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plate.py
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Sun, Nov 17, 18:30

plate.py
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import akantu
import numpy as np
################################################################
## Dirichlet Boudary condition functor: fix the displacement
################################################################
class FixedValue:
def __init__(self,value,axis):
self.value = value
if axis == 'x': axis = 0
if axis == 'y': axis = 1
self.axis = axis
def operator(self,node,flags,disp,coord):
# sets the displacement to the desired value in the desired axis
disp[self.axis] = self.value
# sets the blocked dofs vector to true in the desired axis
flags[self.axis] = True
################################################################
## Neumann Boudary condition functor: impose a traction
################################################################
class FromTraction:
def __init__(self,traction):
self.traction = traction
def operator(self,quad_point,force,coord,normals):
# sets the force to the desired value in the desired axis
force[:] = self.traction
################################################################
def solve(material_file,mesh_file,traction):
akantu.initialize(material_file)
spatial_dimension = 2
################################################################
##Initialization
################################################################
mesh = akantu.Mesh(spatial_dimension)
mesh.read(mesh_file)
akantu.MeshUtils.purifyMesh(mesh)
mesh.createGroupsFromStringMeshData("physical_names")
model = akantu.SolidMechanicsModel(mesh)
model.initFull(akantu.SolidMechanicsModelOptions(akantu._static))
model.assembleStiffnessMatrix()
model.updateResidual()
model.setBaseName("plate")
model.addDumpFieldVector("displacement")
model.addDumpFieldVector("force")
model.addDumpField("boundary")
model.addDumpField("strain")
model.addDumpField("stress")
model.addDumpField("blocked_dofs")
################################################################
##Boundary conditions
################################################################
displacement = model.getDisplacement()
blocked_dofs = model.getBlockedDOFs()
model.applyDirichletBC(FixedValue(0.0, 'x'), "XBlocked")
model.applyDirichletBC(FixedValue(0.0, 'y'), "YBlocked")
trac = np.zeros(spatial_dimension)
trac[1] = traction
print "Solve for traction ",traction
model.getForce()[:] = 0
model.applyNeumannBC(FromTraction(trac), "Traction")
model.solveStaticDisplacement(1e-10,2);
model.dump()
akantu.finalize()
################################################################
# main
################################################################
def main():
import os
mesh_file = 'plate.msh'
#if mesh was not created the calls gmsh to generate it
if not os.path.isfile(mesh_file):
import subprocess
ret = subprocess.call('gmsh -2 plate.geo {0}'.format(mesh_file),shell=True)
if not ret == 0:
raise Exception('execution of GMSH failed: do you have it installed ?')
material_file = 'material.dat'
spatial_dimension = 2
traction = 1.
solve(material_file,mesh_file,traction)
################################################################
if __name__ == "__main__":
main()

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