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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 "integration_point.hh"
#include "material.hh"
#include "solid_mechanics_model.hh"
/* -------------------------------------------------------------------------- */
// #ifndef __AKANTU_MATERIAL_INLINE_IMPL_CC__
// #define __AKANTU_MATERIAL_INLINE_IMPL_CC__
namespace akantu {
/* -------------------------------------------------------------------------- */
inline auto Material::addElement(ElementType type, Int element,
GhostType ghost_type) {
auto & el_filter = this->element_filter(type, ghost_type);
el_filter.push_back(element);
return el_filter.size() - 1;
}
/* -------------------------------------------------------------------------- */
inline auto Material::addElement(const Element & element) {
return this->addElement(element.type, element.element, element.ghost_type);
}
/* -------------------------------------------------------------------------- */
template <Int dim, typename D1, typename D2>
constexpr inline void Material::gradUToF(const Eigen::MatrixBase<D1> & grad_u,
Eigen::MatrixBase<D2> & F) {
assert(F.size() >= grad_u.size() && grad_u.size() == dim * dim &&
"The dimension of the tensor F should be greater or "
"equal to the dimension of the tensor grad_u.");
F.setIdentity();
F.template block<dim, dim>(0, 0) += grad_u;
}
/* -------------------------------------------------------------------------- */
template <Int dim, typename D1>
constexpr inline decltype(auto)
Material::gradUToF(const Eigen::MatrixBase<D1> & grad_u) {
Matrix<Real, dim, dim> F;
gradUToF<dim>(grad_u, F);
return F;
}
/* -------------------------------------------------------------------------- */
template <Int dim, typename D1, typename D2, typename D3>
constexpr inline void Material::StoCauchy(const Eigen::MatrixBase<D1> & F,
const Eigen::MatrixBase<D2> & S,
Eigen::MatrixBase<D3> & sigma,
const Real & C33) {
Real J = F.determinant() * std::sqrt(C33);
Matrix<Real, dim, dim> F_S;
F_S = F * S;
Real constant = J ? 1. / J : 0;
sigma = constant * F_S * F.transpose();
}
/* -------------------------------------------------------------------------- */
template <Int dim, typename D1, typename D2>
constexpr inline decltype(auto)
Material::StoCauchy(const Eigen::MatrixBase<D1> & F,
const Eigen::MatrixBase<D2> & S, const Real & C33) {
Matrix<Real, dim, dim> sigma;
Material::StoCauchy<dim>(F, S, sigma, C33);
return sigma;
}
/* -------------------------------------------------------------------------- */
template <typename D1, typename D2>
constexpr inline void Material::rightCauchy(const Eigen::MatrixBase<D1> & F,
Eigen::MatrixBase<D2> & C) {
C = F.transpose() * F;
}
/* -------------------------------------------------------------------------- */
template <Int dim, typename D>
constexpr inline decltype(auto)
Material::rightCauchy(const Eigen::MatrixBase<D> & F) {
Matrix<Real, dim, dim> C;
rightCauchy(F, C);
return C;
}
/* -------------------------------------------------------------------------- */
template <typename D1, typename D2>
constexpr inline void Material::leftCauchy(const Eigen::MatrixBase<D1> & F,
Eigen::MatrixBase<D2> & B) {
B = F * F.transpose();
}
/* -------------------------------------------------------------------------- */
template <Int dim, typename D>
constexpr inline decltype(auto)
Material::leftCauchy(const Eigen::MatrixBase<D> & F) {
Matrix<Real, dim, dim> B;
rightCauchy(F, B);
return B;
}
/* -------------------------------------------------------------------------- */
template <Int dim, typename D1, typename D2>
constexpr inline void
Material::gradUToEpsilon(const Eigen::MatrixBase<D1> & grad_u,
Eigen::MatrixBase<D2> & epsilon) {
epsilon = .5 * (grad_u.transpose() + grad_u);
}
/* -------------------------------------------------------------------------- */
template <Int dim, typename D1>
inline decltype(auto) constexpr Material::gradUToEpsilon(
const Eigen::MatrixBase<D1> & grad_u) {
Matrix<Real, dim, dim> epsilon;
Material::gradUToEpsilon<dim>(grad_u, epsilon);
return epsilon;
}
/* -------------------------------------------------------------------------- */
template <Int dim, typename D1, typename D2>
constexpr inline void Material::gradUToE(const Eigen::MatrixBase<D1> & grad_u,
Eigen::MatrixBase<D2> & E) {
E = (grad_u.transpose() * grad_u + grad_u.transpose() + grad_u) / 2.;
}
/* -------------------------------------------------------------------------- */
template <Int dim, typename D1>
constexpr inline decltype(auto)
Material::gradUToE(const Eigen::MatrixBase<D1> & grad_u) {
Matrix<Real, dim, dim> E;
gradUToE<dim>(grad_u, E);
return E;
}
/* -------------------------------------------------------------------------- */
template <typename D1>
inline Real Material::stressToVonMises(const Eigen::MatrixBase<D1> & stress) {
// compute deviatoric stress
auto dim = stress.cols();
auto && deviatoric_stress =
stress - Matrix<Real>::Identity(dim, dim) * stress.trace() / 3.;
// return Von Mises stress
return std::sqrt(3. * deviatoric_stress.doubleDot(deviatoric_stress) / 2.);
}
/* -------------------------------------------------------------------------- */
template <Int dim, typename D1, typename D2>
constexpr inline void
Material::setCauchyStressMatrix(const Eigen::MatrixBase<D1> & S_t,
Eigen::MatrixBase<D2> & sigma) {
sigma.zero();
/// see Finite ekement formulations for large deformation dynamic analysis,
/// Bathe et al. IJNME vol 9, 1975, page 364 ^t \f$\tau\f$
for (Int i = 0; i < dim; ++i) {
for (Int m = 0; m < dim; ++m) {
for (Int n = 0; n < dim; ++n) {
sigma(i * dim + m, i * dim + n) = S_t(m, n);
}
}
}
}
/* -------------------------------------------------------------------------- */
inline Element
Material::convertToLocalElement(const Element & global_element) const {
auto ge = global_element.element;
#ifndef AKANTU_NDEBUG
auto model_mat_index = this->model.getMaterialByElement(
global_element.type, global_element.ghost_type)(ge);
auto mat_index = this->model.getMaterialIndex(this->name);
AKANTU_DEBUG_ASSERT(model_mat_index == mat_index,
"Conversion of a global element in a local element for "
"the wrong material "
<< this->name << std::endl);
#endif
auto le = this->model.getMaterialLocalNumbering(
global_element.type, global_element.ghost_type)(ge);
Element tmp_quad{global_element.type, le, global_element.ghost_type};
return tmp_quad;
}
/* -------------------------------------------------------------------------- */
inline Element
Material::convertToGlobalElement(const Element & local_element) const {
auto le = local_element.element;
auto ge =
this->element_filter(local_element.type, local_element.ghost_type)(le);
Element tmp_quad{local_element.type, ge, local_element.ghost_type};
return tmp_quad;
}
/* -------------------------------------------------------------------------- */
inline IntegrationPoint
Material::convertToLocalPoint(const IntegrationPoint & global_point) const {
const FEEngine & fem = this->model.getFEEngine();
auto && nb_quad = fem.getNbIntegrationPoints(global_point.type);
auto && el =
this->convertToLocalElement(static_cast<const Element &>(global_point));
return IntegrationPoint(el, global_point.num_point, nb_quad);
}
/* -------------------------------------------------------------------------- */
inline IntegrationPoint
Material::convertToGlobalPoint(const IntegrationPoint & local_point) const {
const FEEngine & fem = this->model.getFEEngine();
auto nb_quad = fem.getNbIntegrationPoints(local_point.type);
Element el =
this->convertToGlobalElement(static_cast<const Element &>(local_point));
IntegrationPoint tmp_quad(el, local_point.num_point, nb_quad);
return tmp_quad;
}
/* -------------------------------------------------------------------------- */
inline Int Material::getNbData(const Array<Element> & elements,
const SynchronizationTag & tag) const {
if (tag == SynchronizationTag::_smm_stress) {
return (this->isFiniteDeformation() ? 3 : 1) * spatial_dimension *
spatial_dimension * sizeof(Real) *
this->getModel().getNbIntegrationPoints(elements);
}
if (tag == SynchronizationTag::_smm_gradu) {
return spatial_dimension * spatial_dimension * sizeof(Real) *
this->getModel().getNbIntegrationPoints(elements);
}
return 0;
}
/* -------------------------------------------------------------------------- */
inline void Material::packData(CommunicationBuffer & buffer,
const Array<Element> & elements,
const SynchronizationTag & tag) const {
if (tag == SynchronizationTag::_smm_stress) {
if (this->isFiniteDeformation()) {
packElementDataHelper(piola_kirchhoff_2, buffer, elements);
packElementDataHelper(gradu, buffer, elements);
}
packElementDataHelper(stress, buffer, elements);
}
if (tag == SynchronizationTag::_smm_gradu) {
packElementDataHelper(gradu, buffer, elements);
}
}
/* -------------------------------------------------------------------------- */
inline void Material::unpackData(CommunicationBuffer & buffer,
const Array<Element> & elements,
const SynchronizationTag & tag) {
if (tag == SynchronizationTag::_smm_stress) {
if (this->isFiniteDeformation()) {
unpackElementDataHelper(piola_kirchhoff_2, buffer, elements);
unpackElementDataHelper(gradu, buffer, elements);
}
unpackElementDataHelper(stress, buffer, elements);
}
if (tag == SynchronizationTag::_smm_gradu) {
unpackElementDataHelper(gradu, buffer, elements);
}
}
/* -------------------------------------------------------------------------- */
inline const Parameter & Material::getParam(const ID & param) const {
try {
return get(param);
} catch (...) {
AKANTU_EXCEPTION("No parameter " << param << " in the material "
<< getID());
}
}
/* -------------------------------------------------------------------------- */
template <typename T>
inline void Material::setParam(const ID & param, T value) {
try {
set<T>(param, value);
} catch (...) {
AKANTU_EXCEPTION("No parameter " << param << " in the material "
<< getID());
}
updateInternalParameters();
}
/* -------------------------------------------------------------------------- */
template <typename T>
inline void Material::packElementDataHelper(
const ElementTypeMapArray<T> & data_to_pack, CommunicationBuffer & buffer,
const Array<Element> & elements, const ID & fem_id) const {
DataAccessor::packElementalDataHelper<T>(data_to_pack, buffer, elements, true,
model.getFEEngine(fem_id));
}
/* -------------------------------------------------------------------------- */
template <typename T>
inline void Material::unpackElementDataHelper(
ElementTypeMapArray<T> & data_to_unpack, CommunicationBuffer & buffer,
const Array<Element> & elements, const ID & fem_id) {
DataAccessor::unpackElementalDataHelper<T>(data_to_unpack, buffer, elements,
true, model.getFEEngine(fem_id));
}
/* -------------------------------------------------------------------------- */
template <>
inline void Material::registerInternal<Real>(InternalField<Real> & vect) {
internal_vectors_real[vect.getID()] = &vect;
}
template <>
inline void Material::registerInternal<Int>(InternalField<Int> & vect) {
internal_vectors_int[vect.getID()] = &vect;
}
template <>
inline void Material::registerInternal<bool>(InternalField<bool> & vect) {
internal_vectors_bool[vect.getID()] = &vect;
}
/* -------------------------------------------------------------------------- */
template <>
inline void Material::unregisterInternal<Real>(InternalField<Real> & vect) {
internal_vectors_real.erase(vect.getID());
}
template <>
inline void Material::unregisterInternal<Int>(InternalField<Int> & vect) {
internal_vectors_int.erase(vect.getID());
}
template <>
inline void Material::unregisterInternal<bool>(InternalField<bool> & vect) {
internal_vectors_bool.erase(vect.getID());
}
/* -------------------------------------------------------------------------- */
template <typename T>
inline bool Material::isInternal(const ID & /*id*/,
ElementKind /*element_kind*/) const {
AKANTU_TO_IMPLEMENT();
}
template <>
inline bool Material::isInternal<Real>(const ID & id,
ElementKind element_kind) const {
auto internal_array = internal_vectors_real.find(this->getID() + ":" + id);
return not(internal_array == internal_vectors_real.end() ||
internal_array->second->getElementKind() != element_kind);
}
/* -------------------------------------------------------------------------- */
template <typename T>
inline ElementTypeMap<Int>
Material::getInternalDataPerElem(const ID & field_id,
ElementKind element_kind) const {
if (!this->template isInternal<T>(field_id, element_kind)) {
AKANTU_EXCEPTION("Cannot find internal field " << id << " in material "
<< this->name);
}
const InternalField<T> & internal_field =
this->template getInternal<T>(field_id);
const auto & fe_engine = internal_field.getFEEngine();
auto nb_data_per_quad = internal_field.getNbComponent();
ElementTypeMap<Int> res;
for (auto ghost_type : ghost_types) {
for (auto && type : internal_field.elementTypes(ghost_type)) {
auto nb_quadrature_points =
fe_engine.getNbIntegrationPoints(type, ghost_type);
res(type, ghost_type) = nb_data_per_quad * nb_quadrature_points;
}
}
return res;
}
/* -------------------------------------------------------------------------- */
template <typename T>
void Material::flattenInternal(const std::string & field_id,
ElementTypeMapArray<T> & internal_flat,
const GhostType ghost_type,
ElementKind element_kind) const {
if (!this->template isInternal<T>(field_id, element_kind)) {
AKANTU_EXCEPTION("Cannot find internal field " << id << " in material "
<< this->name);
}
const auto & internal_field = this->template getInternal<T>(field_id);
const auto & fe_engine = internal_field.getFEEngine();
const auto & mesh = fe_engine.getMesh();
for (auto && type : internal_field.filterTypes(ghost_type)) {
const auto & src_vect = internal_field(type, ghost_type);
const auto & filter = internal_field.getFilter(type, ghost_type);
// total number of elements in the corresponding mesh
auto nb_element_dst = mesh.getNbElement(type, ghost_type);
// number of element in the internal field
// auto nb_element_src = filter.size();
// number of quadrature points per elem
auto nb_quad_per_elem = fe_engine.getNbIntegrationPoints(type);
// number of data per quadrature point
auto nb_data_per_quad = internal_field.getNbComponent();
if (not internal_flat.exists(type, ghost_type)) {
internal_flat.alloc(nb_element_dst * nb_quad_per_elem, nb_data_per_quad,
type, ghost_type);
}
// number of data per element
auto nb_data = nb_quad_per_elem * nb_data_per_quad;
auto & dst_vect = internal_flat(type, ghost_type);
dst_vect.resize(nb_element_dst * nb_quad_per_elem);
auto it_dst = make_view(dst_vect, nb_data).begin();
for (auto && data : zip(filter, make_view(src_vect, nb_data))) {
it_dst[std::get<0>(data)] = std::get<1>(data);
}
}
}
/* -------------------------------------------------------------------------- */
template <typename T>
void Material::inflateInternal(const std::string & field_id,
const ElementTypeMapArray<T> & field,
GhostType ghost_type, ElementKind element_kind) {
if (!this->template isInternal<T>(field_id, element_kind)) {
AKANTU_EXCEPTION("Cannot find internal field " << id << " in material "
<< this->name);
}
InternalField<T> & internal_field = this->template getInternal<T>(field_id);
const FEEngine & fe_engine = internal_field.getFEEngine();
for (auto && type : field.elementTypes(ghost_type)) {
if (not internal_field.exists(type, ghost_type)) {
continue;
}
const auto & filter = internal_field.getFilter(type, ghost_type);
const auto & src_array = field(type, ghost_type);
auto & dest_array = internal_field(type, ghost_type);
auto nb_quad_per_elem = fe_engine.getNbIntegrationPoints(type);
auto nb_component = src_array.getNbComponent();
AKANTU_DEBUG_ASSERT(
field.size() == fe_engine.getMesh().getNbElement(type, ghost_type) *
nb_quad_per_elem,
"The ElementTypeMapArray to inflate is not of the proper size");
AKANTU_DEBUG_ASSERT(
dest_array.getNbComponent() == nb_component,
"The ElementTypeMapArray has not the proper number of components");
auto src =
make_view(field(type, ghost_type), nb_component, nb_quad_per_elem)
.begin();
for (auto && data :
zip(filter, make_view(dest_array, nb_component, nb_quad_per_elem))) {
std::get<1>(data) = src[std::get<0>(data)];
}
}
}
/* -------------------------------------------------------------------------- */
template <typename T>
inline const InternalField<T> &
Material::getInternal(const ID & /*int_id*/) const {
AKANTU_TO_IMPLEMENT();
}
/* -------------------------------------------------------------------------- */
template <typename T>
inline InternalField<T> & Material::getInternal(const ID & /*int_id*/) {
AKANTU_TO_IMPLEMENT();
}
/* -------------------------------------------------------------------------- */
template <>
inline const InternalField<Real> &
Material::getInternal(const ID & int_id) const {
auto it = internal_vectors_real.find(getID() + ":" + int_id);
if (it == internal_vectors_real.end()) {
AKANTU_SILENT_EXCEPTION("The material " << name << "(" << getID()
<< ") does not contain an internal "
<< int_id << " ("
<< (getID() + ":" + int_id) << ")");
}
return *it->second;
}
/* -------------------------------------------------------------------------- */
template <>
inline InternalField<Real> & Material::getInternal(const ID & int_id) {
auto it = internal_vectors_real.find(getID() + ":" + int_id);
if (it == internal_vectors_real.end()) {
AKANTU_SILENT_EXCEPTION("The material " << name << "(" << getID()
<< ") does not contain an internal "
<< int_id << " ("
<< (getID() + ":" + int_id) << ")");
}
return *it->second;
}
/* -------------------------------------------------------------------------- */
template <>
inline const InternalField<Int> &
Material::getInternal(const ID & int_id) const {
auto it = internal_vectors_int.find(getID() + ":" + int_id);
if (it == internal_vectors_int.end()) {
AKANTU_SILENT_EXCEPTION("The material " << name << "(" << getID()
<< ") does not contain an internal "
<< int_id << " ("
<< (getID() + ":" + int_id) << ")");
}
return *it->second;
}
/* -------------------------------------------------------------------------- */
template <>
inline InternalField<Int> & Material::getInternal(const ID & int_id) {
auto it = internal_vectors_int.find(getID() + ":" + int_id);
if (it == internal_vectors_int.end()) {
AKANTU_SILENT_EXCEPTION("The material " << name << "(" << getID()
<< ") does not contain an internal "
<< int_id << " ("
<< (getID() + ":" + int_id) << ")");
}
return *it->second;
}
/* -------------------------------------------------------------------------- */
template <typename T>
inline const Array<T> & Material::getArray(const ID & vect_id, ElementType type,
GhostType ghost_type) const {
try {
return this->template getInternal<T>(vect_id)(type, ghost_type);
} catch (debug::Exception & e) {
AKANTU_SILENT_EXCEPTION("The material " << name << "(" << getID()
<< ") does not contain a vector "
<< vect_id << " [" << e << "]");
}
}
/* -------------------------------------------------------------------------- */
template <typename T>
inline Array<T> & Material::getArray(const ID & vect_id, ElementType type,
GhostType ghost_type) {
try {
return this->template getInternal<T>(vect_id)(type, ghost_type);
} catch (debug::Exception & e) {
AKANTU_SILENT_EXCEPTION("The material " << name << "(" << getID()
<< ") does not contain a vector "
<< vect_id << " [" << e << "]");
}
}
} // namespace akantu
//#endif /* __AKANTU_MATERIAL_INLINE_IMPL_CC__ */
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