Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F86126713
python_comparison_test_material_linear_elastic1.py
No One
Temporary
Actions
Download File
Edit File
Delete File
View Transforms
Subscribe
Mute Notifications
Award Token
Subscribers
None
File Metadata
Details
File Info
Storage
Attached
Created
Fri, Oct 4, 10:51
Size
5 KB
Mime Type
text/x-python
Expires
Sun, Oct 6, 10:51 (2 d)
Engine
blob
Format
Raw Data
Handle
21355706
Attached To
rMUSPECTRE µSpectre
python_comparison_test_material_linear_elastic1.py
View Options
#!/usr/bin/env python3
# -*- coding:utf-8 -*-
"""
@file py_comparison_test_material_linear_elastic1.py
@author Till Junge <till.junge@epfl.ch>
@date 25 Jan 2019
@brief compares MaterialLinearElastic1 to the Geus's python implementation
Copyright © 2019 Till Junge
µSpectre is free software; you can redistribute it and/or
modify it under the terms of the GNU General Lesser Public License as
published by the Free Software Foundation, either version 3, or (at
your option) any later version.
µSpectre 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
General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with µSpectre; see the file COPYING. If not, write to the
Free Software Foundation, Inc., 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA.
Additional permission under GNU GPL version 3 section 7
If you modify this Program, or any covered work, by linking or combining it
with proprietary FFT implementations or numerical libraries, containing parts
covered by the terms of those libraries' licenses, the licensors of this
Program grant you additional permission to convey the resulting work.
"""
import
itertools
import
numpy
as
np
np
.
set_printoptions
(
linewidth
=
180
)
import
unittest
from
python_test_imports
import
µ
LinMat2
=
µ
.
material
.
MaterialLinearElastic1_2d
LinMat3
=
µ
.
material
.
MaterialLinearElastic1_3d
LinMats
=
{
2
:
LinMat2
,
3
:
LinMat3
}
#####################
dyad22
=
lambda
A2
,
B2
:
np
.
einsum
(
'ij ,kl ->ijkl'
,
A2
,
B2
)
dyad11
=
lambda
A1
,
B1
:
np
.
einsum
(
'i ,j ->ij '
,
A1
,
B1
)
dot22
=
lambda
A2
,
B2
:
np
.
einsum
(
'ij ,jk ->ik '
,
A2
,
B2
)
dot24
=
lambda
A2
,
B4
:
np
.
einsum
(
'ij ,jkmn->ikmn'
,
A2
,
B4
)
dot42
=
lambda
A4
,
B2
:
np
.
einsum
(
'ijkl,lm ->ijkm'
,
A4
,
B2
)
inv2
=
np
.
linalg
.
inv
trans2
=
np
.
transpose
ddot22
=
lambda
A2
,
B2
:
np
.
einsum
(
'ij ,ji -> '
,
A2
,
B2
)
ddot42
=
lambda
A4
,
B2
:
np
.
einsum
(
'ijkl,lk ->ij '
,
A4
,
B2
)
ddot44
=
lambda
A4
,
B4
:
np
.
einsum
(
'ijkl,lkmn->ijmn'
,
A4
,
B4
)
class
MatTest
(
unittest
.
TestCase
):
def
constitutive
(
self
,
F
,
dim
):
I
=
np
.
eye
(
dim
)
II
=
dyad22
(
I
,
I
)
I4
=
np
.
einsum
(
'il,jk'
,
I
,
I
)
I4rt
=
np
.
einsum
(
'ik,jl'
,
I
,
I
)
I4s
=
(
I4
+
I4rt
)
/
2.
C4
=
self
.
K
*
II
+
2.
*
self
.
mu
*
(
I4s
-
1.
/
3.
*
II
)
S
=
ddot42
(
C4
,
.
5
*
(
dot22
(
trans2
(
F
),
F
)
-
I
))
P
=
dot22
(
F
,
S
)
K4
=
dot24
(
S
,
I4
)
+
ddot44
(
ddot44
(
I4rt
,
dot42
(
dot24
(
F
,
C4
),
trans2
(
F
))),
I4rt
)
return
P
,
S
,
K4
,
C4
def
setUp
(
self
):
pass
def
prep
(
self
,
dimension
):
self
.
dim
=
dimension
self
.
Young
=
200e9
+
100
*
np
.
random
.
rand
()
self
.
Poisson
=
.
3
+
.
1
*
(
np
.
random
.
rand
()
-.
5
)
self
.
K
=
self
.
Young
/
(
3
*
(
1
-
2
*
self
.
Poisson
))
self
.
mu
=
self
.
Young
/
(
2
*
(
1
+
self
.
Poisson
))
self
.
F
=
(
np
.
eye
(
self
.
dim
)
+
(
np
.
random
.
random
((
self
.
dim
,
self
.
dim
))
-.
5
)
/
10
)
self
.
E
=
.
5
*
(
self
.
F
.
T
.
dot
(
self
.
F
)
-
np
.
eye
(
self
.
dim
))
self
.
tol
=
1e-13
self
.
verbose
=
True
self
.
linmat
,
self
.
evaluator
=
LinMats
[
self
.
dim
]
.
make_evaluator
(
self
.
Young
,
self
.
Poisson
)
self
.
linmat
.
add_pixel
([
0
]
*
self
.
dim
)
def
test_equivalence_S_C
(
self
):
for
dim
in
(
2
,
3
):
self
.
runner_equivalence_S_C
(
dim
)
def
runner_equivalence_S_C
(
self
,
dimension
):
self
.
prep
(
dimension
)
S_
μ
,
C_
µ
_s
=
self
.
evaluator
.
evaluate_stress_tangent
(
self
.
E
,
µ
.
Formulation
.
small_strain
)
S_
μ
=
S_
μ
.
copy
()
S_
μ
2
=
self
.
evaluator
.
evaluate_stress
(
self
.
E
,
µ
.
Formulation
.
small_strain
)
shape
=
(
self
.
dim
,
self
.
dim
,
self
.
dim
,
self
.
dim
)
C_
µ
=
C_
µ
_s
.
reshape
(
shape
)
.
transpose
((
0
,
1
,
3
,
2
))
response_p
=
self
.
constitutive
(
self
.
F
,
self
.
dim
)
S_p
,
C_p
=
response_p
[
1
],
response_p
[
3
]
S_error
=
np
.
linalg
.
norm
(
S_
µ
-
S_p
)
/
np
.
linalg
.
norm
(
S_
µ
)
if
not
S_error
<
self
.
tol
:
print
(
"Error(S) = {}"
.
format
(
S_error
))
print
(
"S_µ:
\n
{}"
.
format
(
S_
µ
))
print
(
"S_µ2:
\n
{}"
.
format
(
S_
µ
2
))
print
(
"S_p:
\n
{}"
.
format
(
S_p
))
C_error
=
np
.
linalg
.
norm
(
C_
µ
-
C_p
)
/
np
.
linalg
.
norm
(
C_
µ
)
if
not
C_error
<
self
.
tol
:
print
(
"Error(C) = {}"
.
format
(
C_error
))
flat_shape
=
(
self
.
dim
**
2
,
self
.
dim
**
2
)
print
(
"C_µ:
\n
{}"
.
format
(
C_
µ
.
reshape
(
flat_shape
)))
print
(
"C_p:
\n
{}"
.
format
(
C_p
.
reshape
(
flat_shape
)))
self
.
assertLess
(
S_error
,
self
.
tol
)
self
.
assertLess
(
C_error
,
self
.
tol
)
def
test_equivalence_P_K
(
self
):
for
dim
in
(
2
,
3
):
self
.
runner_equivalence_P_K
(
dim
)
def
runner_equivalence_P_K
(
self
,
dimension
):
self
.
prep
(
dimension
)
P_
µ
,
K_
µ
_s
=
self
.
evaluator
.
evaluate_stress_tangent
(
self
.
F
,
µ
.
Formulation
.
finite_strain
)
shape
=
(
self
.
dim
,
self
.
dim
,
self
.
dim
,
self
.
dim
)
K_
µ
=
K_
µ
_s
.
reshape
(
shape
)
.
transpose
((
0
,
1
,
3
,
2
))
response_p
=
self
.
constitutive
(
self
.
F
,
self
.
dim
)
P_p
,
K_p
=
response_p
[
0
],
response_p
[
2
]
P_error
=
np
.
linalg
.
norm
(
P_
µ
-
P_p
)
/
np
.
linalg
.
norm
(
P_
µ
)
if
not
P_error
<
self
.
tol
:
print
(
"Error(P) = {}"
.
format
(
P_error
))
print
(
"P_µ:
\n
{}"
.
format
(
P_
µ
))
print
(
"P_p:
\n
{}"
.
format
(
P_p
))
K_error
=
np
.
linalg
.
norm
(
K_
µ
-
K_p
)
/
np
.
linalg
.
norm
(
K_
µ
)
if
not
K_error
<
self
.
tol
:
print
(
"Error(K) = {}"
.
format
(
K_error
))
flat_shape
=
(
self
.
dim
**
2
,
self
.
dim
**
2
)
print
(
"K_µ:
\n
{}"
.
format
(
K_
µ
.
reshape
(
flat_shape
)))
print
(
"K_p:
\n
{}"
.
format
(
K_p
.
reshape
(
flat_shape
)))
print
(
"diff:
\n
{}"
.
format
(
K_p
.
reshape
(
flat_shape
)
-
K_
µ
.
reshape
(
flat_shape
)))
self
.
assertLess
(
P_error
,
self
.
tol
)
self
.
assertLess
(
K_error
,
self
.
tol
)
if
__name__
==
"__main__"
:
unittest
.
main
()
Event Timeline
Log In to Comment