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aka_voigthelper.cc
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/**
* @file aka_voigthelper
*
* @author Lucas Frerot <lucas.frerot@epfl.ch>
*
* @date Thu 11 21 15:25:59 2013
*
* @brief Voigt indices
*
* @section LICENSE
*
* Copyright (©) 2010-2013 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 "aka_voigthelper.hh"
__BEGIN_AKANTU__
/* -------------------------------------------------------------------------- */
template <> const UInt VoigtHelper<1>::mat[][1] = {{0}};
template <> const UInt VoigtHelper<2>::mat[][2] = {{0, 2},
{3, 1}};
template <> const UInt VoigtHelper<3>::mat[][3] = {{0, 5, 4},
{8, 1, 3},
{7, 6, 2}};
template <> const UInt VoigtHelper<1>::vec[][2] = {{0, 0}};
template <> const UInt VoigtHelper<2>::vec[][2] = {{0, 0},
{1, 1},
{0, 1},
{1, 0}};
template <> const UInt VoigtHelper<3>::vec[][2] = {{0, 0},
{1, 1},
{2, 2},
{1, 2},
{0, 2},
{0, 1},
{2, 1},
{2, 0},
{1, 0}};
template <> const Real VoigtHelper<1>::factors[] = {1.};
template <> const Real VoigtHelper<2>::factors[] = {1., 1., 1., 2.};
template <> const Real VoigtHelper<3>::factors[] = {1., 1., 1.,
2., 2., 2.};
/* -------------------------------------------------------------------------- */
template<>
void VoigtHelper<3>::transferBMatrixToBL2(const Matrix<Real> & B, const Matrix<Real> & grad_u,
Matrix<Real> & Bvoigt,
UInt nb_nodes_per_element) {
Bvoigt.clear();
for (UInt i = 0; i < 3; ++i)
for (UInt j = 0; j < nb_nodes_per_element; ++j)
for (UInt k = 0; k < 3; ++k)
Bvoigt(i, j * 3 + k) = grad_u(k, i) * B(i, j);
for (UInt i = 3; i < 6; ++i)
for (UInt j = 0; j < nb_nodes_per_element; ++j)
for (UInt k = 0; k < 3; ++k){
UInt aux = i-3 ;
for (UInt m = 0; m < 3; ++m) {
if (m != aux) {
UInt index1 = m;
UInt index2 = 3 - m - aux;
Bvoigt(i, j * 3 + k) += grad_u(k, index1) * B(index2, j);
}
}
}
}
/* -------------------------------------------------------------------------- */
template<>
void VoigtHelper<2>::transferBMatrixToBL2(const Matrix<Real> & B, const Matrix<Real> & grad_u,
Matrix<Real> & Bvoigt,
UInt nb_nodes_per_element) {
Bvoigt.clear();
for (UInt i = 0; i < 2; ++i)
for (UInt j = 0; j < nb_nodes_per_element; ++j)
for (UInt k = 0; k < 2; ++k)
Bvoigt(i, j * 2 + k) = grad_u(k, i) * B(i, j);
for (UInt j = 0; j < nb_nodes_per_element; ++j)
for (UInt k = 0; k < 2; ++k)
for (UInt m = 0; m < 2; ++m) {
UInt index1 = m;
UInt index2 = (2 - 1) - m;
Bvoigt(2, j * 2 + k) += grad_u(k, index1) * B(index2, j);
}
}
/* -------------------------------------------------------------------------- */
template<>
void VoigtHelper<1>::transferBMatrixToBL2(const Matrix<Real> & B, const Matrix<Real> & grad_u,
Matrix<Real> & Bvoigt,
UInt nb_nodes_per_element) {
Bvoigt.clear();
for (UInt j = 0; j < nb_nodes_per_element; ++j)
for (UInt k = 0; k < 2; ++k)
Bvoigt(0, j * 2 + k) = grad_u(k, 0) * B(0, j);
}
__END_AKANTU__

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