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aka_voigthelper.hh
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aka_voigthelper.hh
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/**
* Copyright (©) 2013-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* 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 {
namespace details {
template <Int dim> struct VoigtHelperData {
static inline constexpr Int size{(dim * (dim - 1)) / 2 + dim};
// matrix of vector index I as function of tensor indices i,j
static constexpr std::array<std::array<Idx, dim>, dim> mat{};
// array of matrix indices ij as function of vector index I
static constexpr std::array<std::array<Idx, 2>, dim * dim> vec{};
// factors to multiply the strain by for voigt notation
static constexpr std::array<Real, size> factors{};
};
template <> struct VoigtHelperData<1> {
static constexpr Int size{1};
static constexpr std::array<std::array<Idx, 1>, 1> mat{{{0}}};
static constexpr std::array<std::array<Idx, 2>, 1> vec{{{0, 0}}};
static constexpr std::array<Real, 1> factors{1.};
};
template <> struct VoigtHelperData<2> {
static constexpr Int size{3};
static constexpr std::array<std::array<Idx, 2>, 2> mat{{{0, 2}, {3, 1}}};
static constexpr std::array<std::array<Idx, 2>, 4> vec{
{{0, 0}, {1, 1}, {0, 1}, {1, 0}}};
static constexpr std::array<Real, 3> factors{1., 1., 2.};
};
template <> struct VoigtHelperData<3> {
static constexpr Int size{6};
static constexpr std::array<std::array<Idx, 3>, 3> mat{
{{0, 5, 4}, {8, 1, 3}, {7, 6, 2}}};
static constexpr std::array<std::array<Idx, 2>, 9> vec{{{0, 0},
{1, 1},
{2, 2},
{1, 2},
{0, 2},
{0, 1},
{2, 1},
{2, 0},
{1, 0}}};
static constexpr std::array<Real, 6> factors{1., 1., 1., 2., 2., 2.};
};
} // namespace details
/* -------------------------------------------------------------------------- */
template <Int dim> class VoigtHelper : public details::VoigtHelperData<dim> {
static_assert(dim > 0U, "Cannot be < 1D");
static_assert(dim < 4U, "Cannot be > 3D");
using data = details::VoigtHelperData<dim>;
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> & dNdX, const Eigen::MatrixBase<D2> & grad_u,
Eigen::MatrixBase<D3> & Bvoigt, Int nb_nodes_per_element);
};
} // namespace akantu
#include "aka_voigthelper_tmpl.hh"
#endif

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