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rAKA/src/common/aka_voigthelper.hh
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/**
* @file aka_voigthelper.hh
*
* @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: Fri Jan 22 2016
*
* @brief Helper file for Voigt notation
*
* @section LICENSE
*
* Copyright (©) 2014, 2015 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/>.
*
*/
#ifndef __AKA_VOIGTHELPER_HH__
#define __AKA_VOIGTHELPER_HH__
#include "aka_common.hh"
#include "aka_types.hh"
namespace akantu {
/* -------------------------------------------------------------------------- */
template <UInt dim> class VoigtHelper {
static_assert(dim != 0, "Cannot be 0D");
public:
/// transfer the B matrix to a Voigt notation B matrix
inline static void transferBMatrixToSymVoigtBMatrix(
const Matrix<Real> & B, Matrix<Real> & Bvoigt, UInt nb_nodes_per_element);
/// transfer the BNL matrix to a Voigt notation B matrix (See Bathe et al.
/// IJNME vol 9, 1975)
inline static void transferBMatrixToBNL(const Matrix<Real> & B,
Matrix<Real> & Bvoigt,
UInt nb_nodes_per_element);
/// transfer the BL2 matrix to a Voigt notation B matrix (See Bathe et al.
/// IJNME vol 9, 1975)
inline static void transferBMatrixToBL2(const Matrix<Real> & B,
const Matrix<Real> & grad_u,
Matrix<Real> & Bvoigt,
UInt nb_nodes_per_element);
public:
static constexpr UInt size{(dim * (dim - 1)) / 2 + dim};
// matrix of vector index I as function of tensor indices i,j
static const UInt mat[dim][dim];
// array of matrix indices ij as function of vector index I
static const UInt vec[dim * dim][2];
// factors to multiply the strain by for voigt notation
static const Real factors[size];
};
} // akantu
#include "aka_voigthelper_tmpl.hh"
#endif
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