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cell_base.cc
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/**
* @file cell_base.cc
*
* @author Till Junge <till.junge@epfl.ch>
*
* @date 01 Nov 2017
*
* @brief Implementation for cell base class
*
* Copyright © 2017 Till Junge
*
* µSpectre is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License as
* published by the Free Software Foundation, either version 3, or (at
* your option) any later version.
*
* µSpectre 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
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with GNU Emacs; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* Boston, MA 02111-1307, USA.
*/
#include "cell/cell_base.hh"
#include "common/ccoord_operations.hh"
#include "common/iterators.hh"
#include "common/tensor_algebra.hh"
#include <sstream>
#include <algorithm>
namespace muSpectre {
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
CellBase<DimS, DimM>::CellBase(Projection_ptr projection_)
:resolutions{projection_->get_resolutions()},
locations{projection_->get_locations()},
domain_resolutions{projection_->get_domain_resolutions()},
pixels(resolutions, locations),
lengths{projection_->get_lengths()},
fields{std::make_unique<FieldCollection_t>()},
F{make_field<StrainField_t>("Gradient", *this->fields)},
P{make_field<StressField_t>("Piola-Kirchhoff-1", *this->fields)},
projection{std::move(projection_)},
form{projection->get_formulation()}
{ }
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
typename CellBase<DimS, DimM>::Material_t &
CellBase<DimS, DimM>::add_material(Material_ptr mat) {
this->materials.push_back(std::move(mat));
return *this->materials.back();
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
typename CellBase<DimS, DimM>::FullResponse_t
CellBase<DimS, DimM>::evaluate_stress_tangent(StrainField_t & grad) {
if (this->initialised == false) {
this->initialise();
}
//! High level compatibility checks
if (grad.size() != this->F.size()) {
throw std::runtime_error("Size mismatch");
}
constexpr bool create_tangent{true};
this->get_tangent(create_tangent);
for (auto & mat: this->materials) {
mat->compute_stresses_tangent(grad, this->P, this->K.value(),
this->form);
}
return std::tie(this->P, this->K.value());
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
typename CellBase<DimS, DimM>::StressField_t &
CellBase<DimS, DimM>::directional_stiffness(const TangentField_t &K,
const StrainField_t &delF,
StressField_t &delP) {
for (auto && tup:
akantu::zip(K.get_map(), delF.get_map(), delP.get_map())){
auto & k = std::get<0>(tup);
auto & df = std::get<1>(tup);
auto & dp = std::get<2>(tup);
dp = Matrices::tensmult(k, df);
}
return this->project(delP);
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
typename CellBase<DimS, DimM>::SolvVectorOut
CellBase<DimS, DimM>::directional_stiffness_vec(const SolvVectorIn &delF) {
if (!this->K) {
throw std::runtime_error
("corrently only implemented for cases where a stiffness matrix "
"exists");
}
if (delF.size() != this->nb_dof()) {
std::stringstream err{};
err << "input should be of size ndof = ¶(" << this->resolutions <<") × "
<< DimS << "² = "<< this->nb_dof() << " but I got " << delF.size();
throw std::runtime_error(err.str());
}
const std::string out_name{"temp output for directional stiffness"};
const std::string in_name{"temp input for directional stiffness"};
auto & out_tempref = this->get_managed_field(out_name);
auto & in_tempref = this->get_managed_field(in_name);
SolvVectorOut(in_tempref.data(), this->nb_dof()) = delF;
this->directional_stiffness(this->K.value(), in_tempref, out_tempref);
return SolvVectorOut(out_tempref.data(), this->nb_dof());
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
Eigen::ArrayXXd
CellBase<DimS, DimM>::
directional_stiffness_with_copy
(Eigen::Ref<Eigen::ArrayXXd> delF) {
if (!this->K) {
throw std::runtime_error
("corrently only implemented for cases where a stiffness matrix "
"exists");
}
const std::string out_name{"temp output for directional stiffness"};
const std::string in_name{"temp input for directional stiffness"};
auto & out_tempref = this->get_managed_field(out_name);
auto & in_tempref = this->get_managed_field(in_name);
in_tempref.eigen() = delF;
this->directional_stiffness(this->K.value(), in_tempref, out_tempref);
return out_tempref.eigen();
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
typename CellBase<DimS, DimM>::StressField_t &
CellBase<DimS, DimM>::project(StressField_t &field) {
this->projection->apply_projection(field);
return field;
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
typename CellBase<DimS, DimM>::StrainField_t &
CellBase<DimS, DimM>::get_strain() {
if (this->initialised == false) {
this->initialise();
}
return this->F;
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
const typename CellBase<DimS, DimM>::StressField_t &
CellBase<DimS, DimM>::get_stress() const {
return this->P;
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
const typename CellBase<DimS, DimM>::TangentField_t &
CellBase<DimS, DimM>::get_tangent(bool create) {
if (!this->K) {
if (create) {
this->K = make_field<TangentField_t>("Tangent Stiffness", *this->fields);
} else {
throw std::runtime_error
("K does not exist");
}
}
return this->K.value();
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
typename CellBase<DimS, DimM>::StrainField_t &
CellBase<DimS, DimM>::get_managed_field(std::string unique_name) {
if (!this->fields->check_field_exists(unique_name)) {
return make_field<StressField_t>(unique_name, *this->fields);
} else {
return static_cast<StressField_t&>(this->fields->at(unique_name));
}
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
void CellBase<DimS, DimM>::initialise(FFT_PlanFlags flags) {
// check that all pixels have been assigned exactly one material
this->check_material_coverage();
// resize all global fields (strain, stress, etc)
this->fields->initialise(this->resolutions);
// initialise the projection and compute the fft plan
this->projection->initialise(flags);
this->initialised = true;
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
void CellBase<DimS, DimM>::initialise_materials(bool stiffness) {
for (auto && mat: this->materials) {
mat->initialise(stiffness);
}
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
void CellBase<DimS, DimM>::save_history_variables() {
for (auto && mat: this->materials) {
mat->save_history_variables();
}
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
typename CellBase<DimS, DimM>::iterator
CellBase<DimS, DimM>::begin() {
return this->pixels.begin();
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
typename CellBase<DimS, DimM>::iterator
CellBase<DimS, DimM>::end() {
return this->pixels.end();
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
CellAdaptor<CellBase<DimS, DimM>>
CellBase<DimS, DimM>::get_adaptor() {
return Adaptor(*this);
}
/* ---------------------------------------------------------------------- */
template <Dim_t DimS, Dim_t DimM>
void CellBase<DimS, DimM>::check_material_coverage() {
auto nb_pixels = CcoordOps::get_size(this->resolutions);
std::vector<MaterialBase<DimS, DimM>*> assignments(nb_pixels, nullptr);
for (auto & mat: this->materials) {
for (auto & pixel: *mat) {
auto index = CcoordOps::get_index(this->resolutions, pixel);
auto& assignment{assignments.at(index)};
if (assignment != nullptr) {
std::stringstream err{};
err << "Pixel " << pixel << "is already assigned to material '"
<< assignment->get_name()
<< "' and cannot be reassigned to material '" << mat->get_name();
throw std::runtime_error(err.str());
} else {
assignments[index] = mat.get();
}
}
}
// find and identify unassigned pixels
std::vector<Ccoord> unassigned_pixels;
for (size_t i = 0; i < assignments.size(); ++i) {
if (assignments[i] == nullptr) {
unassigned_pixels.push_back(
CcoordOps::get_ccoord(this->resolutions, this->locations, i));
}
}
if (unassigned_pixels.size() != 0) {
std::stringstream err {};
err << "The following pixels have were not assigned a material: ";
for (auto & pixel: unassigned_pixels) {
err << pixel << ", ";
}
err << "and that cannot be handled";
throw std::runtime_error(err.str());
}
}
template class CellBase<twoD, twoD>;
template class CellBase<threeD, threeD>;
} // muSpectre

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