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material_plastic.cc
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/**
* @file material_plastic.cc
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Lucas Frerot <lucas.frerot@epfl.ch>
* @author Daniel Pino Muñoz <daniel.pinomunoz@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Mon Apr 07 2014
* @date last modification: Fri Apr 09 2021
*
* @brief Implemantation of the akantu::MaterialPlastic class
*
*
* @section LICENSE
*
* Copyright (©) 2014-2021 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* 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_plastic.hh"
/* -------------------------------------------------------------------------- */
namespace akantu {
/* -------------------------------------------------------------------------- */
template <Int spatial_dimension>
MaterialPlastic<spatial_dimension>::MaterialPlastic(SolidMechanicsModel & model,
const ID & id)
: MaterialElastic<spatial_dimension>(model, id),
iso_hardening("iso_hardening", *this),
inelastic_strain("inelastic_strain", *this),
plastic_energy("plastic_energy", *this),
d_plastic_energy("d_plastic_energy", *this) {
AKANTU_DEBUG_IN();
this->initialize();
AKANTU_DEBUG_OUT();
}
template <Int spatial_dimension>
MaterialPlastic<spatial_dimension>::MaterialPlastic(SolidMechanicsModel & model,
UInt dim, const Mesh & mesh,
FEEngine & fe_engine,
const ID & id)
: MaterialElastic<spatial_dimension>(model, dim, mesh, fe_engine, id),
iso_hardening("iso_hardening", *this, dim, fe_engine,
this->element_filter),
inelastic_strain("inelastic_strain", *this, dim, fe_engine,
this->element_filter),
plastic_energy("plastic_energy", *this, dim, fe_engine,
this->element_filter),
d_plastic_energy("d_plastic_energy", *this, dim, fe_engine,
this->element_filter) {
AKANTU_DEBUG_IN();
this->initialize();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int spatial_dimension>
void MaterialPlastic<spatial_dimension>::initialize() {
this->registerParam("h", h, Real(0.), _pat_parsable | _pat_modifiable,
"Hardening modulus");
this->registerParam("sigma_y", sigma_y, Real(0.),
_pat_parsable | _pat_modifiable, "Yield stress");
this->iso_hardening.initialize(1);
this->iso_hardening.initializeHistory();
this->plastic_energy.initialize(1);
this->d_plastic_energy.initialize(1);
this->use_previous_stress = true;
this->use_previous_gradu = true;
this->inelastic_strain.initialize(spatial_dimension * spatial_dimension);
this->inelastic_strain.initializeHistory();
}
/* -------------------------------------------------------------------------- */
template <Int spatial_dimension>
Real MaterialPlastic<spatial_dimension>::getEnergy(const std::string & type) {
if (type == "plastic") {
return getPlasticEnergy();
}
return MaterialElastic<spatial_dimension>::getEnergy(type);
}
/* -------------------------------------------------------------------------- */
template <Int spatial_dimension>
Real MaterialPlastic<spatial_dimension>::getPlasticEnergy() {
AKANTU_DEBUG_IN();
Real penergy = 0.;
for (const auto & type :
this->element_filter.elementTypes(spatial_dimension, _not_ghost)) {
penergy +=
this->fem.integrate(plastic_energy(type, _not_ghost), type, _not_ghost,
this->element_filter(type, _not_ghost));
}
AKANTU_DEBUG_OUT();
return penergy;
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void MaterialPlastic<dim>::computePotentialEnergy(ElementType el_type) {
auto epot = this->potential_energy(el_type).begin();
for (auto && args : getArguments(el_type)) {
Matrix<Real, dim, dim> elastic_strain =
args["grad_u"_n] - args["inelastic_strain"_n];
MaterialElastic<dim>::computePotentialEnergyOnQuad(
tuple::replace(args, "grad_u"_n = elastic_strain), *epot);
}
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void MaterialPlastic<dim>::updateEnergies(ElementType el_type) {
MaterialElastic<dim>::updateEnergies(el_type);
for (auto && args : zip_append(getArguments(el_type),
"pe"_n = this->plastic_energy(el_type),
"wp"_n = this->d_plastic_energy(el_type))) {
Matrix<Real, dim, dim> delta_strain_it =
args["inelastic_strain"_n] - args["previous_inelastic_strain"_n];
Matrix<Real, dim, dim> sigma_h = args["sigma"_n] + args["previous_sigma"_n];
auto && wp = args["wp"_n];
wp = .5 * sigma_h.doubleDot(delta_strain_it);
args["pe"_n] += wp;
}
}
/* -------------------------------------------------------------------------- */
template class MaterialPlastic<1>;
template class MaterialPlastic<2>;
template class MaterialPlastic<3>;
} // namespace akantu

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