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conftest.py
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rTAMAAS tamaas
conftest.py
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# -*- coding: utf-8 -*-
# @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/>.
from
__future__
import
division
,
print_function
import
numpy
as
np
import
tamaas
as
tm
import
pytest
from
numpy.linalg
import
norm
def
profile
(
func
,
size
,
mode
,
amplitude
):
x
=
np
.
linspace
(
0
,
1
,
size
[
0
],
endpoint
=
False
,
dtype
=
tm
.
dtype
)
y
=
np
.
linspace
(
0
,
1
,
size
[
1
],
endpoint
=
False
,
dtype
=
tm
.
dtype
)
x
,
y
=
np
.
meshgrid
(
x
,
y
,
indexing
=
'ij'
)
surface
=
amplitude
*
func
(
2
*
np
.
pi
*
x
*
mode
[
0
])
*
func
(
2
*
np
.
pi
*
y
*
mode
[
1
])
return
surface
.
copy
()
@pytest.fixture
(
scope
=
"session"
)
def
tamaas_fixture
():
tm
.
initialize
()
yield
None
tm
.
finalize
()
class
HertzFixture
:
def
__init__
(
self
,
n
,
load
):
self
.
domain_size
=
1
self
.
n
=
n
self
.
load
=
load
self
.
curvature
=
0.1
self
.
radius
=
1.
/
self
.
curvature
self
.
e_star
=
1.
self
.
a
=
(
3
*
load
/
(
4
*
self
.
curvature
*
self
.
e_star
))
**
(
1.
/
3.
)
self
.
x
=
np
.
linspace
(
-
self
.
domain_size
/
2.
,
self
.
domain_size
/
2.
,
self
.
n
,
dtype
=
tm
.
dtype
)
self
.
y
=
self
.
x
.
copy
()
self
.
x
,
self
.
y
=
np
.
meshgrid
(
self
.
x
,
self
.
y
)
self
.
_computeSurface
()
self
.
_computePressure
()
self
.
_computeDisplacement
()
def
_computeDisplacement
(
self
):
r
=
np
.
sqrt
(
self
.
x
**
2
+
self
.
y
**
2
)
self
.
displacement
=
np
.
zeros_like
(
r
)
contact
=
r
<
self
.
a
self
.
displacement
[
contact
]
=
self
.
surface
[
contact
]
self
.
displacement
[
~
contact
]
=
\
(
self
.
surface
[
~
contact
]
+
self
.
a
/
(
np
.
pi
*
self
.
radius
)
*
np
.
sqrt
(
r
[
~
contact
]
**
2
-
self
.
a
**
2
)
+
(
r
[
~
contact
]
**
2
-
2
*
self
.
a
**
2
)
/
(
np
.
pi
*
self
.
radius
)
*
np
.
arccos
(
self
.
a
/
r
[
~
contact
]))
def
_computePressure
(
self
):
r
=
np
.
sqrt
(
self
.
x
**
2
+
self
.
y
**
2
)
self
.
pressure
=
np
.
zeros_like
(
r
)
contact
=
np
.
where
(
r
<
self
.
a
)
self
.
pressure
[
contact
]
=
\
2
*
self
.
e_star
/
(
np
.
pi
*
self
.
radius
)
\
*
np
.
sqrt
(
self
.
a
**
2
-
r
[
contact
]
**
2
)
def
_computeSurface
(
self
):
self
.
surface
=
-
1.
/
(
2
*
self
.
radius
)
*
(
self
.
x
**
2
+
self
.
y
**
2
)
@pytest.fixture
(
scope
=
"module"
)
def
hertz
(
tamaas_fixture
):
return
HertzFixture
(
1024
,
0.00001
)
@pytest.fixture
(
scope
=
"module"
)
def
hertz_coarse
(
tamaas_fixture
):
return
HertzFixture
(
512
,
0.0001
)
class
WestergaardFixture
:
def
__init__
(
self
,
n
,
load
):
self
.
domain_size
=
1.
self
.
lamda
=
1.
self
.
delta
=
0.1
self
.
e_star
=
1.
self
.
n
=
n
self
.
p_star
=
np
.
pi
*
self
.
e_star
*
self
.
delta
/
self
.
lamda
self
.
load
=
load
*
self
.
p_star
self
.
a
=
self
.
lamda
/
np
.
pi
\
*
np
.
arcsin
(
np
.
sqrt
(
self
.
load
/
self
.
p_star
))
self
.
x
=
np
.
linspace
(
-
self
.
domain_size
/
2.
,
self
.
domain_size
/
2.
,
self
.
n
,
endpoint
=
False
,
dtype
=
tm
.
dtype
)
self
.
_computeSurface
()
self
.
_computePressure
()
self
.
_computeDisplacement
()
def
_computeSurface
(
self
):
self
.
surface
=
self
.
delta
*
np
.
cos
(
2
*
np
.
pi
*
self
.
x
/
self
.
lamda
)
def
_computePressure
(
self
):
self
.
pressure
=
np
.
zeros_like
(
self
.
surface
)
contact
=
np
.
where
(
np
.
abs
(
self
.
x
)
<
self
.
a
)
self
.
pressure
[
contact
]
=
2
*
self
.
load
\
*
(
np
.
cos
(
np
.
pi
*
self
.
x
[
contact
]
/
self
.
lamda
)
/
np
.
sin
(
np
.
pi
*
self
.
a
/
self
.
lamda
)
**
2
)
\
*
np
.
sqrt
(
np
.
sin
(
np
.
pi
*
self
.
a
/
self
.
lamda
)
**
2
-
np
.
sin
(
np
.
pi
*
self
.
x
[
contact
]
/
self
.
lamda
)
**
2
)
def
_computeDisplacement
(
self
):
psi
=
np
.
pi
*
np
.
abs
(
self
.
x
)
/
self
.
lamda
psi_a
=
np
.
pi
*
self
.
a
/
self
.
lamda
with
np
.
errstate
(
invalid
=
'ignore'
):
# get some warnings out of the way
self
.
displacement
=
(
np
.
cos
(
2
*
psi
)
+
2
*
np
.
sin
(
psi
)
*
np
.
sqrt
(
np
.
sin
(
psi
)
**
2
-
np
.
sin
(
psi_a
)
**
2
)
-
2
*
np
.
sin
(
psi_a
)
**
2
*
np
.
log
((
np
.
sin
(
psi
)
+
np
.
sqrt
(
np
.
sin
(
psi
)
**
2
-
np
.
sin
(
psi_a
)
**
2
))
/
np
.
sin
(
psi_a
)))
contact
=
np
.
where
(
np
.
abs
(
self
.
x
)
<
self
.
a
)
self
.
displacement
[
contact
]
=
np
.
cos
(
2
*
psi
[
contact
])
self
.
displacement
*=
self
.
load
*
self
.
lamda
/
(
np
.
pi
*
self
.
e_star
*
np
.
sin
(
psi_a
)
**
2
)
@pytest.fixture
(
scope
=
"module"
)
def
westergaard
(
tamaas_fixture
):
return
WestergaardFixture
(
19683
,
0.1
)
class
PatchWestergaard
:
def
__init__
(
self
,
model_type
,
domain
,
modes
,
size
):
self
.
E
=
3.
self
.
nu
=
0.
self
.
e_star
=
self
.
E
/
(
1
-
self
.
nu
**
2
)
self
.
n
=
size
self
.
domain
=
domain
self
.
model
=
tm
.
ModelFactory
.
createModel
(
model_type
,
domain
,
size
)
self
.
model
.
setElasticity
(
self
.
E
,
self
.
nu
)
self
.
pressure
=
profile
(
np
.
cos
,
size
,
modes
,
1
)
self
.
solution
=
profile
(
np
.
cos
,
size
,
modes
,
1
/
(
np
.
pi
*
self
.
e_star
*
norm
(
modes
)))
@pytest.fixture
(
scope
=
"module"
,
params
=
[
tm
.
model_type
.
basic_2d
])
def
patch_westergaard
(
tamaas_fixture
,
request
):
return
PatchWestergaard
(
request
.
param
,
[
1.
,
1.
],
[
3
,
1
],
[
6
,
6
])
class
UniformPlasticity
:
def
__init__
(
self
,
model_type
,
domain
,
sizes
):
self
.
n
=
sizes
self
.
domain
=
domain
self
.
model
=
tm
.
ModelFactory
.
createModel
(
model_type
,
domain
,
sizes
)
self
.
E_h
=
0.1
self
.
sigma_y
=
0.01
self
.
residual
=
tm
.
ModelFactory
.
createResidual
(
self
.
model
,
sigma_y
=
self
.
sigma_y
,
hardening
=
self
.
E_h
)
self
.
model
.
E
=
1.
self
.
model
.
nu
=
0.
def
solution
(
self
,
p
):
E
,
nu
=
self
.
model
.
E
,
self
.
model
.
nu
E_h
,
sigma_y
=
self
.
E_h
,
self
.
sigma_y
mu
=
E
/
(
2
*
(
1
+
nu
))
strain
=
-
1
/
(
mu
+
E_h
)
*
(
p
*
(
3
*
mu
+
E_h
)
/
(
2
*
mu
)
-
np
.
sign
(
p
)
*
sigma_y
)
dep
=
(
2
*
mu
*
np
.
abs
(
strain
)
-
sigma_y
)
/
(
3
*
mu
+
E_h
)
plastic_strain
=
np
.
sign
(
strain
)
/
2
*
dep
*
np
.
array
([
-
1
,
-
1
,
2
,
0
,
0
,
0
,
],
dtype
=
tm
.
dtype
)
stress
=
2
*
mu
*
(
np
.
array
([
0
,
0
,
strain
,
0
,
0
,
0
],
dtype
=
tm
.
dtype
)
-
plastic_strain
)
return
{
"stress"
:
stress
,
"plastic_strain"
:
plastic_strain
,
"cumulated_plastic_strain"
:
dep
}
@pytest.fixture
(
scope
=
"module"
,
params
=
[
tm
.
model_type
.
volume_2d
])
def
patch_isotropic_plasticity
(
tamaas_fixture
,
request
):
return
UniformPlasticity
(
request
.
param
,
[
1.
,
1.
,
1.
],
[
4
,
4
,
4
])
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