DirichletBC(V, np.zeros(3), center, method="pointwise"),
]
# Collect Boundary Conditions
bcs = pulse.BoundaryConditions(dirichlet=(dirichlet_bc, ))
# Create problem
problem = pulse.MechanicsProblem(geometry, material, bcs)
# Solve problem
max_xi = [0.1, 0.15, 0.1]
data = {}
for i, sr in enumerate([2.05, 1.02, 0.48]):
strain_ratio.assign(sr)
Effs = []
Sffs = []
Esss = []
Ssss = []
for xi in np.linspace(0, max_xi[i], 10):
try:
pulse.iterate.iterate(problem,
u0,
Constant(xi),
reinit_each_step=True)
except pulse.mechanicsproblem.SolverDidNotConverge:
continue
S = problem.SecondPiolaStress()
E = problem.GreenLagrangeStrain()
bcs = pulse.BoundaryConditions(dirichlet=dirichlet_bc, neumann=neumann_bc)
fig, ax = plt.subplots()
for material_model in ["neo_hookean", "guccione", "holzapfel_ogden"]:
material = setup_material(material_model)
problem = pulse.MechanicsProblem(geometry, material, bcs)
pressures = [0.0]
volumes = [geometry.cavity_volume()]
for p in np.linspace(0, ED_pressure, 10)[1:]:
pulse.iterate.iterate(problem, lvp, p)
pressures.append(p)
volumes.append(geometry.cavity_volume(u=problem.state.split()[0]))
ax.plot(volumes, pressures, label=" ".join(material_model.split("_")))
# Reset pressure
lvp.assign(Constant(0.0))
vs, ps = klotz_curve(ED_pressure)
ax.plot(vs, ps, linestyle="--", label="Klotz curve")
ax.legend(loc="best")
ax.set_xlabel("Volume (ml)")
ax.set_ylabel("Pressure (kPa)")
plt.show()
# plt.savefig("klotz_curve.png")