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

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Revision 5706 - (show annotations)
Mon Jun 29 03:41:36 2015 UTC (4 years, 2 months ago) by sshaw
File MIME type: text/x-python
File size: 2447 byte(s)
all python files now force use of python3 prints and division syntax to stop sneaky errors appearing in py3 environs
1
2 ##############################################################################
3 #
4 # Copyright (c) 2003-2015 by The University of Queensland
5 # http://www.uq.edu.au
6 #
7 # Primary Business: Queensland, Australia
8 # Licensed under the Open Software License version 3.0
9 # http://www.opensource.org/licenses/osl-3.0.php
10 #
11 # Development until 2012 by Earth Systems Science Computational Center (ESSCC)
12 # Development 2012-2013 by School of Earth Sciences
13 # Development from 2014 by Centre for Geoscience Computing (GeoComp)
14 #
15 ##############################################################################
16
17 from __future__ import print_function, division
18
19 __copyright__="""Copyright (c) 2003-2015 by The University of Queensland
20 http://www.uq.edu.au
21 Primary Business: Queensland, Australia"""
22 __license__="""Licensed under the Open Software License version 3.0
23 http://www.opensource.org/licenses/osl-3.0.php"""
24 __url__="https://launchpad.net/escript-finley"
25
26 from esys.escript import *
27 from esys.escript.linearPDEs import LinearPDE
28 import esys.dudley as dudley
29 from esys.weipa import saveVTK
30
31 press0=1.
32 lamb=1.
33 nu=0.3
34
35 # this sets the hook tensor:
36 def setHookTensor(w,l,n):
37 C=Tensor4(0.,w)
38 for i in range(w.getDim()):
39 for j in range(w.getDim()):
40 C[i,i,j,j]+=l
41 C[j,i,j,i]+=n
42 C[j,i,i,j]+=n
43
44 return C
45
46 # generate mesh: here 10x20 mesh of order 2
47 domain=dudley.Rectangle(10,20,1,l0=0.5,l1=1.0)
48 # get handel to nodes and elements:
49 e=Function(domain)
50 fe=FunctionOnBoundary(domain)
51 n=ContinuousFunction(domain)
52 #
53 # set a mask msk of type vector which is one for nodes and components set be a constraint:
54 #
55 msk=whereZero(n.getX()[0])*[1.,1.]
56 #
57 # set the normal stress components on face elements.
58 # faces tagged with 21 get the normal stress [0,-press0].
59 #
60 # now the pressure is set to zero for x0 coordinates bigger then 0.1
61 press=whereNegative(fe.getX()[0]-0.1)*200000.*[1.,0.]
62 # assemble the linear system:
63 mypde=LinearPDE(domain)
64 mypde.setValue(A=setHookTensor(e,lamb,nu),y=press,q=msk,r=[0,0])
65 mypde.setSymmetryOn()
66 mypde.getSolverOptions().setVerbosityOn()
67 mypde.getSolverOptions().setPreconditioner(mypde.getSolverOptions().AMG)
68 # solve for the displacements:
69 u_d=mypde.getSolution()
70 # get the gradient and calculate the stress:
71 g=grad(u_d)
72 stress=lamb*trace(g)*kronecker(domain)+nu*(g+transpose(g))
73 # write the hydrostatic pressure:
74 saveVTK("result.vtu",displacement=u_d,pressure=trace(stress)/domain.getDim())

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