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phasefield-dynamic.py
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Sat, Nov 2, 10:04

phasefield-dynamic.py
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#!/usr/bin/env python
# coding: utf-8
import py11_akantu as aka
import subprocess
geometry_file = """
h1 = 1e-4;
h2 = 1e-3;
L = 32e-3;
H = 16e-3;
l = 4e-3;
Point(1) = {0, 0, 0, h1};
Point(2) = {L, 0, 0, h1};
Point(3) = {L, H/2, 0, h2};
Point(4) = {0, H/2, 0, h2};
Point(5) = {l, 0, 0, h1};
Point(6) = {0, 0, 0, h1};
Point(7) = {L, -H/2, 0, h2};
Point(8) = {0, -H/2, 0, h2};
Line(1) = {1, 5};
Line(2) = {4, 1};
Line(3) = {3, 4};
Line(4) = {2, 3};
Line(5) = {5, 2};
Line Loop(1) = {2, 3, 4, 5, 1};
Plane Surface(1) = {1};
Line(6) = {5, 6};
Line(7) = {6, 8};
Line(8) = {8, 7};
Line(9) = {7, 2};
Line Loop(2) = {6, 7, 8, 9, -5};
Plane Surface(2) = {2};
Physical Surface(8) = {1,2};
Physical Line("left") = {2,7};
Physical Line("bottom") = {8};
Physical Line("top") = {3};
Physical Line("right") = {4,9};
"""
with open('plate.geo', 'w') as f:
f.write(geometry_file)
ret = subprocess.run("gmsh -2 -order 1 -o plate.msh plate.geo", shell=True)
if ret.returncode:
print("Beware, gmsh could not run: mesh is not regenerated")
else:
print("Mesh generated")
material_file = """
material phasefield [
name = virtual
rho = 1180. # density
E = 3.09e9 # young's modulus
nu = 0.35 # poisson's ratio
eta = 0.0
finite_deformation = false
]
phasefield exponential [
name = virtual
E = 3.09e9
nu = 0.35
gc = 300.
l0 = 0.1e-3
]
"""
with open('material.dat', 'w') as f:
f.write(material_file)
# reading material file
aka.parseInput('material.dat')
# creating mesh
spatial_dimension = 2
mesh = aka.Mesh(spatial_dimension)
mesh.read('plate.msh')
model = aka.CouplerSolidPhaseField(mesh)
solid = model.getSolidMechanicsModel()
phase = model.getPhaseFieldModel()
# initializing the Solid Mechanics Model with implicit solver for static resolution
solid.initFull(_analysis_method=aka._static)
solver = solid.getNonLinearSolver('static')
solver.set('max_iterations', 100)
solver.set('threshold', 1e-10)
solver.set("convergence_type", aka.SolveConvergenceCriteria.residual)
# adding another solver dynamic/quasi-static resolution (explicit Newmark with lumped mass)
solid.initNewSolver(aka._explicit_lumped_mass)
# initializing the PhaseField Model with linear implicit solver for static resolution
phase.initFull(_analysis_method=aka._static)
# initializing the PhaseField Model with Newton Raphson implicit solver for static resolution
phase.getNewSolver("nonlinear_static", aka.TimeStepSolverType.static,
aka.NonLinearSolverType.newton_raphson)
phase.setIntegrationScheme("nonlinear_static", "damage",
aka.IntegrationSchemeType.pseudo_time)
solver = phase.getNonLinearSolver('nonlinear_static')
solver.set('max_iterations', 100)
solver.set('threshold', 1e-3)
solver.set("convergence_type", aka.SolveConvergenceCriteria.solution)
# Initialization for bulk vizualisation
solid.setBaseName('plate')
solid.addDumpFieldVector('displacement')
solid.addDumpFieldVector('external_force')
solid.addDumpFieldVector('velocity')
solid.addDumpField('strain')
solid.addDumpField('stress')
solid.addDumpField('damage')
solid.addDumpField('blocked_dofs')
class FixedDamage (aka.DirichletFunctor):
'''
Fix the damage to 0
'''
def __init__(self, axis):
super().__init__(axis)
self.axis = axis
def __call__(self, node, flags, dam, coord):
# sets the blocked dofs vector to true in the desired axis
flags[int(self.axis)] = True
dam[int(self.axis)] = 0.0
# Dirichlet
solid.applyBC(aka.FixedValue(0., aka._x), 'top')
solid.applyBC(aka.FixedValue(0., aka._x), 'bottom')
solid.applyBC(aka.FixedValue(0., aka._x), 'left')
solid.applyBC(aka.FixedValue(0., aka._x), 'right')
solid.applyBC(aka.FixedValue(0.06e-3, aka._y), 'top')
solid.applyBC(aka.FixedValue(-0.06e-3, aka._y), 'bottom')
solid.solveStep('static')
solid.dump()
# #### **Damped dynamics resolution**
solid.setTimeStep(solid.getStableTimeStep()*0.8)
# set maximum number of iteration
maxsteps = 1000
# solve using staggered scheme
for i in range(0, maxsteps):
if i % 100 == 0:
print('step {0}/{1}'.format(i, maxsteps))
model.solve('explicit_lumped', '')
if i % 100 == 0:
model.dump()

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