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materials

plasticity.py
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			#!/usr/bin/env python3
			# @file
			# @section LICENSE
			#
			# Copyright (©) 2016-2020 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 UVWGroupDumper as Dumper
			from tamaas.nonlinear_solvers import DFSANESolver as Solver

			# 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)
			epsolver = Solver(residual, model)

			# Setup for contact
			x = np.linspace(0, system_size[1], discretization[1], endpoint=False)
			y = np.linspace(0, system_size[2], discretization[2], endpoint=False)
			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)

			csolver = tm.PolonskyKeerRey(model, 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()
			print("---> Solved load step {}/{}".format(i+1, len(loads)))

tamaas/examples/plasticity.py7d3736dfcf1ffeatures/materials

plasticity.pyView Options

tamaas/examples/plasticity.py
7d3736dfcf1ffeatures/materials

plasticity.py
View Options