Diffusion akantu (features/energy_computations) Browse

energy_computa…

structural_mechanics_model_inline_impl.cc
View Options

			/**
			* @file structural_mechanics_model_inline_impl.cc
			*
			* @author Sébastien Hartmann <sebastien.hartmann@epfl.ch>
			* @author Damien Spielmann <damien.spielmann@epfl.ch>
			* @author Nicolas Richart <nicolas.richart@epfl.ch>
			* @author Fabian Barras <fabian.barras@epfl.ch>
			*
			* @date creation: Fri Jul 15 2011
			* @date last modification: Tue Sep 02 2014
			*
			* @brief Implementation of inline functions of StructuralMechanicsModel
			*
			* @section LICENSE
			*
			* Copyright (©) 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/>.
			*
			*/

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

			template<>
			inline UInt StructuralMechanicsModel::getTangentStiffnessVoigtSize<_bernoulli_beam_2>() {
			return 2;
			}

			template<>
			inline UInt StructuralMechanicsModel::getTangentStiffnessVoigtSize<_bernoulli_beam_3>() {
			return 4;
			}

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

			template<>
			inline UInt StructuralMechanicsModel::getTangentStiffnessVoigtSize<_kirchhoff_shell>() {
			return 6;
			}


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

			SparseMatrix & K = *stiffness_matrix;

			UInt nb_element = getFEEngine().getMesh().getNbElement(type);
			UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
			UInt nb_quadrature_points = getFEEngine().getNbQuadraturePoints(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 @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 = new Array<Real>(nb_element*nb_quadrature_points,
			bt_d_b_size * bt_d_b_size,
			"B^tDB");

			Array<Real> * b = new Array<Real>(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);

			Array<Real>::matrix_iterator B = b->begin(tangent_size, bt_d_b_size);
			Array<Real>::matrix_iterator D = tangent_moduli->begin(tangent_size, tangent_size);
			Array<Real>::matrix_iterator Bt_D_B = bt_d_b->begin(bt_d_b_size, bt_d_b_size);
			Array<Real>::matrix_iterator 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);
			}
			}

			delete b;
			delete tangent_moduli;

			/// compute @f$ k_e = \int_e \mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
			Array<Real> * int_bt_d_b = new Array<Real>(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);

			delete bt_d_b;

			getFEEngine().assembleMatrix(*int_bt_d_b, K, nb_degree_of_freedom, type);

			delete int_bt_d_b;

			AKANTU_DEBUG_OUT();
			}

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


			/* -------------------------------------------------------------------------- */
			template<ElementType type>
			void StructuralMechanicsModel::transferBMatrixToSymVoigtBMatrix(Array<Real> & b, bool local) {
			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().getNbQuadraturePoints(type);

			UInt tangent_size = getTangentStiffnessVoigtSize<type>();

			Array<Real> * tangent_moduli =
			new Array<Real>(nb_elementnb_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().getNbQuadraturePoints(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.getSize() == 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);

			Array<Real>::const_matrix_iterator N_it = Nvoigt.begin(nb_degree_of_freedom,
			nb_degree_of_freedom * nb_nodes_per_element);
			Array<Real>::const_matrix_iterator T_it = rotation_matrix(type).begin(nb_degree_of_freedom * nb_nodes_per_element,
			nb_degree_of_freedom * nb_nodes_per_element);
			Array<Real>::const_vector_iterator te_it = tractions.begin(nb_degree_of_freedom);

			Array<Real> funct(nb_element * nb_quad, nb_degree_of_freedom * nb_nodes_per_element, 0.);
			Array<Real>::iterator< Vector<Real> > 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
			std::stringstream name;
			name << id << type << ":integral_boundary";
			Array<Real> int_funct(nb_element, nb_degree_of_freedom * nb_nodes_per_element, name.str());

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

			// assemble the result into force vector
			getFEEngine().assembleArray(int_funct,*force_momentum,
			dof_synchronizer->getLocalDOFEquationNumbers(),
			nb_degree_of_freedom, type);
			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().getNbQuadraturePoints(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());

			Array<Real>::const_matrix_iterator T_it = rotation_matrix(type).begin(nb_degree_of_freedom * nb_nodes_per_element,
			nb_degree_of_freedom * nb_nodes_per_element);

			Array<Real>::const_iterator< Vector<Real> > Te_it = traction_global.begin(nb_degree_of_freedom);
			Array<Real>::iterator< Vector<Real> > 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().getNbQuadraturePoints(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().interpolateOnControlPoints<type>(getFEEngine().getMesh().getNodes(),
			quad_coords,
			spatial_dimension);
			getFEEngineClass<MyFEEngineType>().getShapeFunctions().interpolateOnControlPoints<type>(getFEEngine().getMesh().getNodes(),
			quad_coords,
			spatial_dimension,
			_not_ghost,
			empty_filter,
			true,
			0,
			1,
			1);
			if(spatial_dimension == 3)
			getFEEngineClass<MyFEEngineType>().getShapeFunctions().interpolateOnControlPoints<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;
			}
			}

			/* -------------------------------------------------------------------------- */
			template<>
			inline void StructuralMechanicsModel::assembleMass<_bernoulli_beam_2>() {
			AKANTU_DEBUG_IN();

			GhostType ghost_type = _not_ghost;
			ElementType type = _bernoulli_beam_2;
			MyFEEngineType & fem = getFEEngineClass<MyFEEngineType>();
			UInt nb_element = getFEEngine().getMesh().getNbElement(type);
			UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
			UInt nb_quadrature_points = getFEEngine().getNbQuadraturePoints(type);
			UInt nb_fields_to_interpolate = getTangentStiffnessVoigtSize<_bernoulli_beam_2>();

			UInt nt_n_field_size = nb_degree_of_freedom * nb_nodes_per_element;

			Array<Real> * n = new Array<Real>(nb_element*nb_quadrature_points,
			nb_fields_to_interpolate * nt_n_field_size,
			"N");
			n->clear();
			Array<Real> * rho_field = new Array<Real>(nb_element*nb_quadrature_points,
			"Rho");
			rho_field->clear();
			computeRho(*rho_field, type, _not_ghost);

			bool sign = true;

			/* -------------------------------------------------------------------------- */
			fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n, 0, 0, 0, sign, ghost_type); // Ni ui -> u

			fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n, 1, 1, 1, sign, ghost_type); // Mi vi -> v
			fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n, 2, 2, 1, sign, ghost_type); // Li Theta_i -> v
			/* -------------------------------------------------------------------------- */

			fem.assembleFieldMatrix(rho_field, nb_degree_of_freedom, mass_matrix, n, rotation_matrix, type, ghost_type);

			delete n;
			delete rho_field;
			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			template<>
			inline void StructuralMechanicsModel::assembleMass<_bernoulli_beam_3>() {
			AKANTU_DEBUG_IN();

			GhostType ghost_type = _not_ghost;
			ElementType type = _bernoulli_beam_3;
			MyFEEngineType & fem = getFEEngineClass<MyFEEngineType>();
			UInt nb_element = getFEEngine().getMesh().getNbElement(type);
			UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
			UInt nb_quadrature_points = getFEEngine().getNbQuadraturePoints(type);
			UInt nb_fields_to_interpolate = getTangentStiffnessVoigtSize<_bernoulli_beam_3>();

			UInt nt_n_field_size = nb_degree_of_freedom * nb_nodes_per_element;

			Array<Real> * n = new Array<Real>(nb_element*nb_quadrature_points,
			nb_fields_to_interpolate * nt_n_field_size,
			"N");
			n->clear();
			Array<Real> * rho_field = new Array<Real>(nb_element * nb_quadrature_points,
			"Rho");
			rho_field->clear();
			computeRho(*rho_field, type, _not_ghost);

			/* -------------------------------------------------------------------------- */
			fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n, 0, 0, 0, true, ghost_type); // Ni ui -> u

			fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n, 1, 1, 1, true, ghost_type); // Mi vi -> v
			fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n, 2, 5, 1, true, ghost_type); // Li Theta_z_i -> v

			fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n, 1, 2, 2, true, ghost_type); // Mi wi -> w
			fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n, 2, 4, 2, false,ghost_type);// -Li Theta_y_i -> w

			fem.computeShapesMatrix(type, nb_degree_of_freedom, nb_nodes_per_element, n, 0, 3, 3, true, ghost_type); // Ni Theta_x_i->Theta_x
			/* -------------------------------------------------------------------------- */

			fem.assembleFieldMatrix(rho_field, nb_degree_of_freedom, mass_matrix, n, rotation_matrix, type, ghost_type);

			delete n;
			delete rho_field;
			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			template<>
			inline void StructuralMechanicsModel::assembleMass<_kirchhoff_shell>() {

			AKANTU_DEBUG_TO_IMPLEMENT();

			}

			/* -------------------------------------------------------------------------- */
			/* -------------------------------------------------------------------------- */
			template<SolveConvergenceMethod cmethod, SolveConvergenceCriteria criteria>
			bool StructuralMechanicsModel::solveStep(Real tolerance,
			UInt max_iteration) {
			Real error = 0.;
			return this->template solveStep<cmethod,criteria>(tolerance,
			error,
			max_iteration);
			}

			/* -------------------------------------------------------------------------- */
			template<SolveConvergenceMethod cmethod, SolveConvergenceCriteria criteria>
			bool StructuralMechanicsModel::solveStep(Real tolerance, Real & error, UInt max_iteration) {

			this->implicitPred();
			this->updateResidual();

			AKANTU_DEBUG_ASSERT(stiffness_matrix != NULL,
			"You should first initialize the implicit solver and assemble the stiffness matrix");

			if (method==_implicit_dynamic) {
			AKANTU_DEBUG_ASSERT(mass_matrix != NULL,
			"You should first initialize the implicit solver and assemble the mass matrix");
			}

			switch (cmethod) {
			case _scm_newton_raphson_tangent:
			case _scm_newton_raphson_tangent_not_computed:
			break;
			case _scm_newton_raphson_tangent_modified:
			this->assembleStiffnessMatrix();
			break;
			default:
			AKANTU_DEBUG_ERROR("The resolution method " << cmethod << " has not been implemented!");
			}

			UInt iter = 0;
			bool converged = false;
			error = 0.;
			if(criteria == _scc_residual) {
			converged = this->testConvergence<criteria> (tolerance, error);
			if(converged) return converged;
			}

			do {
			if (cmethod == _scm_newton_raphson_tangent)
			this->assembleStiffnessMatrix();

			solve<NewmarkBeta::_displacement_corrector> (*increment);

			this->implicitCorr();

			if(criteria == _scc_residual) this->updateResidual();

			converged = this->testConvergence<criteria> (tolerance, error);

			if(criteria == _scc_increment && !converged) this->updateResidual();
			//this->dump();

			iter++;
			AKANTU_DEBUG_INFO("[" << criteria << "] Convergence iteration "
			<< std::setw(std::log10(max_iteration)) << iter
			<< ": error " << error << (converged ? " < " : " > ") << tolerance);

			} while (!converged && iter < max_iteration);


			if (converged) {

			} else if(iter == max_iteration) {
			AKANTU_DEBUG_WARNING("[" << criteria << "] Convergence not reached after "
			<< std::setw(std::log10(max_iteration)) << iter <<
			" iteration" << (iter == 1 ? "" : "s") << "!" << std::endl);
			}

			return converged;
			}
			/* -------------------------------------------------------------------------- */
			template<NewmarkBeta::IntegrationSchemeCorrectorType type>
			void StructuralMechanicsModel::solve(Array<Real> & increment,
			Real block_val) {
			jacobian_matrix->clear();

			//updateResidualInternal(); //doesn't do anything for static

			Real c = 0.,d = 0.,e = 0.;

			if(method == _static) {
			AKANTU_DEBUG_INFO("Solving K inc = r");
			e = 1.;
			} else {
			AKANTU_DEBUG_INFO("Solving (c M + d C + e K) inc = r");

			NewmarkBeta * nmb_int = dynamic_cast<NewmarkBeta *>(integrator);
			c = nmb_int->getAccelerationCoefficient<type>(time_step);
			d = nmb_int->getVelocityCoefficient<type>(time_step);
			e = nmb_int->getDisplacementCoefficient<type>(time_step);
			}

			// J = c M + d C + e K
			if(stiffness_matrix)
			jacobian_matrix->add(*stiffness_matrix, e);

			// if(type != NewmarkBeta::_acceleration_corrector)
			// jacobian_matrix->add(*stiffness_matrix, e);

			if(mass_matrix)
			jacobian_matrix->add(*mass_matrix, c);

			#if !defined(AKANTU_NDEBUG)
			if(mass_matrix && AKANTU_DEBUG_TEST(dblDump))
			mass_matrix->saveMatrix("M.mtx");
			#endif

			if(velocity_damping_matrix)
			jacobian_matrix->add(*velocity_damping_matrix, d);

			jacobian_matrix->applyBoundary(*blocked_dofs);

			#if !defined(AKANTU_NDEBUG)
			if(AKANTU_DEBUG_TEST(dblDump))
			jacobian_matrix->saveMatrix("J.mtx");
			#endif

			solver->setRHS(*residual);
			// solve @f[ J \delta w = r @f]
			solver->factorize();
			solver->solve(increment);
			}

rAKA/src/model/structural_mechanics/structural_mechanics_model_inline_impl.cce4b2e5ccde02features/energy_computa…

structural_mechanics_model_inline_impl.ccView Options

rAKA/src/model/structural_mechanics/structural_mechanics_model_inline_impl.cc
e4b2e5ccde02features/energy_computa…

structural_mechanics_model_inline_impl.cc
View Options