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tamaas/tests/test_hertz_kato.py
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test_hertz_kato.py
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# -*- coding: utf-8 -*-
#
# 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/>.
from __future__ import division, print_function
import numpy as np
import tamaas as tm
import pytest
from numpy.linalg import norm
@pytest.fixture(scope="module")
def kato(hertz_coarse):
hertz = hertz_coarse
model = tm.ModelFactory.createModel(tm.model_type.basic_2d,
[hertz.domain_size, hertz.domain_size],
[hertz.n, hertz.n])
model.E, model.nu = hertz.e_star, 0
solver = tm.KatoSaturated(model, hertz.surface, 1e-12, 1e30)
solver.max_iter = 10000
solver.solve(hertz.load)
return model, hertz
def test_contact_area(kato):
# Testing contact area against Hertz solution for solids of revolution
model, hertz = kato
contact_area = np.sum(model['traction'] > 0) / float(hertz.n**2)
hertz_area = np.sum(hertz.pressure > 0) / float(hertz.n**2)
area_error = np.abs(hertz_area - contact_area) / hertz_area
assert area_error < 1e-2
def test_pressure(kato):
model, hertz = kato
error = norm(model['traction'] - hertz.pressure) / norm(hertz.pressure)
assert error < 5e-3
def test_displacement(kato):
model, hertz = kato
error = norm(model['displacement'] - hertz.displacement)\
/ norm(hertz.displacement)
assert error < 2e-2
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