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material_elastic_linear_anisotropic_inline_impl.cc
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rAKA akantu
material_elastic_linear_anisotropic_inline_impl.cc
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/**
* @file material_elastic_linear_anisotropic_inline_impl.cc
*
* @author Enrico Milanese <enrico.milanese@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Feb 16 2018
* @date last modification: Fri Feb 16 2018
*
* @brief Implementation of the inline functions of the material elastic linear
* anisotropic
*
* @section LICENSE
*
* Copyright (©) 2016-2018 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 "material_elastic_linear_anisotropic.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_MATERIAL_ELASTIC_LINEAR_ANISOTROPIC_INLINE_IMPL_CC__
#define __AKANTU_MATERIAL_ELASTIC_LINEAR_ANISOTROPIC_INLINE_IMPL_CC__
namespace
akantu
{
/* -------------------------------------------------------------------------- */
template
<
UInt
dim
>
inline
void
MaterialElasticLinearAnisotropic
<
dim
>::
computeStressOnQuad
(
const
Matrix
<
Real
>
&
grad_u
,
Matrix
<
Real
>
&
sigma
)
const
{
// Wikipedia convention:
// 2*eps_ij (i!=j) = voigt_eps_I
// http://en.wikipedia.org/wiki/Voigt_notation
Vector
<
Real
>
voigt_strain
(
voigt_h
::
size
);
Vector
<
Real
>
voigt_stress
(
voigt_h
::
size
);
for
(
UInt
I
=
0
;
I
<
voigt_h
::
size
;
++
I
)
{
Real
voigt_factor
=
voigt_h
::
factors
[
I
];
UInt
i
=
voigt_h
::
vec
[
I
][
0
];
UInt
j
=
voigt_h
::
vec
[
I
][
1
];
voigt_strain
(
I
)
=
voigt_factor
*
(
grad_u
(
i
,
j
)
+
grad_u
(
j
,
i
))
/
2.
;
}
voigt_stress
=
this
->
C
*
voigt_strain
;
for
(
UInt
I
=
0
;
I
<
voigt_h
::
size
;
++
I
)
{
UInt
i
=
voigt_h
::
vec
[
I
][
0
];
UInt
j
=
voigt_h
::
vec
[
I
][
1
];
sigma
(
i
,
j
)
=
sigma
(
j
,
i
)
=
voigt_stress
(
I
);
}
}
/* -------------------------------------------------------------------------- */
template
<
UInt
dim
>
inline
void
MaterialElasticLinearAnisotropic
<
dim
>::
computeTangentModuliOnQuad
(
Matrix
<
Real
>
&
tangent
)
const
{
tangent
.
copy
(
this
->
C
);
}
/* -------------------------------------------------------------------------- */
template
<
UInt
dim
>
inline
void
MaterialElasticLinearAnisotropic
<
dim
>::
computePotentialEnergyOnQuad
(
const
Matrix
<
Real
>
&
grad_u
,
const
Matrix
<
Real
>
&
sigma
,
Real
&
epot
)
{
AKANTU_DEBUG_ASSERT
(
this
->
symmetric
,
"The elastic constants matrix is not symmetric,"
"energy is not path independent."
);
epot
=
.5
*
sigma
.
doubleDot
(
grad_u
);
}
}
// namespace akantu
#endif
/* __AKANTU_MATERIAL_ELASTIC_LINEAR_ANISOTROPIC_INLINE_IMPL_CC__ */
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