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plate.py
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Tue, May 7, 08:16

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 = 0.095
solve(material_file, mesh_file, traction)
# -----------------------------------------------------------------------------
if __name__ == "__main__":
main()

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