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material_damage_tmpl.hh
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Wed, Jun 5, 20:31

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(this->registerInternal("damage", 1)),
dissipated_energy(this->registerInternal("damage dissipated energy", 1)),
int_sigma(this->registerInternal("integral of sigma", 1)) {
damage.initializeHistory();
}
/* -------------------------------------------------------------------------- */
/**
* 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);
for (auto && [args, epot, edis, ints] :
zip(getArguments(el_type), this->potential_energy(el_type),
this->dissipated_energy(el_type), this->int_sigma(el_type))) {
Matrix<Real, dim, dim> delta_gradu =
args["grad_u"_n] - args["previous_grad_u"_n];
Matrix<Real, dim, dim> sigma_h = args["sigma"_n] + args["previous_sigma"_n];
auto dint = sigma_h.doubleDot(delta_gradu) / 2;
ints += dint;
edis = ints - epot;
}
}
/* --------------------------------------------------------------------------
*/
template <Int dim, template <Int> class Parent>
void MaterialDamage<dim, Parent>::computeTangentModuli(
ElementType el_type, Array<Real> & tangent_matrix, GhostType ghost_type) {
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);
}
}
/* --------------------------------------------------------------------------
*/
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 {
Real de = 0.;
/// integrate the dissipated energy for each type of elements
for (auto && type : this->getElementFilter().elementTypes(dim, _not_ghost)) {
de += this->getFEEngine().integrate(
this->dissipated_energy(type, _not_ghost), type, _not_ghost,
this->getElementFilter(type, _not_ghost));
}
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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