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material_reinforcement.cc
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			/**
			* @file material_reinforcement.cc
			*
			* @author Lucas Frerot <lucas.frerot@epfl.ch>
			*
			* @date creation: Wed Mar 25 2015
			* @date last modification: Tue Dec 08 2015
			*
			* @brief Reinforcement material
			*
			* @section LICENSE
			*
			* Copyright (©) 2015 EPFL (Ecole Polytechnique Fédérale de Lausanne) Laboratory
			* (LSMS - Laboratoire de Simulation en Mécanique des Solides)
			*
			* 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 "aka_common.hh"
			#include "aka_voigthelper.hh"
			#include "material_reinforcement.hh"

			namespace akantu {

			/* -------------------------------------------------------------------------- */
			template <UInt dim>
			MaterialReinforcement<dim>::MaterialReinforcement(SolidMechanicsModel & model,
			UInt /spatial_dimension/,
			const Mesh & mesh,
			FEEngine & fe_engine,
			const ID & id)
			: Material(model, dim, mesh, fe_engine,
			id), // /!\ dim, not spatial_dimension !
			model(NULL),
			stress_embedded("stress_embedded", *this, 1, fe_engine,
			this->element_filter),
			gradu_embedded("gradu_embedded", *this, 1, fe_engine,
			this->element_filter),
			directing_cosines("directing_cosines", *this, 1, fe_engine,
			this->element_filter),
			pre_stress("pre_stress", *this, 1, fe_engine, this->element_filter),
			area(1.0), shape_derivatives() {
			AKANTU_DEBUG_IN();
			this->initialize(model);
			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			template <UInt dim>
			void MaterialReinforcement<dim>::initialize(SolidMechanicsModel & a_model) {
			AKANTU_DEBUG_IN();
			this->model = dynamic_cast<EmbeddedInterfaceModel *>(&a_model);
			AKANTU_DEBUG_ASSERT(this->model != NULL,
			"MaterialReinforcement needs an EmbeddedInterfaceModel");

			this->registerParam("area", area, _pat_parsable \| _pat_modifiable,
			"Reinforcement cross-sectional area");
			this->registerParam("pre_stress", pre_stress, _pat_parsable \| _pat_modifiable,
			"Uniform pre-stress");

			this->unregisterInternal(this->stress);

			// Fool the AvgHomogenizingFunctor
			// stress.initialize(dim * dim);

			// Reallocate the element filter
			this->element_filter.initialize(this->model->getInterfaceMesh(),
			_spatial_dimension = 1);
			AKANTU_DEBUG_OUT();
			}

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

			template <UInt dim> MaterialReinforcement<dim>::~MaterialReinforcement() {
			AKANTU_DEBUG_IN();

			ElementTypeMap<ElementTypeMapArray<Real> *>::type_iterator
			it = shape_derivatives.firstType(),
			end = shape_derivatives.lastType();

			for (; it != end; ++it) {
			delete shape_derivatives(*it, _not_ghost);
			delete shape_derivatives(*it, _ghost);
			}

			AKANTU_DEBUG_OUT();
			}

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

			template <UInt dim> void MaterialReinforcement<dim>::initMaterial() {
			Material::initMaterial();

			stress_embedded.initialize(dim * dim);
			gradu_embedded.initialize(dim * dim);
			pre_stress.initialize(1);

			/// We initialise the stuff that is not going to change during the simulation
			this->allocBackgroundShapeDerivatives();
			this->initBackgroundShapeDerivatives();
			this->initDirectingCosines();
			}

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

			/**
			* Background shape derivatives need to be stored per background element
			* types but also per embedded element type, which is why they are stored
			* in an ElementTypeMap<ElementTypeMapArray<Real> *>. The outer ElementTypeMap
			* refers to the embedded types, and the inner refers to the background types.
			*/
			template <UInt dim>
			void MaterialReinforcement<dim>::allocBackgroundShapeDerivatives() {
			AKANTU_DEBUG_IN();

			Mesh & interface_mesh = model->getInterfaceMesh();
			Mesh & mesh = model->getMesh();

			ghost_type_t::iterator int_ghost_it = ghost_type_t::begin();

			// Loop over interface ghosts
			for (; int_ghost_it != ghost_type_t::end(); ++int_ghost_it) {
			Mesh::type_iterator interface_type_it =
			interface_mesh.firstType(1, *int_ghost_it);
			Mesh::type_iterator interface_type_end =
			interface_mesh.lastType(1, *int_ghost_it);

			// Loop over interface types
			for (; interface_type_it != interface_type_end; ++interface_type_it) {
			Mesh::type_iterator background_type_it =
			mesh.firstType(dim, *int_ghost_it);
			Mesh::type_iterator background_type_end =
			mesh.lastType(dim, *int_ghost_it);

			// Loop over background types
			for (; background_type_it != background_type_end ; ++background_type_it) {
			const ElementType & int_type = *interface_type_it;
			const ElementType & back_type = *background_type_it;
			const GhostType & int_ghost = *int_ghost_it;

			std::string shaped_id = "embedded_shape_derivatives";

			if (int_ghost == _ghost) shaped_id += ":ghost";

			ElementTypeMapArray<Real> * shaped_etma = new ElementTypeMapArray<Real>(shaped_id, this->name);

			UInt nb_points = Mesh::getNbNodesPerElement(back_type);
			UInt nb_quad_points = model->getFEEngine("EmbeddedInterfaceFEEngine").getNbIntegrationPoints(int_type);
			UInt nb_elements = element_filter(int_type, int_ghost).size();

			// Alloc the background ElementTypeMapArray
			shaped_etma->alloc(nb_elements * nb_quad_points,
			dim * nb_points,
			back_type);

			// Insert the background ElementTypeMapArray in the interface
			// ElementTypeMap
			shape_derivatives(shaped_etma, int_type, int_ghost);
			}
			}
			}

			AKANTU_DEBUG_OUT();
			}

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

			template <UInt dim>
			void MaterialReinforcement<dim>::initBackgroundShapeDerivatives() {
			AKANTU_DEBUG_IN();

			Mesh & mesh = model->getMesh();

			Mesh::type_iterator type_it = mesh.firstType(dim, _not_ghost);
			Mesh::type_iterator type_end = mesh.lastType(dim, _not_ghost);

			for (; type_it != type_end; ++type_it) {
			computeBackgroundShapeDerivatives(*type_it, _not_ghost);
			// computeBackgroundShapeDerivatives(*type_it, _ghost);
			}

			AKANTU_DEBUG_OUT();
			}

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

			template <UInt dim> void MaterialReinforcement<dim>::initDirectingCosines() {
			AKANTU_DEBUG_IN();

			Mesh & mesh = model->getInterfaceMesh();

			Mesh::type_iterator type_it = mesh.firstType(1, _not_ghost);
			Mesh::type_iterator type_end = mesh.lastType(1, _not_ghost);

			const UInt voigt_size = getTangentStiffnessVoigtSize(dim);
			directing_cosines.initialize(voigt_size * voigt_size);

			for (; type_it != type_end; ++type_it) {
			computeDirectingCosines(*type_it, _not_ghost);
			// computeDirectingCosines(*type_it, _ghost);
			}

			AKANTU_DEBUG_OUT();
			}

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

			template <UInt dim>
			void MaterialReinforcement<dim>::assembleStiffnessMatrix(GhostType ghost_type) {
			AKANTU_DEBUG_IN();

			Mesh & interface_mesh = model->getInterfaceMesh();

			Mesh::type_iterator type_it = interface_mesh.firstType(1, _not_ghost);
			Mesh::type_iterator type_end = interface_mesh.lastType(1, _not_ghost);

			for (; type_it != type_end; ++type_it) {
			assembleStiffnessMatrix(*type_it, ghost_type);
			}

			AKANTU_DEBUG_OUT();
			}

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

			template <UInt dim>
			void MaterialReinforcement<dim>::assembleInternalForces(GhostType ghost_type) {
			AKANTU_DEBUG_IN();

			Mesh & interface_mesh = model->getInterfaceMesh();

			Mesh::type_iterator type_it = interface_mesh.firstType(1, _not_ghost);
			Mesh::type_iterator type_end = interface_mesh.lastType(1, _not_ghost);

			for (; type_it != type_end; ++type_it) {
			this->assembleInternalForces(*type_it, ghost_type);
			}

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			template <UInt dim>
			void MaterialReinforcement<dim>::computeGradU(const ElementType & type,
			GhostType ghost_type) {
			AKANTU_DEBUG_IN();

			Array<UInt> & elem_filter = element_filter(type, ghost_type);
			UInt nb_element = elem_filter.size();
			UInt nb_quad_points = model->getFEEngine("EmbeddedInterfaceFEEngine")
			.getNbIntegrationPoints(type);

			Array<Real> & gradu_vec = gradu_embedded(type, ghost_type);

			Mesh::type_iterator back_it = model->getMesh().firstType(dim, ghost_type);
			Mesh::type_iterator back_end = model->getMesh().lastType(dim, ghost_type);

			for (; back_it != back_end; ++back_it) {
			UInt nodes_per_background_e = Mesh::getNbNodesPerElement(*back_it);

			Array<Real> & shapesd =
			shape_derivatives(type, ghost_type)->operator()(*back_it, ghost_type);

			Array<UInt> * background_filter =
			new Array<UInt>(nb_element, 1, "background_filter");
			filterInterfaceBackgroundElements(background_filter, back_it, type,
			ghost_type);

			Array<Real> * disp_per_element = new Array<Real>(0, dim * nodes_per_background_e, "disp_elem");
			FEEngine::extractNodalToElementField(model->getMesh(),
			model->getDisplacement(),
			*disp_per_element,
			back_it, ghost_type, background_filter);

			Array<Real>::matrix_iterator disp_it =
			disp_per_element->begin(dim, nodes_per_background_e);
			Array<Real>::matrix_iterator disp_end =
			disp_per_element->end(dim, nodes_per_background_e);

			Array<Real>::matrix_iterator shapes_it =
			shapesd.begin(dim, nodes_per_background_e);
			Array<Real>::matrix_iterator grad_u_it = gradu_vec.begin(dim, dim);

			for (; disp_it != disp_end; ++disp_it) {
			for (UInt i = 0; i < nb_quad_points; i++, ++shapes_it, ++grad_u_it) {
			Matrix<Real> & B = *shapes_it;
			Matrix<Real> & du = *grad_u_it;
			Matrix<Real> & u = *disp_it;

			du.mul<false, true>(u, B);
			}
			}

			delete background_filter;
			delete disp_per_element;
			}

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			template <UInt dim>
			void MaterialReinforcement<dim>::computeAllStresses(GhostType ghost_type) {
			AKANTU_DEBUG_IN();

			Mesh::type_iterator it = model->getInterfaceMesh().firstType();
			Mesh::type_iterator last_type = model->getInterfaceMesh().lastType();

			for (; it != last_type; ++it) {
			computeGradU(*it, ghost_type);
			computeStress(*it, ghost_type);
			}

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			template <UInt dim>
			void MaterialReinforcement<dim>::assembleInternalForces(
			const ElementType & type, GhostType ghost_type) {
			AKANTU_DEBUG_IN();

			Mesh & mesh = model->getMesh();

			Mesh::type_iterator type_it = mesh.firstType(dim, ghost_type);
			Mesh::type_iterator type_end = mesh.lastType(dim, ghost_type);

			for (; type_it != type_end; ++type_it) {
			assembleInternalForcesInterface(type, *type_it, ghost_type);
			}

			AKANTU_DEBUG_OUT();
			}

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

			/**
			* Computes and assemble the residual. Residual in reinforcement is computed as:
			*
			* \f[
			* \vec{r} = A_s \int_S{\mathbf{B}^T\mathbf{C}^T \vec{\sigma_s}\,\mathrm{d}s}
			* \f]
			*/
			template <UInt dim>
			void MaterialReinforcement<dim>::assembleInternalForcesInterface(
			const ElementType & interface_type, const ElementType & background_type,
			GhostType ghost_type) {
			AKANTU_DEBUG_IN();

			UInt voigt_size = getTangentStiffnessVoigtSize(dim);

			FEEngine & interface_engine = model->getFEEngine("EmbeddedInterfaceFEEngine");

			Array<UInt> & elem_filter = element_filter(interface_type, ghost_type);

			UInt nodes_per_background_e = Mesh::getNbNodesPerElement(background_type);
			UInt nb_quadrature_points =
			interface_engine.getNbIntegrationPoints(interface_type, ghost_type);
			UInt nb_element = elem_filter.size();

			UInt back_dof = dim * nodes_per_background_e;

			Array<Real> & shapesd = (*shape_derivatives(interface_type, ghost_type))(
			background_type, ghost_type);

			Array<Real> integrant(nb_quadrature_points * nb_element, back_dof,
			"integrant");

			Array<Real>::vector_iterator integrant_it = integrant.begin(back_dof);
			Array<Real>::vector_iterator integrant_end = integrant.end(back_dof);

			Array<Real>::matrix_iterator B_it =
			shapesd.begin(dim, nodes_per_background_e);
			Array<Real>::matrix_iterator C_it =
			directing_cosines(interface_type, ghost_type)
			.begin(voigt_size, voigt_size);
			Array<Real>::matrix_iterator sigma_it =
			stress_embedded(interface_type, ghost_type).begin(dim, dim);

			Vector<Real> sigma(voigt_size);
			Matrix<Real> Bvoigt(voigt_size, back_dof);
			Vector<Real> Ct_sigma(voigt_size);

			for (; integrant_it != integrant_end ; ++integrant_it,
			++B_it,
			++C_it,
			++sigma_it) {
			VoigtHelper<dim>::transferBMatrixToSymVoigtBMatrix(*B_it, Bvoigt, nodes_per_background_e);
			Matrix<Real> & C = *C_it;
			Vector<Real> & BtCt_sigma = *integrant_it;

			stressTensorToVoigtVector(*sigma_it, sigma);

			Ct_sigma.mul<true>(C, sigma);
			BtCt_sigma.mul<true>(Bvoigt, Ct_sigma);
			BtCt_sigma *= area;
			}

			Array<Real> residual_interface(nb_element, back_dof, "residual_interface");
			interface_engine.integrate(integrant, residual_interface, back_dof,
			interface_type, ghost_type, elem_filter);
			integrant.resize(0);

			Array<UInt> background_filter(nb_element, 1, "background_filter");

			filterInterfaceBackgroundElements(background_filter, background_type,
			interface_type, ghost_type);

			model->getDOFManager().assembleElementalArrayLocalArray(
			residual_interface, model->getInternalForce(), background_type, ghost_type, -1.,
			background_filter);

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			template <UInt dim>
			void MaterialReinforcement<dim>::filterInterfaceBackgroundElements(
			Array<UInt> & filter, const ElementType & type,
			const ElementType & interface_type, GhostType ghost_type) {
			AKANTU_DEBUG_IN();

			filter.resize(0);
			filter.clear();

			Array<Element> & elements =
			model->getInterfaceAssociatedElements(interface_type, ghost_type);
			Array<UInt> & elem_filter = element_filter(interface_type, ghost_type);

			Array<UInt>::scalar_iterator filter_it = elem_filter.begin(),
			filter_end = elem_filter.end();

			for (; filter_it != filter_end; ++filter_it) {
			Element & elem = elements(*filter_it);
			if (elem.type == type)
			filter.push_back(elem.element);
			}

			AKANTU_DEBUG_OUT();
			}

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

			template <UInt dim>
			void MaterialReinforcement<dim>::computeDirectingCosines(
			const ElementType & type, GhostType ghost_type) {
			AKANTU_DEBUG_IN();

			Mesh & interface_mesh = this->model->getInterfaceMesh();

			const UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
			const UInt steel_dof = dim * nb_nodes_per_element;
			const UInt voigt_size = getTangentStiffnessVoigtSize(dim);
			const UInt nb_quad_points = model->getFEEngine("EmbeddedInterfaceFEEngine")
			.getNbIntegrationPoints(type, ghost_type);

			Array<Real> node_coordinates(this->element_filter(type, ghost_type).size(),
			steel_dof);

			this->model->getFEEngine().template extractNodalToElementField<Real>(interface_mesh,
			interface_mesh.getNodes(),
			node_coordinates,
			type,
			ghost_type,
			this->element_filter(type, ghost_type));

			Array<Real>::matrix_iterator directing_cosines_it =
			directing_cosines(type, ghost_type).begin(voigt_size, voigt_size);

			Array<Real>::matrix_iterator node_coordinates_it =
			node_coordinates.begin(dim, nb_nodes_per_element);
			Array<Real>::matrix_iterator node_coordinates_end =
			node_coordinates.end(dim, nb_nodes_per_element);

			for (; node_coordinates_it != node_coordinates_end; ++node_coordinates_it) {
			for (UInt i = 0; i < nb_quad_points; i++, ++directing_cosines_it) {
			Matrix<Real> & nodes = *node_coordinates_it;
			Matrix<Real> & cosines = *directing_cosines_it;

			computeDirectingCosinesOnQuad(nodes, cosines);
			}
			}

			// Mauro: the directing_cosines internal is defined on the quadrature points of each element

			AKANTU_DEBUG_OUT();
			}

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

			template <UInt dim>
			void MaterialReinforcement<dim>::assembleStiffnessMatrix(
			const ElementType & type, GhostType ghost_type) {
			AKANTU_DEBUG_IN();

			Mesh & mesh = model->getMesh();

			Mesh::type_iterator type_it = mesh.firstType(dim, ghost_type);
			Mesh::type_iterator type_end = mesh.lastType(dim, ghost_type);

			for (; type_it != type_end; ++type_it) {
			assembleStiffnessMatrixInterface(type, *type_it, ghost_type);
			}

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			/**
			* Computes the reinforcement stiffness matrix (Gomes & Awruch, 2001)
			* \f[
			* \mathbf{K}_e = \sum_{i=1}^R{A_i\int_{S_i}{\mathbf{B}^T
			* \mathbf{C}_i^T \mathbf{D}_{s, i} \mathbf{C}_i \mathbf{B}\,\mathrm{d}s}}
			* \f]
			*/
			template <UInt dim>
			void MaterialReinforcement<dim>::assembleStiffnessMatrixInterface(
			const ElementType & interface_type, const ElementType & background_type,
			GhostType ghost_type) {
			AKANTU_DEBUG_IN();

			UInt voigt_size = getTangentStiffnessVoigtSize(dim);

			FEEngine & interface_engine = model->getFEEngine("EmbeddedInterfaceFEEngine");

			Array<UInt> & elem_filter = element_filter(interface_type, ghost_type);
			Array<Real> & grad_u = gradu_embedded(interface_type, ghost_type);

			UInt nb_element = elem_filter.size();
			UInt nodes_per_background_e = Mesh::getNbNodesPerElement(background_type);
			UInt nb_quadrature_points =
			interface_engine.getNbIntegrationPoints(interface_type, ghost_type);

			UInt back_dof = dim * nodes_per_background_e;

			UInt integrant_size = back_dof;

			grad_u.resize(nb_quadrature_points * nb_element);

			Array<Real> tangent_moduli(nb_element * nb_quadrature_points, 1,
			"interface_tangent_moduli");
			computeTangentModuli(interface_type, tangent_moduli, ghost_type);

			Array<Real> & shapesd = (*shape_derivatives(interface_type, ghost_type))(
			background_type, ghost_type);

			Array<Real> integrant(nb_element * nb_quadrature_points,
			integrant_size * integrant_size, "B^tC^tDCB");

			/// Temporary matrices for integrant product
			Matrix<Real> Bvoigt(voigt_size, back_dof);
			Matrix<Real> DC(voigt_size, voigt_size);
			Matrix<Real> DCB(voigt_size, back_dof);
			Matrix<Real> CtDCB(voigt_size, back_dof);

			Array<Real>::scalar_iterator D_it = tangent_moduli.begin();
			Array<Real>::scalar_iterator D_end = tangent_moduli.end();

			Array<Real>::matrix_iterator C_it =
			directing_cosines(interface_type, ghost_type)
			.begin(voigt_size, voigt_size);
			Array<Real>::matrix_iterator B_it =
			shapesd.begin(dim, nodes_per_background_e);
			Array<Real>::matrix_iterator integrant_it =
			integrant.begin(integrant_size, integrant_size);

			for (; D_it != D_end; ++D_it, ++C_it, ++B_it, ++integrant_it) {
			Real & D = *D_it;
			Matrix<Real> & C = *C_it;
			Matrix<Real> & B = *B_it;
			Matrix<Real> & BtCtDCB = *integrant_it;

			VoigtHelper<dim>::transferBMatrixToSymVoigtBMatrix(B, Bvoigt,
			nodes_per_background_e);

			DC.clear();
			DC(0, 0) = D * area;
			DC *= C;
			DCB.mul<false, false>(DC, Bvoigt);
			CtDCB.mul<true, false>(C, DCB);
			BtCtDCB.mul<true, false>(Bvoigt, CtDCB);
			}

			tangent_moduli.resize(0);

			Array<Real> K_interface(
			nb_element, integrant_size * integrant_size, "K_interface");
			interface_engine.integrate(integrant, K_interface,
			integrant_size * integrant_size, interface_type,
			ghost_type, elem_filter);

			integrant.resize(0);

			// Mauro: Here K_interface contains the local stiffness matrices,
			// directing_cosines contains the information about the orientation
			// of the reinforcements, any rotation of the local stiffness matrix
			// can be done here

			Array<UInt> background_filter(nb_element, 1, "background_filter");

			filterInterfaceBackgroundElements(background_filter, background_type,
			interface_type, ghost_type);

			model->getDOFManager().assembleElementalMatricesToMatrix(
			"K", "displacement", K_interface, background_type, ghost_type,
			_symmetric, background_filter);


			AKANTU_DEBUG_OUT();
			}

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

			/// In this function, type and ghost_type refer to background elements
			template <UInt dim>
			void MaterialReinforcement<dim>::computeBackgroundShapeDerivatives(
			const ElementType & type, GhostType ghost_type) {
			AKANTU_DEBUG_IN();

			Mesh & interface_mesh = model->getInterfaceMesh();

			FEEngine & engine = model->getFEEngine();
			FEEngine & interface_engine = model->getFEEngine("EmbeddedInterfaceFEEngine");

			Mesh::type_iterator interface_type = interface_mesh.firstType();
			Mesh::type_iterator interface_last = interface_mesh.lastType();

			for (; interface_type != interface_last; ++interface_type) {
			Array<UInt> & filter = element_filter(*interface_type, ghost_type);

			const UInt nb_elements = filter.size();
			const UInt nb_nodes = Mesh::getNbNodesPerElement(type);
			const UInt nb_quad_per_element =
			interface_engine.getNbIntegrationPoints(*interface_type);

			Array<Real> quad_pos(nb_quad_per_element * nb_elements, dim,
			"interface_quad_points");
			quad_pos.resize(nb_quad_per_element * nb_elements);
			interface_engine.interpolateOnIntegrationPoints(
			interface_mesh.getNodes(), quad_pos, dim, *interface_type, ghost_type,
			filter);

			Array<Real> & background_shapesd =
			shape_derivatives(*interface_type, ghost_type)
			->
			operator()(type, ghost_type);
			background_shapesd.clear();

			Array<UInt> * background_elements = new Array<UInt>(
			nb_elements, 1, "computeBackgroundShapeDerivatives:background_filter");
			filterInterfaceBackgroundElements(*background_elements, type,
			*interface_type, ghost_type);

			Array<UInt>::scalar_iterator back_it = background_elements->begin(),
			back_end = background_elements->end();

			Array<Real>::matrix_iterator shapesd_it =
			background_shapesd.begin(dim, nb_nodes);

			Array<Real>::vector_iterator quad_pos_it = quad_pos.begin(dim);

			for (; back_it != back_end; ++back_it) {
			for (UInt i = 0; i < nb_quad_per_element;
			i++, ++shapesd_it, ++quad_pos_it)
			engine.computeShapeDerivatives(quad_pos_it, back_it, type,
			*shapesd_it, ghost_type);
			}

			delete background_elements;
			}

			AKANTU_DEBUG_OUT();
			}

			template <UInt dim>
			Real MaterialReinforcement<dim>::getEnergy(const std::string & id) {
			AKANTU_DEBUG_IN();
			if (id == "potential") {
			Real epot = 0.;

			computePotentialEnergyByElements();

			Mesh::type_iterator it = element_filter.firstType(spatial_dimension),
			end = element_filter.lastType(spatial_dimension);

			for (; it != end; ++it) {
			FEEngine & interface_engine =
			model->getFEEngine("EmbeddedInterfaceFEEngine");
			epot += interface_engine.integrate(potential_energy(it, _not_ghost), it,
			_not_ghost,
			element_filter(*it, _not_ghost));
			epot *= area;
			}

			return epot;
			}

			AKANTU_DEBUG_OUT();
			return 0;
			}

			// /* --------------------------------------------------------------------------
			// */
			// template<UInt dim>
			// ElementTypeMap<UInt> MaterialReinforcement<dim>::getInternalDataPerElem(const
			// ID & field_name,
			// const
			// ElementKind
			// &
			// kind,
			// const
			// ID &
			// fe_engine_id)
			// const
			// {
			// return Material::getInternalDataPerElem(field_name, kind,
			// "EmbeddedInterfaceFEEngine");
			// }

			// /* --------------------------------------------------------------------------
			// */
			// // Author is Guillaume Anciaux, see material.cc
			// template<UInt dim>
			// void MaterialReinforcement<dim>::flattenInternal(const std::string &
			// field_id,
			// ElementTypeMapArray<Real> &
			// internal_flat,
			// const GhostType ghost_type,
			// ElementKind element_kind)
			// const {
			// AKANTU_DEBUG_IN();

			// if (field_id == "stress_embedded" \|\| field_id == "inelastic_strain") {
			// Material::flattenInternalIntern(field_id,
			// internal_flat,
			// 1,
			// ghost_type,
			// _ek_not_defined,
			// &(this->element_filter),
			// &(this->model->getInterfaceMesh()));
			// }

			// AKANTU_DEBUG_OUT();
			// }

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

			INSTANTIATE_MATERIAL_ONLY(MaterialReinforcement);

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

			} // akantu

rAKA/src/model/solid_mechanics/materials/material_embedded/material_reinforcement.cc47f5c259932bfeatures/energy_computa…

material_reinforcement.ccView Options

rAKA/src/model/solid_mechanics/materials/material_embedded/material_reinforcement.cc
47f5c259932bfeatures/energy_computa…

material_reinforcement.cc
View Options