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adhesion.py
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Fri, Sep 27, 02:19
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text/x-python
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Sun, Sep 29, 02:19 (1 d, 23 h)
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rTAMAAS tamaas
adhesion.py
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#!/usr/bin/env python3
#
# Copyright (©) 2016-2022 EPFL (École Polytechnique Fédérale de Lausanne),
# Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU Affero General Public License as published
# by the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program 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 Affero General Public License for more details.
#
# You should have received a copy of the GNU Affero General Public License
# along with this program. If not, see <https://www.gnu.org/licenses/>.
import
tamaas
as
tm
import
matplotlib.pyplot
as
plt
import
numpy
as
np
import
argparse
from
tamaas.utils
import
publications
from
matplotlib.colors
import
ListedColormap
class
AdhesionPython
(
tm
.
Functional
):
"""
Functional class that extends a C++ class and implements the virtual
methods
"""
def
__init__
(
self
,
rho
,
gamma
):
tm
.
Functional
.
__init__
(
self
)
self
.
rho
=
rho
self
.
gamma
=
gamma
def
computeF
(
self
,
gap
,
pressure
):
return
-
self
.
gamma
*
np
.
sum
(
np
.
exp
(
-
gap
/
self
.
rho
))
def
computeGradF
(
self
,
gap
,
gradient
):
gradient
+=
self
.
gamma
*
np
.
exp
(
-
gap
/
self
.
rho
)
/
self
.
rho
parser
=
argparse
.
ArgumentParser
()
parser
.
add_argument
(
'--local-functional'
,
dest
=
"py_adh"
,
action
=
"store_true"
,
help
=
"use the adhesion functional written in python"
)
args
=
parser
.
parse_args
()
# Surface size
n
=
1024
# Surface generator
sg
=
tm
.
SurfaceGeneratorFilter2D
([
n
,
n
])
sg
.
random_seed
=
1
# Spectrum
sg
.
spectrum
=
tm
.
Isopowerlaw2D
()
# Parameters
sg
.
spectrum
.
q0
=
16
sg
.
spectrum
.
q1
=
16
sg
.
spectrum
.
q2
=
64
sg
.
spectrum
.
hurst
=
0.8
# Generating surface
surface
=
sg
.
buildSurface
()
surface
/=
n
plt
.
imshow
(
surface
)
plt
.
title
(
'Rough surface'
)
# Creating model
model
=
tm
.
ModelFactory
.
createModel
(
tm
.
model_type
.
basic_2d
,
[
1.
,
1.
],
[
n
,
n
])
# Solver
solver
=
tm
.
PolonskyKeerRey
(
model
,
surface
,
1e-12
,
tm
.
PolonskyKeerRey
.
gap
,
tm
.
PolonskyKeerRey
.
gap
)
adhesion_params
=
{
"rho"
:
2e-3
,
"surface_energy"
:
2e-5
}
# Use the python derived from C++ functional class
if
args
.
py_adh
:
adhesion
=
AdhesionPython
(
adhesion_params
[
"rho"
],
adhesion_params
[
"surface_energy"
])
# Use the C++ class
else
:
adhesion
=
tm
.
ExponentialAdhesionFunctional
(
surface
)
adhesion
.
parameters
=
adhesion_params
solver
.
addFunctionalTerm
(
adhesion
)
# Solve for target pressure
g_target
=
5e-2
solver
.
solve
(
g_target
)
tractions
=
model
.
traction
plt
.
figure
()
plt
.
imshow
(
tractions
)
plt
.
colorbar
()
plt
.
title
(
'Contact tractions'
)
plt
.
figure
()
zones
=
np
.
zeros_like
(
tractions
)
tol
=
1e-6
zones
[
tractions
>
tol
]
=
1
zones
[
tractions
<
-
tol
]
=
-
1
plt
.
imshow
(
zones
,
cmap
=
ListedColormap
([
'white'
,
'gray'
,
'black'
]))
plt
.
colorbar
(
ticks
=
[
-
2
/
3
,
0
,
2
/
3
])
.
set_ticklabels
([
'Adhesion'
,
'No Contact'
,
'Contact'
])
plt
.
title
(
'Contact and Adhesion Zones'
)
plt
.
show
()
publications
()
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