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phasefield-static.py
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Sat, Jul 13, 12:17

phasefield-static.py
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#!/usr/bin/env python
# coding: utf-8
""" phasefield-static.py: Static phase field example"""
__author__ = "Mohit Pundir"
__credits__ = [
"Mohit Pundir <mohit.pundir@epfl.ch>",
]
__copyright__ = "Copyright (©) 2018-2021 EPFL (Ecole Polytechnique Fédérale" \
" de Lausanne) Laboratory (LSMS - Laboratoire de Simulation" \
" en Mécanique des Solides)"
__license__ = "LGPLv3"
import numpy as np
import akantu as aka
aka.parseInput("material_static.dat")
dim = 2
mesh = aka.Mesh(dim)
mesh.read("plate_static.msh")
model = aka.CouplerSolidPhaseField(mesh)
solid = model.getSolidMechanicsModel()
phase = model.getPhaseFieldModel()
solid.initFull(_analysis_method=aka._static)
solver = solid.getNonLinearSolver('static')
solver.set('max_iterations', 100)
solver.set('threshold', 1e-9)
solver.set("convergence_type", aka.SolveConvergenceCriteria.solution)
solid.getNewSolver("linear_static", aka.TimeStepSolverType.static,
aka.NonLinearSolverType.linear)
solid.setIntegrationScheme("linear_static", "displacement",
aka.IntegrationSchemeType.pseudo_time)
phase.initFull(_analysis_method=aka._static)
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-4)
solver.set("convergence_type", aka.SolveConvergenceCriteria.solution)
solid.applyBC(aka.FixedValue(0, aka._y), "bottom")
solid.applyBC(aka.FixedValue(0, aka._x), "left")
# Initialization for bulk vizualisation
solid.setBaseName('phasefield-static')
solid.addDumpFieldVector('displacement')
solid.addDumpFieldVector('external_force')
solid.addDumpField('strain')
solid.addDumpField('stress')
solid.addDumpField('damage')
solid.addDumpField('blocked_dofs')
nb_dofs = solid.getMesh().getNbNodes() * dim
increment = solid.getIncrement()
displacement = solid.getDisplacement()
displacement = displacement.reshape(nb_dofs)
blocked_dofs = solid.getBlockedDOFs()
blocked_dofs = blocked_dofs.reshape(nb_dofs)
damage = phase.getDamage()
tolerance = 1e-6
steps = 1500
increment = 1e-5
for n in range(steps):
print("Computing iteration " + str(n + 1) + "/" + str(steps))
solid.applyBC(aka.IncrementValue(increment, aka._y), 'top')
mask = blocked_dofs == False # NOQA: E712
iiter = 0
error_disp = 1
error_dam = 1
displacement_prev = displacement[mask].copy()
damage_prev = damage.copy()
damage_prev = damage_prev
# solve using staggered scheme
while (error_disp > tolerance or error_dam > tolerance):
model.solve("linear_static", "")
displacement_new = displacement[mask]
damage_new = damage
delta_disp = displacement_new - displacement_prev
delta_dam = damage_new - damage_prev
error_disp = np.linalg.norm(delta_disp)
error_dam = np.linalg.norm(delta_dam)
iiter += 1
displacement_prev = displacement_new.copy()
damage_prev = damage_new.copy()
print(error_dam, error_disp)
if iiter > 500:
raise Exception('Convergence not reached')
if n % 50 == 0:
solid.dump()
solid.dump()

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