test/python/linearElastic.py

""" $Id$ """
from esys.escript import *
from esys.escript.linearPDEs import LinearPDE
import esys.finley as finley

press0=1.
lamb=1.
nu=0.3

# this sets the hook tensor:
def setHookTensor(w,l,n):
   C=Tensor4(0.,w)
   for i in range(w.getDim()):
     for j in range(w.getDim()):
          C[i,i,j,j]+=l
          C[j,i,j,i]+=n
          C[j,i,i,j]+=n

   return C
  
# generate mesh: here 10x20 mesh of order 2
domain=finley.Rectangle(10,20,1,l0=0.5,l1=1.0)
# get handel to nodes and elements:
e=Function(domain)
fe=FunctionOnBoundary(domain)
n=ContinuousFunction(domain)
#
# set a mask msk of type vector which is one for nodes and components set be a constraint:
#
msk=whereZero(n.getX()[0])*[1.,1.]
#
#  set the normal stress components on face elements.
#  faces tagged with 21 get the normal stress [0,-press0].
#
# now the pressure is set to zero for x0 coordinates bigger then 0.1
press=whereNegative(fe.getX()[0]-0.1)*200000.*[1.,0.]
# assemble the linear system:
mypde=LinearPDE(domain)
mypde.setValue(A=setHookTensor(e,lamb,nu),y=press,q=msk,r=[0,0])
mypde.setSymmetryOn()
# solve for the displacements:
u_d=mypde.getSolution()
# get the gradient and calculate the stress:
g=grad(u_d)
stress=lamb*trace(g)*kronecker(domain)+nu*(g+transpose(g))
# write the hydrostatic pressure:
saveVTK("result.xml",displacement=u_d,pressure=trace(stress)/domain.getDim())
1	gross	447	""" $Id$ """
2			from esys.escript import *
3			from esys.escript.linearPDEs import LinearPDE
4			import esys.finley as finley
5
6			press0=1.
7			lamb=1.
8			nu=0.3
9
10			# this sets the hook tensor:
11			def setHookTensor(w,l,n):
12			C=Tensor4(0.,w)
13			for i in range(w.getDim()):
14			for j in range(w.getDim()):
15			C[i,i,j,j]+=l
16			C[j,i,j,i]+=n
17			C[j,i,i,j]+=n
18
19			return C
20
21			# generate mesh: here 10x20 mesh of order 2
22			domain=finley.Rectangle(10,20,1,l0=0.5,l1=1.0)
23			# get handel to nodes and elements:
24			e=Function(domain)
25			fe=FunctionOnBoundary(domain)
26			n=ContinuousFunction(domain)
27			#
28			# set a mask msk of type vector which is one for nodes and components set be a constraint:
29			#
30			msk=whereZero(n.getX()[0])*[1.,1.]
31			#
32			# set the normal stress components on face elements.
33			# faces tagged with 21 get the normal stress [0,-press0].
34			#
35			# now the pressure is set to zero for x0 coordinates bigger then 0.1
36			press=whereNegative(fe.getX()[0]-0.1)200000.[1.,0.]
37			# assemble the linear system:
38			mypde=LinearPDE(domain)
39			mypde.setValue(A=setHookTensor(e,lamb,nu),y=press,q=msk,r=[0,0])
40			mypde.setSymmetryOn()
41			# solve for the displacements:
42			u_d=mypde.getSolution()
43			# get the gradient and calculate the stress:
44			g=grad(u_d)
45			stress=lambtrace(g)kronecker(domain)+nu*(g+transpose(g))
46			# write the hydrostatic pressure:
47			saveVTK("result.xml",displacement=u_d,pressure=trace(stress)/domain.getDim())