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test_cohesive_parallel_extrinsic_tetrahedron.cc
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			/**
			* @file test_cohesive_parallel_extrinsic_tetrahedron.cc
			*
			* @author Marco Vocialta <marco.vocialta@epfl.ch>
			*
			*
			* @brief 3D extrinsic cohesive elements test
			*
			* @section LICENSE
			*
			* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
			* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
			*
			*/

			/* -------------------------------------------------------------------------- */
			#include "solid_mechanics_model_cohesive.hh"
			#include "material_cohesive_linear.hh"

			/* -------------------------------------------------------------------------- */
			using namespace akantu;

			Real function(Real constant, Real x, Real y, Real z) {
			return constant + 2. * x + 3. * y + 4 * z;
			}

			int main(int argc, char *argv[]) {
			initialize("material.dat", argc, argv);

			debug::setDebugLevel(dblWarning);

			// const UInt max_steps = 1000;
			// Real increment = 0.005;
			const UInt spatial_dimension = 3;
			Math::setTolerance(1.e-12);

			ElementType type = _tetrahedron_10;
			ElementType type_facet = Mesh::getFacetType(type);
			ElementType type_cohesive = FEEngine::getCohesiveElementType(type_facet);

			Mesh mesh(spatial_dimension);

			StaticCommunicator & comm = StaticCommunicator::getStaticCommunicator();
			Int psize = comm.getNbProc();
			Int prank = comm.whoAmI();

			akantu::MeshPartition * partition = NULL;
			if(prank == 0) {
			// Read the mesh
			mesh.read("tetrahedron.msh");

			/// partition the mesh
			partition = new MeshPartitionScotch(mesh, spatial_dimension);
			partition->partitionate(psize);
			}

			SolidMechanicsModelCohesive model(mesh);

			/// model initialization
			model.initParallel(partition, NULL, true);
			model.initFull(SolidMechanicsModelCohesiveOptions(_explicit_lumped_mass, true));

			const MaterialCohesiveLinear<3> & mat_cohesive
			= dynamic_cast < const MaterialCohesiveLinear<3> & > (model.getMaterial(1));

			const Real sigma_c = mat_cohesive.getParam< RandomInternalField<Real, FacetInternalField> >("sigma_c");
			const Real beta = mat_cohesive.getParam<Real>("beta");
			// const Real G_cI = mat_cohesive.getParam<Real>("G_cI");

			Array<Real> & position = mesh.getNodes();

			/* ------------------------------------------------------------------------ */
			/* Facet part */
			/* ------------------------------------------------------------------------ */

			/// compute quadrature points positions on facets
			const Mesh & mesh_facets = model.getMeshFacets();
			UInt nb_facet = mesh_facets.getNbElement(type_facet);
			UInt nb_quad_per_facet = model.getFEEngine("FacetsFEEngine").getNbIntegrationPoints(type_facet);
			UInt nb_tot_quad = nb_quad_per_facet * nb_facet;

			Array<Real> quad_facets(nb_tot_quad, spatial_dimension);

			model.getFEEngine("FacetsFEEngine").interpolateOnIntegrationPoints(position,
			quad_facets,
			spatial_dimension,
			type_facet);

			/* ------------------------------------------------------------------------ */
			/* End of facet part */
			/* ------------------------------------------------------------------------ */


			/// compute quadrature points position of the elements
			UInt nb_quad_per_element = model.getFEEngine().getNbIntegrationPoints(type);
			UInt nb_element = mesh.getNbElement(type);
			UInt nb_tot_quad_el = nb_quad_per_element * nb_element;

			Array<Real> quad_elements(nb_tot_quad_el, spatial_dimension);


			model.getFEEngine().interpolateOnIntegrationPoints(position,
			quad_elements,
			spatial_dimension,
			type);

			/// assign some values to stresses
			Array<Real> & stress
			= const_cast<Array<Real>&>(model.getMaterial(0).getStress(type));

			Array<Real>::iterator<Matrix<Real> > stress_it
			= stress.begin(spatial_dimension, spatial_dimension);

			for (UInt q = 0; q < nb_tot_quad_el; ++q, ++stress_it) {

			/// compute values
			for (UInt i = 0; i < spatial_dimension; ++i) {
			for (UInt j = i; j < spatial_dimension; ++j) {
			UInt index = i * spatial_dimension + j;
			(stress_it)(i, j) = index function(sigma_c * 5,
			quad_elements(q, 0),
			quad_elements(q, 1),
			quad_elements(q, 2));
			}
			}

			/// fill symmetrical part
			for (UInt i = 0; i < spatial_dimension; ++i) {
			for (UInt j = 0; j < i; ++j) {
			(stress_it)(i, j) = (stress_it)(j, i);
			}
			}
			}


			/// compute stress on facet quads
			Array<Real> stress_facets(nb_tot_quad, spatial_dimension * spatial_dimension);

			Array<Real>::iterator<Matrix<Real> > stress_facets_it
			= stress_facets.begin(spatial_dimension, spatial_dimension);

			for (UInt q = 0; q < nb_tot_quad; ++q, ++stress_facets_it) {
			/// compute values
			for (UInt i = 0; i < spatial_dimension; ++i) {
			for (UInt j = i; j < spatial_dimension; ++j) {
			UInt index = i * spatial_dimension + j;
			(stress_facets_it)(i, j) = index function(sigma_c * 5,
			quad_facets(q, 0),
			quad_facets(q, 1),
			quad_facets(q, 2));
			}
			}

			/// fill symmetrical part
			for (UInt i = 0; i < spatial_dimension; ++i) {
			for (UInt j = 0; j < i; ++j) {
			(stress_facets_it)(i, j) = (stress_facets_it)(j, i);
			}
			}
			}


			/// insert cohesive elements
			model.checkCohesiveStress();


			/// check insertion stress
			const Array<Real> & normals =
			model.getFEEngine("FacetsFEEngine").getNormalsOnIntegrationPoints(type_facet);
			const Array<Real> & tangents = model.getTangents(type_facet);
			const Array<Real> & sigma_c_eff = mat_cohesive.getInsertionTraction(type_cohesive);

			Vector<Real> normal_stress(spatial_dimension);

			const Array<std::vector<Element> > & coh_element_to_facet
			= mesh_facets.getElementToSubelement(type_facet);

			Array<Real>::iterator<Matrix<Real> > quad_facet_stress
			= stress_facets.begin(spatial_dimension, spatial_dimension);

			Array<Real>::const_iterator<Vector<Real> > quad_normal
			= normals.begin(spatial_dimension);

			Array<Real>::const_iterator<Vector<Real> > quad_tangents
			= tangents.begin(tangents.getNbComponent());

			for (UInt f = 0; f < nb_facet; ++f) {
			const Element & cohesive_element = coh_element_to_facet(f)[1];

			for (UInt q = 0; q < nb_quad_per_facet; ++q, ++quad_facet_stress,
			++quad_normal, ++quad_tangents) {
			if (cohesive_element == ElementNull) continue;

			normal_stress.mul<false>(quad_facet_stress, quad_normal);

			Real normal_contrib = normal_stress.dot(*quad_normal);

			Real first_tangent_contrib = 0;

			for (UInt dim = 0; dim < spatial_dimension; ++dim)
			first_tangent_contrib += normal_stress(dim) * (*quad_tangents)(dim);

			Real second_tangent_contrib = 0;

			for (UInt dim = 0; dim < spatial_dimension; ++dim)
			second_tangent_contrib
			+= normal_stress(dim) * (*quad_tangents)(dim + spatial_dimension);

			Real tangent_contrib = std::sqrt(first_tangent_contrib * first_tangent_contrib +
			second_tangent_contrib * second_tangent_contrib);

			normal_contrib = std::max(0., normal_contrib);

			Real effective_norm = std::sqrt(normal_contrib * normal_contrib
			+ tangent_contrib * tangent_contrib / beta / beta);

			if (effective_norm < sigma_c) continue;

			if (!Math::are_float_equal(effective_norm,
			sigma_c_eff(cohesive_element.element
			* nb_quad_per_facet + q))) {
			std::cout << "Insertion tractions do not match" << std::endl;
			finalize();
			return EXIT_FAILURE;
			}
			}
			}
			finalize();
			return EXIT_SUCCESS;
			}

rAKA/extra_packages/parallel-cohesive-element/test/test_parallel_cohesive/test_cohesive_parallel_extrinsic/test_cohesive_parallel_extrinsic_tetrahedron.cc03703fb0c5d5bugfixes/43-documentati…

test_cohesive_parallel_extrinsic_tetrahedron.ccView Options

rAKA/extra_packages/parallel-cohesive-element/test/test_parallel_cohesive/test_cohesive_parallel_extrinsic/test_cohesive_parallel_extrinsic_tetrahedron.cc
03703fb0c5d5bugfixes/43-documentati…

test_cohesive_parallel_extrinsic_tetrahedron.cc
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