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gross |
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# $Id$ |
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""" |
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calculation of the stress distribution around a fault from the slip on the fault |
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@var __author__: name of author |
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@var __copyright__: copyrights |
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@var __license__: licence agreement |
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@var __url__: url entry point on documentation |
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@var __version__: version |
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@var __date__: date of the version |
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""" |
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__author__="Lutz Gross, l.gross@uq.edu.au" |
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__copyright__=""" Copyright (c) 2006 by ACcESS MNRF |
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http://www.access.edu.au |
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Primary Business: Queensland, Australia""" |
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__license__="""Licensed under the Open Software License version 3.0 |
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http://www.opensource.org/licenses/osl-3.0.php""" |
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__url__="http://www.iservo.edu.au/esys" |
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__version__="$Revision$" |
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__date__="$Date$" |
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from esys.escript import * |
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from esys.escript.pdetools import SaddlePointProblem |
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from esys.escript.linearPDEs import LinearPDE |
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from esys.finley import Rectangle |
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rho=1. |
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lam_lmbd=1. |
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lam_mu=1. |
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g=9.81 |
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class SlippingFault(SaddlePointProblem): |
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""" |
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simple example of saddle point problem |
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""" |
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def __init__(self,domain): |
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super(SlippingFault, self).__init__(self) |
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self.domain=domain |
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self.__pde_u=LinearPDE(domain,numEquations=self.domain.getDim(),numSolutions=self.domain.getDim()) |
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self.__pde_u.setSymmetryOn() |
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def initialize(self,density=1.,lmbd=1., mu=1., traction=Data(),fixed_u_mask=Data(), slip=0.): |
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d=self.domain.getDim() |
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self.slip=slip |
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A =self.__pde_u.createCoefficientOfGeneralPDE("A") |
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for i in range(self.domain.getDim()): |
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for j in range(self.domain.getDim()): |
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A[i,j,j,i] += mu |
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A[i,j,i,j] += mu |
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A[i,i,j,j] += lmbd |
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self.__pde_u.setValue(A=A,q=fixed_u_mask,Y=-kronecker(Function(self.domain))[d-1]*g*density,y=traction) |
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def inner(self,p0,p1): |
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return integrate(p0*p1,FunctionOnContactZero(self.__pde_p.getDomain())) |
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def solve_f(self,u,p,tol=1.e-8): |
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self.__pde_u.setTolerance(tol) |
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self.__pde_u.setValue(y_contact=p) |
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return self.__pde_u.getSolution() |
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def solve_g(self,u,tol=1.e-8): |
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dp=self.slip-jump(u) |
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return dp |
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s=numarray.array([0.,1.,1.]) |
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NE=3 |
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dom=Rectangle(NE,NE,order=2) |
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prop=SlippingFault(dom) |
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d=dom.getDim() |
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x=dom.getX()[d-1] |
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mask=whereZero(x-inf(x))*numarray.ones((d,)) |
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u0=Vector(0.,Solution(dom)) |
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p0=Vector(0.,FunctionOnContactZero(dom)) |
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prop.initialize(fixed_u_mask=mask,slip=s, density=rho,lmbd=lam_lmbd, mu=lam_mu) |
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u,p=prop.solve(u0,p0,relaxation=1.,iter_max=50,tolerance=0.01) |
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saveVTK("dis.xml",u=u) |
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saveVTK("fault.xml",sigma=p,s=jump(u)) |
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