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test_329.py
43 lines (36 loc) · 1.15 KB
/
test_329.py
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from dolfin import *
import mshr
domain = mshr.Rectangle(Point(0,0), Point(1,1))-mshr.Circle(Point(0.5,0.5), 0.1)
mesh = mshr.generate_mesh(domain, 10)
V = VectorFunctionSpace(mesh, 'CG',1)
u = TrialFunction(V)
v = TestFunction(V)
lmbda=121.15E3
mu=80.77E3
def epsilon(u):
return 0.5*(grad(u) + grad(u).T)
def sigma(u):
return 2.0*mu*epsilon(u) + lmbda*tr(epsilon(u))*Identity(2)
class top(SubDomain):
def inside(self,x,on_boundary):
tol = 1e-5
return abs(x[1]-1.0) < tol and on_boundary
class bottom(SubDomain):
def inside(self,x,on_boundary):
tol = 1e-5
return abs(x[1]) < tol and on_boundary
Bottom = bottom()
Top = top()
u0=Constant(("0.0","0.0"))
bc1=DirichletBC(V,u0,Bottom)
bc2=DirichletBC(V.sub(1),Constant(1.0),Top)
bc = [bc1, bc2]
Eu = inner(nabla_grad(v), sigma(u))*dx
uh = Function(V)
M = uh[0]*dx
tol = 1.e-3
solver_parameters = {"error_control":{"dual_variational_solver":{"linear_solver": "cg"}}}
solve(lhs(Eu) == rhs(Eu), uh, bc , tol=tol , M=M,solver_parameters=solver_parameters)
plot(u.root_node (), title="Solution on initial mesh")
plot(u.leaf_node (), title="Solution on final mesh")
interactive ()