diff --git a/elastic_contact.ipynb b/elastic_contact.ipynb index a531da2..728a7b9 100644 --- a/elastic_contact.ipynb +++ b/elastic_contact.ipynb @@ -1,480 +1,483 @@ { "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy\n", "import matplotlib.pyplot as plt\n", "import tamaas\n", "\n", "from numpy import pi\n", "from IPython.display import display, Latex" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from tamaas.dumpers import NumpyDumper" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "plt.rc('figure', dpi=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Elastic Contact with Periodic Surface\n", "\n", + "*Before you begin: if you've downloaded this notebook, make sure you have the dependencies installed. `python3 -m pip install --user -r requirements.txt` should set you up nicely.*\n", + "\n", + "\n", "In this notebook, we'll see how to setup an elastic contact simulation with Tamaas. We'll start with generating a 2D sinusoidal surface:\n", "\n", "$$ h(x, y) = \\sin\\left(2\\pi \\frac{x}{L}\\right)\\sin\\left(2\\pi \\frac{y}{L}\\right) $$\n", "\n", "Here, the period $L$ describes the physical size of the domain. Let's start with generating the coordinate space with as Numpy arrays." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "L = 1. # physical size of the domain (often convenient to set to 1)\n", "N = 256 # number of points in each direction\n", "\n", "x = numpy.linspace(0, L, N, endpoint=False)\n", "y = numpy.linspace(0, L, N, endpoint=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that we have asked Numpy to generate a coordinate space without the value $L$ (the end of the interval). This is due to how periodicity is handled in Tamaas (and in fast-Fourier transform libraries in general: periodic images are not stored.\n", "\n", "We now create our surface array." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "xx, yy = numpy.meshgrid(x, y, indexing='ij') # Creates a cartesian coordinate space\n", "\n", "surface = numpy.sin(2 * pi * (xx / L)) * numpy.sin(2 * pi * (yy / L))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot our surface." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "image = ax.imshow(surface, extent=(0, L, 0, L), origin='lower')\n", "\n", "ax.set_xlabel('$x$ [$L$]')\n", "ax.set_ylabel('$y$ [$L$]')\n", "\n", "fig.colorbar(image).set_label('$h(x, y)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting up the model\n", "\n", "Now that we have a contact surface, let us create the model. For this we use the `tamaas.ModelFactory.createModel()` function. We have to give it the model type, which in our example is `tamaas.model_type.basic_2d`, which means that the model will only have normal pressure and normal displacement degrees of freedom, and that we only care about surface displacements.\n", "\n", "We also have to supply the extent of the domain for the model, and the number of points in each direction." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model (E = 1, nu = 0.3)\n", " - domain = [1, 1]\n", " - discretization = [256, 256]\n", " - registered fields = [displacement, traction]\n", " - registered operators = [von_mises, deviatoric, hooke, eigenvalues]\n" ] } ], "source": [ "model = tamaas.ModelFactory.createModel(tamaas.model_type.basic_2d, [L, L], [N, N])\n", "\n", "model.E = 1. # Young's modulus\n", "model.nu = 0.3 # Poisson's coefficient\n", "\n", "print(model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you might notice above, we set $E = 1$. There is no unit management in Tamaas. Whichever unit you choose to assign to $E$ will be the unit of all pressure quantities.\n", "\n", "## Setting up the solver\n", "\n", "Finally, we have to set up the contact solver. For normal, elastic contact, the best class for the job is `tamaas.PolonskyKeerRey`. It is quite flexible in its architecture and can handle custom terms to the function it is trying to minimize. This is very handy for adhesive contact, where one may wish to change the adhesive potential. However, for the puroses of this tutorial, we'll stick with the default options of the solver, which are perfect for contact without adhesion." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "tolerance = 1e-14 # solver tolerance, usually 1e-14 to 1e-12 for adhesion-less contact\n", "solver = tamaas.PolonskyKeerRey(model, surface, tolerance)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Computing contact solutions\n", "\n", "Finally, we can compute contact solutions with the `solve()` method of the solver, which takes an applied normal pressure (by default) as parameter. The contact solution is solved with this pressure as the target mean pressure (i.e. a form of Neumann boundary condition)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " Iter Cost_f Error\n", " 0 -2.985050e-06 1.371150e-05\n" ] }, { "data": { "text/plain": [ "8.841009777872276e-15" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P = 0.6\n", "solver.solve(P)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may see above an informative output of the solver in red. This is useful if one wishes to track the progress of the solver, but can be turned off with `tamaas.set_log_level(tamaas.LogLevel.Warning)`, which would only output warning messages." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting results\n", "\n", "We can now access the contact solution with the `model` object. The properties `model.displacement` and `model.traction` are self explanatory." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "# Plotting pressure\n", "image = axs[0].imshow(model.traction / (model.E / (1 - model.nu**2)), extent=(0, L, 0, L), \n", " origin='lower', cmap='magma_r')\n", "fig.colorbar(image, ax=axs[0]).set_label(r'$p$ $\\left[\\frac{E}{1-\\nu^2}\\right]$')\n", "axs[0].set_title('Pressure')\n", "\n", "# Plotting displacement\n", "image = axs[1].imshow(model.displacement / L, extent=(0, L, 0, L), origin='lower', cmap='viridis_r')\n", "fig.colorbar(image, ax=axs[1]).set_label(r'$u$ [$L$]')\n", "axs[1].set_title('Displacement')\n", "\n", "for ax in axs:\n", " ax.set_xlabel('$x$ [$L$]')\n", " ax.set_ylabel('$y$ [$L$]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The objects `model.traction` and `model.displacement` are just Numpy arrays and can be easily manipulated. For example, we can verify our average applied pressure to check if it corresponds to what we set." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "We set $P = 0.6$, and we got $\\bar{p} = 0.6$!" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean_pressure = numpy.mean(model.traction)\n", "\n", "display(Latex('We set $P = {:.1f}$, and we got $\\\\bar{{p}} = {:.1f}$!'.format(P, mean_pressure)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Saving results\n", "\n", "To save a model, the simplest method is to use a dumper from the `tamaas.dumpers` module. Some dumpers in there require external dependencies other than Numpy, but they dump to files which can be used by other applications. Let's keep it simple for now and dump our model to a Numpy formated file. We first need to create the dumper." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "dumper = NumpyDumper('my_model_dump', all_fields=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When calling the constructor to a dumper, we can either give the names of the fields we wish to include in the files or supply `all_fields=True` to dump every field in the model (here the displacements, tractions and the gap, i.e. the surface separation). Now we can write the files very simply." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "dumper << model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calling a dumper with a model automatically creates a folder that will contain the dump files. Each subsequent dump (with the same dumper) creates a new, numbered file. We can use several dumpers for the same model." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# Register the dumpers with the model\n", "model.addDumper(dumper) # repeat with other dumpers\n", "\n", "# Calls each registered dumper in succession\n", "model.dump()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You should now see two Numpy dumps. At any time, you can inspect the model to see the dumpers that are registered with it." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model (E = 1, nu = 0.3)\n", " - domain = [1, 1]\n", " - discretization = [256, 256]\n", " - registered fields = [gap, traction, displacement]\n", " - registered operators = [westergaard_neumann, Westergaard::neumann, von_mises, deviatoric, hooke, eigenvalues]\n", " - 1 registered dumpers\n" ] } ], "source": [ "print(model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fields\n", "\n", "Finally, you may have noticed that our model has a field, the `gap`, which was not registered at the time we created the model. This field is automatically created by the solver and registered with the model. Since it is not a default field, there are no properties to access it, but the model provides a `[]` operator, like a Python dictionary, just for this situation. Let's plot the gap." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$y$ [$L$]')" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "image = ax.imshow(model['gap'] / L, extent=(0, L, 0, L), origin='lower')\n", "fig.colorbar(image).set_label('g [L]')\n", "\n", "ax.set_xlabel('$x$ [$L$]')\n", "ax.set_ylabel('$y$ [$L$]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Any field registered in the model can be accessed with `model['field_name']`. You can also register your own fields, just like a Python dictionary. To conclude this tutorial, let's register the surface we have created." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model (E = 1, nu = 0.3)\n", " - domain = [1, 1]\n", " - discretization = [256, 256]\n", " - registered fields = [surface, gap, traction, displacement]\n", " - registered operators = [westergaard_neumann, Westergaard::neumann, von_mises, deviatoric, hooke, eigenvalues]\n", " - 1 registered dumpers\n" ] } ], "source": [ "model['surface'] = surface\n", "\n", "print(model)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }