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rAKA akantu
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: Mon Jan 29 2018
*
* @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
*
*
* Copyright (©) 2014-2018 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 "aka_common.hh"
#include "aka_types.hh"
/* -------------------------------------------------------------------------- */
#ifndef AKA_VOIGTHELPER_HH_
#define AKA_VOIGTHELPER_HH_
namespace
akantu
{
/* -------------------------------------------------------------------------- */
template
<
UInt
dim
>
class
VoigtHelper
{
static_assert
(
dim
>
0U
,
"Cannot be < 1D"
);
static_assert
(
dim
<
4U
,
"Cannot be > 3D"
);
public
:
/* ------------------------------------------------------------------------ */
template
<
class
M
,
class
V
>
static
inline
void
matrixToVoigt
(
M
&&
matrix
,
V
&&
vector
);
template
<
class
M
>
static
inline
decltype
(
auto
)
matrixToVoigt
(
M
&&
matrix
);
template
<
class
M
,
class
V
>
static
inline
void
matrixToVoigtWithFactors
(
M
&&
matrix
,
V
&&
vector
);
template
<
class
M
>
static
inline
decltype
(
auto
)
matrixToVoigtWithFactors
(
M
&&
matrix
);
template
<
class
M
,
class
V
>
static
inline
void
voigtToMatrix
(
V
&&
vector
,
M
&&
matrix
);
template
<
class
V
>
static
inline
decltype
(
auto
)
voigtToMatrix
(
V
&&
vector
);
/* ------------------------------------------------------------------------ */
/// 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
];
};
}
// namespace akantu
#include "aka_voigthelper_tmpl.hh"
#endif
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