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material_inline_impl.cc
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			/**
			* @file material_inline_impl.cc
			*
			* @author Marco Vocialta <marco.vocialta@epfl.ch>
			* @author Nicolas Richart <nicolas.richart@epfl.ch>
			* @author Daniel Pino Muñoz <daniel.pinomunoz@epfl.ch>
			*
			* @date creation: Tue Jul 27 2010
			* @date last modification: Tue Sep 16 2014
			*
			* @brief Implementation of the inline functions of the class material
			*
			* @section LICENSE
			*
			* Copyright (©) 2010-2012, 2014 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/>.
			*
			*/

			__END_AKANTU__

			#include "solid_mechanics_model.hh"
			#include <iostream>

			__BEGIN_AKANTU__


			/* -------------------------------------------------------------------------- */
			inline UInt Material::addElement(const ElementType & type,
			UInt element,
			const GhostType & ghost_type) {
			Array<UInt> & el_filter = element_filter(type, ghost_type);
			el_filter.push_back(element);
			return el_filter.getSize()-1;
			}

			/* -------------------------------------------------------------------------- */
			inline UInt Material::getTangentStiffnessVoigtSize(UInt dim) const {
			return (dim * (dim - 1) / 2 + dim);
			}
			/* -------------------------------------------------------------------------- */
			inline UInt Material::getCauchyStressMatrixSize(UInt dim) const {
			return (dim * dim);
			}
			/* -------------------------------------------------------------------------- */
			template<UInt dim>
			inline void Material::gradUToF(const Matrix<Real> & grad_u,
			Matrix<Real> & F) {
			AKANTU_DEBUG_ASSERT(F.size() >= grad_u.size() && grad_u.size() == dim*dim,
			"The dimension of the tensor F should be greater or equal to the dimension of the tensor grad_u.");

			F.eye();

			for (UInt i = 0; i < dim; ++i)
			for (UInt j = 0; j < dim; ++j)
			F(i, j) += grad_u(i, j);
			}

			/* -------------------------------------------------------------------------- */
			template<UInt dim >
			inline void Material::computeCauchyStressOnQuad(const Matrix<Real> & F,
			const Matrix<Real> & piola,
			Matrix<Real> & sigma,
			const Real & C33 ) const {

			Real J = F.det() * sqrt(C33);

			Matrix<Real> F_S(dim, dim);
			F_S.mul<false, false>(F, piola);
			Real constant = J ? 1./J : 0;
			sigma.mul<false, true>(F_S, F, constant);
			}

			/* -------------------------------------------------------------------------- */
			inline void Material::rightCauchy(const Matrix<Real> & F,
			Matrix<Real> & C) {
			C.mul<true, false>(F, F);
			}

			/* -------------------------------------------------------------------------- */
			inline void Material::leftCauchy(const Matrix<Real> & F,
			Matrix<Real> & B) {
			B.mul<false, true>(F, F);
			}

			/* -------------------------------------------------------------------------- */
			template<UInt dim>
			inline void Material::gradUToEpsilon(const Matrix<Real> & grad_u,
			Matrix<Real> & epsilon) {
			for (UInt i = 0; i < dim; ++i)
			for (UInt j = 0; j < dim; ++j)
			epsilon(i, j) = 0.5*(grad_u(i, j) + grad_u(j, i));
			}

			/* -------------------------------------------------------------------------- */
			template<UInt dim>
			inline void Material::gradUToGreenStrain(const Matrix<Real> & grad_u,
			Matrix<Real> & epsilon) {
			epsilon.mul<true, false>(grad_u, grad_u, .5);

			for (UInt i = 0; i < dim; ++i)
			for (UInt j = 0; j < dim; ++j)
			epsilon(i, j) += 0.5 * (grad_u(i, j) + grad_u(j, i));
			}

			/* -------------------------------------------------------------------------- */
			inline Real Material::stressToVonMises(const Matrix<Real> & stress) {
			// compute deviatoric stress
			UInt dim = stress.cols();
			Matrix<Real> deviatoric_stress = Matrix<Real>::eye(dim, -1. * stress.trace() / 3.);

			for (UInt i = 0; i < dim; ++i)
			for (UInt j = 0; j < dim; ++j)
			deviatoric_stress(i,j) += stress(i,j);

			// return Von Mises stress
			return std::sqrt(3. * deviatoric_stress.doubleDot(deviatoric_stress) / 2.);
			}

			/* ---------------------------------------------------------------------------*/
			template<UInt dim>
			inline void Material::SetCauchyStressArray(const Matrix<Real> & S_t, Matrix<Real> & Stress_vect) {

			AKANTU_DEBUG_IN();

			Stress_vect.clear();

			//UInt cauchy_matrix_size = getCauchyStressArraySize(dim);

			//see Finite ekement formulations for large deformation dynamic analysis, Bathe et al. IJNME vol 9, 1975, page 364 ^t\tau

			/*
			* 1d: [ s11 ]'
			* 2d: [ s11 s22 s12 ]'
			* 3d: [ s11 s22 s33 s23 s13 s12 ]
			*/
			for (UInt i = 0; i < dim; ++i)//diagonal terms
			Stress_vect(i, 0) = S_t(i, i);

			for (UInt i = 1; i < dim; ++i)// term s12 in 2D and terms s23 s13 in 3D
			Stress_vect(dim+i-1, 0) = S_t(dim-i-1, dim-1);

			for (UInt i = 2; i < dim; ++i)//term s13 in 3D
			Stress_vect(dim+i, 0) = S_t(0, 1);

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			template<UInt dim>
			inline void Material::setCauchyStressMatrix(const Matrix<Real> & S_t, Matrix<Real> & Stress_matrix) {

			AKANTU_DEBUG_IN();

			Stress_matrix.clear();

			/// see Finite ekement formulations for large deformation dynamic analysis,
			/// Bathe et al. IJNME vol 9, 1975, page 364 ^t\tau

			for (UInt i = 0; i < dim; ++i) {
			for (UInt m = 0; m < dim; ++m) {
			for (UInt n = 0; n < dim; ++n) {
			Stress_matrix(i * dim + m, i * dim + n) = S_t(m, n);
			}
			}
			}

			//other terms from the diagonal
			/*for (UInt i = 0; i < 3 - dim; ++i) {
			Stress_matrix(dim * dim + i, dim * dim + i) = S_t(dim + i, dim + i);
			}*/


			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			inline Element Material::convertToLocalElement(const Element & global_element) const {
			UInt ge = global_element.element;
			#ifndef AKANTU_NDEBUG
			UInt model_mat_index = this->model->getMaterialByElement(global_element.type,
			global_element.ghost_type)(ge);

			UInt mat_index = this->model->getMaterialIndex(this->name);
			AKANTU_DEBUG_ASSERT(model_mat_index == mat_index,
			"Conversion of a global element in a local element for the wrong material "
			<< this->name << std::endl);
			#endif
			UInt le = this->model->getMaterialLocalNumbering(global_element.type,
			global_element.ghost_type)(ge);

			Element tmp_quad(global_element.type,
			le,
			global_element.ghost_type);
			return tmp_quad;
			}

			/* -------------------------------------------------------------------------- */
			inline Element Material::convertToGlobalElement(const Element & local_element) const {
			UInt le = local_element.element;
			UInt ge = this->element_filter(local_element.type, local_element.ghost_type)(le);

			Element tmp_quad(local_element.type,
			ge,
			local_element.ghost_type);
			return tmp_quad;
			}

			/* -------------------------------------------------------------------------- */
			inline QuadraturePoint Material::convertToLocalPoint(const QuadraturePoint & global_point) const {
			const FEEngine & fem = this->model->getFEEngine();
			UInt nb_quad = fem.getNbQuadraturePoints(global_point.type);
			Element el = this->convertToLocalElement(static_cast<const Element &>(global_point));
			QuadraturePoint tmp_quad(el, global_point.num_point, nb_quad);
			return tmp_quad;
			}

			/* -------------------------------------------------------------------------- */
			inline QuadraturePoint Material::convertToGlobalPoint(const QuadraturePoint & local_point) const {
			const FEEngine & fem = this->model->getFEEngine();
			UInt nb_quad = fem.getNbQuadraturePoints(local_point.type);
			Element el = this->convertToGlobalElement(static_cast<const Element &>(local_point));
			QuadraturePoint tmp_quad(el, local_point.num_point, nb_quad);
			return tmp_quad;
			}

			/* -------------------------------------------------------------------------- */
			template<ElementType type>
			inline void Material::buildElementalFieldInterpolationCoodinates(__attribute__((unused)) const Matrix<Real> & coordinates,
			__attribute__((unused)) Matrix<Real> & coordMatrix) {
			AKANTU_DEBUG_TO_IMPLEMENT();
			}

			/* -------------------------------------------------------------------------- */
			inline void Material::buildElementalFieldInterpolationCoodinatesLinear(const Matrix<Real> & coordinates,
			Matrix<Real> & coordMatrix) {

			for (UInt i = 0; i < coordinates.cols(); ++i)
			coordMatrix(i, 0) = 1;
			}

			/* -------------------------------------------------------------------------- */
			inline void Material::buildElementalFieldInterpolationCoodinatesQuadratic(const Matrix<Real> & coordinates,
			Matrix<Real> & coordMatrix) {

			UInt nb_quadrature_points = coordMatrix.cols();

			for (UInt i = 0; i < coordinates.cols(); ++i) {
			coordMatrix(i, 0) = 1;
			for (UInt j = 1; j < nb_quadrature_points; ++j)
			coordMatrix(i, j) = coordinates(j-1, i);
			}
			}

			/* -------------------------------------------------------------------------- */
			template<>
			inline void Material::buildElementalFieldInterpolationCoodinates<_segment_2>(const Matrix<Real> & coordinates,
			Matrix<Real> & coordMatrix) {
			buildElementalFieldInterpolationCoodinatesLinear(coordinates, coordMatrix);
			}

			/* -------------------------------------------------------------------------- */
			template<>
			inline void Material::buildElementalFieldInterpolationCoodinates<_segment_3>(const Matrix<Real> & coordinates,
			Matrix<Real> & coordMatrix) {

			buildElementalFieldInterpolationCoodinatesQuadratic(coordinates, coordMatrix);
			}

			/* -------------------------------------------------------------------------- */
			template<>
			inline void Material::buildElementalFieldInterpolationCoodinates<_triangle_3>(const Matrix<Real> & coordinates,
			Matrix<Real> & coordMatrix) {
			buildElementalFieldInterpolationCoodinatesLinear(coordinates, coordMatrix);
			}

			/* -------------------------------------------------------------------------- */
			template<>
			inline void Material::buildElementalFieldInterpolationCoodinates<_triangle_6>(const Matrix<Real> & coordinates,
			Matrix<Real> & coordMatrix) {

			buildElementalFieldInterpolationCoodinatesQuadratic(coordinates, coordMatrix);
			}


			/* -------------------------------------------------------------------------- */
			template<>
			inline void Material::buildElementalFieldInterpolationCoodinates<_tetrahedron_4>(const Matrix<Real> & coordinates,
			Matrix<Real> & coordMatrix) {
			buildElementalFieldInterpolationCoodinatesLinear(coordinates, coordMatrix);
			}

			/* -------------------------------------------------------------------------- */
			template<>
			inline void Material::buildElementalFieldInterpolationCoodinates<_tetrahedron_10>(const Matrix<Real> & coordinates,
			Matrix<Real> & coordMatrix) {

			buildElementalFieldInterpolationCoodinatesQuadratic(coordinates, coordMatrix);
			}

			/**
			* @todo Write a more efficient interpolation for quadrangles by
			* dropping unnecessary quadrature points
			*
			*/

			/* -------------------------------------------------------------------------- */
			template<>
			inline void Material::buildElementalFieldInterpolationCoodinates<_quadrangle_4>(const Matrix<Real> & coordinates,
			Matrix<Real> & coordMatrix) {

			for (UInt i = 0; i < coordinates.cols(); ++i) {
			Real x = coordinates(0, i);
			Real y = coordinates(1, i);

			coordMatrix(i, 0) = 1;
			coordMatrix(i, 1) = x;
			coordMatrix(i, 2) = y;
			coordMatrix(i, 3) = x * y;
			}
			}

			/* -------------------------------------------------------------------------- */
			template<>
			inline void Material::buildElementalFieldInterpolationCoodinates<_quadrangle_8>(const Matrix<Real> & coordinates,
			Matrix<Real> & coordMatrix) {

			for (UInt i = 0; i < coordinates.cols(); ++i) {

			UInt j = 0;
			Real x = coordinates(0, i);
			Real y = coordinates(1, i);

			for (UInt e = 0; e <= 2; ++e) {
			for (UInt n = 0; n <= 2; ++n) {
			coordMatrix(i, j) = std::pow(x, e) * std::pow(y, n);
			++j;
			}
			}

			}
			}

			/* -------------------------------------------------------------------------- */
			inline UInt Material::getNbDataForElements(const Array<Element> & elements,
			SynchronizationTag tag) const {
			if(tag == _gst_smm_stress) {
			return (this->isFiniteDeformation() ? 3 : 1) * spatial_dimension * spatial_dimension *
			sizeof(Real) * this->getModel().getNbQuadraturePoints(elements);
			}
			return 0;
			}

			/* -------------------------------------------------------------------------- */
			inline void Material::packElementData(CommunicationBuffer & buffer,
			const Array<Element> & elements,
			SynchronizationTag tag) const {
			if(tag == _gst_smm_stress) {
			if(this->isFiniteDeformation()) {
			packElementDataHelper(piola_kirchhoff_2, buffer, elements);
			packElementDataHelper(gradu, buffer, elements);
			}
			packElementDataHelper(stress, buffer, elements);
			}
			}

			/* -------------------------------------------------------------------------- */
			inline void Material::unpackElementData(CommunicationBuffer & buffer,
			const Array<Element> & elements,
			SynchronizationTag tag) {
			if(tag == _gst_smm_stress) {
			if(this->isFiniteDeformation()) {
			unpackElementDataHelper(piola_kirchhoff_2, buffer, elements);
			unpackElementDataHelper(gradu, buffer, elements);
			}
			unpackElementDataHelper(stress, buffer, elements);
			}
			}

			/* -------------------------------------------------------------------------- */
			template <typename T>
			inline const T & Material::getParam(const ID & param) const {
			try {
			return get<T>(param);
			} catch (...) {
			AKANTU_EXCEPTION("No parameter " << param << " in the material " << getID());
			}
			}

			/* -------------------------------------------------------------------------- */
			template <typename T>
			inline void Material::setParam(const ID & param, T value) {
			try {
			set<T>(param, value);
			} catch(...) {
			AKANTU_EXCEPTION("No parameter " << param << " in the material " << getID());
			}
			updateInternalParameters();
			}

			/* -------------------------------------------------------------------------- */
			template<typename T>
			inline void Material::packElementDataHelper(const ElementTypeMapArray<T> & data_to_pack,
			CommunicationBuffer & buffer,
			const Array<Element> & elements,
			const ID & fem_id) const {
			DataAccessor::packElementalDataHelper<T>(data_to_pack, buffer, elements, true,
			model->getFEEngine(fem_id));
			}

			/* -------------------------------------------------------------------------- */
			template<typename T>
			inline void Material::unpackElementDataHelper(ElementTypeMapArray<T> & data_to_unpack,
			CommunicationBuffer & buffer,
			const Array<Element> & elements,
			const ID & fem_id) {
			DataAccessor::unpackElementalDataHelper<T>(data_to_unpack, buffer, elements, true,
			model->getFEEngine(fem_id));
			}

			/* -------------------------------------------------------------------------- */
			template<> inline void Material::registerInternal<Real>(InternalField<Real> & vect) {
			internal_vectors_real[vect.getID()] = &vect;
			}

			template<> inline void Material::registerInternal<UInt>(InternalField<UInt> & vect) {
			internal_vectors_uint[vect.getID()] = &vect;
			}

			/* -------------------------------------------------------------------------- */
			template<> inline void Material::unregisterInternal<Real>(InternalField<Real> & vect) {
			internal_vectors_real.erase(vect.getID());
			}

			template<> inline void Material::unregisterInternal<UInt>(InternalField<UInt> & vect) {
			internal_vectors_uint.erase(vect.getID());
			}

			/* -------------------------------------------------------------------------- */
			inline bool Material::isInternal(const ID & id, const ElementKind & element_kind) const {

			std::map<ID, InternalField<Real> *>::const_iterator internal_array =
			internal_vectors_real.find(this->getID()+":"+id);

			if (internal_array == internal_vectors_real.end()) return false;
			if (internal_array->second->getElementKind() != element_kind) return false;
			return true;
			}

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

			inline ElementTypeMap<UInt> Material::getInternalDataPerElem(const ID & id, const ElementKind & element_kind,
			const ID & fe_engine_id) const {

			std::map<ID, InternalField<Real> *>::const_iterator internal_array =
			internal_vectors_real.find(this->getID()+":"+id);

			if (internal_array == internal_vectors_real.end()) AKANTU_EXCEPTION("cannot find internal " << id);
			if (internal_array->second->getElementKind() != element_kind) AKANTU_EXCEPTION("cannot find internal " << id);

			InternalField<Real> & internal = *internal_array->second;
			InternalField<Real>::type_iterator it = internal.firstType(spatial_dimension, _not_ghost,element_kind);
			InternalField<Real>::type_iterator last_type = internal.lastType(spatial_dimension, _not_ghost,element_kind);


			ElementTypeMap<UInt> res;
			for(; it != last_type; ++it) {
			UInt nb_quadrature_points = 0;
			if (element_kind == _ek_regular)
			nb_quadrature_points = model->getFEEngine(fe_engine_id).getNbQuadraturePoints(*it);
			#if defined(AKANTU_COHESIVE_ELEMENT)
			else if (element_kind == _ek_cohesive)
			nb_quadrature_points = model->getFEEngine("CohesiveFEEngine").getNbQuadraturePoints(*it);
			#endif
			res(it) = internal.getNbComponent() nb_quadrature_points;
			}
			return res;
			}

rAKA/src/model/solid_mechanics/material_inline_impl.cc3a7f82272ac2features/17-create-an…

material_inline_impl.ccView Options

rAKA/src/model/solid_mechanics/material_inline_impl.cc
3a7f82272ac2features/17-create-an…

material_inline_impl.cc
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