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# $Id$ |
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from esys.escript import * |
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from esys.escript.linearPDEs import LinearPDE |
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from esys.finley import Brick |
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#... set some parameters ... |
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lam=1. |
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mu=0.1 |
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alpha=1.e-6 |
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xc=[0.3,0.3,1.] |
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beta=8. |
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T_ref=0. |
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T_0=1. |
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#... generate domain ... |
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mydomain = Brick(l0=1.,l1=1., l2=1.,n0=10, n1=10, n2=10) |
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x=mydomain.getX() |
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#... set temperature ... |
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T=T_0*exp(-beta*length(x-xc)) |
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#... open symmetric PDE ... |
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mypde=LinearPDE(mydomain) |
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mypde.setSymmetryOn() |
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#... set coefficients ... |
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C=Tensor4(0.,Function(mydomain)) |
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for i in range(mydomain.getDim()): |
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for j in range(mydomain.getDim()): |
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C[i,i,j,j]+=lam |
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C[j,i,j,i]+=mu |
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C[j,i,i,j]+=mu |
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msk=whereZero(x[0])*[1.,0.,0.] \ |
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+whereZero(x[1])*[0.,1.,0.] \ |
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+whereZero(x[2])*[0.,0.,1.] |
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sigma0=(lam+2./3.*mu)*alpha*(T-T_ref)*kronecker(mydomain) |
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mypde.setValue(A=C,X=sigma0,q=msk) |
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#... solve pde ... |
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u=mypde.getSolution() |
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#... calculate von-Misses |
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g=grad(u) |
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sigma=mu*(g+transpose(g))+lam*trace(g)*kronecker(mydomain)-sigma0 |
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sigma_mises=sqrt(((sigma[0,0]-sigma[1,1])**2+(sigma[1,1]-sigma[2,2])**2+ \ |
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(sigma[2,2]-sigma[0,0])**2)/6. \ |
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+sigma[0,1]**2 + sigma[1,2]**2 + sigma[2,0]**2) |
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#... output ... |
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saveVTK("deform.xml",disp=u,stress=sigma_mises) |
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