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structural_mechanics_model_inline_impl.cc
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			/**
			* @file structural_mechanics_model_inline_impl.cc
			*
			* @author Fabian Barras <fabian.barras@epfl.ch>
			* @author Sébastien Hartmann <sebastien.hartmann@epfl.ch>
			* @author Nicolas Richart <nicolas.richart@epfl.ch>
			* @author Damien Spielmann <damien.spielmann@epfl.ch>
			*
			* @date creation: Fri Jul 15 2011
			* @date last modification: Thu Oct 15 2015
			*
			* @brief Implementation of inline functions of StructuralMechanicsModel
			*
			* @section LICENSE
			*
			* Copyright (©) 2010-2012, 2014, 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 "structural_mechanics_model.hh"
			/* -------------------------------------------------------------------------- */

			#ifndef __AKANTU_STRUCTURAL_MECHANICS_MODEL_INLINE_IMPL_CC__
			#define __AKANTU_STRUCTURAL_MECHANICS_MODEL_INLINE_IMPL_CC__

			namespace akantu {

			/* -------------------------------------------------------------------------- */
			template <ElementType type>
			inline UInt StructuralMechanicsModel::getTangentStiffnessVoigtSize() {
			AKANTU_DEBUG_TO_IMPLEMENT();
			return 0;
			}

			/* -------------------------------------------------------------------------- */
			template <ElementType type>
			void StructuralMechanicsModel::assembleStiffnessMatrix() {
			AKANTU_DEBUG_IN();

			UInt nb_element = getFEEngine().getMesh().getNbElement(type);
			UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
			UInt nb_quadrature_points = getFEEngine().getNbIntegrationPoints(type);

			UInt tangent_size = getTangentStiffnessVoigtSize<type>();

			Array<Real> tangent_moduli(nb_element * nb_quadrature_points,
			tangent_size * tangent_size, 0.,
			"tangent_stiffness_matrix");

			computeTangentModuli<type>(tangent_moduli);

			/// compute @f$\mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
			UInt bt_d_b_size = nb_degree_of_freedom * nb_nodes_per_element;

			Array<Real> bt_d_b(nb_element * nb_quadrature_points,
			bt_d_b_size * bt_d_b_size, "B^tDB");

			Array<Real> b(nb_element * nb_quadrature_points, tangent_size * bt_d_b_size,
			"B");

			transferBMatrixToSymVoigtBMatrix<type>(b);

			Matrix<Real> Bt_D(bt_d_b_size, tangent_size);
			Matrix<Real> BT(tangent_size, bt_d_b_size);

			auto B = b.begin(tangent_size, bt_d_b_size);
			auto D = tangent_moduli.begin(tangent_size, tangent_size);
			auto Bt_D_B = bt_d_b.begin(bt_d_b_size, bt_d_b_size);
			auto T = rotation_matrix(type).begin(bt_d_b_size, bt_d_b_size);

			for (UInt e = 0; e < nb_element; ++e, ++T) {
			for (UInt q = 0; q < nb_quadrature_points; ++q, ++B, ++D, ++Bt_D_B) {
			BT.mul<false, false>(B, T);
			Bt_D.mul<true, false>(BT, *D);
			Bt_D_B->mul<false, false>(Bt_D, BT);
			}
			}

			/// compute @f$ k_e = \int_e \mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
			Array<Real> int_bt_d_b(nb_element, bt_d_b_size * bt_d_b_size, "int_B^tDB");

			getFEEngine().integrate(bt_d_b, int_bt_d_b, bt_d_b_size * bt_d_b_size, type);

			getDOFManager().assembleElementalMatricesToMatrix("K", "displacement",
			int_bt_d_b, type);

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			template <ElementType type>
			void StructuralMechanicsModel::computeTangentModuli(Array<Real> &) {
			AKANTU_DEBUG_TO_IMPLEMENT();
			}

			/* -------------------------------------------------------------------------- */
			template <ElementType type>
			void StructuralMechanicsModel::transferBMatrixToSymVoigtBMatrix(Array<Real> &,
			bool) {
			AKANTU_DEBUG_TO_IMPLEMENT();
			}

			/* -------------------------------------------------------------------------- */
			template <ElementType type>
			void StructuralMechanicsModel::computeStressOnQuad() {
			AKANTU_DEBUG_IN();

			Array<Real> & sigma = stress(type, _not_ghost);

			sigma.clear();
			const Mesh & mesh = getFEEngine().getMesh();

			UInt nb_element = mesh.getNbElement(type);
			UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
			UInt nb_quadrature_points = getFEEngine().getNbIntegrationPoints(type);

			UInt tangent_size = getTangentStiffnessVoigtSize<type>();

			Array<Real> * tangent_moduli =
			new Array<Real>(nb_element * nb_quadrature_points,
			tangent_size * tangent_size, "tangent_stiffness_matrix");
			tangent_moduli->clear();

			computeTangentModuli<type>(*tangent_moduli);

			/// compute DB
			UInt d_b_size = nb_degree_of_freedom * nb_nodes_per_element;

			Array<Real> * d_b = new Array<Real>(nb_element * nb_quadrature_points,
			d_b_size * tangent_size, "D*B");

			Array<Real> * b = new Array<Real>(nb_element * nb_quadrature_points,
			tangent_size * d_b_size, "B");

			transferBMatrixToSymVoigtBMatrix<type>(*b);

			Array<Real>::matrix_iterator B = b->begin(tangent_size, d_b_size);
			Array<Real>::matrix_iterator D =
			tangent_moduli->begin(tangent_size, tangent_size);
			Array<Real>::matrix_iterator D_B = d_b->begin(tangent_size, d_b_size);

			for (UInt e = 0; e < nb_element; ++e) {
			for (UInt q = 0; q < nb_quadrature_points; ++q, ++B, ++D, ++D_B) {
			D_B->mul<false, false>(D, B);
			}
			}

			delete b;
			delete tangent_moduli;

			/// compute DBu
			D_B = d_b->begin(tangent_size, d_b_size);
			Array<Real>::iterator<Vector<Real>> DBu = sigma.begin(tangent_size);
			Vector<Real> ul(d_b_size);

			Array<Real> u_el(0, d_b_size);
			FEEngine::extractNodalToElementField(mesh, *displacement_rotation, u_el,
			type);

			Array<Real>::vector_iterator ug = u_el.begin(d_b_size);
			Array<Real>::matrix_iterator T =
			rotation_matrix(type).begin(d_b_size, d_b_size);

			for (UInt e = 0; e < nb_element; ++e, ++T, ++ug) {
			ul.mul<false>(T, ug);
			for (UInt q = 0; q < nb_quadrature_points; ++q, ++D_B, ++DBu) {
			DBu->mul<false>(*D_B, ul);
			}
			}

			delete d_b;

			AKANTU_DEBUG_OUT();
			}

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

			UInt nb_element = getFEEngine().getMesh().getNbElement(type);
			UInt nb_nodes_per_element =
			getFEEngine().getMesh().getNbNodesPerElement(type);
			UInt 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> Nvoigt(nb_element * nb_quad, nb_degree_of_freedom *
			nb_degree_of_freedom *
			nb_nodes_per_element);
			transferNMatrixToSymVoigtNMatrix<type>(Nvoigt);

			auto N_it = Nvoigt.begin(nb_degree_of_freedom,
			nb_degree_of_freedom * nb_nodes_per_element);
			auto T_it =
			rotation_matrix(type).begin(nb_degree_of_freedom * nb_nodes_per_element,
			nb_degree_of_freedom * nb_nodes_per_element);
			auto te_it = tractions.begin(nb_degree_of_freedom);

			Array<Real> funct(nb_element * nb_quad,
			nb_degree_of_freedom * nb_nodes_per_element, 0.);
			auto Fe_it = funct.begin(nb_degree_of_freedom * nb_nodes_per_element);

			Vector<Real> fe(nb_degree_of_freedom * nb_nodes_per_element);
			for (UInt e = 0; e < nb_element; ++e, ++T_it) {
			const Matrix<Real> & T = *T_it;
			for (UInt q = 0; q < nb_quad; ++q, ++N_it, ++te_it, ++Fe_it) {
			const Matrix<Real> & N = *N_it;
			const Vector<Real> & te = *te_it;
			Vector<Real> & Fe = *Fe_it;

			// compute N^t tl
			fe.mul<true>(N, te);
			// turn N^t tl back in the global referential
			Fe.mul<true>(T, fe);
			}
			}

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

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

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

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			template <ElementType type>
			void StructuralMechanicsModel::computeForcesByGlobalTractionArray(
			const Array<Real> & traction_global) {
			AKANTU_DEBUG_IN();
			UInt nb_element = getFEEngine().getMesh().getNbElement(type);
			UInt nb_quad = getFEEngine().getNbIntegrationPoints(type);
			UInt nb_nodes_per_element =
			getFEEngine().getMesh().getNbNodesPerElement(type);

			std::stringstream name;
			name << id << ":structuralmechanics:imposed_linear_load";
			Array<Real> traction_local(nb_element * nb_quad, nb_degree_of_freedom,
			name.str());

			auto T_it =
			rotation_matrix(type).begin(nb_degree_of_freedom * nb_nodes_per_element,
			nb_degree_of_freedom * nb_nodes_per_element);

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

			Matrix<Real> R(nb_degree_of_freedom, nb_degree_of_freedom);
			for (UInt e = 0; e < nb_element; ++e, ++T_it) {
			const Matrix<Real> & T = *T_it;
			for (UInt i = 0; i < nb_degree_of_freedom; ++i)
			for (UInt j = 0; j < nb_degree_of_freedom; ++j)
			R(i, j) = T(i, j);

			for (UInt q = 0; q < nb_quad; ++q, ++Te_it, ++te_it) {
			const Vector<Real> & Te = *Te_it;
			Vector<Real> & te = *te_it;
			// turn the traction in the local referential
			te.mul<false>(R, Te);
			}
			}

			computeForcesByLocalTractionArray<type>(traction_local);

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			/**
			* @param myf pointer to a function that fills a vector/tensor with respect to
			* passed coordinates
			*/
			// template <ElementType type>
			// inline void StructuralMechanicsModel::computeForcesFromFunction(
			// BoundaryFunction myf, BoundaryFunctionType function_type) {
			// /** function type is
			// ** _bft_forces : linear load is given
			// ** _bft_stress : stress function is given -> Not already done for this kind
			// *of model
			// */

			// std::stringstream name;
			// name << id << ":structuralmechanics:imposed_linear_load";
			// Array<Real> lin_load(0, nb_degree_of_freedom, name.str());
			// name.clear();

			// UInt offset = nb_degree_of_freedom;

			// // prepare the loop over element types
			// UInt nb_quad = getFEEngine().getNbIntegrationPoints(type);
			// UInt nb_element = getFEEngine().getMesh().getNbElement(type);

			// name.clear();
			// name << id << ":structuralmechanics:quad_coords";
			// Array<Real> quad_coords(nb_element * nb_quad, spatial_dimension,
			// "quad_coords");

			// getFEEngineClass<MyFEEngineType>()
			// .getShapeFunctions()
			// .interpolateOnIntegrationPoints<type>(mesh.getNodes(), quad_coords,
			// spatial_dimension);
			// getFEEngineClass<MyFEEngineType>()
			// .getShapeFunctions()
			// .interpolateOnIntegrationPoints<type>(mesh.getNodes(), quad_coords,
			// spatial_dimension, _not_ghost,
			// empty_filter, true, 0, 1, 1);
			// if (spatial_dimension == 3)
			// getFEEngineClass<MyFEEngineType>()
			// .getShapeFunctions()
			// .interpolateOnIntegrationPoints<type>(
			// getFEEngine().getMesh().getNodes(), quad_coords, spatial_dimension,
			// _not_ghost, empty_filter, true, 0, 2, 2);
			// lin_load.resize(nb_element * nb_quad);
			// Real * imposed_val = lin_load.storage();

			// /// sigma/load on each quadrature points
			// Real * qcoord = quad_coords.storage();
			// for (UInt el = 0; el < nb_element; ++el) {
			// for (UInt q = 0; q < nb_quad; ++q) {
			// myf(qcoord, imposed_val, NULL, 0);
			// imposed_val += offset;
			// qcoord += spatial_dimension;
			// }
			// }

			// switch (function_type) {
			// case _bft_traction_local:
			// computeForcesByLocalTractionArray<type>(lin_load);
			// break;
			// case _bft_traction:
			// computeForcesByGlobalTractionArray<type>(lin_load);
			// break;
			// default:
			// break;
			// }
			// }

			} // namespace akantu

			#endif /* __AKANTU_STRUCTURAL_MECHANICS_MODEL_INLINE_IMPL_CC__ */

rAKA/src/model/structural_mechanics/structural_mechanics_model_inline_impl.cc093ec27b2599features/node_to_node

structural_mechanics_model_inline_impl.ccView Options

rAKA/src/model/structural_mechanics/structural_mechanics_model_inline_impl.cc
093ec27b2599features/node_to_node

structural_mechanics_model_inline_impl.cc
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