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plate.py
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Sat, Mar 15, 23:22

plate.py
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#!/usr/bin/env python3
__copyright__ = (
"Copyright (©) 2019-2023 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 initialize_model(model):
"""Initialize the model."""
cohesive_selector = aka.MaterialCohesiveRulesSelector(model, {
("Top", "Bottom"): "tough",
("Top", "Top"): "soft",
("Bottom", "Bottom"): "soft",
})
model.setMaterialSelector(cohesive_selector)
model.initFull(_analysis_method=aka._static, _is_extrinsic=True)
model.initNewSolver(aka._explicit_lumped_mass)
def set_dumpers(model):
"""Set the dumpers."""
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")
def do_static_step(model):
"""Do a static step."""
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")
def solve(material_file, mesh_file, traction):
"""Define the main problem."""
aka.parseInput(material_file)
spatial_dimension = 2
# -------------------------------------------------------------------------
# Initialization
# -------------------------------------------------------------------------
mesh = aka.Mesh(spatial_dimension)
mesh.read(mesh_file)
model = aka.SolidMechanicsModelCohesive(mesh)
initialize_model(model)
set_dumpers(model)
# -------------------------------------------------------------------------
# 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")
do_static_step(model)
model.setTimeStep(model.getStableTimeStep() * 0.1)
maxsteps = 1000
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")
# -----------------------------------------------------------------------------
if __name__ == "__main__":
mesh_file = "plate.msh"
material_file = "material.dat"
traction = 0.095
solve(material_file, mesh_file, traction)

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