hi all,
im trying to use the solver from this docu https://fenicsproject.org/olddocs/dolfin/1.5.0/python/demo/documented/hyperelasticity/python/documentation.html and im getting the following error " form_compiler_parameters=ffc_options)
NameError: name ‘ffc_options’ is not defined"
is there a more updated option for the solver?
You are looking at an old page, note the version 1.5.0 in the url.
Start from https://fenicsproject.org/olddocs/dolfin/2019.1.0/python/ (note 2019.1.0 in the url), or whatever version you have installed.
hi, thanks for the relevant link
any idea why when i change my traction and body forces to zero the code fails ?
import matplotlib.pyplot as plt
from dolfin import *
import fenics as fe
# Optimization options for the form compiler
parameters["form_compiler"]["cpp_optimize"] = True
parameters["form_compiler"]["representation"] = "uflacs"
length, width, height = 1.0, 0.2, 0.2 # Dimensions of the rod
num_elements = 10 # Number of elements along each dimension
E= 0.5E7
# Young's moduli for the two halves of the rod
# Create a 3D mesh for the rod
mesh = UnitCubeMesh(24, 16, 16)
V = VectorFunctionSpace(mesh, "Lagrange", 1)
# Note that :py:class:`VectorFunctionSpace
# <dolfin.functions.functionspace.VectorFunctionSpace>` creates a
# function space of vector fields. The dimension of the vector field
# (the number of components) is assumed to be the same as the spatial
# dimension, unless otherwise specified.
#
# .. index:: compiled subdomain
#
# The portions of the boundary on which Dirichlet boundary conditions
# will be applied are now defined::
# Mark boundary subdomians
left = CompiledSubDomain("near(x[0], side) && on_boundary", side = 0.0)
right = CompiledSubDomain("near(x[0], side) && on_boundary", side = 1.0)
# The boundary subdomain ``left`` corresponds to the part of the
# boundary on which :math:`x=0` and the boundary subdomain ``right``
# corresponds to the part of the boundary on which :math:`x=1`. Note
# that C++ syntax is used in the :py:func:`CompiledSubDomain`
# <dolfin.compilemodules.subdomains.CompiledSubDomain>` function since
# the function will be automatically compiled into C++ code for
# efficiency. The (built-in) variable ``on_boundary`` is true for points
# on the boundary of a domain, and false otherwise.
#
# .. index:: compiled expression
#
# The Dirichlet boundary values are defined using compiled expressions::
# Define Dirichlet boundary (x = 0 or x = 1)
c = Constant((0.0, 0.0, 0.0))
r = Expression(("scale*0.0",
"scale*(y0 + (x[1] - y0)*cos(theta) - (x[2] - z0)*sin(theta) - x[1])",
"scale*(z0 + (x[1] - y0)*sin(theta) + (x[2] - z0)*cos(theta) - x[2])"),
scale = 0.5, y0 = 0.5, z0 = 0.5, theta = pi/3, degree=2)
# Note the use of setting named parameters in the :py:class:`Expression
# <dolfin.functions.expression.Expression>` for ``r``.
#
# The boundary subdomains and the boundary condition expressions are
# collected together in two :py:class:`DirichletBC
# <dolfin.fem.bcs.DirichletBC>` objects, one for each part of the
# Dirichlet boundary::
bcl = DirichletBC(V, c, left)
bcr = DirichletBC(V, r, right)
bcs = [bcl, bcr]
# The Dirichlet (essential) boundary conditions are constraints on the
# function space :math:`V`. The function space is therefore required as
# an argument to :py:class:`DirichletBC <dolfin.fem.bcs.DirichletBC>`.
#
# .. index:: TestFunction, TrialFunction, Constant
#
# Trial and test functions, and the most recent approximate displacement
# ``u`` are defined on the finite element space ``V``, and two objects
# of type :py:class:`Constant <dolfin.functions.constant.Constant>` are
# declared for the body force (``B``) and traction (``T``) terms::
# Define functions
du = TrialFunction(V) # Incremental displacement
v = TestFunction(V) # Test function
u = Function(V) # Displacement from previous iteration
B = Constant((0.0, 0.0, 0.0)) # Body force per unit volume
T = Constant((0.0, 0.0, 0.0)) # Traction force on the boundary
# In place of :py:class:`Constant <dolfin.functions.constant.Constant>`,
# it is also possible to use ``as_vector``, e.g. ``B = as_vector( [0.0,
# -0.5, 0.0] )``. The advantage of Constant is that its values can be
# changed without requiring re-generation and re-compilation of C++
# code. On the other hand, using ``as_vector`` can eliminate some
# function calls during assembly.
#
# With the functions defined, the kinematic quantities involved in the model
# are defined using UFL syntax::
# Kinematics
d = len(u)
I = Identity(d) # Identity tensor
F = I + grad(u) # Deformation gradient
C = F.T*F # Right Cauchy-Green tensor
# Invariants of deformation tensors
Ic = tr(C)
J = det(F)
# Next, the material parameters are set and the strain energy density
# and the total potential energy are defined, again using UFL syntax::
# Elasticity parameters
E, nu = 10.0, 0.49
mu, lmbda = Constant(E/(2*(1 + nu))), Constant(E*nu/((1 + nu)*(1 - 2*nu)))
# Stored strain energy density (compressible neo-Hookean model)
psi = (mu/2)*(Ic - 3) - mu*ln(J) + (lmbda/2)*(ln(J))**2
# Total potential energy
Pi = psi*dx - dot(B, u)*dx - dot(T, u)*ds
# Just as for the body force and traction vectors, :py:class:`Constant
# <dolfin.functions.constant.Constant>` has been used for the model
# parameters ``mu`` and ``lmbda`` to avoid re-generation of C++ code
# when changing model parameters. Note that ``lambda`` is a reserved
# keyword in Python, hence the misspelling ``lmbda``.
#
# .. index:: directional derivative; derivative, taking variations; derivative, automatic differentiation; derivative
#
# Directional derivatives are now computed of :math:`\Pi` and :math:`L`
# (see :eq:`first_variation` and :eq:`second_variation`)::
# Compute first variation of Pi (directional derivative about u in the direction of v)
F = derivative(Pi, u, v)
# Compute Jacobian of F
J = derivative(F, u, du)
# The complete variational problem can now be solved by a single call to
# :py:func:`solve <dolfin.fem.solving.solve>`::
# Solve variational problem
solve(F == 0, u, bcs, J=J)
# Finally, the solution ``u`` is saved to a file named
# ``displacement.pvd`` in VTK format, and the deformed mesh is plotted
# to the screen::
# Save solution in VTK format
file = File("displacement.pvd");
file << u;
u.rename("Displacement Vector", "")
beam_deflection_file = fe.XDMFFile("beam_deflection.xdmf")
beam_deflection_file.parameters["flush_output"] = True
beam_deflection_file.parameters["functions_share_mesh"] = True
beam_deflection_file.write(u, 0.0)
# Plot solution
plot(u)
plt.show()
with tihs error
Traceback (most recent call last):
File “/home/mirialex/PycharmProjects/fewmaterials/hyperfrombook.py”, line 138, in
solve(F == 0, u, bcs, J=J)
File “/usr/lib/petsc/lib/python3/dist-packages/dolfin/fem/solving.py”, line 233, in solve
_solve_varproblem(*args, **kwargs)
File “/usr/lib/petsc/lib/python3/dist-packages/dolfin/fem/solving.py”, line 314, in _solve_varproblem
solver.solve()
RuntimeError:
*** -------------------------------------------------------------------------
*** DOLFIN encountered an error. If you are not able to resolve this issue
*** using the information listed below, you can ask for help at
*** fenics-support@googlegroups.com
*** Remember to include the error message listed below and, if possible,
*** include a minimal running example to reproduce the error.
*** -------------------------------------------------------------------------
*** Error: Unable to solve nonlinear system with NewtonSolver.
*** Reason: Newton solver did not converge because maximum number of iterations reached.
*** Where: This error was encountered inside NewtonSolver.cpp.
*** Process: 0
*** DOLFIN version: 2019.2.0.dev0
*** Git changeset: ubuntu
*** -------------------------------------------------------------------------
Newton solvers are in general sensitive to the initial conditions. As you are u are not setting an initial guess for u it is likely that you are too far away from the correct solution to converge.
hi , im trying to derive the Cauchy stress function from this demo but im not abler to.
any chance you can guide me how to do it ?
i tried to do it with something i found on other documentations with diff but it didnt worked
i was using the updated demo that was attached above