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saturated.py
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Fri, Apr 19, 07:10
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text/x-python
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rTAMAAS tamaas
saturated.py
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# -*- coding: utf-8 -*-
#
# Copyright (©) 2016-2024 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
numpy
as
np
import
matplotlib.pyplot
as
plt
from
tamaas.utils
import
publications
grid_size
=
256
load
=
1.6
p_sat
=
100
iso
=
tm
.
Isopowerlaw2D
()
iso
.
q0
=
4
iso
.
q1
=
4
iso
.
q2
=
16
iso
.
hurst
=
0.8
sg
=
tm
.
SurfaceGeneratorFilter2D
([
grid_size
,
grid_size
])
sg
.
random_seed
=
2
sg
.
spectrum
=
iso
surface
=
sg
.
buildSurface
()
surface
-=
np
.
max
(
surface
)
model
=
tm
.
ModelFactory
.
createModel
(
tm
.
model_type
.
basic_2d
,
[
1.
,
1.
],
[
grid_size
,
grid_size
])
model
.
E
=
1.
model
.
nu
=
0
esolver
=
tm
.
PolonskyKeerRey
(
model
,
surface
,
1e-12
,
tm
.
PolonskyKeerRey
.
pressure
,
tm
.
PolonskyKeerRey
.
pressure
)
esolver
.
solve
(
load
)
elastic_tractions
=
model
.
traction
.
copy
()
plt
.
imshow
(
elastic_tractions
)
plt
.
title
(
'Elastic contact tractions'
)
plt
.
colorbar
()
model
.
traction
[:]
=
0.
solver
=
tm
.
KatoSaturated
(
model
,
surface
,
1e-12
,
p_sat
)
solver
.
dump_freq
=
1
solver
.
max_iter
=
200
solver
.
solve
(
load
)
plt
.
figure
()
plt
.
imshow
(
model
.
traction
)
plt
.
title
(
'Saturated contact tractions'
)
plt
.
colorbar
()
plt
.
show
()
publications
()
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