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phasefield-dynamic.py
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Tue, Nov 5, 13:21

phasefield-dynamic.py
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#!/usr/bin/env python
# coding: utf-8
__copyright__ = (
"Copyright (©) 2021-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)"
"Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)"
)
__license__ = "LGPLv3"
import akantu as aka
# 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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