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rAKA/src/common/aka_voigthelper.hh
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/**
* @file aka_voigthelper.hh
*
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @author Lucas Frerot <lucas.frerot@epfl.ch>
* @author Till Junge <till.junge@epfl.ch>
* @author Daniel Pino Muñoz <daniel.pinomunoz@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Dec 20 2013
* @date last modification: Tue Sep 29 2020
*
* @brief Helper file for Voigt notation
* Wikipedia convention: @f[2*\epsilon_{ij} (i!=j) = voigt_\epsilon_{I}@f]
* http://en.wikipedia.org/wiki/Voigt_notation
*
*
* @section LICENSE
*
* Copyright (©) 2014-2021 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 "aka_types.hh"
/* -------------------------------------------------------------------------- */
#ifndef AKA_VOIGTHELPER_HH_
#define AKA_VOIGTHELPER_HH_
namespace akantu {
/* -------------------------------------------------------------------------- */
template <Int dim> class VoigtHelper {
static_assert(dim > 0U, "Cannot be < 1D");
static_assert(dim < 4U, "Cannot be > 3D");
public:
/* ------------------------------------------------------------------------ */
template <class M, class V>
static constexpr inline void matrixToVoigt(M && matrix, V && vector);
template <class M>
static constexpr inline decltype(auto) matrixToVoigt(M && matrix);
template <class M, class V>
static constexpr inline void matrixToVoigtWithFactors(M && matrix,
V && vector);
template <class M>
static constexpr inline decltype(auto) matrixToVoigtWithFactors(M && matrix);
template <class M, class V>
static constexpr inline void voigtToMatrix(V && vector, M && matrix);
template <class V>
static constexpr inline decltype(auto) voigtToMatrix(V && vector);
/* ------------------------------------------------------------------------ */
/// transfer the B matrix to a Voigt notation B matrix
template <typename D1, typename D2>
static constexpr inline void
transferBMatrixToSymVoigtBMatrix(const Eigen::MatrixBase<D1> & B,
Eigen::MatrixBase<D2> & Bvoigt,
Int nb_nodes_per_element);
/// transfer the BNL matrix to a Voigt notation B matrix (See Bathe et al.
/// IJNME vol 9, 1975)
template <typename D1, typename D2>
static constexpr inline void
transferBMatrixToBNL(const Eigen::MatrixBase<D1> & B,
Eigen::MatrixBase<D2> & Bvoigt,
Int nb_nodes_per_element);
/// transfer the BL2 matrix to a Voigt notation B matrix (See Bathe et al.
/// IJNME vol 9, 1975)
template <typename D1, typename D2, typename D3>
static constexpr inline void transferBMatrixToBL2(
const Eigen::MatrixBase<D1> & B, const Eigen::MatrixBase<D2> & grad_u,
Eigen::MatrixBase<D3> & Bvoigt, Int nb_nodes_per_element);
public:
static constexpr Int size{(dim * (dim - 1)) / 2 + dim};
// matrix of vector index I as function of tensor indices i,j
static const Idx mat[dim][dim];
// array of matrix indices ij as function of vector index I
static const Idx vec[dim * dim][2];
// factors to multiply the strain by for voigt notation
static const Real factors[size];
};
} // namespace akantu
#include "aka_voigthelper_tmpl.hh"
#endif
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