/[escript]/trunk/finley/test/python/linearElastic.py
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Contents of /trunk/finley/test/python/linearElastic.py

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Revision 1387 - (show annotations)
Fri Jan 11 07:45:26 2008 UTC (11 years, 9 months ago) by trankine
Original Path: temp/finley/test/python/linearElastic.py
File MIME type: text/x-python
File size: 2070 byte(s)
Restore the trunk that existed before the windows changes were committed to the (now moved to branches) old trunk.
1 #
2 # $Id$
3 #
4 #######################################################
5 #
6 # Copyright 2003-2007 by ACceSS MNRF
7 # Copyright 2007 by University of Queensland
8 #
9 # http://esscc.uq.edu.au
10 # Primary Business: Queensland, Australia
11 # Licensed under the Open Software License version 3.0
12 # http://www.opensource.org/licenses/osl-3.0.php
13 #
14 #######################################################
15 #
16
17 __copyright__=""" Copyright (c) 2006 by ACcESS MNRF
18 http://www.access.edu.au
19 Primary Business: Queensland, Australia"""
20 __license__="""Licensed under the Open Software License version 3.0
21 http://www.opensource.org/licenses/osl-3.0.php"""
22 from esys.escript import *
23 from esys.escript.linearPDEs import LinearPDE
24 import esys.finley as finley
25
26 press0=1.
27 lamb=1.
28 nu=0.3
29
30 # this sets the hook tensor:
31 def setHookTensor(w,l,n):
32 C=Tensor4(0.,w)
33 for i in range(w.getDim()):
34 for j in range(w.getDim()):
35 C[i,i,j,j]+=l
36 C[j,i,j,i]+=n
37 C[j,i,i,j]+=n
38
39 return C
40
41 # generate mesh: here 10x20 mesh of order 2
42 domain=finley.Rectangle(10,20,1,l0=0.5,l1=1.0)
43 # get handel to nodes and elements:
44 e=Function(domain)
45 fe=FunctionOnBoundary(domain)
46 n=ContinuousFunction(domain)
47 #
48 # set a mask msk of type vector which is one for nodes and components set be a constraint:
49 #
50 msk=whereZero(n.getX()[0])*[1.,1.]
51 #
52 # set the normal stress components on face elements.
53 # faces tagged with 21 get the normal stress [0,-press0].
54 #
55 # now the pressure is set to zero for x0 coordinates bigger then 0.1
56 press=whereNegative(fe.getX()[0]-0.1)*200000.*[1.,0.]
57 # assemble the linear system:
58 mypde=LinearPDE(domain)
59 mypde.setValue(A=setHookTensor(e,lamb,nu),y=press,q=msk,r=[0,0])
60 mypde.setSymmetryOn()
61 # solve for the displacements:
62 u_d=mypde.getSolution()
63 # get the gradient and calculate the stress:
64 g=grad(u_d)
65 stress=lamb*trace(g)*kronecker(domain)+nu*(g+transpose(g))
66 # write the hydrostatic pressure:
67 saveVTK("result.xml",displacement=u_d,pressure=trace(stress)/domain.getDim())

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