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from __future__ import division
##############################################################################
#
# Copyright (c) 2009-2018 by The University of Queensland
# http://www.uq.edu.au
#
# Primary Business: Queensland, Australia
# Licensed under the Apache License, version 2.0
# http://www.apache.org/licenses/LICENSE-2.0
#
# Development until 2012 by Earth Systems Science Computational Center (ESSCC)
# Development 2012-2013 by School of Earth Sciences
# Development from 2014 by Centre for Geoscience Computing (GeoComp)
#
##############################################################################
__copyright__="""Copyright (c) 2009-2018 by The University of Queensland
http://www.uq.edu.au
Primary Business: Queensland, Australia"""
__license__="""Licensed under the Apache License, version 2.0
http://www.apache.org/licenses/LICENSE-2.0"""
__url__="https://launchpad.net/escript-finley"
from esys.escript import *
from esys.escript.linearPDEs import LinearPDE
from esys.escript.models import FaultSystem
try:
from esys.finley import Rectangle
HAVE_FINLEY = True
except ImportError:
HAVE_FINLEY = False
from esys.weipa import saveVTK
from esys.escript.unitsSI import DEG
if not HAVE_FINLEY:
print("Finley module not available")
else:
#... set some parameters ...
lam=1.
mu=1
slip_max=1.
mydomain = Rectangle(l0=1.,l1=1.,n0=16, n1=16) # n1 need to be multiple of 4!!!
# .. create the fault system
fs=FaultSystem(dim=2)
fs.addFault(V0=[0.5,0.25], strikes=90*DEG, ls=0.5, tag=1)
# ... create a slip distribution on the fault:
p, m=fs.getParametrization(mydomain.getX(),tag=1)
p0,p1= fs.getW0Range(tag=1)
s=m*(p-p0)*(p1-p)/((p1-p0)/2)**2*slip_max*[0.,1.]
# ... calculate stress according to slip:
D=symmetric(grad(s))
chi, d=fs.getSideAndDistance(D.getFunctionSpace().getX(),tag=1)
sigma_s=(mu*D+lam*trace(D)*kronecker(mydomain))*chi
#... open symmetric PDE ...
mypde=LinearPDE(mydomain)
mypde.setSymmetryOn()
#... set coefficients ...
C=Tensor4(0.,Function(mydomain))
for i in range(mydomain.getDim()):
for j in range(mydomain.getDim()):
C[i,i,j,j]+=lam
C[j,i,j,i]+=mu
C[j,i,i,j]+=mu
# ... fix displacement in normal direction
x=mydomain.getX()
msk=whereZero(x[0])*[1.,0.] + whereZero(x[0]-1.)*[1.,0.] \
+whereZero(x[1])*[0.,1.] + whereZero(x[1]-1.)*[0.,1.]
mypde.setValue(A=C,X=-0.5*sigma_s,q=msk)
#... solve pde ...
mypde.getSolverOptions().setVerbosityOn()
v=mypde.getSolution()
# .. write the displacement to file:
D=symmetric(grad(v))
sigma=(mu*D+lam*trace(D)*kronecker(mydomain))+0.5*sigma_s
saveVTK("slip.vtu",disp=v+0.5*chi*s, stress= sigma)
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