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test_solid_mechanics_model_implicit_dynamic_2d.cc
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rAKA akantu
test_solid_mechanics_model_implicit_dynamic_2d.cc
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/**
* @file test_solid_mechanics_model_implicit_dynamic_2d.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Wed May 11 2011
* @date last modification: Thu Jun 05 2014
*
* @brief test of the dynamic implicit code
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014 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 "solid_mechanics_model.hh"
using
namespace
akantu
;
/* -------------------------------------------------------------------------- */
#define bar_length 10.
#define bar_height 1.
#define bar_depth 1.
const
ElementType
TYPE
=
_triangle_6
;
//const ElementType TYPE = _tetrahedron_10;
const
UInt
spatial_dimension
=
2
;
Real
time_step
=
1e-4
;
const
Real
F
=
0.5e4
;
const
Real
L
=
bar_length
;
const
Real
I
=
bar_depth
*
bar_height
*
bar_height
*
bar_height
/
12.
;
const
Real
E
=
12e7
;
const
Real
rho
=
1000
;
const
Real
m
=
rho
*
bar_height
*
bar_depth
;
static
Real
w
(
UInt
n
)
{
return
n
*
n
*
M_PI
*
M_PI
/
(
L
*
L
)
*
sqrt
(
E
*
I
/
m
);
}
static
Real
analytical_solution
(
Real
time
)
{
return
2
*
F
*
L
*
L
*
L
/
(
pow
(
M_PI
,
4
)
*
E
*
I
)
*
((
1.
-
cos
(
w
(
1
)
*
time
))
+
(
1.
-
cos
(
w
(
3
)
*
time
))
/
81.
+
(
1.
-
cos
(
w
(
5
)
*
time
))
/
625.
);
}
/* -------------------------------------------------------------------------- */
int
main
(
int
argc
,
char
*
argv
[])
{
debug
::
setDebugLevel
(
dblError
);
initialize
(
"material_implicit_dynamic.dat"
,
argc
,
argv
);
Mesh
mesh
(
spatial_dimension
);
StaticCommunicator
&
comm
=
StaticCommunicator
::
getStaticCommunicator
();
Int
psize
=
comm
.
getNbProc
();
Int
prank
=
comm
.
whoAmI
();
MeshPartition
*
partition
=
NULL
;
if
(
prank
==
0
)
{
mesh
.
read
(
"beam_2d_quad.msh"
);
partition
=
new
MeshPartitionScotch
(
mesh
,
spatial_dimension
);
partition
->
partitionate
(
psize
);
}
SolidMechanicsModel
model
(
mesh
);
model
.
initParallel
(
partition
);
/// model initialization
model
.
initFull
(
SolidMechanicsModelOptions
(
_implicit_dynamic
));
Material
&
mat
=
model
.
getMaterial
(
0
);
mat
.
setParam
(
"E"
,
E
);
mat
.
setParam
(
"rho"
,
rho
);
// boundary conditions
const
Array
<
Real
>
&
position
=
mesh
.
getNodes
();
Array
<
bool
>
&
boundary
=
model
.
getBlockedDOFs
();
Array
<
Real
>
&
force
=
model
.
getForce
();
Array
<
Real
>
&
displacment
=
model
.
getDisplacement
();
//initial conditions
UInt
node_to_print
=
UInt
(
-
1
);
bool
print_node
=
false
;
Array
<
UInt
>
node_to_displace
;
for
(
UInt
n
=
0
;
n
<
mesh
.
getNbNodes
();
++
n
)
{
Real
x
=
position
(
n
,
0
);
Real
y
=
position
(
n
,
1
);
Real
z
=
0
;
if
(
spatial_dimension
==
3
)
z
=
position
(
n
,
2
);
if
(
Math
::
are_float_equal
(
x
,
0.
)
&&
Math
::
are_float_equal
(
y
,
bar_height
/
2.
))
{
boundary
(
n
,
0
)
=
true
;
boundary
(
n
,
1
)
=
true
;
if
(
spatial_dimension
==
3
&&
Math
::
are_float_equal
(
z
,
bar_depth
/
2.
))
boundary
(
n
,
2
)
=
true
;
}
if
(
Math
::
are_float_equal
(
x
,
bar_length
)
&&
Math
::
are_float_equal
(
y
,
bar_height
/
2.
))
{
boundary
(
n
,
1
)
=
true
;
if
(
spatial_dimension
==
3
&&
Math
::
are_float_equal
(
z
,
bar_depth
/
2.
))
boundary
(
n
,
2
)
=
true
;
}
if
(
Math
::
are_float_equal
(
x
,
bar_length
/
2.
)
&&
Math
::
are_float_equal
(
y
,
bar_height
/
2.
))
{
if
(
spatial_dimension
<
3
||
(
spatial_dimension
==
3
&&
Math
::
are_float_equal
(
z
,
bar_depth
/
2.
)))
{
force
(
n
,
1
)
=
F
;
if
(
mesh
.
isLocalOrMasterNode
(
n
))
{
print_node
=
true
;
node_to_print
=
n
;
std
::
cout
<<
"I, proc "
<<
prank
+
1
<<
" handle the print of node "
<<
n
<<
"("
<<
x
<<
", "
<<
y
<<
", "
<<
z
<<
")"
<<
std
::
endl
;
}
}
}
}
model
.
setTimeStep
(
time_step
);
model
.
updateResidual
();
std
::
stringstream
out
;
out
<<
"position-"
<<
TYPE
<<
"_"
<<
std
::
scientific
<<
time_step
<<
".csv"
;
model
.
setBaseName
(
"implicit_dynamic"
);
model
.
addDumpField
(
"displacement"
);
model
.
addDumpField
(
"velocity"
);
model
.
addDumpField
(
"acceleration"
);
model
.
addDumpField
(
"force"
);
model
.
addDumpField
(
"residual"
);
model
.
addDumpField
(
"stress"
);
model
.
addDumpField
(
"strain"
);
std
::
ofstream
pos
;
if
(
print_node
)
{
pos
.
open
(
out
.
str
().
c_str
());
if
(
!
pos
.
good
())
{
std
::
cerr
<<
"Cannot open file "
<<
out
.
str
()
<<
std
::
endl
;
exit
(
EXIT_FAILURE
);
}
pos
<<
"id,time,position,solution"
<<
std
::
endl
;
}
Real
time
=
0
;
// UInt count = 0;
// Real error;
model
.
assembleStiffnessMatrix
();
//model.assembleMass();
/// time loop
for
(
UInt
s
=
1
;
time
<
0.0062
;
++
s
)
{
model
.
solveStep
<
_scm_newton_raphson_tangent_modified
,
_scc_increment
>
(
1e-12
,
1000
);
// model.implicitPred();
// /// convergence loop
// do {
// if(count > 0 && prank == 0)
// std::cout << "passing step " << s << " " << s * time_step << "s - " << std::setw(4) << count << " : " << std::scientific << error << "\r" << std::flush;
// model.updateResidual();
// model.solveDynamic();
// model.implicitCorr();
// count++;
// } while(!model.testConvergenceIncrement(1e-12, error) && (count < 1000));
// count = 0;
if
(
prank
==
0
)
std
::
cout
<<
"passing step "
<<
s
<<
" "
<<
s
*
time_step
<<
"s
\r
"
<<
std
::
flush
;
if
(
print_node
)
pos
<<
s
<<
","
<<
s
*
time_step
<<
","
<<
displacment
(
node_to_print
,
1
)
<<
","
<<
analytical_solution
(
s
*
time_step
)
<<
std
::
endl
;
if
(
s
%
10
==
0
)
{
model
.
computeStresses
();
}
time
+=
time_step
;
}
if
(
print_node
)
pos
.
close
();
finalize
();
return
EXIT_SUCCESS
;
}
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