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material_plastic.cc
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/**
* @file material_plastic.cc
*
* @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: Sun Dec 03 2017
*
* @brief Implemantation of the akantu::MaterialPlastic class
*
*
* Copyright (©) 2014-2018 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 <UInt 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 <UInt 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 <UInt 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->use_previous_stress_thermal = true;
this->inelastic_strain.initialize(spatial_dimension * spatial_dimension);
this->inelastic_strain.initializeHistory();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
Real MaterialPlastic<spatial_dimension>::getEnergy(const std::string & type) {
if (type == "plastic") {
return getPlasticEnergy();
}
return MaterialElastic<spatial_dimension>::getEnergy(type);
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
Real MaterialPlastic<spatial_dimension>::getPlasticEnergy() {
AKANTU_DEBUG_IN();
Real penergy = 0.;
for (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 <UInt spatial_dimension>
void MaterialPlastic<spatial_dimension>::computePotentialEnergy(
ElementType el_type) {
AKANTU_DEBUG_IN();
Array<Real>::scalar_iterator epot = this->potential_energy(el_type).begin();
Array<Real>::const_iterator<Matrix<Real>> inelastic_strain_it =
this->inelastic_strain(el_type).begin(spatial_dimension,
spatial_dimension);
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, _not_ghost);
Matrix<Real> elastic_strain(spatial_dimension, spatial_dimension);
elastic_strain.copy(grad_u);
elastic_strain -= *inelastic_strain_it;
MaterialElastic<spatial_dimension>::computePotentialEnergyOnQuad(
elastic_strain, sigma, *epot);
++epot;
++inelastic_strain_it;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialPlastic<spatial_dimension>::updateEnergies(ElementType el_type) {
AKANTU_DEBUG_IN();
MaterialElastic<spatial_dimension>::updateEnergies(el_type);
Array<Real>::iterator<> pe_it = this->plastic_energy(el_type).begin();
Array<Real>::iterator<> wp_it = this->d_plastic_energy(el_type).begin();
Array<Real>::iterator<Matrix<Real>> inelastic_strain_it =
this->inelastic_strain(el_type).begin(spatial_dimension,
spatial_dimension);
Array<Real>::iterator<Matrix<Real>> previous_inelastic_strain_it =
this->inelastic_strain.previous(el_type).begin(spatial_dimension,
spatial_dimension);
Array<Real>::matrix_iterator previous_sigma =
this->stress.previous(el_type).begin(spatial_dimension,
spatial_dimension);
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, _not_ghost);
Matrix<Real> delta_strain_it(*inelastic_strain_it);
delta_strain_it -= *previous_inelastic_strain_it;
Matrix<Real> sigma_h(sigma);
sigma_h += *previous_sigma;
*wp_it = .5 * sigma_h.doubleDot(delta_strain_it);
*pe_it += *wp_it;
++pe_it;
++wp_it;
++inelastic_strain_it;
++previous_inelastic_strain_it;
++previous_sigma;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
INSTANTIATE_MATERIAL_ONLY(MaterialPlastic);
} // namespace akantu
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