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material_drucker_prager.cc
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/**
* @file material_drucker_prager.cc
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Mon Apr 07 2014
* @date last modification: Tue Apr 06 2021
*
* @brief Implementation of the akantu::MaterialDruckerPrager 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_drucker_prager.hh"
/* -------------------------------------------------------------------------- */
namespace akantu {
template <UInt spatial_dimension>
MaterialDruckerPrager<spatial_dimension>::MaterialDruckerPrager(
SolidMechanicsModel & model, const ID & id)
: MaterialPlastic<spatial_dimension>(model, id) {
AKANTU_DEBUG_IN();
this->initialize();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
MaterialDruckerPrager<spatial_dimension>::MaterialDruckerPrager(
SolidMechanicsModel & model, UInt dim, const Mesh & mesh,
FEEngine & fe_engine, const ID & id)
: MaterialPlastic<spatial_dimension>(model, dim, mesh, fe_engine, id) {
AKANTU_DEBUG_IN();
this->initialize();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialDruckerPrager<spatial_dimension>::initialize() {
this->registerParam("phi", phi, Real(0.), _pat_parsable | _pat_modifiable,
"Internal friction angle in degrees");
this->registerParam("fc", fc, Real(1.), _pat_parsable | _pat_modifiable,
"Compressive strength");
this->registerParam("radial_return", radial_return_mapping, bool(true),
_pat_parsable | _pat_modifiable, "Radial return mapping");
this->updateInternalParameters();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialDruckerPrager<spatial_dimension>::updateInternalParameters() {
MaterialElastic<spatial_dimension>::updateInternalParameters();
// compute alpha and k parameters for Drucker-Prager
Real phi_radian = this->phi * M_PI / 180.;
this->alpha = (6. * sin(phi_radian)) / (3. - sin(phi_radian));
Real cohesion = this->fc * (1. - sin(phi_radian)) / (2. * cos(phi_radian));
this->k = (6. * cohesion * cos(phi_radian)) / (3. - sin(phi_radian));
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialDruckerPrager<spatial_dimension>::computeStress(
ElementType el_type, GhostType ghost_type) {
AKANTU_DEBUG_IN();
MaterialThermal<spatial_dimension>::computeStress(el_type, ghost_type);
// infinitesimal and finite deformation
auto sigma_th_it = this->sigma_th(el_type, ghost_type).begin();
auto previous_sigma_th_it =
this->sigma_th.previous(el_type, ghost_type).begin();
auto previous_gradu_it = this->gradu.previous(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension);
auto previous_stress_it = this->stress.previous(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension);
auto inelastic_strain_it = this->inelastic_strain(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension);
auto previous_inelastic_strain_it =
this->inelastic_strain.previous(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension);
//
// Finite Deformations
//
if (this->finite_deformation) {
auto previous_piola_kirchhoff_2_it =
this->piola_kirchhoff_2.previous(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension);
auto green_strain_it = this->green_strain(el_type, ghost_type)
.begin(spatial_dimension, spatial_dimension);
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, ghost_type);
auto & inelastic_strain_tensor = *inelastic_strain_it;
auto & previous_inelastic_strain_tensor = *previous_inelastic_strain_it;
auto & previous_grad_u = *previous_gradu_it;
auto & previous_sigma = *previous_piola_kirchhoff_2_it;
auto & green_strain = *green_strain_it;
this->template gradUToE<spatial_dimension>(grad_u, green_strain);
Matrix<Real> previous_green_strain(spatial_dimension, spatial_dimension);
this->template gradUToE<spatial_dimension>(previous_grad_u,
previous_green_strain);
Matrix<Real> F_tensor(spatial_dimension, spatial_dimension);
this->template gradUToF<spatial_dimension>(grad_u, F_tensor);
computeStressOnQuad(green_strain, previous_green_strain, sigma,
previous_sigma, inelastic_strain_tensor,
previous_inelastic_strain_tensor, *sigma_th_it,
*previous_sigma_th_it, F_tensor);
++sigma_th_it;
++inelastic_strain_it;
++previous_sigma_th_it;
//++previous_stress_it;
++previous_gradu_it;
++green_strain_it;
++previous_inelastic_strain_it;
++previous_piola_kirchhoff_2_it;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
}
// Infinitesimal deformations
else {
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, ghost_type);
auto & inelastic_strain_tensor = *inelastic_strain_it;
auto & previous_inelastic_strain_tensor = *previous_inelastic_strain_it;
auto & previous_grad_u = *previous_gradu_it;
auto & previous_sigma = *previous_stress_it;
computeStressOnQuad(
grad_u, previous_grad_u, sigma, previous_sigma, inelastic_strain_tensor,
previous_inelastic_strain_tensor, *sigma_th_it, *previous_sigma_th_it);
++sigma_th_it;
++inelastic_strain_it;
++previous_sigma_th_it;
++previous_stress_it;
++previous_gradu_it;
++previous_inelastic_strain_it;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
}
AKANTU_DEBUG_OUT();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension>
void MaterialDruckerPrager<spatial_dimension>::computeTangentModuli(
ElementType /*el_type*/, Array<Real> & /*tangent_matrix*/,
GhostType /*ghost_type*/) {
AKANTU_DEBUG_IN();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
INSTANTIATE_MATERIAL(plastic_drucker_prager, MaterialDruckerPrager);
} // namespace akantu

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