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test_structural_mechanics_model_kirchhoff_shell_patch_test_4_5_5.cc
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rAKA akantu
test_structural_mechanics_model_kirchhoff_shell_patch_test_4_5_5.cc
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/**
* @file test_structural_mechanics_model_kirchhoff_shell_patch_test_4_5_5.cc
*
* @author Damien Spielmann <damien.spielmann@epfl.ch>
*
* @date creation: Thu Feb 21 2013
* @date last modification: Sun Oct 19 2014
*
* @brief patch test exemple 4.5.5 c.f. modelisation des structures par
* éléments finis J.-L. Batoz/G Dhatt
*
* @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/>.
*
*/
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
#include <fstream>
#include <limits>
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
#include "material.hh"
#include "mesh.hh"
#include "mesh_io.hh"
#include "mesh_io_msh.hh"
#include "structural_mechanics_model.hh"
/* -------------------------------------------------------------------------- */
#define TYPE _discrete_kirchhoff_triangle_18
using
namespace
akantu
;
int
main
(
int
argc
,
char
*
argv
[])
{
initialize
(
argc
,
argv
);
Mesh
shell
(
3
);
debug
::
setDebugLevel
(
dblWarning
);
std
::
cout
<<
"Initialisation"
<<
std
::
endl
;
/* --------------------------------------------------------------------------
*/
// Defining the mesh
UInt
nb_nodes
=
5
;
UInt
nb_element
=
4
;
Array
<
Real
>
&
nodes
=
const_cast
<
Array
<
Real
>
&>
(
shell
.
getNodes
());
nodes
.
resize
(
nb_nodes
);
Real
a
=
20.
;
Real
b
=
10.
;
nodes
(
0
,
0
)
=
0.
;
nodes
(
0
,
1
)
=
0.
;
nodes
(
0
,
2
)
=
0.
;
nodes
(
1
,
0
)
=
2
*
a
;
nodes
(
1
,
1
)
=
0.
;
nodes
(
1
,
2
)
=
0.
;
nodes
(
2
,
0
)
=
0.
;
nodes
(
2
,
1
)
=
2
*
b
;
nodes
(
2
,
2
)
=
0.
;
nodes
(
3
,
0
)
=
2
*
a
;
nodes
(
3
,
1
)
=
2
*
b
;
nodes
(
3
,
2
)
=
0.
;
nodes
(
4
,
0
)
=
15.
;
nodes
(
4
,
1
)
=
15.
;
nodes
(
4
,
2
)
=
0.
;
shell
.
addConnectivityType
(
TYPE
);
Array
<
UInt
>
&
connectivity
=
const_cast
<
Array
<
UInt
>
&>
(
shell
.
getConnectivity
(
TYPE
));
connectivity
.
resize
(
nb_element
);
connectivity
(
0
,
0
)
=
1
;
connectivity
(
0
,
1
)
=
3
;
connectivity
(
0
,
2
)
=
4
;
connectivity
(
1
,
0
)
=
3
;
connectivity
(
1
,
1
)
=
2
;
connectivity
(
1
,
2
)
=
4
;
connectivity
(
2
,
0
)
=
2
;
connectivity
(
2
,
1
)
=
4
;
connectivity
(
2
,
2
)
=
0
;
connectivity
(
3
,
0
)
=
0
;
connectivity
(
3
,
1
)
=
1
;
connectivity
(
3
,
2
)
=
4
;
akantu
::
MeshIOMSH
mesh_io
;
mesh_io
.
write
(
"b_beam_3_12_10_13.msh"
,
shell
);
std
::
cout
<<
"Mesh definition"
<<
std
::
endl
;
/* --------------------------------------------------------------------------
*/
// Defining the materials
akantu
::
StructuralMechanicsModel
model
(
shell
);
// ä döfinir
StructuralMaterial
mat1
;
mat1
.
E
=
1000
;
mat1
.
nu
=
0.3
;
mat1
.
t
=
1
;
model
.
addMaterial
(
mat1
);
std
::
cout
<<
"Material Definition"
<<
std
::
endl
;
/* --------------------------------------------------------------------------
*/
// Defining the deplacement
model
.
initFull
();
// Array<Real> & forces = model.getForce();
Array
<
Real
>
&
displacement
=
model
.
getDisplacement
();
Array
<
bool
>
&
boundary
=
model
.
getBlockedDOFs
();
displacement
(
0
,
0
)
=
0
;
displacement
(
0
,
1
)
=
0
;
displacement
(
0
,
2
)
=
0
;
displacement
(
0
,
3
)
=
0
;
displacement
(
0
,
4
)
=
0
;
displacement
(
1
,
0
)
=
0
;
displacement
(
1
,
1
)
=
0
;
displacement
(
1
,
2
)
=
-
800
;
displacement
(
1
,
3
)
=
-
40
;
displacement
(
1
,
4
)
=
-
20
;
displacement
(
2
,
0
)
=
0
;
displacement
(
2
,
1
)
=
0
;
displacement
(
2
,
2
)
=
-
200
;
displacement
(
2
,
3
)
=
-
10
;
displacement
(
2
,
4
)
=
-
20
;
displacement
(
3
,
0
)
=
0
;
displacement
(
3
,
1
)
=
0
;
displacement
(
3
,
2
)
=
-
1400
;
displacement
(
3
,
3
)
=
-
50
;
displacement
(
3
,
4
)
=
-
40
;
/*displacement(4,0)=0;
displacement(4,1)=0;*/
/* displacement(4,2)=;
displacement(4,3)=;
displacement(4,4)=;*/
/* --------------------------------------------------------------------------
*/
// Defining the boundary conditions
boundary
(
0
,
0
)
=
true
;
boundary
(
0
,
1
)
=
true
;
boundary
(
0
,
2
)
=
true
;
boundary
(
0
,
3
)
=
true
;
boundary
(
0
,
4
)
=
true
;
boundary
(
0
,
5
)
=
true
;
boundary
(
1
,
0
)
=
true
;
boundary
(
1
,
1
)
=
true
;
boundary
(
1
,
2
)
=
true
;
boundary
(
1
,
3
)
=
true
;
boundary
(
1
,
4
)
=
true
;
boundary
(
1
,
5
)
=
true
;
boundary
(
2
,
0
)
=
true
;
boundary
(
2
,
1
)
=
true
;
boundary
(
2
,
2
)
=
true
;
boundary
(
2
,
3
)
=
true
;
boundary
(
2
,
4
)
=
true
;
boundary
(
2
,
5
)
=
true
;
boundary
(
3
,
0
)
=
true
;
boundary
(
3
,
1
)
=
true
;
boundary
(
3
,
2
)
=
true
;
boundary
(
3
,
3
)
=
true
;
boundary
(
3
,
4
)
=
true
;
boundary
(
3
,
5
)
=
true
;
// boundary(4,0) = true;
// boundary(4,1) = true;
// boundary(4,2) = true;
// boundary(4,3) = true;
// boundary(4,4) = true;
boundary
(
4
,
5
)
=
true
;
std
::
cout
<<
"BC Definition"
<<
std
::
endl
;
/* --------------------------------------------------------------------------
*/
// Solve
Real
error
;
model
.
assembleStiffnessMatrix
();
std
::
cout
<<
"Assemble Done"
<<
std
::
endl
;
model
.
getStiffnessMatrix
().
saveMatrix
(
"K_4_5_5.mtx"
);
UInt
count
=
0
;
std
::
cout
<<
"Matrix saved"
<<
std
::
endl
;
model
.
addDumpField
(
"displacement"
);
model
.
addDumpField
(
"rotation"
);
model
.
addDumpField
(
"force"
);
model
.
addDumpField
(
"momentum"
);
do
{
model
.
updateResidual
();
model
.
solve
();
count
++
;
}
while
(
!
model
.
testConvergenceIncrement
(
1e-10
,
error
)
&&
count
<
10
);
/* --------------------------------------------------------------------------
*/
// Post-Processing
model
.
computeStresses
();
// const SparseMatrix = model.getStiffnessMatrix();
std
::
cout
<<
"u = "
<<
displacement
(
4
,
0
)
<<
std
::
endl
;
std
::
cout
<<
"v = "
<<
displacement
(
4
,
1
)
<<
std
::
endl
;
std
::
cout
<<
"w5 = "
<<
displacement
(
4
,
2
)
<<
std
::
endl
;
std
::
cout
<<
"betax = "
<<
displacement
(
4
,
3
)
<<
std
::
endl
;
std
::
cout
<<
"betay = "
<<
displacement
(
4
,
4
)
<<
std
::
endl
;
std
::
cout
<<
"betaz = "
<<
displacement
(
4
,
5
)
<<
std
::
endl
;
// model.dump();
}
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