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material_damage_tmpl.hh
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Sat, May 11, 21:41

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 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: Tue Aug 18 2015
*
* @brief Specialization of the material class for the damage material
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014, 2015 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) :
Material(model, 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, GhostType ghost_type) {
Parent<spatial_dimension>::updateEnergies(el_type, ghost_type);
this->computePotentialEnergy(el_type, ghost_type);
Array<Real>::matrix_iterator epsilon_p =
this->gradu.previous(el_type, ghost_type).begin(spatial_dimension, spatial_dimension);
Array<Real>::matrix_iterator sigma_p =
this->stress.previous(el_type, ghost_type).begin(spatial_dimension, spatial_dimension);
Array<Real>::const_scalar_iterator epot = this->potential_energy(el_type, ghost_type).begin();
Array<Real>::scalar_iterator ints = this->int_sigma(el_type, ghost_type).begin();
Array<Real>::scalar_iterator ed = this->dissipated_energy(el_type, ghost_type).begin();
MATERIAL_STRESS_QUADRATURE_POINT_LOOP_BEGIN(el_type, ghost_type);
Matrix<Real> delta_gradu_it(*gradu_it);
delta_gradu_it -= *epsilon_p;
Matrix<Real> sigma_h(sigma);
sigma_h += *sigma_p;
Real dint = .5 * sigma_h.doubleDot(delta_gradu_it);
*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(const 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.;
const Mesh & mesh = this->model->getFEEngine().getMesh();
/// integrate the dissipated energy for each type of elements
Mesh::type_iterator it = mesh.firstType(spatial_dimension, _not_ghost);
Mesh::type_iterator end = mesh.lastType(spatial_dimension, _not_ghost);
for(; it != end; ++it) {
de += this->model->getFEEngine().integrate(dissipated_energy(*it, _not_ghost), *it,
_not_ghost, this->element_filter(*it, _not_ghost));
}
AKANTU_DEBUG_OUT();
return de;
}
/* -------------------------------------------------------------------------- */
template<UInt spatial_dimension, template<UInt> class Parent>
Real MaterialDamage<spatial_dimension, Parent>::getEnergy(std::string type) {
if(type == "dissipated") return getDissipatedEnergy();
else return Parent<spatial_dimension>::getEnergy(type);
}
/* -------------------------------------------------------------------------- */
} // akantu

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