test/python/linearElastic.py

""" $Id$ """
__copyright__="""  Copyright (c) 2006 by ACcESS MNRF
                    http://www.access.edu.au
                Primary Business: Queensland, Australia"""
__license__="""Licensed under the Open Software License version 3.0
             http://www.opensource.org/licenses/osl-3.0.php"""
from esys.escript import *
from esys.escript.linearPDEs import LinearPDE
import esys.finley as finley

press0=1.
lamb=1.
nu=0.3

# this sets the hook tensor:
def setHookTensor(w,l,n):
   C=Tensor4(0.,w)
   for i in range(w.getDim()):
     for j in range(w.getDim()):
          C[i,i,j,j]+=l
          C[j,i,j,i]+=n
          C[j,i,i,j]+=n

   return C
  
# generate mesh: here 10x20 mesh of order 2
domain=finley.Rectangle(10,20,1,l0=0.5,l1=1.0)
# get handel to nodes and elements:
e=Function(domain)
fe=FunctionOnBoundary(domain)
n=ContinuousFunction(domain)
#
# set a mask msk of type vector which is one for nodes and components set be a constraint:
#
msk=whereZero(n.getX()[0])*[1.,1.]
#
#  set the normal stress components on face elements.
#  faces tagged with 21 get the normal stress [0,-press0].
#
# now the pressure is set to zero for x0 coordinates bigger then 0.1
press=whereNegative(fe.getX()[0]-0.1)*200000.*[1.,0.]
# assemble the linear system:
mypde=LinearPDE(domain)
mypde.setValue(A=setHookTensor(e,lamb,nu),y=press,q=msk,r=[0,0])
mypde.setSymmetryOn()
# solve for the displacements:
u_d=mypde.getSolution()
# get the gradient and calculate the stress:
g=grad(u_d)
stress=lamb*trace(g)*kronecker(domain)+nu*(g+transpose(g))
# write the hydrostatic pressure:
saveVTK("result.xml",displacement=u_d,pressure=trace(stress)/domain.getDim())
1	""" $Id$ """
2	__copyright__=""" Copyright (c) 2006 by ACcESS MNRF
3	http://www.access.edu.au
4	Primary Business: Queensland, Australia"""
5	__license__="""Licensed under the Open Software License version 3.0
6	http://www.opensource.org/licenses/osl-3.0.php"""
7	from esys.escript import *
8	from esys.escript.linearPDEs import LinearPDE
9	import esys.finley as finley
10
11	press0=1.
12	lamb=1.
13	nu=0.3
14
15	# this sets the hook tensor:
16	def setHookTensor(w,l,n):
17	C=Tensor4(0.,w)
18	for i in range(w.getDim()):
19	for j in range(w.getDim()):
20	C[i,i,j,j]+=l
21	C[j,i,j,i]+=n
22	C[j,i,i,j]+=n
23
24	return C
25
26	# generate mesh: here 10x20 mesh of order 2
27	domain=finley.Rectangle(10,20,1,l0=0.5,l1=1.0)
28	# get handel to nodes and elements:
29	e=Function(domain)
30	fe=FunctionOnBoundary(domain)
31	n=ContinuousFunction(domain)
32	#
33	# set a mask msk of type vector which is one for nodes and components set be a constraint:
34	#
35	msk=whereZero(n.getX()[0])*[1.,1.]
36	#
37	# set the normal stress components on face elements.
38	# faces tagged with 21 get the normal stress [0,-press0].
39	#
40	# now the pressure is set to zero for x0 coordinates bigger then 0.1
41	press=whereNegative(fe.getX()[0]-0.1)200000.[1.,0.]
42	# assemble the linear system:
43	mypde=LinearPDE(domain)
44	mypde.setValue(A=setHookTensor(e,lamb,nu),y=press,q=msk,r=[0,0])
45	mypde.setSymmetryOn()
46	# solve for the displacements:
47	u_d=mypde.getSolution()
48	# get the gradient and calculate the stress:
49	g=grad(u_d)
50	stress=lambtrace(g)kronecker(domain)+nu*(g+transpose(g))
51	# write the hydrostatic pressure:
52	saveVTK("result.xml",displacement=u_d,pressure=trace(stress)/domain.getDim())