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test_explicit_friction.cc
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rAKA akantu
test_explicit_friction.cc
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/**
* @file test_explicit_friction.cc
*
* @author Mohit Pundir <mohit.pundir@epfl.ch>
*
* @date creation: Sun Jun 06 2021
* @date last modification: Sun Jun 06 2021
*
* @brief Test contact mechanics with friction
*
*
* @section LICENSE
*
* Copyright (©) 2018-2021 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 "contact_mechanics_model.hh"
#include "coupler_solid_contact.hh"
#include "non_linear_solver.hh"
#include "solid_mechanics_model.hh"
#include "surface_selector.hh"
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
/* -------------------------------------------------------------------------- */
template
<
typename
T
>
std
::
vector
<
T
>
arrange
(
T
start
,
T
stop
,
T
step
=
1
)
{
std
::
vector
<
T
>
values
;
for
(
T
value
=
start
;
value
<=
stop
;
value
+=
step
)
values
.
push_back
(
value
);
return
values
;
}
int
main
(
int
argc
,
char
*
argv
[])
{
UInt
max_normal_steps
=
2500
;
UInt
max_shear_steps
=
7500
;
Real
max_shear_displacement
=
1e-1
;
Real
max_normal_displacement
=
2e-2
;
Real
damping_ratio
=
0.99
;
std
::
string
mesh_file
=
"sliding-block-2D.msh"
;
std
::
string
material_file
=
"material-friction.dat"
;
const
UInt
spatial_dimension
=
2
;
initialize
(
material_file
,
argc
,
argv
);
Mesh
mesh
(
spatial_dimension
);
mesh
.
read
(
mesh_file
);
CouplerSolidContact
coupler
(
mesh
);
auto
&
solid
=
coupler
.
getSolidMechanicsModel
();
auto
&
contact
=
coupler
.
getContactMechanicsModel
();
auto
&&
material_selector
=
std
::
make_shared
<
MeshDataMaterialSelector
<
std
::
string
>>
(
"physical_names"
,
solid
);
solid
.
setMaterialSelector
(
material_selector
);
coupler
.
initFull
(
_analysis_method
=
_explicit_lumped_mass
);
auto
&&
surface_selector
=
std
::
make_shared
<
PhysicalSurfaceSelector
>
(
mesh
);
contact
.
getContactDetector
().
setSurfaceSelector
(
surface_selector
);
solid
.
applyBC
(
BC
::
Dirichlet
::
FixedValue
(
0.0
,
_x
),
"lower"
);
solid
.
applyBC
(
BC
::
Dirichlet
::
FixedValue
(
0.0
,
_y
),
"lower"
);
Real
time_step
=
solid
.
getStableTimeStep
();
time_step
*=
0.05
;
coupler
.
setTimeStep
(
time_step
);
std
::
cout
<<
"Stable time increment : "
<<
time_step
<<
" sec "
<<
std
::
endl
;
coupler
.
setBaseName
(
"explicit-friction"
);
coupler
.
addDumpFieldVector
(
"displacement"
);
coupler
.
addDumpFieldVector
(
"normals"
);
coupler
.
addDumpFieldVector
(
"contact_force"
);
coupler
.
addDumpFieldVector
(
"tangential_force"
);
coupler
.
addDumpFieldVector
(
"external_force"
);
coupler
.
addDumpFieldVector
(
"internal_force"
);
coupler
.
addDumpField
(
"gaps"
);
coupler
.
addDumpField
(
"areas"
);
coupler
.
addDumpField
(
"blocked_dofs"
);
coupler
.
addDumpField
(
"strain"
);
coupler
.
addDumpField
(
"stress"
);
coupler
.
addDumpField
(
"contact_state"
);
auto
&
velocity
=
solid
.
getVelocity
();
auto
&
gaps
=
contact
.
getGaps
();
auto
xi
=
arrange
<
Real
>
(
0
,
1
,
1.
/
max_shear_steps
);
std
::
vector
<
Real
>
shear_displacements
;
std
::
transform
(
xi
.
begin
(),
xi
.
end
(),
std
::
back_inserter
(
shear_displacements
),
[
&
](
Real
&
p
)
->
Real
{
return
0.
+
(
max_shear_displacement
)
*
pow
(
p
,
3
)
*
(
10
-
15
*
p
+
6
*
pow
(
p
,
2
));
});
auto
normal_xi
=
arrange
<
Real
>
(
0
,
1
,
1.
/
max_normal_steps
);
std
::
vector
<
Real
>
normal_displacements
;
std
::
transform
(
normal_xi
.
begin
(),
normal_xi
.
end
(),
std
::
back_inserter
(
normal_displacements
),
[
&
](
Real
&
p
)
->
Real
{
return
0.
+
(
max_normal_displacement
)
*
pow
(
p
,
3
)
*
(
10
-
15
*
p
+
6
*
pow
(
p
,
2
));
});
auto
max_steps
=
max_normal_steps
+
max_shear_steps
;
auto
&
contact_nodes
=
surface_selector
->
getSlaveList
();
auto
&
tangential_traction
=
contact
.
getTangentialTractions
();
for
(
UInt
s
:
arange
(
max_steps
))
{
if
(
s
<
max_normal_steps
)
{
solid
.
applyBC
(
BC
::
Dirichlet
::
FixedValue
(
-
normal_displacements
[
s
],
_y
),
"loading"
);
}
else
{
solid
.
applyBC
(
BC
::
Dirichlet
::
FixedValue
(
shear_displacements
[
s
-
max_normal_steps
],
_x
),
"loading"
);
}
coupler
.
solveStep
();
for
(
auto
&&
tuple
:
zip
(
gaps
,
make_view
(
velocity
,
spatial_dimension
)))
{
auto
&
gap
=
std
::
get
<
0
>
(
tuple
);
auto
&
vel
=
std
::
get
<
1
>
(
tuple
);
if
(
gap
>
0
)
{
vel
*=
damping_ratio
;
}
}
if
(
s
%
100
==
0
)
{
coupler
.
dump
();
}
auto
sum
=
std
::
accumulate
(
tangential_traction
.
begin
(),
tangential_traction
.
end
(),
0.0
);
auto
num_tang_traction
=
std
::
abs
(
sum
)
/
contact_nodes
.
size
();
Real
exp_tang_traction
=
0.3
*
1.4e6
;
Real
error
=
std
::
abs
(
num_tang_traction
-
exp_tang_traction
)
/
exp_tang_traction
;
if
(
error
>
1e-3
and
num_tang_traction
>
exp_tang_traction
)
{
std
::
cerr
<<
error
<<
"----"
<<
num_tang_traction
<<
std
::
endl
;
return
EXIT_FAILURE
;
}
}
coupler
.
dump
();
finalize
();
return
EXIT_SUCCESS
;
}
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