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tamaas/tests/test_saturated_pressure.py
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test_saturated_pressure.py
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# -*- coding: utf-8 -*-
# @file
# @section LICENSE
#
# Copyright (©) 2016-19 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 print_function, division
import numpy as np
import tamaas as tm
def test_saturated_pressure(tamaas_fixture):
grid_size = 256
load = 0.06
p_sat = 0.4
iso = tm.Isopowerlaw2D()
iso.q0 = 4
iso.q1 = 4
iso.q2 = 16
iso.hurst = 0.8
sg = tm.SurfaceGeneratorFilter2D()
sg.random_seed = 2
sg.setSizes([grid_size, grid_size])
sg.setSpectrum(iso)
surface = sg.buildSurface()
surface *= 0.01 / iso.rmsHeights()
surface -= np.max(surface)
model = tm.ModelFactory.createModel(tm.model_type.basic_2d,
[1., 1.], [grid_size, grid_size])
model.E = 1.
model.nu = 0
solver = tm.KatoSaturated(model, surface, 1e-12, p_sat)
solver.setMaxIterations(6000)
assert solver.solve(load) < 1e-12
tractions = model['traction']
mean_pressure_error = abs(np.mean(tractions)-load)/load
max_pressure_error = np.max(tractions)-p_sat
gaps = model['gap']
gaps[np.where(tractions == p_sat)] = 0.
press = tractions
orthogonality_error = np.max(press*gaps) / (press.max() * gaps.max())
assert mean_pressure_error < 1e-12 and max_pressure_error < 1e-12 and \
orthogonality_error < 4e-8
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