if(UsePressureBasis):
# Define pressure basis
pressureBasis = iron.Basis()
pressureBasis.CreateStart(pressureBasisUserNumber)
if InterpolationType in (1,2,3,4):
pressureBasis.type = iron.BasisTypes.LAGRANGE_HERMITE_TP
elif InterpolationType in (7,8,9):
pressureBasis.type = iron.BasisTypes.SIMPLEX
pressureBasis.numberOfXi = numberOfXi
pressureBasis.interpolationXi = [iron.BasisInterpolationSpecifications.LINEAR_LAGRANGE]*numberOfXi
if(NumberOfGaussXi>0):
pressureBasis.quadratureNumberOfGaussXi = [NumberOfGaussXi]*numberOfXi
pressureBasis.CreateFinish()
# Start the creation of a generated mesh in the region
generatedMesh = iron.GeneratedMesh()
generatedMesh.CreateStart(generatedMeshUserNumber,region)
generatedMesh.type = iron.GeneratedMeshTypes.REGULAR
if(UsePressureBasis):
generatedMesh.basis = [basis,pressureBasis]
else:
generatedMesh.basis = [basis]
if(numberGlobalZElements==0):
generatedMesh.extent = [width,height]
generatedMesh.numberOfElements = [numberGlobalXElements,numberGlobalYElements]
else:
generatedMesh.extent = [width,length,height]
generatedMesh.numberOfElements = [numberGlobalXElements,numberGlobalYElements,numberGlobalZElements]
# Finish the creation of a generated mesh in the region
mesh = iron.Mesh()
generatedMesh.CreateFinish(meshUserNumber,mesh)
def solve_model(exportname, model=1, debug=False):
# Setting debug=False will prevent output of solver progress/results to the screen.
if debug:
print("Solving model {0}".format(model))
# Get the number of computational nodes and this computational node number
numberOfComputationalNodes = iron.ComputationalNumberOfNodesGet()
# computationalNodeNumber = iron.ComputationalNodeNumberGet()
# Create a 3D rectangular cartesian coordinate system
coordinateSystem = iron.CoordinateSystem()
coordinateSystem.CreateStart(coordinateSystemUserNumber)
coordinateSystem.DimensionSet(3)
coordinateSystem.CreateFinish()
# Create a region and assign the coordinate system to the region
region = iron.Region()
region.CreateStart(regionUserNumber, iron.WorldRegion)
region.LabelSet("Region")
region.coordinateSystem = coordinateSystem
region.CreateFinish()
# Define basis
basis = iron.Basis()
basis.CreateStart(basisUserNumber)
if InterpolationType in (1, 2, 3, 4):
basis.type = iron.BasisTypes.LAGRANGE_HERMITE_TP
elif InterpolationType in (7, 8, 9):
basis.type = iron.BasisTypes.SIMPLEX
basis.numberOfXi = numberOfXi
basis.interpolationXi = (
[iron.BasisInterpolationSpecifications.LINEAR_LAGRANGE] * numberOfXi)
if (NumberOfGaussXi > 0):
basis.quadratureNumberOfGaussXi = [NumberOfGaussXi] * numberOfXi
basis.CreateFinish()
if (UsePressureBasis):
# Define pressure basis
pressureBasis = iron.Basis()
pressureBasis.CreateStart(pressureBasisUserNumber)
if InterpolationType in (1, 2, 3, 4):
pressureBasis.type = iron.BasisTypes.LAGRANGE_HERMITE_TP
elif InterpolationType in (7, 8, 9):
pressureBasis.type = iron.BasisTypes.SIMPLEX
pressureBasis.numberOfXi = numberOfXi
pressureBasis.interpolationXi = (
[iron.BasisInterpolationSpecifications.LINEAR_LAGRANGE] *
numberOfXi)
if (NumberOfGaussXi > 0):
pressureBasis.quadratureNumberOfGaussXi = [NumberOfGaussXi
] * numberOfXi
pressureBasis.CreateFinish()
# Start the creation of a generated mesh in the region
generatedMesh = iron.GeneratedMesh()
generatedMesh.CreateStart(generatedMeshUserNumber, region)
generatedMesh.type = iron.GeneratedMeshTypes.REGULAR
if (UsePressureBasis):
generatedMesh.basis = [basis, pressureBasis]
else:
generatedMesh.basis = [basis]
generatedMesh.extent = [width, length, height]
generatedMesh.numberOfElements = ([
numberGlobalXElements, numberGlobalYElements, numberGlobalZElements
])
# Finish the creation of a generated mesh in the region
mesh = iron.Mesh()
generatedMesh.CreateFinish(meshUserNumber, mesh)
# Create a decomposition for the mesh
decomposition = iron.Decomposition()
decomposition.CreateStart(decompositionUserNumber, mesh)
decomposition.type = iron.DecompositionTypes.CALCULATED
decomposition.numberOfDomains = numberOfComputationalNodes
decomposition.CreateFinish()
# Create a field for the geometry
geometricField = iron.Field()
geometricField.CreateStart(geometricFieldUserNumber, region)
geometricField.MeshDecompositionSet(decomposition)
geometricField.TypeSet(iron.FieldTypes.GEOMETRIC)
geometricField.VariableLabelSet(iron.FieldVariableTypes.U, "Geometry")
geometricField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 1, 1)
geometricField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 2, 1)
geometricField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 3, 1)
if InterpolationType == 4:
geometricField.fieldScalingType = iron.FieldScalingTypes.ARITHMETIC_MEAN
geometricField.CreateFinish()
# Update the geometric field parameters from generated mesh
generatedMesh.GeometricParametersCalculate(geometricField)
# Create a fibre field and attach it to the geometric field
fibreField = iron.Field()
fibreField.CreateStart(fibreFieldUserNumber, region)
fibreField.TypeSet(iron.FieldTypes.FIBRE)
fibreField.MeshDecompositionSet(decomposition)
fibreField.GeometricFieldSet(geometricField)
fibreField.VariableLabelSet(iron.FieldVariableTypes.U, "Fibre")
if InterpolationType == 4:
fibreField.fieldScalingType = iron.FieldScalingTypes.ARITHMETIC_MEAN
fibreField.CreateFinish()
# Create a deformed geometry field, as Cmgui/Zinc doesn't like displaying
# deformed fibres from the dependent field because it isn't a geometric field.
deformedField = iron.Field()
deformedField.CreateStart(deformedFieldUserNumber, region)
deformedField.MeshDecompositionSet(decomposition)
deformedField.TypeSet(iron.FieldTypes.GEOMETRIC)
deformedField.VariableLabelSet(iron.FieldVariableTypes.U,
"DeformedGeometry")
for component in [1, 2, 3]:
deformedField.ComponentMeshComponentSet(iron.FieldVariableTypes.U,
component, 1)
if InterpolationType == 4:
deformedField.ScalingTypeSet(iron.FieldScalingTypes.ARITHMETIC_MEAN)
deformedField.CreateFinish()
pressureField = iron.Field()
pressureField.CreateStart(pressureFieldUserNumber, region)
pressureField.MeshDecompositionSet(decomposition)
pressureField.VariableLabelSet(iron.FieldVariableTypes.U, "Pressure")
pressureField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 1, 1)
pressureField.ComponentInterpolationSet(
iron.FieldVariableTypes.U, 1,
iron.FieldInterpolationTypes.ELEMENT_BASED)
pressureField.NumberOfComponentsSet(iron.FieldVariableTypes.U, 1)
pressureField.CreateFinish()
# Create the equations_set
equationsSetField = iron.Field()
equationsSet = iron.EquationsSet()
problemSpecification = [
iron.ProblemClasses.ELASTICITY, iron.ProblemTypes.FINITE_ELASTICITY,
iron.EquationsSetSubtypes.ORTHOTROPIC_MATERIAL_COSTA
]
equationsSet.CreateStart(equationsSetUserNumber, region, fibreField,
problemSpecification, equationsSetFieldUserNumber,
equationsSetField)
equationsSet.CreateFinish()
# Create the dependent field
dependentField = iron.Field()
equationsSet.DependentCreateStart(dependentFieldUserNumber, dependentField)
dependentField.VariableLabelSet(iron.FieldVariableTypes.U, "Dependent")
dependentField.ComponentInterpolationSet(
iron.FieldVariableTypes.U, 4,
iron.FieldInterpolationTypes.ELEMENT_BASED)
dependentField.ComponentInterpolationSet(
iron.FieldVariableTypes.DELUDELN, 4,
iron.FieldInterpolationTypes.ELEMENT_BASED)
if (UsePressureBasis):
# Set the pressure to be nodally based and use the second mesh component
if InterpolationType == 4:
dependentField.ComponentInterpolationSet(
iron.FieldVariableTypes.U, 4,
iron.FieldInterpolationTypes.NODE_BASED)
dependentField.ComponentInterpolationSet(
iron.FieldVariableTypes.DELUDELN, 4,
iron.FieldInterpolationTypes.NODE_BASED)
dependentField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 4,
2)
dependentField.ComponentMeshComponentSet(
iron.FieldVariableTypes.DELUDELN, 4, 2)
if InterpolationType == 4:
dependentField.fieldScalingType = iron.FieldScalingTypes.ARITHMETIC_MEAN
equationsSet.DependentCreateFinish()
# Create the material field
materialField = iron.Field()
equationsSet.MaterialsCreateStart(materialFieldUserNumber, materialField)
materialField.VariableLabelSet(iron.FieldVariableTypes.U, "Material")
equationsSet.MaterialsCreateFinish()
# Set Costa constitutive relation parameters.
# Q=[c_ff 2c_fs 2c_fn c_ss 2c_ns c_nn]' * [E_ff E_fs E_fn E_ss E_sn E_nn].^2;
if model in [1, 3, 4]:
c_1 = 0.0475
c_ff = 15.25
c_fs = 6.05
c_fn = c_fs
c_ss = c_ff
c_sn = c_fs
c_nn = c_ff
elif model in [2, 5, 6]:
c_1 = 0.0475
c_ff = 15.25
c_fs = 6.95
c_fn = 6.05
c_ss = 6.8
c_sn = 4.93
c_nn = 8.9
materialField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 1, c_1)
materialField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 2, c_ff)
materialField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 3, c_fs)
materialField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 4, c_fn)
materialField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 5, c_ss)
materialField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 6, c_sn)
materialField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 7, c_nn)
if model in [1, 2]:
angle = numpy.deg2rad(0.)
elif model == 3:
angle = numpy.deg2rad(30.)
elif model in [4, 5]:
angle = numpy.deg2rad(45.)
elif model == 6:
angle = numpy.deg2rad(90.)
fibreField.ComponentValuesInitialiseDP(iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES,
1, angle)
# Create equations
equations = iron.Equations()
equationsSet.EquationsCreateStart(equations)
equations.sparsityType = iron.EquationsSparsityTypes.SPARSE
equations.outputType = iron.EquationsOutputTypes.NONE
equationsSet.EquationsCreateFinish()
# Initialise dependent field from undeformed geometry and displacement bcs and set hydrostatic pressure
iron.Field.ParametersToFieldParametersComponentCopy(
geometricField, iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, 1, dependentField,
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 1)
iron.Field.ParametersToFieldParametersComponentCopy(
geometricField, iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, 2, dependentField,
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 2)
iron.Field.ParametersToFieldParametersComponentCopy(
geometricField, iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, 3, dependentField,
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 3)
iron.Field.ComponentValuesInitialiseDP(dependentField,
iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES,
4, 0.0)
# Define the problem
problem = iron.Problem()
problemSpecification = [
iron.ProblemClasses.ELASTICITY, iron.ProblemTypes.FINITE_ELASTICITY,
iron.ProblemSubtypes.NONE
]
problem.CreateStart(problemUserNumber, problemSpecification)
problem.CreateFinish()
# Create the problem control loop
problem.ControlLoopCreateStart()
controlLoop = iron.ControlLoop()
problem.ControlLoopGet([iron.ControlLoopIdentifiers.NODE], controlLoop)
controlLoop.MaximumIterationsSet(numberOfLoadIncrements)
problem.ControlLoopCreateFinish()
# Create problem solver
nonLinearSolver = iron.Solver()
linearSolver = iron.Solver()
problem.SolversCreateStart()
problem.SolverGet([iron.ControlLoopIdentifiers.NODE], 1, nonLinearSolver)
if debug:
nonLinearSolver.outputType = iron.SolverOutputTypes.PROGRESS
else:
nonLinearSolver.outputType = iron.SolverOutputTypes.NONE
nonLinearSolver.NewtonJacobianCalculationTypeSet(
iron.JacobianCalculationTypes.EQUATIONS)
nonLinearSolver.NewtonLinearSolverGet(linearSolver)
linearSolver.linearType = iron.LinearSolverTypes.DIRECT
#linearSolver.libraryType = iron.SolverLibraries.LAPACK
problem.SolversCreateFinish()
# Create solver equations and add equations set to solver equations
solver = iron.Solver()
solverEquations = iron.SolverEquations()
problem.SolverEquationsCreateStart()
problem.SolverGet([iron.ControlLoopIdentifiers.NODE], 1, solver)
solver.SolverEquationsGet(solverEquations)
solverEquations.sparsityType = iron.SolverEquationsSparsityTypes.SPARSE
_ = solverEquations.EquationsSetAdd(equationsSet)
problem.SolverEquationsCreateFinish()
# Prescribe boundary conditions (absolute nodal parameters)
boundaryConditions = iron.BoundaryConditions()
solverEquations.BoundaryConditionsCreateStart(boundaryConditions)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
1, X, iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
3, X, iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
5, X, iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
7, X, iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
2, X, iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
4, X, iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
6, X, iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
8, X, iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
1, Y, iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
2, Y, iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
5, Y, iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
6, Y, iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
3, Y, iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
4, Y, iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
7, Y, iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
8, Y, iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
1, Z, iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
2, Z, iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
3, Z, iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U, 1, 1,
4, Z, iron.BoundaryConditionsTypes.FIXED, 0.0)
solverEquations.BoundaryConditionsCreateFinish()
# Solve the problem
problem.Solve()
# Copy deformed geometry into deformed field
for component in [1, 2, 3]:
dependentField.ParametersToFieldParametersComponentCopy(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES,
component, deformedField, iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, component)
# Copy pressure into pressure field
dependentField.ParametersToFieldParametersComponentCopy(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 4,
pressureField, iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, 1)
# Export results
fields = iron.Fields()
fields.CreateRegion(region)
fields.NodesExport(exportname, "FORTRAN")
fields.ElementsExport(exportname, "FORTRAN")
fields.Finalise()
Q = numpy.array([[numpy.cos(angle), -numpy.sin(angle), 0.],
[numpy.sin(angle), numpy.cos(angle), 0.], [0., 0., 1.]])
results = {}
elementNumber = 1
xiPosition = [0.5, 0.5, 0.5]
# Note that there seems to be a bug with F in OpenCMISS when fibre angles are specified in x1-x2 plane
#F = equationsSet.TensorInterpolateXi(
# iron.EquationsSetTensorEvaluateTypes.DEFORMATION_GRADIENT,
# elementNumber, xiPosition,(3,3))
Ffib = numpy.array([[0.1250E+01, 0., 0.], [0., 0.1250E+01, 0.],
[0., 0., 0.6400E+00]])
Fref = Ffib
results["Deformation gradient tensor (fibre coordinate system)"] = Ffib
results["Deformation gradient tensor (reference coordinate system)"] = Fref
if debug:
print("Deformation gradient tensor (fibre coordinate system)")
print(Ffib)
print("Deformation gradient tensor (reference coordinate system)")
print(Fref)
Cfib = equationsSet.TensorInterpolateXi(
iron.EquationsSetTensorEvaluateTypes.R_CAUCHY_GREEN_DEFORMATION,
elementNumber, xiPosition, (3, 3))
Cref = Cfib
results[
"Right Cauchy-Green deformation tensor (fibre coordinate system)"] = Cfib
results[
"Right Cauchy-Green deformation tensor (reference coordinate system)"] = Cref
if debug:
print(
"Right Cauchy-Green deformation tensor (fibre coordinate system)")
print(Cfib)
print(
"Right Cauchy-Green deformation tensor (reference coordinate system)"
)
print(Cref)
Efib = equationsSet.TensorInterpolateXi(
iron.EquationsSetTensorEvaluateTypes.GREEN_LAGRANGE_STRAIN,
elementNumber, xiPosition, (3, 3))
results["Green-Lagrange strain tensor (fibre coordinate system)"] = Efib
if debug:
print("Green-Lagrange strain tensor (fibre coordinate system)")
print(Efib)
Eref = numpy.dot(Q, numpy.dot(Efib, numpy.matrix.transpose(Q)))
results[
"Green-Lagrange strain tensor (reference coordinate system)"] = Eref
if debug:
print("Green-Lagrange strain tensor (reference coordinate system)")
print(Eref)
I1 = numpy.trace(Cfib)
I2 = 0.5 * (numpy.trace(Cfib)**2. - numpy.tensordot(Cfib, Cfib))
I3 = numpy.linalg.det(Cfib)
results["Invariants of Cfib (fibre coordinate system)"] = [I1, I2, I3]
if debug:
print("Invariants of Cfib (fibre coordinate system)")
print("I1={0}, I2={1}, I3={2}".format(I1, I2, I3))
I1 = numpy.trace(Cref)
I2 = 0.5 * (numpy.trace(Cref)**2. - numpy.tensordot(Cref, Cref))
I3 = numpy.linalg.det(Cref)
results["Invariants of Cref (reference coordinate system)"] = [I1, I2, I3]
if debug:
print("Invariants of Cref (reference coordinate system)")
print("I1={0}, I2={1}, I3={2}".format(I1, I2, I3))
TCref = equationsSet.TensorInterpolateXi(
iron.EquationsSetTensorEvaluateTypes.CAUCHY_STRESS, elementNumber,
xiPosition, (3, 3))
results["Cauchy stress tensor (reference coordinate system)"] = TCref
if debug:
print("Cauchy stress tensor (reference coordinate system)")
print(TCref)
# Output of Second Piola-Kirchhoff Stress Tensor not implemented. It is
# instead, calculated from TG=J*F^(-1)*TC*F^(-T), where T indicates the
# transpose fo the matrix.
#TG = equationsSet.TensorInterpolateXi(
# iron.EquationsSetTensorEvaluateTypes.SECOND_PK_STRESS,
# elementNumber, xiPosition,(3,3))
#J=1. #Assumes J=1
TGref = numpy.dot(
numpy.linalg.inv(Fref),
numpy.dot(TCref, numpy.linalg.inv(numpy.matrix.transpose(Fref))))
results[
"Second Piola-Kirchhoff stress tensor (reference coordinate system)"] = TGref
if debug:
print(
"Second Piola-Kirchhoff stress tensor (reference coordinate system)"
)
print(TGref)
TGfib = numpy.dot(numpy.matrix.transpose(Q), numpy.dot(TGref, Q))
results[
"Second Piola-Kirchhoff stress tensor (fibre coordinate system)"] = TGfib
if debug:
print("Second Piola-Kirchhoff stress tensor (fibre coordinate system)")
print(TGfib)
# Note that the hydrostatic pressure value is different from the value quoted
# in the original lab instructions. This is because the stress has been
# evaluated using modified invariants (isochoric invariants)
p = -dependentField.ParameterSetGetElement(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES,
elementNumber, 4)
results["Hydrostatic pressure"] = p
if debug:
print("Hydrostatic pressure")
print(p)
problem.Destroy()
coordinateSystem.Destroy()
region.Destroy()
basis.Destroy()
return results
def solve_model(exportname, model=1, debug=False):
# Setting debug=False will prevent output of solver progress/results to the screen.
if debug:
print("Solving model {0}".format(model))
# Get the number of computational nodes and this computational node number
numberOfComputationalNodes = iron.ComputationalNumberOfNodesGet()
# computationalNodeNumber = iron.ComputationalNodeNumberGet()
# Create a 3D rectangular cartesian coordinate system
coordinateSystem = iron.CoordinateSystem()
coordinateSystem.CreateStart(coordinateSystemUserNumber)
coordinateSystem.DimensionSet(3)
coordinateSystem.CreateFinish()
# Create a region and assign the coordinate system to the region
region = iron.Region()
region.CreateStart(regionUserNumber, iron.WorldRegion)
region.LabelSet("Region")
region.coordinateSystem = coordinateSystem
region.CreateFinish()
# Define basis
basis = iron.Basis()
basis.CreateStart(basisUserNumber)
if InterpolationType in (1, 2, 3, 4):
basis.type = iron.BasisTypes.LAGRANGE_HERMITE_TP
elif InterpolationType in (7, 8, 9):
basis.type = iron.BasisTypes.SIMPLEX
basis.numberOfXi = numberOfXi
basis.interpolationXi = (
[iron.BasisInterpolationSpecifications.LINEAR_LAGRANGE] * numberOfXi)
if (NumberOfGaussXi > 0):
basis.quadratureNumberOfGaussXi = [NumberOfGaussXi] * numberOfXi
basis.CreateFinish()
if (UsePressureBasis):
# Define pressure basis
pressureBasis = iron.Basis()
pressureBasis.CreateStart(pressureBasisUserNumber)
if InterpolationType in (1, 2, 3, 4):
pressureBasis.type = iron.BasisTypes.LAGRANGE_HERMITE_TP
elif InterpolationType in (7, 8, 9):
pressureBasis.type = iron.BasisTypes.SIMPLEX
pressureBasis.numberOfXi = numberOfXi
pressureBasis.interpolationXi = (
[iron.BasisInterpolationSpecifications.LINEAR_LAGRANGE] *
numberOfXi)
if (NumberOfGaussXi > 0):
pressureBasis.quadratureNumberOfGaussXi = [NumberOfGaussXi
] * numberOfXi
pressureBasis.CreateFinish()
# Start the creation of a generated mesh in the region
generatedMesh = iron.GeneratedMesh()
generatedMesh.CreateStart(generatedMeshUserNumber, region)
generatedMesh.type = iron.GeneratedMeshTypes.REGULAR
if (UsePressureBasis):
generatedMesh.basis = [basis, pressureBasis]
else:
generatedMesh.basis = [basis]
generatedMesh.extent = [width, length, height]
generatedMesh.numberOfElements = ([
numberGlobalXElements, numberGlobalYElements, numberGlobalZElements
])
# Finish the creation of a generated mesh in the region
mesh = iron.Mesh()
generatedMesh.CreateFinish(meshUserNumber, mesh)
# Create a decomposition for the mesh
decomposition = iron.Decomposition()
decomposition.CreateStart(decompositionUserNumber, mesh)
decomposition.type = iron.DecompositionTypes.CALCULATED
decomposition.numberOfDomains = numberOfComputationalNodes
decomposition.CreateFinish()
# Create a field for the geometry
geometricField = iron.Field()
geometricField.CreateStart(geometricFieldUserNumber, region)
geometricField.MeshDecompositionSet(decomposition)
geometricField.TypeSet(iron.FieldTypes.GEOMETRIC)
geometricField.VariableLabelSet(iron.FieldVariableTypes.U, "Geometry")
geometricField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 1, 1)
geometricField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 2, 1)
geometricField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 3, 1)
if InterpolationType == 4:
geometricField.fieldScalingType = iron.FieldScalingTypes.ARITHMETIC_MEAN
geometricField.CreateFinish()
# Update the geometric field parameters from generated mesh
generatedMesh.GeometricParametersCalculate(geometricField)
# Create a fibre field and attach it to the geometric field
fibreField = iron.Field()
fibreField.CreateStart(fibreFieldUserNumber, region)
fibreField.TypeSet(iron.FieldTypes.FIBRE)
fibreField.MeshDecompositionSet(decomposition)
fibreField.GeometricFieldSet(geometricField)
fibreField.VariableLabelSet(iron.FieldVariableTypes.U, "Fibre")
if InterpolationType == 4:
fibreField.fieldScalingType = iron.FieldScalingTypes.ARITHMETIC_MEAN
fibreField.CreateFinish()
# Create a deformed geometry field, as Cmgui/Zinc doesn't like displaying
# deformed fibres from the dependent field because it isn't a geometric field.
deformedField = iron.Field()
deformedField.CreateStart(deformedFieldUserNumber, region)
deformedField.MeshDecompositionSet(decomposition)
deformedField.TypeSet(iron.FieldTypes.GEOMETRIC)
deformedField.VariableLabelSet(iron.FieldVariableTypes.U,
"DeformedGeometry")
for component in [1, 2, 3]:
deformedField.ComponentMeshComponentSet(iron.FieldVariableTypes.U,
component, 1)
if InterpolationType == 4:
deformedField.ScalingTypeSet(iron.FieldScalingTypes.ARITHMETIC_MEAN)
deformedField.CreateFinish()
pressureField = iron.Field()
pressureField.CreateStart(pressureFieldUserNumber, region)
pressureField.MeshDecompositionSet(decomposition)
pressureField.VariableLabelSet(iron.FieldVariableTypes.U, "Pressure")
pressureField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 1, 1)
pressureField.ComponentInterpolationSet(
iron.FieldVariableTypes.U, 1,
iron.FieldInterpolationTypes.ELEMENT_BASED)
pressureField.NumberOfComponentsSet(iron.FieldVariableTypes.U, 1)
pressureField.CreateFinish()
# Create the equations_set
equationsSetField = iron.Field()
equationsSet = iron.EquationsSet()
problemSpecification = [
iron.ProblemClasses.ELASTICITY, iron.ProblemTypes.FINITE_ELASTICITY,
iron.EquationsSetSubtypes.MOONEY_RIVLIN
]
equationsSet.CreateStart(equationsSetUserNumber, region, fibreField,
problemSpecification, equationsSetFieldUserNumber,
equationsSetField)
equationsSet.CreateFinish()
# Create the dependent field
dependentField = iron.Field()
equationsSet.DependentCreateStart(dependentFieldUserNumber, dependentField)
dependentField.VariableLabelSet(iron.FieldVariableTypes.U, "Dependent")
dependentField.ComponentInterpolationSet(
iron.FieldVariableTypes.U, 4,
iron.FieldInterpolationTypes.ELEMENT_BASED)
dependentField.ComponentInterpolationSet(
iron.FieldVariableTypes.DELUDELN, 4,
iron.FieldInterpolationTypes.ELEMENT_BASED)
if (UsePressureBasis):
# Set the pressure to be nodally based and use the second mesh component
if InterpolationType == 4:
dependentField.ComponentInterpolationSet(
iron.FieldVariableTypes.U, 4,
iron.FieldInterpolationTypes.NODE_BASED)
dependentField.ComponentInterpolationSet(
iron.FieldVariableTypes.DELUDELN, 4,
iron.FieldInterpolationTypes.NODE_BASED)
dependentField.ComponentMeshComponentSet(iron.FieldVariableTypes.U, 4,
2)
dependentField.ComponentMeshComponentSet(
iron.FieldVariableTypes.DELUDELN, 4, 2)
if InterpolationType == 4:
dependentField.fieldScalingType = iron.FieldScalingTypes.ARITHMETIC_MEAN
equationsSet.DependentCreateFinish()
# Create the material field
materialField = iron.Field()
equationsSet.MaterialsCreateStart(materialFieldUserNumber, materialField)
materialField.VariableLabelSet(iron.FieldVariableTypes.U, "Material")
equationsSet.MaterialsCreateFinish()
# Set Mooney-Rivlin constants c10 and c01 respectively.
materialField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 1, 1.0)
materialField.ComponentValuesInitialiseDP(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 2, 0.2)
# Create equations
equations = iron.Equations()
equationsSet.EquationsCreateStart(equations)
equations.sparsityType = iron.EquationsSparsityTypes.SPARSE
equations.outputType = iron.EquationsOutputTypes.NONE
equationsSet.EquationsCreateFinish()
# Initialise dependent field from undeformed geometry and displacement bcs and set hydrostatic pressure
iron.Field.ParametersToFieldParametersComponentCopy(
geometricField, iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, 1, dependentField,
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 1)
iron.Field.ParametersToFieldParametersComponentCopy(
geometricField, iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, 2, dependentField,
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 2)
iron.Field.ParametersToFieldParametersComponentCopy(
geometricField, iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, 3, dependentField,
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 3)
iron.Field.ComponentValuesInitialiseDP(dependentField,
iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES,
4, 0.0)
# Define the problem
problem = iron.Problem()
problemSpecification = [
iron.ProblemClasses.ELASTICITY, iron.ProblemTypes.FINITE_ELASTICITY,
iron.ProblemSubtypes.NONE
]
problem.CreateStart(problemUserNumber, problemSpecification)
problem.CreateFinish()
# Create the problem control loop
problem.ControlLoopCreateStart()
controlLoop = iron.ControlLoop()
problem.ControlLoopGet([iron.ControlLoopIdentifiers.NODE], controlLoop)
controlLoop.MaximumIterationsSet(numberOfLoadIncrements)
problem.ControlLoopCreateFinish()
# Create problem solver
nonLinearSolver = iron.Solver()
linearSolver = iron.Solver()
problem.SolversCreateStart()
problem.SolverGet([iron.ControlLoopIdentifiers.NODE], 1, nonLinearSolver)
if debug:
nonLinearSolver.outputType = iron.SolverOutputTypes.PROGRESS
else:
nonLinearSolver.outputType = iron.SolverOutputTypes.NONE
nonLinearSolver.NewtonJacobianCalculationTypeSet(
iron.JacobianCalculationTypes.EQUATIONS)
nonLinearSolver.NewtonLinearSolverGet(linearSolver)
linearSolver.linearType = iron.LinearSolverTypes.DIRECT
#linearSolver.libraryType = iron.SolverLibraries.LAPACK
problem.SolversCreateFinish()
# Create solver equations and add equations set to solver equations
solver = iron.Solver()
solverEquations = iron.SolverEquations()
problem.SolverEquationsCreateStart()
problem.SolverGet([iron.ControlLoopIdentifiers.NODE], 1, solver)
solver.SolverEquationsGet(solverEquations)
solverEquations.sparsityType = iron.SolverEquationsSparsityTypes.SPARSE
_ = solverEquations.EquationsSetAdd(equationsSet)
problem.SolverEquationsCreateFinish()
# Prescribe boundary conditions (absolute nodal parameters)
boundaryConditions = iron.BoundaryConditions()
solverEquations.BoundaryConditionsCreateStart(boundaryConditions)
if model == 1:
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 3, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 5, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 7, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, X,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 4, X,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, X,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 8, X,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 5, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 3, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 4, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
p = -2. * -0.1056E+01
elif model == 2:
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 3, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 5, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 7, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, X,
iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 4, X,
iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, X,
iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 8, X,
iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 5, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 3, Y,
iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 4, Y,
iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 7, Y,
iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 8, Y,
iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 3, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 4, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
p = -2. * -0.6656E+00
elif model == 3:
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 3, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 5, X,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 7, X,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 4, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, X,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 8, X,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 5, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 3, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 4, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 5, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 7, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 8, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
p = -2. * -0.1450E+01
elif model == 4:
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 3, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, X,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 8, X,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 5, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 3, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, Z,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 8, Z,
iron.BoundaryConditionsTypes.FIXED, 0.5)
p = -2. * -0.1056E+01
elif model == 5:
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 3, X,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 5, X,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 7, X,
iron.BoundaryConditionsTypes.FIXED, 0.5)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, X,
iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 4, X,
iron.BoundaryConditionsTypes.FIXED, 0.25)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, X,
iron.BoundaryConditionsTypes.FIXED, 0.75)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 8, X,
iron.BoundaryConditionsTypes.FIXED, 0.75)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 5, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, Y,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 1, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 2, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 3, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 4, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 5, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 6, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 7, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
boundaryConditions.AddNode(dependentField, iron.FieldVariableTypes.U,
1, 1, 8, Z,
iron.BoundaryConditionsTypes.FIXED, 0.0)
p = -2. * -0.1000E+01
solverEquations.BoundaryConditionsCreateFinish()
# Solve the problem
problem.Solve()
# Copy deformed geometry into deformed field
for component in [1, 2, 3]:
dependentField.ParametersToFieldParametersComponentCopy(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES,
component, deformedField, iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, component)
# Copy pressure into pressure field
dependentField.ParametersToFieldParametersComponentCopy(
iron.FieldVariableTypes.U, iron.FieldParameterSetTypes.VALUES, 4,
pressureField, iron.FieldVariableTypes.U,
iron.FieldParameterSetTypes.VALUES, 1)
# Export results
fields = iron.Fields()
fields.CreateRegion(region)
fields.NodesExport(exportname, "FORTRAN")
fields.ElementsExport(exportname, "FORTRAN")
fields.Finalise()
results = {}
elementNumber = 1
xiPosition = [0.5, 0.5, 0.5]
F = equationsSet.TensorInterpolateXi(
iron.EquationsSetTensorEvaluateTypes.DEFORMATION_GRADIENT,
elementNumber, xiPosition, (3, 3))
results['Deformation Gradient Tensor'] = F
if debug:
print("Deformation Gradient Tensor")
print(F)
C = equationsSet.TensorInterpolateXi(
iron.EquationsSetTensorEvaluateTypes.R_CAUCHY_GREEN_DEFORMATION,
elementNumber, xiPosition, (3, 3))
results['Right Cauchy-Green Deformation Tensor'] = C
if debug:
print("Right Cauchy-Green Deformation Tensor")
print(C)
E = equationsSet.TensorInterpolateXi(
iron.EquationsSetTensorEvaluateTypes.GREEN_LAGRANGE_STRAIN,
elementNumber, xiPosition, (3, 3))
results['Green-Lagrange Strain Tensor'] = E
if debug:
print("Green-Lagrange Strain Tensor")
print(E)
I1 = numpy.trace(C)
I2 = 0.5 * (numpy.trace(C)**2. - numpy.tensordot(C, C))
I3 = numpy.linalg.det(C)
results['Invariants'] = [I1, I2, I3]
if debug:
print("Invariants")
print("I1={0}, I2={1}, I3={2}".format(I1, I2, I3))
TC = equationsSet.TensorInterpolateXi(
iron.EquationsSetTensorEvaluateTypes.CAUCHY_STRESS, elementNumber,
xiPosition, (3, 3))
results['Cauchy Stress Tensor'] = TC
if debug:
print("Cauchy Stress Tensor")
print(TC)
# Output of Second Piola-Kirchhoff Stress Tensor not implemented. It is
# instead, calculated from TG=J*F^(-1)*TC*F^(-T), where T indicates the
# transpose fo the matrix.
#TG = equationsSet.TensorInterpolateXi(
# iron.EquationsSetTensorEvaluateTypes.SECOND_PK_STRESS,
# elementNumber, xiPosition,(3,3))
#J=1. #Assumes J=1
TG = numpy.dot(numpy.linalg.inv(F),
numpy.dot(TC, numpy.linalg.inv(numpy.matrix.transpose(F))))
results['Second Piola-Kirchhoff Stress Tensor'] = TG
if debug:
print("Second Piola-Kirchhoff Stress Tensor")
print(TG)
# Note that the hydrostatic pressure value is different from the value quoted
# in the original lab instructions. This is because the stress has been
# evaluated using modified invariants (isochoric invariants)
#p = dependentField.ParameterSetGetElement(
# iron.FieldVariableTypes.U,
# iron.FieldParameterSetTypes.VALUES,elementNumber,4)
results['Hydrostatic pressure'] = p
if debug:
print("Hydrostatic pressure")
print(p)
problem.Destroy()
coordinateSystem.Destroy()
region.Destroy()
basis.Destroy()
return results
def generate_opencmiss_geometry(interpolation=None,
region_label='region',
num_elements=None,
dimensions=None,
scaling_type=None,
mesh_type=None):
""" Generates an OpenCMISS geometry (mesh and geometric field)
Args:
interpolation (iron.BasisInterpolationSpecifications):
Element interpolation e.g. LINEAR_LAGRANGE
region_label (str): Region name
num_elements (arr): Number of elements in the mesh along each element
xi e.g. [1,1,1]
dimensions (arr): Dimension of the geometry, e.g. [10, 10, 10] for a
regular mesh
scaling_type (iron.FieldScalingTypes): The type of field scaling to use
e.g. 'NONE'
mesh_type(iron.GeneratedMeshTypes): Type of mesh to generate. Options
are: 'CYLINDER', 'ELLIPSOID', 'FRACTAL_TREE', 'POLAR', 'REGULAR'
Returns:
region, decomposition, mesh, geometric_field
"""
# OpenCMISS user numbers
coor_sys_user_num = 1
region_user_num = 1
basis_user_num = 1
generated_mesh_user_num = 1
mesh_user_num = 1
decomposition_user_num = 1
geometric_field_user_num = 1
# Instances for setting up OpenCMISS mesh
coordinate_system = iron.CoordinateSystem()
region = iron.Region()
basis = iron.Basis()
generated_mesh = iron.GeneratedMesh()
mesh = iron.Mesh()
decomposition = iron.Decomposition()
geometric_field = iron.Field()
if interpolation is None:
interpolation = iron.BasisInterpolationSpecifications.LINEAR_LAGRANGE
if dimensions is None:
dimensions = np.array([1, 1, 1]) # Length, width, height
if num_elements is None:
num_elements = [1, 1, 1]
components = [1, 2, 3] # Geometric components
dimension = 3 # 3D coordinates
if scaling_type is None:
scaling_type = iron.FieldScalingTypes.NONE
if mesh_type is None:
mesh_type = iron.GeneratedMeshTypes.REGULAR
# Get the number of computational nodes and this computational node number
numberOfComputationalNodes = iron.ComputationalNumberOfNodesGet()
computationalNodeNumber = iron.ComputationalNodeNumberGet()
# Create a 3D rectangular cartesian coordinate system
coordinate_system.CreateStart(coor_sys_user_num)
coordinate_system.DimensionSet(dimension)
coordinate_system.CreateFinish()
# Create a region and assign the coordinate system to the region
region.CreateStart(region_user_num, iron.WorldRegion)
region.LabelSet(region_label)
region.CoordinateSystemSet(coordinate_system)
region.CreateFinish()
# Define basis
basis.CreateStart(basis_user_num)
basis.TypeSet(iron.BasisTypes.LAGRANGE_HERMITE_TP)
basis.NumberOfXiSet(dimension)
basis.InterpolationXiSet([interpolation] * dimension)
# Set number of Gauss points used for quadrature
if interpolation == iron.BasisInterpolationSpecifications.LINEAR_LAGRANGE:
number_gauss_xi = 2
elif interpolation == \
iron.BasisInterpolationSpecifications.QUADRATIC_LAGRANGE:
number_gauss_xi = 3
elif interpolation == \
iron.BasisInterpolationSpecifications.CUBIC_LAGRANGE:
number_gauss_xi = 4
else:
raise ValueError('Interpolation not supported')
basis.QuadratureNumberOfGaussXiSet([number_gauss_xi] * dimension)
basis.CreateFinish()
# Start the creation of a generated mesh in the region
generated_mesh.CreateStart(generated_mesh_user_num, region)
generated_mesh.TypeSet(mesh_type)
generated_mesh.BasisSet([basis])
generated_mesh.ExtentSet(dimensions)
generated_mesh.NumberOfElementsSet(num_elements)
generated_mesh.CreateFinish(mesh_user_num, mesh)
# Create a decomposition for the mesh
decomposition.CreateStart(decomposition_user_num, mesh)
decomposition.TypeSet(iron.DecompositionTypes.CALCULATED)
decomposition.CalculateFacesSet(True)
decomposition.NumberOfDomainsSet(numberOfComputationalNodes)
decomposition.CreateFinish()
# Create a field for the geometry
geometric_field.CreateStart(geometric_field_user_num, region)
geometric_field.MeshDecompositionSet(decomposition)
geometric_field.TypeSet(iron.FieldTypes.GEOMETRIC)
geometric_field.VariableLabelSet(iron.FieldVariableTypes.U, "geometry")
for component in components:
geometric_field.ComponentMeshComponentSet(iron.FieldVariableTypes.U,
component, 1)
geometric_field.ScalingTypeSet(scaling_type)
geometric_field.CreateFinish()
# Update the geometric field parameters from generated mesh
generated_mesh.GeometricParametersCalculate(geometric_field)
generated_mesh.Destroy()
return region, decomposition, mesh, geometric_field
