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test_elastic_homogenization.cc
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rAKA akantu
test_elastic_homogenization.cc
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/**
* @file test_elastic_homogenization.cc
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @date Mon Jan 25 18:32:09 2016
*
* @brief Test elastic homogenization of stiffness tensor
*
* @section LICENSE
*
* Copyright (©) 2010-2011 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 "solid_mechanics_model_RVE.hh"
#include "material_elastic_linear_anisotropic.hh"
using
namespace
akantu
;
/* -------------------------------------------------------------------------- */
int
main
(
int
argc
,
char
*
argv
[])
{
akantu
::
initialize
(
"material_orthotropic.dat"
,
argc
,
argv
);
const
UInt
spatial_dimension
=
2
;
const
ElementType
element_type
=
_triangle_3
;
const
GhostType
ghost_type
=
_not_ghost
;
Mesh
mesh
(
spatial_dimension
);
mesh
.
read
(
"homogenized_plate.msh"
);
SolidMechanicsModelRVE
model
(
mesh
,
false
);
/// model initialization
model
.
initFull
();
/// apply eigenstrain
Array
<
Real
>
&
prestrain_vect
=
const_cast
<
Array
<
Real
>
&>
(
model
.
getMaterial
(
0
).
getInternal
<
Real
>
(
"eigen_grad_u"
)(
element_type
,
ghost_type
));
Array
<
Real
>::
iterator
<
Matrix
<
Real
>
>
prestrain_it
=
prestrain_vect
.
begin
(
spatial_dimension
,
spatial_dimension
);
Array
<
Real
>::
iterator
<
Matrix
<
Real
>
>
prestrain_end
=
prestrain_vect
.
end
(
spatial_dimension
,
spatial_dimension
);
//(*prestrain_it)(0,0) = 0.2;
//(*prestrain_it)(1,1) = 0.2;
for
(;
prestrain_it
!=
prestrain_end
;
++
prestrain_it
)
(
*
prestrain_it
)
+=
1.0
;
/// storage for results of 3 different loading states
UInt
voigt_size
=
VoigtHelper
<
spatial_dimension
>::
size
;
MaterialElasticLinearAnisotropic
<
spatial_dimension
>
&
mat
=
dynamic_cast
<
MaterialElasticLinearAnisotropic
<
spatial_dimension
>
&
>
(
model
.
getMaterial
(
0
));
Matrix
<
Real
>
voigt_stiffness
=
mat
.
getVoigtStiffness
();
/// homogenize
Matrix
<
Real
>
C
(
voigt_size
,
voigt_size
);
model
.
homogenizeStiffness
(
C
);
for
(
UInt
i
=
0
;
i
<
voigt_size
;
++
i
)
{
for
(
UInt
j
=
0
;
j
<
voigt_size
;
++
j
)
{
std
::
cout
<<
"exact: "
<<
voigt_stiffness
(
i
,
j
)
<<
" approximated: "
<<
C
(
i
,
j
)
<<
std
::
endl
;
if
(
std
::
abs
(
voigt_stiffness
(
i
,
j
)
-
C
(
i
,
j
))
>
1.e-10
)
{
std
::
cout
<<
"The material homogenization failed"
<<
std
::
endl
;
finalize
();
return
EXIT_FAILURE
;
}
}
}
finalize
();
return
EXIT_SUCCESS
;
}
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