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plate.py
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Wed, Dec 11, 20:52

plate.py
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#!/usr/bin/env python3
"""plate.py: Python example: plate with a hole breaking with cohesive
elements"""
__author__ = "Guillaume Anciaux"
__credits__ = [
"Guillaume Anciaux <guillaume.anciaux@epfl.ch>",
]
__copyright__ = "Copyright (©) 2018-2021 EPFL (Ecole Polytechnique Fédérale" \
" de Lausanne) Laboratory (LSMS - Laboratoire de Simulation" \
" en Mécanique des Solides)"
__license__ = "LGPLv3"
import akantu as aka
import numpy as np
def solve(material_file, mesh_file, traction):
aka.parseInput(material_file)
spatial_dimension = 2
# -------------------------------------------------------------------------
# Initialization
# -------------------------------------------------------------------------
mesh = aka.Mesh(spatial_dimension)
mesh.read(mesh_file)
model = aka.SolidMechanicsModelCohesive(mesh)
model.initFull(_analysis_method=aka._static,
_is_extrinsic=True)
model.initNewSolver(aka._explicit_lumped_mass)
model.setBaseName('plate')
model.addDumpFieldVector('displacement')
model.addDumpFieldVector('external_force')
model.addDumpField('strain')
model.addDumpField('stress')
model.addDumpField('blocked_dofs')
model.setBaseNameToDumper('cohesive elements', 'cohesive')
model.addDumpFieldVectorToDumper('cohesive elements', 'displacement')
model.addDumpFieldToDumper('cohesive elements', 'damage')
model.addDumpFieldVectorToDumper('cohesive elements', 'tractions')
model.addDumpFieldVectorToDumper('cohesive elements', 'opening')
# -------------------------------------------------------------------------
# Boundary conditions
# -------------------------------------------------------------------------
model.applyBC(aka.FixedValue(0.0, aka._x), 'XBlocked')
model.applyBC(aka.FixedValue(0.0, aka._y), 'YBlocked')
trac = np.zeros(spatial_dimension)
trac[int(aka._y)] = traction
print('Solve for traction ', traction)
model.getExternalForce()[:] = 0
model.applyBC(aka.FromTraction(trac), 'Traction')
solver = model.getNonLinearSolver('static')
solver.set('max_iterations', 100)
solver.set('threshold', 1e-10)
solver.set("convergence_type", aka.SolveConvergenceCriteria.residual)
model.solveStep('static')
model.dump()
model.dump('cohesive elements')
model.setTimeStep(model.getStableTimeStep()*0.1)
maxsteps = 100
for i in range(0, maxsteps):
print('{0}/{1}'.format(i, maxsteps))
model.checkCohesiveStress()
model.solveStep('explicit_lumped')
if i % 10 == 0:
model.dump()
model.dump('cohesive elements')
# -----------------------------------------------------------------------------
# main
# -----------------------------------------------------------------------------
def main():
mesh_file = 'plate.msh'
material_file = 'material.dat'
traction = .095
solve(material_file, mesh_file, traction)
# -----------------------------------------------------------------------------
if __name__ == '__main__':
main()

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