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plasticity.py
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Fri, Sep 27, 10:13
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text/x-python
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rTAMAAS tamaas
plasticity.py
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#!/usr/bin/env python3
# @file
# @section LICENSE
#
# Copyright (©) 2016-19 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
numpy
as
np
import
tamaas
as
tm
from
tamaas.dumpers
import
UVWDumper
as
Dumper
from
tamaas.nonlinear_solvers
import
DFSANESolver
as
Solver
tm
.
initialize
(
2
)
# Definition of modeled domain
model_type
=
tm
.
model_type
.
volume_2d
discretization
=
[
32
,
51
,
51
]
flat_domain
=
[
1
,
1
]
system_size
=
[
0.5
]
+
flat_domain
# Creation of model
model
=
tm
.
ModelFactory
.
createModel
(
model_type
,
system_size
,
discretization
)
model
.
E
=
1.
model
.
nu
=
0.3
# Setup for plasticity
residual
=
tm
.
ModelFactory
.
createResidual
(
model
,
sigma_y
=
0.1
*
model
.
E
,
hardening
=
0.01
*
model
.
E
)
epsolver
=
Solver
(
residual
,
model
)
# Setup for contact
x
=
np
.
linspace
(
0
,
system_size
[
1
],
discretization
[
1
],
endpoint
=
False
)
y
=
np
.
linspace
(
0
,
system_size
[
2
],
discretization
[
2
],
endpoint
=
False
)
xx
,
yy
=
np
.
meshgrid
(
x
,
y
,
indexing
=
'ij'
)
R
=
0.2
surface
=
-
((
xx
-
flat_domain
[
0
]
/
2
)
**
2
+
(
yy
-
flat_domain
[
1
]
/
2
)
**
2
)
/
(
2
*
R
)
csolver
=
tm
.
PolonskyKeerRey
(
model
,
surface
,
1e-12
,
tm
.
PolonskyKeerRey
.
pressure
,
tm
.
PolonskyKeerRey
.
pressure
)
# EPIC setup
epic
=
tm
.
EPICSolver
(
csolver
,
epsolver
,
1e-7
)
# Dumper
dumper_helper
=
Dumper
(
'hertz'
,
'displacement'
,
'stress'
,
'plastic_strain'
)
model
.
addDumper
(
dumper_helper
)
loads
=
np
.
linspace
(
0.001
,
0.005
,
3
)
for
i
,
load
in
enumerate
(
loads
):
epic
.
acceleratedSolve
(
load
)
model
.
dump
()
print
(
"---> Solved load step {}/{}"
.
format
(
i
+
1
,
len
(
loads
)))
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