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material_thermal.hh
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/**
* @file material_thermal.hh
*
* @author Lucas Frerot <lucas.frerot@epfl.ch>
*
* @date creation: Fri Jun 18 2010
* @date last modification: Fri Apr 09 2021
*
* @brief Material isotropic thermo-elastic
*
*
* @section LICENSE
*
* Copyright (©) 2010-2021 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 "aka_common.hh"
#include "material.hh"
/* -------------------------------------------------------------------------- */
#ifndef AKANTU_MATERIAL_THERMAL_HH_
#define AKANTU_MATERIAL_THERMAL_HH_
namespace akantu {
template <Int dim> class MaterialThermal : public Material {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
MaterialThermal(SolidMechanicsModel & model, const ID & id = "");
MaterialThermal(SolidMechanicsModel & model, Int spatial_dimension,
const Mesh & mesh, FEEngine & fe_engine, const ID & id = "");
~MaterialThermal() override = default;
protected:
void initialize();
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
void initMaterial() override;
/// constitutive law for all element of a type
void computeStress(ElementType el_type, GhostType ghost_type) override;
/// local computation of thermal stress
template <class Args> inline void computeStressOnQuad(Args && args);
/* ------------------------------------------------------------------------ */
decltype(auto) getArguments(ElementType el_type, GhostType ghost_type) {
return zip_append(
Material::getArguments<dim>(el_type, ghost_type),
"delta_T"_n = make_view(this->delta_T(el_type, ghost_type)),
"sigma_th"_n = make_view(this->sigma_th(el_type, ghost_type)),
"previous_sigma_th"_n =
make_view(this->sigma_th.previous(el_type, ghost_type)));
}
decltype(auto) getArgumentsTangent(Array<Real> & tangent_matrices,
ElementType el_type,
GhostType ghost_type) {
return Material::getArgumentsTangent<dim>(tangent_matrices, el_type,
ghost_type);
}
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected:
/// Young modulus
Real E;
/// Poisson ratio
Real nu;
/// Thermal expansion coefficient
/// TODO : implement alpha as a matrix
Real alpha;
/// Temperature field
InternalField<Real> delta_T;
/// Current thermal stress
InternalField<Real> sigma_th;
};
/* ------------------------------------------------------------------------ */
/* Inline impl */
/* ------------------------------------------------------------------------ */
template <Int dim>
template <class Args>
inline void MaterialThermal<dim>::computeStressOnQuad(Args && args) {
auto && sigma = args["sigma_th"_n];
auto && deltaT = args["delta_T"_n];
sigma = -this->E / (1. - 2. * this->nu) * this->alpha * deltaT;
}
template <>
template <class Args>
inline void MaterialThermal<1>::computeStressOnQuad(Args && args) {
auto && sigma = args["sigma_th"_n];
auto && deltaT = args["delta_T"_n];
sigma = -this->E * this->alpha * deltaT;
}
} // namespace akantu
#endif /* AKANTU_MATERIAL_THERMAL_HH_ */

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