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tamaas/examples/plasticity.py
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plasticity.py
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#!/usr/bin/env python3
#
# Copyright (©) 2016-2021 EPFL (École Polytechnique Fédérale de Lausanne),
# Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU Affero General Public License as published
# by the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Affero General Public License for more details.
#
# You should have received a copy of the GNU Affero General Public License
# along with this program. If not, see <https://www.gnu.org/licenses/>.
import numpy as np
import tamaas as tm
from tamaas.dumpers import H5Dumper as Dumper
from tamaas.nonlinear_solvers import DFSANECXXSolver as Solver, ToleranceManager
# Definition of modeled domain
model_type = tm.model_type.volume_2d
discretization = [32, 51, 51]
flat_domain = [1, 1]
system_size = [0.5] + flat_domain
# Creation of model
model = tm.ModelFactory.createModel(model_type,
system_size,
discretization)
model.E = 1.
model.nu = 0.3
# Setup for plasticity
residual = tm.ModelFactory.createResidual(model,
sigma_y=0.1 * model.E,
hardening=0.01 * model.E)
# Possibly change integration method
# residual.setIntegrationMethod(tm.integration_method.cutoff, 1e-12)
# Setup non-linear solver with variable tolerance
epsolver = ToleranceManager(1e-5, 1e-9, 1/4)(Solver)(residual)
# Setup for contact
x = np.linspace(0, system_size[1], discretization[1],
endpoint=False, dtype=tm.dtype)
y = np.linspace(0, system_size[2], discretization[2],
endpoint=False, dtype=tm.dtype)
xx, yy = np.meshgrid(x, y, indexing='ij')
R = 0.2
surface = -((xx - flat_domain[0] / 2)**2 +
(yy - flat_domain[1] / 2)**2) / (2 * R)
# Extract local part of the global surface
local_shape = tm.mpi.local_shape(surface.shape)
offset = tm.mpi.local_offset(surface.shape)
local_surface = surface[offset:offset+local_shape[0], :].copy()
csolver = tm.PolonskyKeerRey(model, local_surface, 1e-12,
tm.PolonskyKeerRey.pressure,
tm.PolonskyKeerRey.pressure)
# EPIC setup
epic = tm.EPICSolver(csolver, epsolver, 1e-7)
# Dumper
dumper_helper = Dumper('hertz', 'displacement', 'stress', 'plastic_strain')
model.addDumper(dumper_helper)
loads = np.linspace(0.001, 0.005, 3)
for i, load in enumerate(loads):
epic.acceleratedSolve(load)
model.dump()
tm.Logger().get(tm.LogLevel.info) \
<< "---> Solved load step {}/{}".format(i+1, len(loads))
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