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material_elastic_linear_anisotropic_inline_impl.cc
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/**
* @file material_elastic_linear_anisotropic_inline_impl.cc
*
* @author Enrico Milanese <enrico.milanese@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Feb 16 2018
* @date last modification: Fri Feb 16 2018
*
* @brief Implementation of the inline functions of the material elastic linear
* anisotropic
*
* @section LICENSE
*
* Copyright (©) 2016-2018 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_elastic_linear_anisotropic.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_MATERIAL_ELASTIC_LINEAR_ANISOTROPIC_INLINE_IMPL_CC__
#define __AKANTU_MATERIAL_ELASTIC_LINEAR_ANISOTROPIC_INLINE_IMPL_CC__
namespace akantu {
/* -------------------------------------------------------------------------- */
template <UInt dim>
inline void MaterialElasticLinearAnisotropic<dim>::computeStressOnQuad(
const Matrix<Real> & grad_u, Matrix<Real> & sigma) const {
// Wikipedia convention:
// 2*eps_ij (i!=j) = voigt_eps_I
// http://en.wikipedia.org/wiki/Voigt_notation
Vector<Real> voigt_strain(voigt_h::size);
Vector<Real> voigt_stress(voigt_h::size);
for (UInt I = 0; I < voigt_h::size; ++I) {
Real voigt_factor = voigt_h::factors[I];
UInt i = voigt_h::vec[I][0];
UInt j = voigt_h::vec[I][1];
voigt_strain(I) = voigt_factor * (grad_u(i, j) + grad_u(j, i)) / 2.;
}
voigt_stress = this->C * voigt_strain;
for (UInt I = 0; I < voigt_h::size; ++I) {
UInt i = voigt_h::vec[I][0];
UInt j = voigt_h::vec[I][1];
sigma(i, j) = sigma(j, i) = voigt_stress(I);
}
}
/* -------------------------------------------------------------------------- */
template <UInt dim>
inline void MaterialElasticLinearAnisotropic<dim>::computeTangentModuliOnQuad(
Matrix<Real> & tangent) const {
tangent.copy(this->C);
}
/* -------------------------------------------------------------------------- */
template <UInt dim>
inline void MaterialElasticLinearAnisotropic<dim>::computePotentialEnergyOnQuad(
const Matrix<Real> & grad_u, const Matrix<Real> & sigma, Real & epot) {
AKANTU_DEBUG_ASSERT(this->symmetric,
"The elastic constants matrix is not symmetric,"
"energy is not path independent.");
epot = .5 * sigma.doubleDot(grad_u);
}
} // namespace akantu
#endif /* __AKANTU_MATERIAL_ELASTIC_LINEAR_ANISOTROPIC_INLINE_IMPL_CC__ */

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