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material_damage_tmpl.hh
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material_damage_tmpl.hh
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/**
* @file material_damage_tmpl.hh
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Marion Estelle Chambart <marion.chambart@epfl.ch>
* @author Marion Estelle Chambart <mchambart@stucky.ch>
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @author Daniel Pino Muñoz <daniel.pinomunoz@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Jun 18 2010
* @date last modification: Fri Apr 09 2021
*
* @brief Specialization of the material class for the damage material
*
*
* @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_damage.hh"
#include "solid_mechanics_model.hh"
namespace akantu {
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension, template <UInt> class Parent>
MaterialDamage<spatial_dimension, Parent>::MaterialDamage(
SolidMechanicsModel & model, const ID & id)
: Parent<spatial_dimension>(model, id), damage("damage", *this),
dissipated_energy("damage dissipated energy", *this),
int_sigma("integral of sigma", *this) {
AKANTU_DEBUG_IN();
this->is_non_local = false;
this->use_previous_stress = true;
this->use_previous_gradu = true;
this->damage.initialize(1);
this->dissipated_energy.initialize(1);
this->int_sigma.initialize(1);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension, template <UInt> class Parent>
void MaterialDamage<spatial_dimension, Parent>::initMaterial() {
AKANTU_DEBUG_IN();
Parent<spatial_dimension>::initMaterial();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Compute the dissipated energy in each element by a trapezoidal approximation
* of
* @f$ Ed = \int_0^{\epsilon}\sigma(\omega)d\omega -
* \frac{1}{2}\sigma:\epsilon@f$
*/
template <UInt spatial_dimension, template <UInt> class Parent>
void MaterialDamage<spatial_dimension, Parent>::updateEnergies(
ElementType el_type) {
Parent<spatial_dimension>::updateEnergies(el_type);
this->computePotentialEnergy(el_type);
auto epsilon_p =
this->gradu.previous(el_type).begin(spatial_dimension, spatial_dimension);
auto sigma_p = this->stress.previous(el_type).begin(spatial_dimension,
spatial_dimension);
auto epot = this->potential_energy(el_type).begin();
auto ints = this->int_sigma(el_type).begin();
auto ed = this->dissipated_energy(el_type).begin();
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, _not_ghost);
Matrix<Real> delta_gradu(grad_u);
delta_gradu -= *epsilon_p;
Matrix<Real> sigma_h(sigma);
sigma_h += *sigma_p;
Real dint = .5 * sigma_h.doubleDot(delta_gradu);
*ints += dint;
*ed = *ints - *epot;
++epsilon_p;
++sigma_p;
++epot;
++ints;
++ed;
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_END;
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension, template <UInt> class Parent>
void MaterialDamage<spatial_dimension, Parent>::computeTangentModuli(
ElementType el_type, Array<Real> & tangent_matrix, GhostType ghost_type) {
AKANTU_DEBUG_IN();
Parent<spatial_dimension>::computeTangentModuli(el_type, tangent_matrix,
ghost_type);
Real * dam = this->damage(el_type, ghost_type).storage();
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_BEGIN(tangent_matrix);
computeTangentModuliOnQuad(tangent, *dam);
++dam;
MATERIAL_TANGENT_QUADRATURE_POINT_LOOP_END;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension, template <UInt> class Parent>
void MaterialDamage<spatial_dimension, Parent>::computeTangentModuliOnQuad(
Matrix<Real> & tangent, Real & dam) {
tangent *= (1 - dam);
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension, template <UInt> class Parent>
Real MaterialDamage<spatial_dimension, Parent>::getDissipatedEnergy() const {
AKANTU_DEBUG_IN();
Real de = 0.;
/// integrate the dissipated energy for each type of elements
for (auto & type :
this->element_filter.elementTypes(spatial_dimension, _not_ghost)) {
de +=
this->fem.integrate(dissipated_energy(type, _not_ghost), type,
_not_ghost, this->element_filter(type, _not_ghost));
}
AKANTU_DEBUG_OUT();
return de;
}
/* -------------------------------------------------------------------------- */
template <UInt spatial_dimension, template <UInt> class Parent>
Real MaterialDamage<spatial_dimension, Parent>::getEnergy(
const std::string & type) {
if (type == "dissipated") {
return getDissipatedEnergy();
}
return Parent<spatial_dimension>::getEnergy(type);
}
/* -------------------------------------------------------------------------- */
} // namespace akantu

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