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test_structural_mechanics_model_bernoulli_beam_3_exemple_1_1_xy.cc
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rAKA akantu
test_structural_mechanics_model_bernoulli_beam_3_exemple_1_1_xy.cc
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/**
* @file test_structural_mechanics_model_bernoulli_beam_3_exemple_1_1_xy.cc
*
* @author Fabian Barras <fabian.barras@epfl.ch>
*
* @date creation: Thu Feb 21 2013
* @date last modification: Sun Oct 19 2014
*
* @brief Test for _bernouilli_beam_3D
*
* @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 <limits>
#include <fstream>
/* -------------------------------------------------------------------------- */
#include "aka_common.hh"
#include "mesh.hh"
#include "mesh_io.hh"
#include "mesh_io_msh.hh"
#include "structural_mechanics_model.hh"
#include "material.hh"
/* -------------------------------------------------------------------------- */
#define TYPE _bernoulli_beam_3
using
namespace
akantu
;
//Linear load function
static
void
lin_load
(
double
*
position
,
double
*
load
,
__attribute__
((
unused
))
Real
*
normal
,
__attribute__
((
unused
))
UInt
surface_id
){
memset
(
load
,
0
,
sizeof
(
Real
)
*
6
);
if
(
position
[
0
]
<=
10
){
load
[
1
]
=
-
6000
;
}
}
int
main
(
int
argc
,
char
*
argv
[]){
initialize
(
argc
,
argv
);
Mesh
beams
(
3
);
debug
::
setDebugLevel
(
dblWarning
);
std
::
cout
<<
"Initialisation"
<<
std
::
endl
;
/* -------------------------------------------------------------------------- */
// Defining the mesh
UInt
nb_nodes
=
3
;
UInt
nb_nodes_1
=
1
;
UInt
nb_nodes_2
=
nb_nodes
-
nb_nodes_1
-
1
;
UInt
nb_element
=
nb_nodes
-
1
;
Array
<
Real
>
&
nodes
=
const_cast
<
Array
<
Real
>
&>
(
beams
.
getNodes
());
nodes
.
resize
(
nb_nodes
);
beams
.
addConnectivityType
(
_bernoulli_beam_3
);
Array
<
UInt
>
&
connectivity
=
const_cast
<
Array
<
UInt
>
&>
(
beams
.
getConnectivity
(
_bernoulli_beam_3
));
connectivity
.
resize
(
nb_element
);
beams
.
initNormals
();
Array
<
Real
>
&
normals
=
const_cast
<
Array
<
Real
>
&>
(
beams
.
getNormals
(
_bernoulli_beam_3
));
normals
.
resize
(
nb_element
);
for
(
UInt
i
=
0
;
i
<
nb_nodes
;
++
i
)
{
nodes
(
i
,
1
)
=
0
;
nodes
(
i
,
2
)
=
0
;
}
for
(
UInt
i
=
0
;
i
<
nb_nodes_1
;
++
i
)
{
nodes
(
i
,
0
)
=
10.
*
i
/
((
Real
)
nb_nodes_1
);
}
nodes
(
nb_nodes_1
,
0
)
=
10
;
for
(
UInt
i
=
0
;
i
<
nb_nodes_2
;
++
i
)
{
nodes
(
nb_nodes_1
+
i
+
1
,
0
)
=
10
+
8.
*
(
i
+
1
)
/
((
Real
)
nb_nodes_2
);
}
for
(
UInt
i
=
0
;
i
<
nb_element
;
++
i
)
{
connectivity
(
i
,
0
)
=
i
;
connectivity
(
i
,
1
)
=
i
+
1
;
normals
(
i
,
0
)
=
0
;
normals
(
i
,
1
)
=
0
;
normals
(
i
,
2
)
=
1
;
}
akantu
::
MeshIOMSH
mesh_io
;
mesh_io
.
write
(
"b_beam_3.msh"
,
beams
);
std
::
cout
<<
"Mesh definition"
<<
std
::
endl
;
/* -------------------------------------------------------------------------- */
// Defining the materials
akantu
::
StructuralMechanicsModel
model
(
beams
);
StructuralMaterial
mat1
;
mat1
.
E
=
3e10
;
mat1
.
Iz
=
0.0025
;
mat1
.
A
=
0.01
;
mat1
.
Iy
=
0.00128
;
mat1
.
GJ
=
0.00128
;
model
.
addMaterial
(
mat1
);
StructuralMaterial
mat2
;
mat2
.
E
=
3e10
;
mat2
.
Iz
=
0.00128
;
mat2
.
A
=
0.01
;
mat2
.
Iy
=
0.0025
;
mat2
.
GJ
=
0.0025
;
model
.
addMaterial
(
mat2
);
std
::
cout
<<
"Material Definition"
<<
std
::
endl
;
/* -------------------------------------------------------------------------- */
// Defining the forces
model
.
initFull
();
const
Real
M
=
-
3600
;
// Momentum at 3
Array
<
Real
>
&
forces
=
model
.
getForce
();
Array
<
Real
>
&
displacement
=
model
.
getDisplacement
();
Array
<
bool
>
&
boundary
=
model
.
getBlockedDOFs
();
const
Array
<
Real
>
&
N_M
=
model
.
getStress
(
_bernoulli_beam_3
);
Array
<
UInt
>
&
element_material
=
model
.
getElementMaterial
(
_bernoulli_beam_3
);
for
(
UInt
i
=
0
;
i
<
nb_nodes_2
;
++
i
)
{
element_material
(
i
+
nb_nodes_1
)
=
1
;
}
forces
(
nb_nodes
-
1
,
5
)
+=
M
;
model
.
computeForcesFromFunction
<
_bernoulli_beam_3
>
(
lin_load
,
akantu
::
_bft_traction
);
std
::
cout
<<
"Force Definition"
<<
std
::
endl
;
/* -------------------------------------------------------------------------- */
// 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
(
nb_nodes_1
,
1
)
=
true
;
boundary
(
nb_nodes
-
1
,
1
)
=
true
;
std
::
cout
<<
"BC Definition"
<<
std
::
endl
;
/* -------------------------------------------------------------------------- */
// Solve
Real
error
;
model
.
assembleStiffnessMatrix
();
std
::
cout
<<
"Assemble Done"
<<
std
::
endl
;
model
.
getStiffnessMatrix
().
saveMatrix
(
"Kbx.mtx"
);
UInt
count
=
0
;
std
::
cout
<<
"Matrix saved"
<<
std
::
endl
;
do
{
if
(
count
!=
0
)
std
::
cerr
<<
count
<<
" - "
<<
error
<<
std
::
endl
;
model
.
updateResidual
();
model
.
solve
();
count
++
;
}
while
(
!
model
.
testConvergenceIncrement
(
1e-10
,
error
)
&&
count
<
10
);
std
::
cerr
<<
count
<<
" - "
<<
error
<<
std
::
endl
;
/* -------------------------------------------------------------------------- */
// Post-Processing
model
.
computeStresses
();
model
.
getStiffnessMatrix
().
saveMatrix
(
"Kax.mtx"
);
std
::
cout
<<
" d1 = "
<<
displacement
(
nb_nodes_1
,
5
)
<<
std
::
endl
;
std
::
cout
<<
" d2 = "
<<
displacement
(
nb_nodes
-
1
,
5
)
<<
std
::
endl
;
std
::
cout
<<
" M1 = "
<<
N_M
(
0
,
1
)
<<
std
::
endl
;
std
::
cout
<<
" M2 = "
<<
N_M
(
2
*
(
nb_nodes
-
2
),
1
)
<<
std
::
endl
;
}
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