/[escript]/trunk/doc/examples/usersguide/slip.py
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Contents of /trunk/doc/examples/usersguide/slip.py

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Revision 2667 - (show annotations)
Thu Sep 17 01:49:11 2009 UTC (10 years, 2 months ago) by jfenwick
File MIME type: text/x-python
File size: 2275 byte(s)
Renamed the main cookbook tex file to match our convention.
Replaced doc/cookbook/figures/heatrefraction002contqu.pdf with
a version which is actually pdf. However it needs to be regnerated since
it it sideways.

The examples have had their copyright notices fixed (dates were too early).
sb2.py has been removed since it uses pyvisi.

scons will now build the cookbook as parts of a docs build.
Also in reposnse to :
scons cookbook_pdf


1
2 ########################################################
3 #
4 # Copyright (c) 2009 by University of Queensland
5 # Earth Systems Science Computational Center (ESSCC)
6 # http://www.uq.edu.au/esscc
7 #
8 # Primary Business: Queensland, Australia
9 # Licensed under the Open Software License version 3.0
10 # http://www.opensource.org/licenses/osl-3.0.php
11 #
12 ########################################################
13
14 __copyright__="""Copyright (c) 2009 by University of Queensland
15 Earth Systems Science Computational Center (ESSCC)
16 http://www.uq.edu.au/esscc
17 Primary Business: Queensland, Australia"""
18 __license__="""Licensed under the Open Software License version 3.0
19 http://www.opensource.org/licenses/osl-3.0.php"""
20 __url__="https://launchpad.net/escript-finley"
21
22
23 from esys.escript import *
24 from esys.escript.linearPDEs import LinearPDE
25 from esys.escript.models import FaultSystem
26 from esys.finley import Rectangle
27 from esys.escript.unitsSI import DEG
28 #... set some parameters ...
29 lam=1.
30 mu=1
31 slip_max=1.
32
33 mydomain = Rectangle(l0=1.,l1=1.,n0=16, n1=16) # n1 need to be multiple of 4!!!
34 # .. create the fault system
35 fs=FaultSystem(dim=2)
36 fs.addFault(V0=[0.5,0.25], strikes=90*DEG, ls=0.5, tag=1)
37 # ... create a slip distribution on the fault:
38 p, m=fs.getParametrization(mydomain.getX(),tag=1)
39 p0,p1= fs.getW0Range(tag=1)
40 s=m*(p-p0)*(p1-p)/((p1-p0)/2)**2*slip_max*[0.,1.]
41 # ... calculate stress according to slip:
42 D=symmetric(grad(s))
43 chi, d=fs.getSideAndDistance(D.getFunctionSpace().getX(),tag=1)
44 sigma_s=(mu*D+lam*trace(D)*kronecker(mydomain))*chi
45 #... open symmetric PDE ...
46 mypde=LinearPDE(mydomain)
47 mypde.setSymmetryOn()
48 #... set coefficients ...
49 C=Tensor4(0.,Function(mydomain))
50 for i in range(mydomain.getDim()):
51 for j in range(mydomain.getDim()):
52 C[i,i,j,j]+=lam
53 C[j,i,j,i]+=mu
54 C[j,i,i,j]+=mu
55 # ... fix displacement in normal direction
56 x=mydomain.getX()
57 msk=whereZero(x[0])*[1.,0.] + whereZero(x[0]-1.)*[1.,0.] \
58 +whereZero(x[1])*[0.,1.] + whereZero(x[1]-1.)*[0.,1.]
59 mypde.setValue(A=C,X=-0.5*sigma_s,q=msk)
60 #... solve pde ...
61 mypde.getSolverOptions().setVerbosityOn()
62 v=mypde.getSolution()
63 # .. write the displacement to file:
64 D=symmetric(grad(v))
65 sigma=(mu*D+lam*trace(D)*kronecker(mydomain))+0.5*sigma_s
66 saveVTK("slip.vtu",disp=v+0.5*chi*s, stress= sigma)

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