */
			#include "dumpable_inline_impl.hh"
			#include "dumper_elemental_field.hh"
			#include "dumper_internal_material_field.hh"
			#include "dumper_iohelper_paraview.hh"
			#include "group_manager_inline_impl.hh"
			/* -------------------------------------------------------------------------- */
			#include "structural_element_bernoulli_beam_2.hh"
			#include "structural_element_bernoulli_beam_3.hh"
			#include "structural_element_kirchhoff_shell.hh"
			/* -------------------------------------------------------------------------- */
			// #include "structural_mechanics_model_inline_impl.hh"
			/* -------------------------------------------------------------------------- */

			namespace akantu {

			/* -------------------------------------------------------------------------- */
			inline UInt StructuralMechanicsModel::getNbDegreeOfFreedom(ElementType type) {
			return tuple_dispatch<ElementTypes_t<_ek_structural>>(
			[&](auto && enum_type) {
			constexpr ElementType type = aka::decay_v<decltype(enum_type)>;
			return ElementClass<type>::getNbDegreeOfFreedom();
			},
			type);
			}

			/* -------------------------------------------------------------------------- */
			StructuralMechanicsModel::StructuralMechanicsModel(Mesh & mesh, Int dim,
			const ID & id)
			: Model(mesh, ModelType::_structural_mechanics_model, dim, id), f_m2a(1.0),
			stress("stress", id), element_material("element_material", id),
			set_ID("beam sets", id) {
			AKANTU_DEBUG_IN();

			registerFEEngineObject<MyFEEngineType>("StructuralMechanicsFEEngine", mesh,
			spatial_dimension);

			if (spatial_dimension == 2) {
			nb_degree_of_freedom = 3;
			} else if (spatial_dimension == 3) {
			nb_degree_of_freedom = 6;
			} else {
			AKANTU_TO_IMPLEMENT();
			}

			this->mesh.registerDumper<DumperParaview>("structural_mechanics_model", id,
			true);
			this->mesh.addDumpMesh(mesh, spatial_dimension, _not_ghost, _ek_structural);

			this->initDOFManager();

			this->dumper_default_element_kind = _ek_structural;

			mesh.getElementalData<Real>("extra_normal")
			.initialize(mesh, _element_kind = _ek_structural,
			_nb_component = spatial_dimension, _with_nb_element = true,
			_default_value = 0.);

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			StructuralMechanicsModel::~StructuralMechanicsModel() = default;

			/* -------------------------------------------------------------------------- */
			void StructuralMechanicsModel::initFullImpl(const ModelOptions & options) {
			Model::initFullImpl(options);

			// Initializing stresses
			ElementTypeMap<UInt> stress_components;

			for (auto && type : mesh.elementTypes(_spatial_dimension = _all_dimensions,
			_element_kind = _ek_structural)) {
			// Getting number of components for each element type
			auto nb_components = tuple_dispatch<ElementTypes_t<_ek_structural>>(
			[&](auto && enum_type) {
			constexpr ElementType type = aka::decay_v<decltype(enum_type)>;
			return ElementClass<type>::getNbStressComponents();
			},
			type);

			stress_components(nb_components, type);
			}

			stress.initialize(
			getFEEngine(), _spatial_dimension = _all_dimensions,
			_element_kind = _ek_structural,
			_nb_component = [&stress_components](ElementType type,
			GhostType /unused/) -> UInt {
			return stress_components(type);
			});
			}

			/* -------------------------------------------------------------------------- */

			void StructuralMechanicsModel::initFEEngineBoundary() {
			/// this function should not be reimplemented
			/// we're just avoiding a call to Model::initFEEngineBoundary()
			}

			/* -------------------------------------------------------------------------- */
			void StructuralMechanicsModel::setTimeStep(Real time_step,
			const ID & solver_id) {
			Model::setTimeStep(time_step, solver_id);
			this->mesh.getDumper().setTimeStep(time_step);
			}

			/* -------------------------------------------------------------------------- */
			/* Initialisation */
			/* -------------------------------------------------------------------------- */
			void StructuralMechanicsModel::initSolver(
			TimeStepSolverType time_step_solver_type, NonLinearSolverType /unused/) {
			AKANTU_DEBUG_IN();

			this->allocNodalField(displacement_rotation, nb_degree_of_freedom,
			"displacement");
			this->allocNodalField(external_force, nb_degree_of_freedom, "external_force");
			this->allocNodalField(internal_force, nb_degree_of_freedom, "internal_force");
			this->allocNodalField(blocked_dofs, nb_degree_of_freedom, "blocked_dofs");

			auto & dof_manager = this->getDOFManager();

			if (not dof_manager.hasDOFs("displacement")) {
			dof_manager.registerDOFs("displacement", *displacement_rotation,
			_dst_nodal);
			dof_manager.registerBlockedDOFs("displacement", *this->blocked_dofs);
			}

			if (time_step_solver_type == TimeStepSolverType::_dynamic \|\|
			time_step_solver_type == TimeStepSolverType::_dynamic_lumped) {
			this->allocNodalField(velocity, nb_degree_of_freedom, "velocity");
			this->allocNodalField(acceleration, nb_degree_of_freedom, "acceleration");

			if (!dof_manager.hasDOFsDerivatives("displacement", 1)) {
			dof_manager.registerDOFsDerivative("displacement", 1, *this->velocity);
			dof_manager.registerDOFsDerivative("displacement", 2,
			*this->acceleration);
			}

			/* Only allocate the mass if the "lumped" mode is ennabled.
			* Also it is not a 1D array, but has an element for every
			* DOF, which are most of the time equal, but makes handling
			* some operations a bit simpler. */
			if (time_step_solver_type == TimeStepSolverType::_dynamic_lumped) {
			this->allocateLumpedMassArray();
			}
			}

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			void StructuralMechanicsModel::initModel() {
			element_material.initialize(mesh, _element_kind = _ek_structural,
			_default_value = 0, _with_nb_element = true);

			getFEEngine().initShapeFunctions(_not_ghost);
			getFEEngine().initShapeFunctions(_ghost);
			}

			/* -------------------------------------------------------------------------- */
			void StructuralMechanicsModel::assembleStiffnessMatrix() {
			AKANTU_DEBUG_IN();

			if (not need_to_reassemble_stiffness) {
			return;
			}

			if (not getDOFManager().hasMatrix("K")) {
			getDOFManager().getNewMatrix("K", getMatrixType("K"));
			}

			this->getDOFManager().zeroMatrix("K");

			for (const auto & type :
			mesh.elementTypes(spatial_dimension, _not_ghost, _ek_structural)) {

			tuple_dispatch<ElementTypes_t<_ek_structural>>(
			[&](auto && enum_type) {
			constexpr ElementType type = aka::decay_v<decltype(enum_type)>;
			this->assembleStiffnessMatrix<type>();
			},
			type);
			}

			need_to_reassemble_stiffness = false;

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			void StructuralMechanicsModel::computeStresses() {
			AKANTU_DEBUG_IN();

			for (const auto & type :
			mesh.elementTypes(spatial_dimension, _not_ghost, _ek_structural)) {
			tuple_dispatch<ElementTypes_t<_ek_structural>>(
			[&](auto && enum_type) {
			constexpr ElementType type = aka::decay_v<decltype(enum_type)>;
			this->computeStressOnQuad<type>();
			},
			type);
			}

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			bool StructuralMechanicsModel::allocateLumpedMassArray() {
			this->allocNodalField(this->mass, this->nb_degree_of_freedom, "lumped_mass");

			return true;
			}

			/* -------------------------------------------------------------------------- */
			std::shared_ptr<dumpers::Field> StructuralMechanicsModel::createNodalFieldBool(
			const std::string & field_name, const std::string & group_name,
			__attribute__((unused)) bool padding_flag) {

			std::map<std::string, Array<bool> *> uint_nodal_fields;
			uint_nodal_fields["blocked_dofs"] = blocked_dofs.get();

			return mesh.createNodalField(uint_nodal_fields[field_name], group_name);
			}

			/* -------------------------------------------------------------------------- */
			std::shared_ptr<dumpers::Field>
			StructuralMechanicsModel::createNodalFieldReal(const std::string & field_name,
			const std::string & group_name,
			bool padding_flag) {

			UInt n;
			if (spatial_dimension == 2) {
			n = 2;
			} else {
			n = 3;
			}

			UInt padding_size = 0;
			if (padding_flag) {
			padding_size = 3;
			}

			if (field_name == "displacement") {
			return mesh.createStridedNodalField(displacement_rotation.get(), group_name,
			n, 0, padding_size);
			}

			if (field_name == "velocity") {
			return mesh.createStridedNodalField(velocity.get(), group_name, n, 0,
			padding_size);
			}

			if (field_name == "acceleration") {
			return mesh.createStridedNodalField(acceleration.get(), group_name, n, 0,
			padding_size);
			}

			if (field_name == "rotation") {
			return mesh.createStridedNodalField(displacement_rotation.get(), group_name,
			nb_degree_of_freedom - n, n,
			padding_size);
			}

			if (field_name == "force") {
			return mesh.createStridedNodalField(external_force.get(), group_name, n, 0,
			padding_size);
			}
			if (field_name == "external_force") {
			return mesh.createStridedNodalField(external_force.get(), group_name, n, 0,
			padding_size);
			}

			if (field_name == "momentum") {
			return mesh.createStridedNodalField(external_force.get(), group_name,
			nb_degree_of_freedom - n, n,
			padding_size);
			}

			if (field_name == "internal_force") {
			return mesh.createStridedNodalField(internal_force.get(), group_name, n, 0,
			padding_size);
			}

			if (field_name == "internal_momentum") {
			return mesh.createStridedNodalField(internal_force.get(), group_name,
			nb_degree_of_freedom - n, n,
			padding_size);
			}

			if (field_name == "mass") {
			AKANTU_DEBUG_ASSERT(this->mass.get() != nullptr,
			"The lumped mass matrix was not allocated.");
			return mesh.createStridedNodalField(this->mass.get(), group_name, n, 0,
			padding_size);
			}

			return nullptr;
			}

			/* -------------------------------------------------------------------------- */
			std::shared_ptr<dumpers::Field> StructuralMechanicsModel::createElementalField(
			const std::string & field_name, const std::string & group_name,
			bool /unused/, Int spatial_dimension, ElementKind kind) {

			std::shared_ptr<dumpers::Field> field;

			if (field_name == "element_index_by_material") {
			field =
			mesh.createElementalField<Idx, Vector<Idx>, dumpers::ElementalField>(
			field_name, group_name, spatial_dimension, kind);
			}
			if (field_name == "stress") {
			ElementTypeMap<Int> nb_data_per_elem = this->mesh.getNbDataPerElem(stress);

			field = mesh.createElementalField<Real, dumpers::InternalMaterialField>(
			stress, group_name, this->spatial_dimension, kind, nb_data_per_elem);
			}

			return field;
			}

			/* -------------------------------------------------------------------------- */
			/* Virtual methods from SolverCallback */
			/* -------------------------------------------------------------------------- */
			/// get the type of matrix needed
			MatrixType StructuralMechanicsModel::getMatrixType(const ID & /id/) const {
			return _symmetric;
			}

			/// callback to assemble a Matrix
			void StructuralMechanicsModel::assembleMatrix(const ID & id) {
			if (id == "K") {
			assembleStiffnessMatrix();
			} else if (id == "M") {
			assembleMassMatrix();
			}
			}

			/// callback to assemble a lumped Matrix
			void StructuralMechanicsModel::assembleLumpedMatrix(const ID & id) {
			if ("M" == id) {
			this->assembleLumpedMassMatrix();
			}
			return;
			}

			/// callback to assemble the residual StructuralMechanicsModel::(rhs)
			void StructuralMechanicsModel::assembleResidual() {
			AKANTU_DEBUG_IN();

			auto & dof_manager = getDOFManager();

			assembleInternalForce();

			/* This is essentially a summing up of forces
			* first the external forces are counted for and then stored inside the
			* residual.
			*/
			dof_manager.assembleToResidual("displacement", *external_force, 1);
			dof_manager.assembleToResidual("displacement", *internal_force, 1);

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			void StructuralMechanicsModel::assembleResidual(const ID & residual_part) {
			AKANTU_DEBUG_IN();

			auto & dof_manager = this->getDOFManager();

			if ("external" == residual_part) {
			dof_manager.assembleToResidual("displacement", *this->external_force, 1);
			AKANTU_DEBUG_OUT();
			return;
			}

			if ("internal" == residual_part) {
			this->assembleInternalForce();
			dof_manager.assembleToResidual("displacement", *this->internal_force, 1);
			AKANTU_DEBUG_OUT();
			return;
			}

			AKANTU_CUSTOM_EXCEPTION(
			debug::SolverCallbackResidualPartUnknown(residual_part));

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			/* Virtual methods from Model */
			/* -------------------------------------------------------------------------- */
			/// get some default values for derived classes
			std::tuple<ID, TimeStepSolverType>
			StructuralMechanicsModel::getDefaultSolverID(const AnalysisMethod & method) {
			switch (method) {
			case _static: {
			return std::make_tuple("static", TimeStepSolverType::_static);
			}
			case _implicit_dynamic: {
			return std::make_tuple("implicit", TimeStepSolverType::_dynamic);
			}
			case _explicit_lumped_mass: { // Taken from the solid mechanics part
			return std::make_tuple("explicit_lumped",
			TimeStepSolverType::_dynamic_lumped);
			}
			case _explicit_consistent_mass: { // Taken from the solid mechanics part
			return std::make_tuple("explicit", TimeStepSolverType::_dynamic);
			}
			default:
			std::cout << "UNKOWN." << std::endl;
			return std::make_tuple("unknown", TimeStepSolverType::_not_defined);
			}
			}

			/* ------------------------------------------------------------------------ */
			ModelSolverOptions StructuralMechanicsModel::getDefaultSolverOptions(
			const TimeStepSolverType & type) const {
			ModelSolverOptions options;

			switch (type) {
			case TimeStepSolverType::_dynamic_lumped: { // Taken from the solid mechanic
			// part
			options.non_linear_solver_type = NonLinearSolverType::_lumped;
			options.integration_scheme_type["displacement"] =
			IntegrationSchemeType::_central_difference;
			options.solution_type["displacement"] = IntegrationScheme::_acceleration;
			break;
			}
			case TimeStepSolverType::_static: {
			options.non_linear_solver_type =
			NonLinearSolverType::_newton_raphson; // _linear;
			options.integration_scheme_type["displacement"] =
			IntegrationSchemeType::_pseudo_time;
			options.solution_type["displacement"] = IntegrationScheme::_not_defined;
			break;
			}
			#if 1
			case TimeStepSolverType::_dynamic: { // Copied from solid
			if (this->method == _explicit_consistent_mass) {
			options.non_linear_solver_type = NonLinearSolverType::_newton_raphson;
			options.integration_scheme_type["displacement"] =
			IntegrationSchemeType::_central_difference;
			options.solution_type["displacement"] = IntegrationScheme::_acceleration;
			} else {
			options.non_linear_solver_type = NonLinearSolverType::_newton_raphson;
			options.integration_scheme_type["displacement"] =
			IntegrationSchemeType::_trapezoidal_rule_2;
			options.solution_type["displacement"] = IntegrationScheme::_displacement;
			}
			break;
			}
			#else
			case TimeStepSolverType::_dynamic: { // Original
			options.non_linear_solver_type = NonLinearSolverType::_newton_raphson;
			options.integration_scheme_type["displacement"] =
			IntegrationSchemeType::_trapezoidal_rule_2;
			options.solution_type["displacement"] = IntegrationScheme::_displacement;
			break;
			}
			#endif
			default:
			AKANTU_EXCEPTION(type << " is not a valid time step solver type");
			}

			return options;
			}

			/* -------------------------------------------------------------------------- */
			void StructuralMechanicsModel::assembleInternalForce() {

			internal_force->zero();
			computeStresses();

			for (auto type : mesh.elementTypes(_spatial_dimension = _all_dimensions,
			_element_kind = _ek_structural)) {
			assembleInternalForce(type, _not_ghost);
			// assembleInternalForce(type, _ghost);
			}
			}

			/* -------------------------------------------------------------------------- */
			void StructuralMechanicsModel::assembleInternalForce(ElementType type,
			GhostType gt) {
			auto & fem = getFEEngine();
			auto & sigma = stress(type, gt);
			auto ndof = getNbDegreeOfFreedom(type);
			auto nb_nodes = mesh.getNbNodesPerElement(type);
			auto ndof_per_elem = ndof * nb_nodes;

			Array<Real> BtSigma(fem.getNbIntegrationPoints(type) *
			mesh.getNbElement(type),
			ndof_per_elem, "BtSigma");
			fem.computeBtD(sigma, BtSigma, type, gt);

			Array<Real> intBtSigma(0, ndof_per_elem, "intBtSigma");
			fem.integrate(BtSigma, intBtSigma, ndof_per_elem, type, gt);

			getDOFManager().assembleElementalArrayLocalArray(intBtSigma, *internal_force,
			type, gt, -1.);
			}

			/* -------------------------------------------------------------------------- */
			Real StructuralMechanicsModel::getKineticEnergy() {

			const UInt nb_nodes = mesh.getNbNodes();
			const UInt nb_degree_of_freedom = this->nb_degree_of_freedom;
			Real ekin = 0.; // used to sum up energy (is divided by two at the very end)

			if (this->getDOFManager().hasLumpedMatrix("M")) {
			/* This code computes the kinetic energy for the case when the mass is
			* lumped. It is based on the solid mechanic equivalent.
			*/
			AKANTU_DEBUG_ASSERT(this->mass != nullptr,
			"The lumped mass is not allocated.");

			this->assembleLumpedMatrix("M");

			/* Iterating over all nodes.
			* Important the velocity and mass also contains the rotational parts.
			* However, they can be handled in an uniform way. */
			for (auto && data :
			zip(arange(nb_nodes), make_view(*this->velocity, nb_degree_of_freedom),
			make_view(*this->mass, nb_degree_of_freedom))) {
			const UInt n = std::get<0>(data); // This is the ID of the current node

			// Only handle the node if it belongs to us.
			if (not mesh.isLocalOrMasterNode(n)) {
			continue;
			}

			const auto & velocity = std::get<1>(data);
			const auto & mass = std::get<2>(data);
			Real mv2 = 0.;

			for (auto && node_data : zip(velocity, mass)) {
			mv2 += Math::pow<2>(std::get<0>(node_data)) * std::get<1>(node_data);
			}

			ekin += mv2;
			}
			} else if (this->getDOFManager().hasMatrix("M")) {
			/* Handle the case where no lumped mass is there.
			* This is basically the original code.
			*/
			this->assembleMassMatrix();

			Array<Real> Mv(nb_nodes, nb_degree_of_freedom);
			this->getDOFManager().assembleMatMulVectToArray("displacement", "M",
			*this->velocity, Mv);

			for (auto && data :
			zip(arange(nb_nodes), make_view(Mv, nb_degree_of_freedom),
			make_view(*this->velocity, nb_degree_of_freedom))) {
			// only consider the node if we are belonging to it
			if (mesh.isLocalOrMasterNode(std::get<0>(data))) {
			ekin += std::get<2>(data).dot(std::get<1>(data));
			}
			}
			} else {
			/* This is the case where no mass is present, for whatever reason, such as
			* the static case. We handle it specially be returning directly zero.
			* However, by doing that there will not be a synchronizing event as in the
			* other cases. Which is faster, but could be a problem in case the user
			* expects this.
			*
			* Another not is, that the solid mechanics part, would generate an error in
			* this clause. But, since the original implementation of the structural
			* part, did not do that, I, Philip, decided to refrain from that. However,
			* it is an option that should be considered.
			*/
			return 0.;
			}

			// Sum up across the comunicator
			mesh.getCommunicator().allReduce(ekin, SynchronizerOperation::_sum);

			return ekin / 2.; // finally divide the energy by two
			}

			/* -------------------------------------------------------------------------- */
			Real StructuralMechanicsModel::getPotentialEnergy() {
			Real epot = 0.;
			UInt nb_nodes = mesh.getNbNodes();

			// if stiffness matrix is not assembled, do it
			this->assembleStiffnessMatrix();

			Array<Real> Ku(nb_nodes, nb_degree_of_freedom);
			this->getDOFManager().assembleMatMulVectToArray(
			"displacement", "K", *this->displacement_rotation, Ku);

			for (auto && data :
			zip(arange(nb_nodes), make_view(Ku, nb_degree_of_freedom),
			make_view(*this->displacement_rotation, nb_degree_of_freedom))) {
			epot += std::get<2>(data).dot(std::get<1>(data)) *
			static_cast<Real>(mesh.isLocalOrMasterNode(std::get<0>(data)));
			}

			mesh.getCommunicator().allReduce(epot, SynchronizerOperation::_sum);

			return epot / 2.;
			}

			/* -------------------------------------------------------------------------- */
			Real StructuralMechanicsModel::getEnergy(const ID & energy) {
			if (energy == "kinetic") {
			return getKineticEnergy();
			}

			if (energy == "potential") {
			return getPotentialEnergy();
			}

			return 0;
			}

			/* -------------------------------------------------------------------------- */
			void StructuralMechanicsModel::computeForcesByLocalTractionArray(
			const Array<Real> & tractions, ElementType type) {
			AKANTU_DEBUG_IN();

			auto nb_element = getFEEngine().getMesh().getNbElement(type);
			auto nb_nodes_per_element =
			getFEEngine().getMesh().getNbNodesPerElement(type);
			auto nb_quad = getFEEngine().getNbIntegrationPoints(type);

			// check dimension match
			AKANTU_DEBUG_ASSERT(
			Mesh::getSpatialDimension(type) == getFEEngine().getElementDimension(),
			"element type dimension does not match the dimension of boundaries : "
			<< getFEEngine().getElementDimension()
			<< " != " << Mesh::getSpatialDimension(type));

			// check size of the vector
			AKANTU_DEBUG_ASSERT(
			tractions.size() == nb_quad * nb_element,
			"the size of the vector should be the total number of quadrature points");

			// check number of components
			AKANTU_DEBUG_ASSERT(tractions.getNbComponent() == nb_degree_of_freedom,
			"the number of components should be the spatial "
			"dimension of the problem");

			Array<Real> Ntbs(nb_element * nb_quad,
			nb_degree_of_freedom * nb_nodes_per_element);

			auto & fem = getFEEngine();
			fem.computeNtb(tractions, Ntbs, type);

			// allocate the vector that will contain the integrated values
			auto name = id + std::to_string(type) + ":integral_boundary";
			Array<Real> int_funct(nb_element, nb_degree_of_freedom * nb_nodes_per_element,
			name);

			// do the integration
			getFEEngine().integrate(Ntbs, int_funct,
			nb_degree_of_freedom * nb_nodes_per_element, type);

			// assemble the result into force vector
			getDOFManager().assembleElementalArrayLocalArray(int_funct, *external_force,
			type, _not_ghost, 1);

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			void StructuralMechanicsModel::computeForcesByGlobalTractionArray(
			const Array<Real> & traction_global, ElementType type) {
			AKANTU_DEBUG_IN();

			auto nb_element = mesh.getNbElement(type);
			auto nb_quad = getFEEngine().getNbIntegrationPoints(type);

			Array<Real> traction_local(nb_element * nb_quad, nb_degree_of_freedom,
			id + ":structuralmechanics:imposed_linear_load");

			auto R_it = getFEEngineClass<MyFEEngineType>()
			.getShapeFunctions()
			.getRotations(type)
			.begin(nb_degree_of_freedom, nb_degree_of_freedom);

			auto Te_it = traction_global.begin(nb_degree_of_freedom);
			auto te_it = traction_local.begin(nb_degree_of_freedom);

			for (Int e = 0; e < nb_element; ++e, ++R_it) {
			for (Int q = 0; q < nb_quad; ++q, ++Te_it, ++te_it) {
			// turn the traction in the local referential
			te_it = R_it * *Te_it;
			}
			}

			computeForcesByLocalTractionArray(traction_local, type);

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			void StructuralMechanicsModel::afterSolveStep(bool converged) {
			if (converged) {
			assembleInternalForce();
			}
			}

			} // namespace akantu

rAKA/src/model/structural_mechanics/structural_mechanics_model.ccb35bf118a6e3releases/10.1007/s40571…

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rAKA/src/model/structural_mechanics/structural_mechanics_model.cc
b35bf118a6e3releases/10.1007/s40571…

structural_mechanics_model.cc
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