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test_non_local_averaging.cc
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rAKA akantu
test_non_local_averaging.cc
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/**
* @file test_non_local_averaging.cc
*
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Sat Sep 26 2015
* @date last modification: Tue Dec 05 2017
*
* @brief test for non-local averaging of strain
*
* @section LICENSE
*
* Copyright (©) 2015-2018 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 "dumper_paraview.hh"
#include "non_local_manager.hh"
#include "non_local_neighborhood.hh"
#include "solid_mechanics_model.hh"
#include "test_material.hh"
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
/* -------------------------------------------------------------------------- */
int
main
(
int
argc
,
char
*
argv
[])
{
akantu
::
initialize
(
"material_avg.dat"
,
argc
,
argv
);
// some configuration variables
const
UInt
spatial_dimension
=
2
;
ElementType
element_type
=
_quadrangle_4
;
GhostType
ghost_type
=
_not_ghost
;
// mesh creation and read
Mesh
mesh
(
spatial_dimension
);
mesh
.
read
(
"plate.msh"
);
/// model creation
SolidMechanicsModel
model
(
mesh
);
/// creation of material selector
auto
&&
mat_selector
=
std
::
make_shared
<
MeshDataMaterialSelector
<
std
::
string
>>
(
"physical_names"
,
model
);
model
.
setMaterialSelector
(
mat_selector
);
/// model initialization changed to use our material
model
.
initFull
();
/// dump material index in paraview
model
.
addDumpField
(
"material_index"
);
model
.
addDumpField
(
"grad_u"
);
model
.
addDumpField
(
"grad_u non local"
);
model
.
dump
();
/// apply constant strain field everywhere in the plate
Matrix
<
Real
>
applied_strain
(
spatial_dimension
,
spatial_dimension
);
applied_strain
.
clear
();
for
(
UInt
i
=
0
;
i
<
spatial_dimension
;
++
i
)
applied_strain
(
i
,
i
)
=
2.
;
/// apply constant grad_u field in all elements
for
(
UInt
m
=
0
;
m
<
model
.
getNbMaterials
();
++
m
)
{
auto
&
mat
=
model
.
getMaterial
(
m
);
auto
&
grad_u
=
const_cast
<
Array
<
Real
>
&>
(
mat
.
getInternal
<
Real
>
(
"eigen_grad_u"
)(
element_type
,
ghost_type
));
auto
grad_u_it
=
grad_u
.
begin
(
spatial_dimension
,
spatial_dimension
);
auto
grad_u_end
=
grad_u
.
end
(
spatial_dimension
,
spatial_dimension
);
for
(;
grad_u_it
!=
grad_u_end
;
++
grad_u_it
)
(
*
grad_u_it
)
=
-
1.
*
applied_strain
;
}
/// compute the non-local strains
model
.
assembleInternalForces
();
model
.
dump
();
/// verify the result: non-local averaging over constant field must
/// yield same constant field
Real
test_result
=
0.
;
Matrix
<
Real
>
difference
(
spatial_dimension
,
spatial_dimension
,
0.
);
for
(
UInt
m
=
0
;
m
<
model
.
getNbMaterials
();
++
m
)
{
auto
&
mat
=
model
.
getMaterial
(
m
);
auto
&
grad_u_nl
=
mat
.
getInternal
<
Real
>
(
"grad_u non local"
)(
element_type
,
ghost_type
);
auto
grad_u_nl_it
=
grad_u_nl
.
begin
(
spatial_dimension
,
spatial_dimension
);
auto
grad_u_nl_end
=
grad_u_nl
.
end
(
spatial_dimension
,
spatial_dimension
);
for
(;
grad_u_nl_it
!=
grad_u_nl_end
;
++
grad_u_nl_it
)
{
difference
=
(
*
grad_u_nl_it
)
-
applied_strain
;
test_result
+=
difference
.
norm
<
L_2
>
();
}
}
if
(
test_result
>
10.e-13
)
{
std
::
cout
<<
"the total norm is: "
<<
test_result
<<
std
::
endl
;
std
::
terminate
();
}
return
0
;
}
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