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rough_contact.py
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Thu, Jul 17, 20:31

rough_contact.py
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#!/usr/bin/env python3
#
# Copyright (©) 2016-2025 EPFL (École Polytechnique Fédérale de Lausanne),
# Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
# Copyright (©) 2020-2025 Lucas Frérot
#
# 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 tamaas as tm
import matplotlib.pyplot as plt
from tamaas.utils import publications
# Initialize threads and fftw
tm.set_log_level(tm.LogLevel.info) # Show progression of solver
# Surface size
n = 512
# Surface generator
sg = tm.SurfaceGeneratorFilter2D([n, n])
sg.random_seed = 1
# Spectrum
sg.spectrum = tm.Isopowerlaw2D()
# Parameters
sg.spectrum.q0 = 16
sg.spectrum.q1 = 16
sg.spectrum.q2 = 64
sg.spectrum.hurst = 0.8
# Generating surface
surface = sg.buildSurface()
surface /= tm.Statistics2D.computeSpectralRMSSlope(surface)
# Creating model
model = tm.ModelFactory.createModel(tm.model_type.basic_2d, [1.0, 1.0], [n, n])
# Solver
solver = tm.PolonskyKeerRey(model, surface, 1e-11)
# Solve for target pressure
p_target = 0.1
solver.solve(p_target)
fig, axs = plt.subplots(1, 2, figsize=(12, 4))
axs[0].imshow(surface)
axs[0].set_title("Rough surface")
axs[1].imshow(model.traction)
axs[1].set_title("Contact tractions")
print(model.traction.mean())
fig.tight_layout()
plt.show()
publications()

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