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rAKA/src/model/solid_mechanics/material.cc
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material.cc
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/**
* Copyright (©) 2010-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* 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 "material.hh"
#include "mesh_iterators.hh"
#include "solid_mechanics_model.hh"
/* -------------------------------------------------------------------------- */
namespace akantu {
/* -------------------------------------------------------------------------- */
Material::Material(SolidMechanicsModel & model, const ID & id,
const ID & fe_engine_id)
: Parent(model, id, model.getSpatialDimension(), _ek_regular, fe_engine_id),
stress(registerInternal("stress", spatial_dimension * spatial_dimension,
fe_engine_id)),
eigengradu(registerInternal(
"eigen_grad_u", spatial_dimension * spatial_dimension, fe_engine_id)),
gradu(registerInternal("grad_u", spatial_dimension * spatial_dimension,
fe_engine_id)),
potential_energy(registerInternal("potential_energy", 1, fe_engine_id)),
interpolation_inverse_coordinates("interpolation inverse coordinates",
id),
interpolation_points_matrices("interpolation points matrices", id),
eigen_grad_u(model.getSpatialDimension(), model.getSpatialDimension()) {
eigen_grad_u.setZero();
registerParam("rho", rho, Real(0.), _pat_parsable | _pat_modifiable,
"Density");
registerParam("finite_deformation", finite_deformation, false,
_pat_parsable | _pat_readable, "Is finite deformation");
registerParam("inelastic_deformation", inelastic_deformation, false,
_pat_internal, "Is inelastic deformation");
registerParam("eigen_grad_u", eigen_grad_u, _pat_parsable, "EigenGradU");
this->getModel().registerEventHandler(*this);
}
/* -------------------------------------------------------------------------- */
void Material::initMaterial() {
AKANTU_DEBUG_IN();
if (finite_deformation) {
this->registerInternal("piola_kirchhoff_2",
spatial_dimension * spatial_dimension);
this->piola_kirchhoff_2 = this->getSharedPtrInternal("piola_kirchhoff_2");
this->piola_kirchhoff_2->initializeHistory();
this->registerInternal("green_strain",
spatial_dimension * spatial_dimension);
this->green_strain = this->getSharedPtrInternal("green_strain");
}
this->stress.initializeHistory();
this->gradu.initializeHistory();
Parent::initConstitutiveLaw();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void Material::updateInternalParameters() {
auto dim = getModel().getSpatialDimension();
for (const auto & type :
getElementFilter().elementTypes(_element_kind = _ek_regular)) {
for (auto eigen_gradu : make_view(eigengradu(type), dim, dim)) {
eigen_gradu = eigen_grad_u;
}
}
Parent::updateInternalParameters();
}
/* -------------------------------------------------------------------------- */
/**
* Compute the internal forces by assembling @f$\int_{e} \sigma_e \frac{\partial
* \varphi}{\partial X} dX @f$
*
* @param[in] ghost_type compute the internal forces for _ghost or _not_ghost
* element
*/
void Material::assembleInternalForces(GhostType ghost_type) {
AKANTU_DEBUG_IN();
Int spatial_dimension = getModel().getSpatialDimension();
tuple_dispatch<AllSpatialDimensions>(
[&](auto && _) {
constexpr auto dim = aka::decay_v<decltype(_)>;
for (auto && type :
getElementFilter().elementTypes(spatial_dimension, ghost_type)) {
if (not finite_deformation) {
this->assembleInternalForces<dim>(type, ghost_type);
} else {
this->assembleInternalForcesFiniteDeformation<dim>(type,
ghost_type);
}
}
},
spatial_dimension);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Compute the stress from the gradu
*
* @param[in] ghost_type compute the residual for _ghost or _not_ghost element
*/
void Material::computeAllStresses(GhostType ghost_type) {
AKANTU_DEBUG_IN();
auto spatial_dimension = getModel().getSpatialDimension();
auto & fem = getFEEngine();
for (const auto & type :
getElementFilter().elementTypes(spatial_dimension, ghost_type)) {
auto & elem_filter = getElementFilter(type, ghost_type);
if (elem_filter.empty()) {
continue;
}
auto & gradu_vect = gradu(type, ghost_type);
/// compute @f$\nabla u@f$
fem.gradientOnIntegrationPoints(getModel().getDisplacement(), gradu_vect,
spatial_dimension, type, ghost_type,
elem_filter);
gradu_vect -= eigengradu(type, ghost_type);
/// compute @f$\mathbf{\sigma}_q@f$ from @f$\nabla u@f$
computeStress(type, ghost_type);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void Material::computeAllCauchyStresses(GhostType ghost_type) {
AKANTU_DEBUG_IN();
AKANTU_DEBUG_ASSERT(finite_deformation, "The Cauchy stress can only be "
"computed if you are working in "
"finite deformation.");
for (auto type :
getElementFilter().elementTypes(spatial_dimension, ghost_type)) {
tuple_dispatch<AllSpatialDimensions>(
[&](auto && _) {
constexpr auto dim = aka::decay_v<decltype(_)>;
this->StoCauchy<dim>(type, ghost_type);
},
spatial_dimension);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void Material::StoCauchy(ElementType el_type, GhostType ghost_type) {
AKANTU_DEBUG_IN();
for (auto && [grad_u, piola, sigma] :
zip(make_view<dim, dim>(this->gradu(el_type, ghost_type)),
make_view<dim, dim>((*this->piola_kirchhoff_2)(el_type, ghost_type)),
make_view<dim, dim>(this->stress(el_type, ghost_type)))) {
Matrix<Real, dim, dim> F = gradUToF<dim>(grad_u);
this->StoCauchy<dim>(F, piola, sigma);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void Material::setToSteadyState(GhostType ghost_type) {
AKANTU_DEBUG_IN();
const auto & displacement = getModel().getDisplacement();
auto & fem = getFEEngine();
// resizeInternalArray(gradu);
auto spatial_dimension = getModel().getSpatialDimension();
for (auto type :
getElementFilter().elementTypes(spatial_dimension, ghost_type)) {
auto & elem_filter = getElementFilter(type, ghost_type);
auto & gradu_vect = gradu(type, ghost_type);
/// compute @f$\nabla u@f$
fem.gradientOnIntegrationPoints(displacement, gradu_vect, spatial_dimension,
type, ghost_type, elem_filter);
setToSteadyState(type, ghost_type);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Compute the stiffness matrix by assembling @f$\int_{\omega} B^t \times D
* \times B d\omega @f$
*
* @param[in] ghost_type compute the residual for _ghost or _not_ghost element
*/
void Material::assembleStiffnessMatrix(GhostType ghost_type) {
AKANTU_DEBUG_IN();
auto spatial_dimension = getModel().getSpatialDimension();
tuple_dispatch<AllSpatialDimensions>(
[&](auto && _) {
constexpr auto dim = aka::decay_v<decltype(_)>;
for (auto type :
getElementFilter().elementTypes(spatial_dimension, ghost_type)) {
if (finite_deformation) {
this->assembleStiffnessMatrixFiniteDeformation<dim>(type,
ghost_type);
} else {
this->assembleStiffnessMatrix<dim>(type, ghost_type);
}
}
},
spatial_dimension);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void Material::assembleStiffnessMatrix(ElementType type, GhostType ghost_type) {
tuple_dispatch<AllElementTypes>(
[&](auto && enum_type) {
constexpr auto type = aka::decay_v<decltype(enum_type)>;
this->assembleStiffnessMatrix<dim, type>(ghost_type);
},
type);
}
/* -------------------------------------------------------------------------- */
template <Int dim, ElementType type>
void Material::assembleStiffnessMatrix(GhostType ghost_type) {
AKANTU_DEBUG_IN();
const auto & elem_filter = getElementFilter(type, ghost_type);
if (elem_filter.empty()) {
AKANTU_DEBUG_OUT();
return;
}
auto & fem = getFEEngine();
auto & gradu_vect = gradu(type, ghost_type);
auto nb_element = elem_filter.size();
auto nb_quadrature_points = fem.getNbIntegrationPoints(type, ghost_type);
constexpr auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
constexpr auto tangent_size = getTangentStiffnessVoigtSize(dim);
gradu_vect.resize(nb_quadrature_points * nb_element);
fem.gradientOnIntegrationPoints(getModel().getDisplacement(), gradu_vect, dim,
type, ghost_type, elem_filter);
auto tangent_stiffness_matrix = std::make_unique<Array<Real>>(
nb_element * nb_quadrature_points, tangent_size * tangent_size,
"tangent_stiffness_matrix");
tangent_stiffness_matrix->zero();
computeTangentModuli(type, *tangent_stiffness_matrix, ghost_type);
/// compute @f$\mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
auto bt_d_b_size = dim * nb_nodes_per_element;
auto bt_d_b = std::make_unique<Array<Real>>(
nb_element * nb_quadrature_points, bt_d_b_size * bt_d_b_size, "B^t*D*B");
fem.computeBtDB(*tangent_stiffness_matrix, *bt_d_b, 4, type, ghost_type,
elem_filter);
/// compute @f$ k_e = \int_e \mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
auto K_e = std::make_unique<Array<Real>>(nb_element,
bt_d_b_size * bt_d_b_size, "K_e");
fem.integrate(*bt_d_b, *K_e, bt_d_b_size * bt_d_b_size, type, ghost_type,
elem_filter);
getModel().getDOFManager().assembleElementalMatricesToMatrix(
"K", "displacement", *K_e, type, ghost_type, _symmetric, elem_filter);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void Material::assembleStiffnessMatrixFiniteDeformation(ElementType type,
GhostType ghost_type) {
tuple_dispatch<AllElementTypes>(
[&](auto && enum_type) {
constexpr auto type = aka::decay_v<decltype(enum_type)>;
this->assembleStiffnessMatrixNL<dim, type>(ghost_type);
this->assembleStiffnessMatrixL2<dim, type>(ghost_type);
},
type);
}
/* -------------------------------------------------------------------------- */
template <Int dim, ElementType type>
void Material::assembleStiffnessMatrixNL(GhostType ghost_type) {
AKANTU_DEBUG_IN();
auto & fem = getFEEngine();
const auto & shapes_derivatives = fem.getShapesDerivatives(type, ghost_type);
const auto & elem_filter = getElementFilter(type, ghost_type);
const auto nb_element = elem_filter.size();
constexpr auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
const auto nb_quadrature_points =
fem.getNbIntegrationPoints(type, ghost_type);
auto shapes_derivatives_filtered = std::make_unique<Array<Real>>(
nb_element * nb_quadrature_points, dim * nb_nodes_per_element,
"shapes derivatives filtered");
FEEngine::filterElementalData(fem.getMesh(), shapes_derivatives,
*shapes_derivatives_filtered, type, ghost_type,
elem_filter);
/// compute @f$\mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
constexpr auto bt_s_b_size = dim * nb_nodes_per_element;
constexpr auto piola_matrix_size = getCauchyStressMatrixSize(dim);
auto bt_s_b = std::make_unique<Array<Real>>(
nb_element * nb_quadrature_points, bt_s_b_size * bt_s_b_size, "B^t*D*B");
Matrix<Real, piola_matrix_size, bt_s_b_size> B;
Matrix<Real, piola_matrix_size, piola_matrix_size> S;
for (auto && [Bt_S_B, Piola_kirchhoff_matrix, shapes_derivatives] :
zip(make_view<bt_s_b_size, bt_s_b_size>(*bt_s_b),
make_view<dim, dim>((*piola_kirchhoff_2)(type, ghost_type)),
make_view<dim, nb_nodes_per_element>(
*shapes_derivatives_filtered))) {
setCauchyStressMatrix<dim>(Piola_kirchhoff_matrix, S);
VoigtHelper<dim>::transferBMatrixToBNL(shapes_derivatives, B,
nb_nodes_per_element);
Bt_S_B = B.transpose() * S * B;
}
/// compute @f$ k_e = \int_e \mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
auto K_e = std::make_unique<Array<Real>>(nb_element,
bt_s_b_size * bt_s_b_size, "K_e");
fem.integrate(*bt_s_b, *K_e, bt_s_b_size * bt_s_b_size, type, ghost_type,
elem_filter);
getModel().getDOFManager().assembleElementalMatricesToMatrix(
"K", "displacement", *K_e, type, ghost_type, _symmetric, elem_filter);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int dim, ElementType type>
void Material::assembleStiffnessMatrixL2(GhostType ghost_type) {
AKANTU_DEBUG_IN();
auto & fem = getFEEngine();
const auto & shapes_derivatives = fem.getShapesDerivatives(type, ghost_type);
auto & elem_filter = getElementFilter(type, ghost_type);
auto & gradu_vect = gradu(type, ghost_type);
auto nb_element = elem_filter.size();
constexpr auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
auto nb_quadrature_points = fem.getNbIntegrationPoints(type, ghost_type);
gradu_vect.resize(nb_quadrature_points * nb_element);
fem.gradientOnIntegrationPoints(getModel().getDisplacement(), gradu_vect, dim,
type, ghost_type, elem_filter);
constexpr auto tangent_size = getTangentStiffnessVoigtSize(dim);
auto tangent_stiffness_matrix = std::make_unique<Array<Real>>(
nb_element * nb_quadrature_points, tangent_size * tangent_size,
"tangent_stiffness_matrix");
tangent_stiffness_matrix->zero();
computeTangentModuli(type, *tangent_stiffness_matrix, ghost_type);
auto shapes_derivatives_filtered = std::make_unique<Array<Real>>(
nb_element * nb_quadrature_points, dim * nb_nodes_per_element,
"shapes derivatives filtered");
FEEngine::filterElementalData(fem.getMesh(), shapes_derivatives,
*shapes_derivatives_filtered, type, ghost_type,
elem_filter);
/// compute @f$\mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
constexpr auto bt_d_b_size = dim * nb_nodes_per_element;
auto bt_d_b = std::make_unique<Array<Real>>(
nb_element * nb_quadrature_points, bt_d_b_size * bt_d_b_size, "B^t*D*B");
Matrix<Real, tangent_size, bt_d_b_size> B;
Matrix<Real, tangent_size, bt_d_b_size> B2;
for (auto && [Bt_D_B, grad_u, D, shapes_derivative] :
zip(make_view<bt_d_b_size, bt_d_b_size>(*bt_d_b),
make_view<dim, dim>(gradu_vect),
make_view<tangent_size, tangent_size>(*tangent_stiffness_matrix),
make_view<dim, nb_nodes_per_element>(
*shapes_derivatives_filtered))) {
VoigtHelper<dim>::transferBMatrixToSymVoigtBMatrix(shapes_derivative, B,
nb_nodes_per_element);
VoigtHelper<dim>::transferBMatrixToBL2(shapes_derivative, grad_u, B2,
nb_nodes_per_element);
B += B2;
Bt_D_B = B.transpose() * D * B;
}
/// compute @f$ k_e = \int_e \mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
auto K_e = std::make_unique<Array<Real>>(nb_element,
bt_d_b_size * bt_d_b_size, "K_e");
fem.integrate(*bt_d_b, *K_e, bt_d_b_size * bt_d_b_size, type, ghost_type,
elem_filter);
getModel().getDOFManager().assembleElementalMatricesToMatrix(
"K", "displacement", *K_e, type, ghost_type, _symmetric, elem_filter);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void Material::assembleInternalForces(ElementType type, GhostType ghost_type) {
tuple_dispatch<AllElementTypes>(
[&](auto && enum_type) {
constexpr auto type = aka::decay_v<decltype(enum_type)>;
this->assembleInternalForces<dim, type>(ghost_type);
},
type);
}
/* -------------------------------------------------------------------------- */
template <Int dim, ElementType type>
void Material::assembleInternalForces(GhostType ghost_type) {
auto & internal_force = getModel().getInternalForce();
// Mesh & mesh = fem.getMesh();
auto && elem_filter = getElementFilter(type, ghost_type);
auto nb_element = elem_filter.size();
if (nb_element == 0) {
return;
}
auto && fem = this->getFEEngine();
const auto & shapes_derivatives = fem.getShapesDerivatives(type, ghost_type);
auto size_of_shapes_derivatives = shapes_derivatives.getNbComponent();
auto nb_quadrature_points = fem.getNbIntegrationPoints(type, ghost_type);
auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
/// compute @f$\sigma \frac{\partial \varphi}{\partial X}@f$ by
/// @f$\mathbf{B}^t \mathbf{\sigma}_q@f$
auto sigma_dphi_dx = std::make_unique<Array<Real>>(
nb_element * nb_quadrature_points, size_of_shapes_derivatives,
"sigma_x_dphi_/_dX");
fem.computeBtD(stress(type, ghost_type), *sigma_dphi_dx, type, ghost_type,
elem_filter);
/**
* compute @f$\int \sigma * \frac{\partial \varphi}{\partial X}dX@f$ by
* @f$ \sum_q \mathbf{B}^t
* \mathbf{\sigma}_q \overline w_q J_q@f$
*/
auto int_sigma_dphi_dx = std::make_unique<Array<Real>>(
nb_element, nb_nodes_per_element * spatial_dimension,
"int_sigma_x_dphi_/_dX");
fem.integrate(*sigma_dphi_dx, *int_sigma_dphi_dx, size_of_shapes_derivatives,
type, ghost_type, elem_filter);
/// assemble
getModel().getDOFManager().assembleElementalArrayLocalArray(
*int_sigma_dphi_dx, internal_force, type, ghost_type, -1, elem_filter);
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void Material::assembleInternalForcesFiniteDeformation(ElementType type,
GhostType ghost_type) {
tuple_dispatch<AllElementTypes>(
[&](auto && enum_type) {
constexpr auto type = aka::decay_v<decltype(enum_type)>;
this->assembleInternalForcesFiniteDeformation<dim, type>(ghost_type);
},
type);
}
/* -------------------------------------------------------------------------- */
template <Int dim, ElementType type>
void Material::assembleInternalForcesFiniteDeformation(GhostType ghost_type) {
AKANTU_DEBUG_IN();
auto & fem = getFEEngine();
auto & internal_force = getModel().getInternalForce();
auto & mesh = fem.getMesh();
const auto & shapes_derivatives = fem.getShapesDerivatives(type, ghost_type);
auto & elem_filter = getElementFilter(type, ghost_type);
if (elem_filter.empty()) {
return;
}
auto size_of_shapes_derivatives = shapes_derivatives.getNbComponent();
auto nb_element = elem_filter.size();
constexpr auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
constexpr auto stress_size = getTangentStiffnessVoigtSize(dim);
constexpr auto bt_s_size = dim * nb_nodes_per_element;
auto nb_quadrature_points = fem.getNbIntegrationPoints(type, ghost_type);
auto shapesd_filtered = std::make_unique<Array<Real>>(
nb_element, size_of_shapes_derivatives, "filtered shapesd");
FEEngine::filterElementalData(mesh, shapes_derivatives, *shapesd_filtered,
type, ghost_type, elem_filter);
// Set stress vectors
auto bt_s = std::make_unique<Array<Real>>(nb_element * nb_quadrature_points,
bt_s_size, "B^t*S");
Matrix<Real, stress_size, bt_s_size> B_tensor;
Matrix<Real, stress_size, bt_s_size> B2_tensor;
for (auto && [grad_u, S, r, shapes_derivative] :
zip(make_view<dim, dim>(this->gradu(type, ghost_type)),
make_view<dim, dim>((*this->piola_kirchhoff_2)(type, ghost_type)),
make_view<bt_s_size>(*bt_s),
make_view<dim, nb_nodes_per_element>(*shapesd_filtered))) {
VoigtHelper<dim>::transferBMatrixToSymVoigtBMatrix(
shapes_derivative, B_tensor, nb_nodes_per_element);
VoigtHelper<dim>::transferBMatrixToBL2(shapes_derivative, grad_u, B2_tensor,
nb_nodes_per_element);
B_tensor += B2_tensor;
auto && S_voight = Material::stressToVoigt<dim>(S);
r = B_tensor.transpose() * S_voight;
}
/// compute @f$ k_e = \int_e \mathbf{B}^t * \mathbf{D} * \mathbf{B}@f$
auto r_e = std::make_unique<Array<Real>>(nb_element, bt_s_size, "r_e");
fem.integrate(*bt_s, *r_e, bt_s_size, type, ghost_type, elem_filter);
getModel().getDOFManager().assembleElementalArrayLocalArray(
*r_e, internal_force, type, ghost_type, -1., elem_filter);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void Material::computePotentialEnergyByElements() {
AKANTU_DEBUG_IN();
for (auto type :
getElementFilter().elementTypes(spatial_dimension, _not_ghost)) {
computePotentialEnergy(type);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void Material::computePotentialEnergy(ElementType /*type*/) {
AKANTU_TO_IMPLEMENT();
}
/* -------------------------------------------------------------------------- */
Real Material::getPotentialEnergy() {
AKANTU_DEBUG_IN();
Real epot = 0.;
auto & fem = getFEEngine();
computePotentialEnergyByElements();
/// integrate the potential energy for each type of elements
for (auto type :
getElementFilter().elementTypes(spatial_dimension, _not_ghost)) {
epot += fem.integrate(potential_energy(type, _not_ghost), type, _not_ghost,
getElementFilter(type, _not_ghost));
}
AKANTU_DEBUG_OUT();
return epot;
}
/* -------------------------------------------------------------------------- */
Real Material::getPotentialEnergy(ElementType type, Int index) {
return getPotentialEnergy({type, index, _not_ghost});
}
/* -------------------------------------------------------------------------- */
Real Material::getPotentialEnergy(const Element & element) {
AKANTU_DEBUG_IN();
auto & fem = getFEEngine();
Vector<Real> epot_on_quad_points(fem.getNbIntegrationPoints(element.type));
auto epot = fem.integrate(epot_on_quad_points,
{element.type,
getElementFilter(element.type)(element.element),
_not_ghost});
AKANTU_DEBUG_OUT();
return epot;
}
/* -------------------------------------------------------------------------- */
Real Material::getEnergy(const std::string & type) {
AKANTU_DEBUG_IN();
if (type == "potential") {
return getPotentialEnergy();
}
AKANTU_DEBUG_OUT();
return 0.;
}
/* -------------------------------------------------------------------------- */
Real Material::getEnergy(const std::string & energy_id,
const Element & element) {
AKANTU_DEBUG_IN();
if (energy_id == "potential") {
return getPotentialEnergy(element);
}
AKANTU_DEBUG_OUT();
return 0.;
}
/* -------------------------------------------------------------------------- */
void Material::initElementalFieldInterpolation(
const ElementTypeMapArray<Real> & interpolation_points_coordinates) {
AKANTU_DEBUG_IN();
auto & fem = getFEEngine();
fem.initElementalFieldInterpolationFromIntegrationPoints(
interpolation_points_coordinates, this->interpolation_points_matrices,
this->interpolation_inverse_coordinates, &(this->getElementFilter()));
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void Material::interpolateStress(ElementTypeMapArray<Real> & result,
const GhostType ghost_type) {
auto & fem = getFEEngine();
fem.interpolateElementalFieldFromIntegrationPoints(
this->stress, this->interpolation_points_matrices,
this->interpolation_inverse_coordinates, result, ghost_type,
&(this->getElementFilter()));
}
/* -------------------------------------------------------------------------- */
void Material::interpolateStressOnFacets(
ElementTypeMapArray<Real> & result,
ElementTypeMapArray<Real> & by_elem_result, const GhostType ghost_type) {
interpolateStress(by_elem_result, ghost_type);
auto stress_size = this->stress.getNbComponent();
const auto & mesh = this->getModel().getMesh();
const auto & mesh_facets = mesh.getMeshFacets();
for (auto type :
getElementFilter().elementTypes(spatial_dimension, ghost_type)) {
auto nb_element_full = mesh.getNbElement(type, ghost_type);
auto nb_interpolation_points_per_elem =
by_elem_result(type, ghost_type).size() / nb_element_full;
const auto & facet_to_element =
mesh_facets.getSubelementToElement(type, ghost_type);
auto nb_facet_per_elem = facet_to_element.getNbComponent();
auto nb_quad_per_facet =
nb_interpolation_points_per_elem / nb_facet_per_elem;
Element element{type, 0, ghost_type};
auto && by_elem_res =
make_view(by_elem_result(type, ghost_type), stress_size,
nb_quad_per_facet, nb_facet_per_elem)
.begin();
for (auto global_el : getElementFilter(type, ghost_type)) {
element.element = global_el;
auto && result_per_elem = by_elem_res[global_el];
for (Int f = 0; f < nb_facet_per_elem; ++f) {
auto facet_elem = facet_to_element(global_el, f);
Int is_second_element =
Int(mesh_facets.getElementToSubelement(facet_elem)[0] != element);
auto && result_local =
result.get(facet_elem, stress_size, 2, nb_quad_per_facet);
for (auto && data : zip(result_local, result_per_elem(f))) {
std::get<0>(data)(is_second_element) = std::get<1>(data);
}
}
}
}
}
/* -------------------------------------------------------------------------- */
void Material::beforeSolveStep() { this->savePreviousState(); }
/* -------------------------------------------------------------------------- */
void Material::afterSolveStep(bool converged) {
if (not converged) {
this->restorePreviousState();
return;
}
for (const auto & type : getElementFilter().elementTypes(
_all_dimensions, _not_ghost, _ek_not_defined)) {
this->updateEnergies(type);
}
}
/* -------------------------------------------------------------------------- */
void Material::onDamageIteration() { this->savePreviousState(); }
/* -------------------------------------------------------------------------- */
void Material::onDamageUpdate() {
for (const auto & type : getElementFilter().elementTypes(
_all_dimensions, _not_ghost, _ek_not_defined)) {
this->updateEnergiesAfterDamage(type);
}
}
/* -------------------------------------------------------------------------- */
void Material::onDump() {
if (this->isFiniteDeformation()) {
this->computeAllCauchyStresses(_not_ghost);
}
}
/* -------------------------------------------------------------------------- */
/// extrapolate internal values
void Material::extrapolateInternal(const ID & id, const Element & element,
const Matrix<Real> & /*point*/,
Matrix<Real> & extrapolated) {
if (this->isInternal<Real>(id, element.kind())) {
auto name = this->getID() + ":" + id;
auto nb_quads =
this->getInternal<Real>(name).getFEEngine().getNbIntegrationPoints(
element.type, element.ghost_type);
const auto & internal =
this->getArray<Real>(id, element.type, element.ghost_type);
auto nb_component = internal.getNbComponent();
auto internal_it = make_view(internal, nb_component, nb_quads).begin();
auto 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");
auto && values = internal_it[local_element.element];
Idx index = 0;
Vector<Real> tmp(nb_component);
for (Int j = 0; j < values.cols(); ++j) {
tmp = values(j);
if (tmp.norm() > 0) {
index = j;
break;
}
}
for (Int i = 0; i < extrapolated.size(); ++i) {
extrapolated(i) = values(index);
}
} else {
extrapolated.fill(0.);
}
}
/* -------------------------------------------------------------------------- */
void Material::applyEigenGradU(const Matrix<Real> & prescribed_eigen_grad_u,
const GhostType ghost_type) {
for (auto && type : getElementFilter().elementTypes(
_all_dimensions, _not_ghost, _ek_not_defined)) {
if (getElementFilter(type, ghost_type).empty()) {
continue;
}
for (auto & eigengradu : make_view(this->eigengradu(type, ghost_type),
spatial_dimension, spatial_dimension)) {
eigengradu = prescribed_eigen_grad_u;
}
}
}
/* -------------------------------------------------------------------------- */
MaterialFactory & Material::getFactory() {
return MaterialFactory::getInstance();
}
} // namespace akantu
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