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rAKA/src/model/solid_mechanics/materials/material_damage/material_damage_tmpl.hh
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material_damage_tmpl.hh
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/**
* Copyright (©) 2010-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* 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 <Int dim, template <Int> class Parent>
MaterialDamage<dim, Parent>::MaterialDamage(SolidMechanicsModel & model,
const ID & id)
: Parent<dim>(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 <Int dim, template <Int> class Parent>
void MaterialDamage<dim, Parent>::initMaterial() {
AKANTU_DEBUG_IN();
Parent<dim>::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 <Int dim, template <Int> class Parent>
void MaterialDamage<dim, Parent>::updateEnergies(ElementType el_type) {
Parent<dim>::updateEnergies(el_type);
this->computePotentialEnergy(el_type);
auto epsilon_p = this->gradu.previous(el_type).begin(dim, dim);
auto sigma_p = this->stress.previous(el_type).begin(dim, dim);
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 <Int dim, template <Int> class Parent>
void MaterialDamage<dim, Parent>::computeTangentModuli(
ElementType el_type, Array<Real> & tangent_matrix, GhostType ghost_type) {
AKANTU_DEBUG_IN();
constexpr auto tangent_size = Material::getTangentStiffnessVoigtSize(dim);
for (auto && data :
zip_append(getArguments(el_type, ghost_type),
"tangent_moduli"_n =
make_view<tangent_size, tangent_size>(tangent_matrix))) {
Parent<dim>::computeTangentModuliOnQuad(data);
computeTangentModuliOnQuad(data);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <Int dim, template <Int> class Parent>
template <class Args>
void MaterialDamage<dim, Parent>::computeTangentModuliOnQuad(
Args && arguments) {
arguments["tangent_moduli"_n].array() *= (1 - arguments["damage"_n]);
}
/* -------------------------------------------------------------------------- */
template <Int dim, template <Int> class Parent>
auto MaterialDamage<dim, Parent>::getDissipatedEnergy() const -> Real {
AKANTU_DEBUG_IN();
Real de = 0.;
/// integrate the dissipated energy for each type of elements
for (auto && type : this->element_filter.elementTypes(dim, _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 <Int dim, template <Int> class Parent>
Real MaterialDamage<dim, Parent>::getEnergy(const std::string & type) {
if (type == "dissipated") {
return getDissipatedEnergy();
}
return Parent<dim>::getEnergy(type);
}
/* -------------------------------------------------------------------------- */
} // namespace akantu
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