diff --git a/examples/adhesion.py b/examples/adhesion.py index 4c84543..b7ca58f 100644 --- a/examples/adhesion.py +++ b/examples/adhesion.py @@ -1,117 +1,127 @@ #!/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 . import tamaas as tm import matplotlib.pyplot as plt import numpy as np import argparse +from matplotlib.colors import ListedColormap + class AdhesionPython(tm.Functional): """ Functional class that extends a C++ class and implements the virtual methods """ + def __init__(self, rho, gamma): tm.Functional.__init__(self) self.rho = rho self.gamma = gamma def computeF(self, gap, pressure): return -self.gamma * np.sum(np.exp(-gap / self.rho)) def computeGradF(self, gap, gradient): gradient += self.gamma * np.exp(-gap / self.rho) / self.rho parser = argparse.ArgumentParser() parser.add_argument('--local-functional', dest="py_adh", action="store_true", help="use the adhesion functional written in python") args = parser.parse_args() # Surface size n = 1024 # Surface generator sg = tm.SurfaceGeneratorFilter2D() sg.setSizes([n, n]) sg.setRandomSeed(0) # Spectrum spectrum = tm.Isopowerlaw2D() sg.setFilter(spectrum) # Parameters spectrum.q0 = 16 spectrum.q1 = 16 spectrum.q2 = 64 spectrum.hurst = 0.8 # Generating surface surface = sg.buildSurface() # surface /= tm.SurfaceStatistics.computeSpectralRMSSlope(surface) surface /= n # print(spectrum.rmsSlopes()) # print(tm.SurfaceStatistics.computeRMSSlope(surface)) plt.imshow(surface) +plt.title('Rough surface') # Creating model model = tm.ModelFactory.createModel(tm.model_type_basic_2d, [1., 1.], [n, n]) # Solver solver = tm.PolonskyKeerRey(model, surface, 1e-12, tm.PolonskyKeerRey.gap, tm.PolonskyKeerRey.gap) adhesion_params = { "rho": 2e-3, "surface_energy": 2e-5 } # Use the python derived from C++ functional class if args.py_adh: adhesion = AdhesionPython(adhesion_params["rho"], adhesion_params["surface_energy"]) # Use the C++ class else: adhesion = tm.ExponentialAdhesionFunctional(surface) adhesion.setParameters(adhesion_params) solver.addFunctionalTerm(adhesion) # Solve for target pressure g_target = 5e-2 solver.solve(g_target) tractions = model.getTraction() plt.figure() plt.imshow(tractions) plt.colorbar() +plt.title('Contact tractions') plt.figure() zones = np.zeros_like(tractions) tol = 1e-6 zones[tractions > tol] = 1 zones[tractions < -tol] = -1 -plt.imshow(zones, cmap='Greys') +plt.imshow(zones, cmap=ListedColormap(['white', 'gray', 'black'])) +plt.colorbar(ticks=[-2/3, 0, 2/3]).set_ticklabels([ + 'Adhesion', 'No Contact', 'Contact' +]) + +plt.title('Contact and Adhesion Zones') plt.show() diff --git a/examples/rough_contact.py b/examples/rough_contact.py index e6f6329..4cef430 100644 --- a/examples/rough_contact.py +++ b/examples/rough_contact.py @@ -1,70 +1,71 @@ #!/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 . import tamaas as tm import matplotlib.pyplot as plt # Initialize threads and fftw tm.set_log_level(tm.LogLevel.info) # Show progression of solver # Surface size n = 512 # Surface generator sg = tm.SurfaceGeneratorFilter2D() sg.setSizes([n, n]) sg.random_seed = 0 # Spectrum spectrum = tm.Isopowerlaw2D() sg.setFilter(spectrum) # Parameters spectrum.q0 = 16 spectrum.q1 = 16 spectrum.q2 = 64 spectrum.hurst = 0.8 # Generating surface surface = sg.buildSurface() # surface /= tm.SurfaceStatistics.computeSpectralRMSSlope(surface) surface /= n # print(spectrum.rmsSlopes()) # print(tm.SurfaceStatistics.computeRMSSlope(surface)) plt.imshow(surface) # Creating model model = tm.ModelFactory.createModel(tm.model_type_basic_2d, [1., 1.], [n, n]) # Solver solver = tm.PolonskyKeerRey(model, surface, 1e-12, tm.PolonskyKeerRey.pressure, tm.PolonskyKeerRey.pressure) # Solve for target pressure p_target = 0.1 solver.solve(p_target) plt.figure() plt.imshow(model.getTraction()) +plt.title('Contact tractions') print(model.getTraction().mean()) plt.show() diff --git a/examples/saturated.py b/examples/saturated.py index 158203f..e576bde 100644 --- a/examples/saturated.py +++ b/examples/saturated.py @@ -1,65 +1,67 @@ # -*- coding: utf-8 -*- # @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 . import tamaas as tm import numpy as np import matplotlib.pyplot as plt grid_size = 256 load = 1.6 p_sat = 100 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 -= np.max(surface) model = tm.ModelFactory.createModel(tm.model_type.basic_2d, [1., 1.], [grid_size, grid_size]) model.E = 1. model.nu = 0 esolver = tm.PolonskyKeerRey(model, surface, 1e-12, tm.PolonskyKeerRey.pressure, tm.PolonskyKeerRey.pressure) esolver.solve(load) elastic_tractions = model['traction'].copy() plt.imshow(elastic_tractions) +plt.title('Elastic contact tractions') plt.colorbar() model['traction'][:] = 0. solver = tm.KatoSaturated(model, surface, 1e-12, p_sat) solver.setDumpFrequency(1) solver.setMaxIterations(200) solver.solve(load) plt.figure() plt.imshow(model['traction']) +plt.title('Saturated contact tractions') plt.colorbar() plt.show()