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material_igfem.cc
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rAKA akantu
material_igfem.cc
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/**
* @file element_class_igfem.hh
*
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
*
* @brief Implementation parent material for IGFEM
*
*
* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
*/
#include "material_igfem.hh"
#include "aka_math.hh"
namespace akantu {
/* -------------------------------------------------------------------------- */
MaterialIGFEM::MaterialIGFEM(SolidMechanicsModel & model, const ID & id)
: Material(model, id), nb_sub_materials(2),
sub_material("sub_material", *this), name_sub_mat_1(""),
name_sub_mat_2("") {
AKANTU_DEBUG_IN();
this->model = dynamic_cast<SolidMechanicsModelIGFEM *>(&model);
this->fem = &(model.getFEEngineClass<MyFEEngineIGFEMType>("IGFEMFEEngine"));
this->model->getMesh().initElementTypeMapArray(
element_filter, 1, spatial_dimension, false, _ek_igfem);
this->initialize();
AKANTU_DEBUG_OUT();
};
/* -------------------------------------------------------------------------- */
MaterialIGFEM::~MaterialIGFEM() {
AKANTU_DEBUG_IN();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void MaterialIGFEM::initialize() {
this->gradu.setElementKind(_ek_igfem);
this->stress.setElementKind(_ek_igfem);
this->eigengradu.setElementKind(_ek_igfem);
this->gradu.setFEEngine(*fem);
this->stress.setFEEngine(*fem);
this->eigengradu.setFEEngine(*fem);
registerParam("name_sub_mat_1", name_sub_mat_1, std::string(),
_pat_parsable | _pat_readable);
registerParam("name_sub_mat_2", name_sub_mat_2, std::string(),
_pat_parsable | _pat_readable);
this->sub_material.initialize(1);
}
/* -------------------------------------------------------------------------- */
void MaterialIGFEM::computeQuadraturePointsCoordinates(
ElementTypeMapArray<Real> & quadrature_points_coordinates,
GhostType ghost_type) const {
AKANTU_DEBUG_IN();
/// compute quadrature points position in undeformed configuration
Array<Real> & nodes_coordinates = this->fem->getMesh().getNodes();
Mesh::type_iterator it =
this->element_filter.firstType(spatial_dimension, ghost_type, _ek_igfem);
Mesh::type_iterator last_type =
this->element_filter.lastType(spatial_dimension, ghost_type, _ek_igfem);
for (; it != last_type; ++it) {
const Array<UInt> & elem_filter = this->element_filter(*it, ghost_type);
UInt nb_element = elem_filter.getSize();
if (nb_element) {
UInt nb_tot_quad =
this->fem->getNbIntegrationPoints(*it, ghost_type) * nb_element;
Array<Real> & quads = quadrature_points_coordinates(*it, ghost_type);
quads.resize(nb_tot_quad);
this->model->getFEEngine("IGFEMFEEngine")
.interpolateOnIntegrationPoints(nodes_coordinates, quads,
spatial_dimension, *it, ghost_type,
elem_filter);
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Compute the stress from the gradu
*
* @param[in] current_position nodes postition + displacements
* @param[in] ghost_type compute the residual for _ghost or _not_ghost element
*/
void MaterialIGFEM::computeAllStresses(GhostType ghost_type) {
AKANTU_DEBUG_IN();
UInt spatial_dimension = model->getSpatialDimension();
Mesh::type_iterator it =
this->fem->getMesh().firstType(spatial_dimension, ghost_type, _ek_igfem);
Mesh::type_iterator last_type =
this->fem->getMesh().lastType(spatial_dimension, ghost_type, _ek_igfem);
for (; it != last_type; ++it) {
Array<UInt> & elem_filter = element_filter(*it, ghost_type);
if (elem_filter.getSize()) {
Array<Real> & gradu_vect = gradu(*it, ghost_type);
/// compute @f$\nabla u@f$
this->fem->gradientOnIntegrationPoints(model->getDisplacement(),
gradu_vect, spatial_dimension, *it,
ghost_type, elem_filter);
gradu_vect -= eigengradu(*it, ghost_type);
/// compute @f$\mathbf{\sigma}_q@f$ from @f$\nabla u@f$
computeStress(*it, ghost_type);
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/// extrapolate internal values
void MaterialIGFEM::extrapolateInternal(const ID & id, const Element & element,
const Matrix<Real> & point,
Matrix<Real> & extrapolated) {
if (this->isInternal<Real>(id, element.kind)) {
UInt nb_element =
this->element_filter(element.type, element.ghost_type).getSize();
const ID name = this->getID() + ":" + id;
UInt nb_quads =
this->internal_vectors_real[name]->getFEEngine().getNbIntegrationPoints(
element.type, element.ghost_type);
const Array<Real> & internal =
this->getArray<Real>(id, element.type, element.ghost_type);
UInt nb_component = internal.getNbComponent();
Array<Real>::const_matrix_iterator internal_it =
internal.begin_reinterpret(nb_component, nb_quads, nb_element);
Element local_element = this->convertToLocalElement(element);
/// instead of really extrapolating, here the value of the first GP
/// is copied into the result vector. This works only for linear
/// elements
/// @todo extrapolate!!!!
AKANTU_DEBUG_WARNING("This is a fix, values are not truly extrapolated");
const Matrix<Real> & values = internal_it[local_element.element];
UInt index = 0;
Vector<Real> tmp(nb_component);
for (UInt j = 0; j < values.cols(); ++j) {
tmp = values(j);
if (tmp.norm() > Math::getTolerance()) {
index = j;
break;
}
}
for (UInt i = 0; i < extrapolated.size(); ++i) {
extrapolated(i) = values(index);
}
} else {
Matrix<Real> default_values(extrapolated.rows(), extrapolated.cols(), 0.);
extrapolated = default_values;
}
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
void MaterialIGFEM::setSubMaterial(const Array<Element> & element_list,
GhostType ghost_type) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
/* -------------------------------------------------------------------------- */
template <>
void MaterialIGFEM::setSubMaterial<_igfem_triangle_5>(
const Array<Element> & element_list, GhostType ghost_type) {
SolidMechanicsModelIGFEM * igfem_model =
static_cast<SolidMechanicsModelIGFEM *>(this->model);
Vector<UInt> sub_material_index(this->nb_sub_materials);
Array<Element>::const_iterator<Element> el_begin = element_list.begin();
Array<Element>::const_iterator<Element> el_end = element_list.end();
const Mesh & mesh = this->model->getMesh();
Array<Real> nodes_coordinates(mesh.getNodes(), true);
Array<Real>::const_vector_iterator nodes_it =
nodes_coordinates.begin(spatial_dimension);
Element el;
el.kind = _ek_igfem;
el.type = _igfem_triangle_5;
el.ghost_type = ghost_type;
UInt nb_nodes_per_el = mesh.getNbNodesPerElement(el.type);
UInt nb_parent_nodes = IGFEMHelper::getNbParentNodes(el.type);
Vector<bool> is_inside(nb_parent_nodes);
const Array<UInt> & connectivity = mesh.getConnectivity(el.type, ghost_type);
Array<UInt>::const_vector_iterator connec_it =
connectivity.begin(nb_nodes_per_el);
/// get the number of quadrature points for the two sub-elements
UInt quads_1 = IGFEMHelper::getNbQuadraturePoints(el.type, 0);
UInt quads_2 = IGFEMHelper::getNbQuadraturePoints(el.type, 1);
UInt nb_total_quads = quads_1 + quads_2;
UInt * sub_mat_ptr = this->sub_material(el.type, ghost_type).storage();
/// loop all elements for the given type
const Array<UInt> & filter = this->element_filter(el.type, ghost_type);
UInt nb_elements = filter.getSize();
for (UInt e = 0; e < nb_elements; ++e, ++connec_it) {
el.element = filter(e);
if (std::find(el_begin, el_end, el) == el_end) {
sub_mat_ptr += nb_total_quads;
continue;
}
for (UInt i = 0; i < nb_parent_nodes; ++i) {
Vector<Real> node = nodes_it[(*connec_it)(i)];
is_inside(i) = igfem_model->isInside(node, this->name_sub_mat_1);
}
UInt orientation = IGFEMHelper::getElementOrientation(el.type, is_inside);
switch (orientation) {
case 0: {
sub_material_index(0) = 0;
sub_material_index(1) = 1;
break;
}
case 1: {
sub_material_index(0) = 1;
sub_material_index(1) = 0;
break;
}
case 2: {
sub_material_index(0) = 0;
sub_material_index(1) = 0;
break;
}
case 3: {
sub_material_index(0) = 1;
sub_material_index(0) = 1;
break;
}
}
for (UInt q = 0; q < quads_1; ++q, ++sub_mat_ptr) {
UInt index = sub_material_index(0);
*sub_mat_ptr = index;
}
for (UInt q = 0; q < quads_2; ++q, ++sub_mat_ptr) {
UInt index = sub_material_index(1);
*sub_mat_ptr = index;
}
}
}
/* -------------------------------------------------------------------------- */
template <>
void MaterialIGFEM::setSubMaterial<_igfem_triangle_4>(
const Array<Element> & element_list, GhostType ghost_type) {
SolidMechanicsModelIGFEM * igfem_model =
static_cast<SolidMechanicsModelIGFEM *>(this->model);
Vector<UInt> sub_material_index(this->nb_sub_materials);
Array<Element>::const_iterator<Element> el_begin = element_list.begin();
Array<Element>::const_iterator<Element> el_end = element_list.end();
const Mesh & mesh = this->model->getMesh();
Element el;
el.kind = _ek_igfem;
el.ghost_type = ghost_type;
el.type = _igfem_triangle_4;
UInt nb_nodes_per_el = mesh.getNbNodesPerElement(el.type);
Vector<Real> barycenter(spatial_dimension);
const Array<UInt> & connectivity = mesh.getConnectivity(el.type, ghost_type);
Array<UInt>::const_vector_iterator connec_it =
connectivity.begin(nb_nodes_per_el);
/// get the number of quadrature points for the two sub-elements
UInt quads_1 = IGFEMHelper::getNbQuadraturePoints(el.type, 0);
UInt quads_2 = IGFEMHelper::getNbQuadraturePoints(el.type, 1);
UInt nb_total_quads = quads_1 + quads_2;
UInt * sub_mat_ptr = this->sub_material(el.type, ghost_type).storage();
/// loop all elements for the given type
const Array<UInt> & filter = this->element_filter(el.type, ghost_type);
UInt nb_elements = filter.getSize();
for (UInt e = 0; e < nb_elements; ++e, ++connec_it) {
el.element = filter(e);
if (std::find(el_begin, el_end, el) == el_end) {
sub_mat_ptr += nb_total_quads;
continue;
}
for (UInt s = 0; s < this->nb_sub_materials; ++s) {
igfem_model->getSubElementBarycenter(el.element, s, el.type, barycenter,
ghost_type);
sub_material_index(s) =
1 - igfem_model->isInside(barycenter, this->name_sub_mat_1);
}
for (UInt q = 0; q < quads_1; ++q, ++sub_mat_ptr) {
UInt index = sub_material_index(0);
*sub_mat_ptr = index;
}
for (UInt q = 0; q < quads_2; ++q, ++sub_mat_ptr) {
UInt index = sub_material_index(1);
*sub_mat_ptr = index;
}
}
}
/* -------------------------------------------------------------------------- */
void MaterialIGFEM::applyEigenGradU(
const Matrix<Real> & prescribed_eigen_grad_u, const ID & id,
const GhostType ghost_type) {
std::map<UInt, ID>::const_iterator sub_mat_it =
this->sub_material_names.begin();
for (; sub_mat_it != sub_material_names.end(); ++sub_mat_it) {
if (sub_mat_it->second == id) {
UInt sub_element_index = sub_mat_it->first;
ElementTypeMapArray<UInt>::type_iterator it =
this->element_filter.firstType(_all_dimensions, ghost_type,
_ek_not_defined);
ElementTypeMapArray<UInt>::type_iterator end =
element_filter.lastType(_all_dimensions, ghost_type, _ek_not_defined);
for (; it != end; ++it) {
ElementType type = *it;
if (!element_filter(type, ghost_type).getSize())
continue;
Array<Real>::matrix_iterator eigen_it =
this->eigengradu(type, ghost_type)
.begin(spatial_dimension, spatial_dimension);
Array<Real>::matrix_iterator eigen_end =
this->eigengradu(type, ghost_type)
.end(spatial_dimension, spatial_dimension);
UInt * sub_mat_ptr = this->sub_material(type, ghost_type).storage();
for (; eigen_it != eigen_end; ++eigen_it, ++sub_mat_ptr) {
if (*sub_mat_ptr == sub_element_index) {
Matrix<Real> & current_eigengradu = *eigen_it;
current_eigengradu = prescribed_eigen_grad_u;
}
}
}
}
}
}
} // namespace akantu
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