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rAKA/test/test_parallel_cohesive/test_cohesive_parallel_extrinsic/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").getNbQuadraturePoints(type_facet);
UInt nb_tot_quad = nb_quad_per_facet * nb_facet;
Array<Real> quad_facets(nb_tot_quad, spatial_dimension);
model.getFEEngine("FacetsFEEngine").interpolateOnQuadraturePoints(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().getNbQuadraturePoints(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().interpolateOnQuadraturePoints(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").getNormalsOnQuadPoints(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;
}
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