diff --git a/Correction_2.ipynb b/Correction_2.ipynb new file mode 100644 index 0000000..e5beae1 --- /dev/null +++ b/Correction_2.ipynb @@ -0,0 +1,880 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "17e4b0c9-8fc8-4f4f-b41f-0b05c5ee22e5", + "metadata": {}, + "source": [ + "### Setup" + ] + }, + { + "cell_type": "markdown", + "id": "c94a66b1-aec1-4f79-a441-7002e03b8def", + "metadata": {}, + "source": [ + "We will use `tamaas` for generating rough surfaces and solving contact problems. First of all, it must be installed.\n", + "\n", + "Clic on the code cell bellow and press `shift+enter` to run it." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "c40230b1-52a3-482f-b9d2-d8fbd8a55360", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Collecting tamaas==2.3.0.post1\n", + " Using cached tamaas-2.3.0.post1-cp38-none-manylinux2010_x86_64.manylinux_2_12_x86_64.whl (1.3 MB)\n", + "Requirement already satisfied: numpy in /usr/local/lib/python3.8/dist-packages (from tamaas==2.3.0.post1) (1.21.2)\n", + "Installing collected packages: tamaas\n", + "Successfully installed tamaas-2.3.0.post1\n" + ] + } + ], + "source": [ + "!pip install --user --no-warn-script-location tamaas==2.3.0.post1" + ] + }, + { + "cell_type": "markdown", + "id": "af1767b8-e5de-42aa-adb9-44c31279ad99", + "metadata": {}, + "source": [ + "When the installation is finished ('`Successfully installed ...`'), restart the Python kernel from the menu: `Kernel > Restart`." + ] + }, + { + "cell_type": "markdown", + "id": "b9a9a851-94d7-454c-be68-96ad35c2d0f2", + "metadata": {}, + "source": [ + "Next, we import some Python libraries. `numpy` to work with arrays of numbers, `matplotlib` for plotting, and `tamaas`. Run the cell bellow." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "12ef8dc7-8413-4842-8938-f76a977732d8", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "from mpl_toolkits.mplot3d import Axes3D # to make 3d plots\n", + "import tamaas as tm\n", + "tm.initialize()" + ] + }, + { + "cell_type": "markdown", + "id": "4fdb80fa-43ad-43e9-8f6a-947977dba487", + "metadata": {}, + "source": [ + "# Generation of rough surfaces" + ] + }, + { + "cell_type": "markdown", + "id": "8d4ab560-e4ad-4fda-a78b-70e2de654f3d", + "metadata": {}, + "source": [ + "Tamaas is capable of generating fractal rough surfaces, called **self-affine** surfaces. These surfaces are characterised by the shape of their power spectral density (PSD), which is linked to the spatial Fourier transform. The PSD of a rough surface indicates how present are undulations of short or large wavelenghts.\n", + "\n", + "The PSD of a self-affine surface is a power-law (a line in a logarithmic plot) inside a range of spatial frequencies. We can control the values of the **smallest and largest wavelengths**. The slope of the PSD is influenced by the **Hurst exponent** $H$. Finally, the heights can be scaled to match a certain magnitude, for example quantified by the **root mean square** of the height distribution.\n", + "\n", + "Play with the parameters below and see how they influence the final rough surface." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "1960d707-de86-468c-b867-2578d9f53288", + "metadata": {}, + "outputs": [], + "source": [ + "# PLAY WITH THESE PARAMETERS ###################################################\n", + "L = 1 # side length\n", + "n = 128 # number of points (discretization)\n", + "\n", + "l_smallest = L / 64 # smallest wavelength (not smaller than L/n)\n", + "l_largest = L / 2 # largest wavelength\n", + "h_RMS = 0.02 # \"average\" height\n", + "Hurst = 0.8 # Hurst exponent (0 ≤ H ≤ 1)\n", + "seed = 1 # change this value to generate other surfaces with identical properties\n", + "################################################################################" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "df672cb1-776a-4e2f-8007-611def4c0bac", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create PSD object\n", + "spectrum = tm.Isopowerlaw2D()\n", + "\n", + "# Set spectrum parameters\n", + "spectrum.q0 = round(L / l_largest) # round: must be integers\n", + "spectrum.q1 = round(L / l_largest) # q1 is the \"roll-off\" frequency, usually equal to q0\n", + "spectrum.q2 = round(L / l_smallest)\n", + "spectrum.hurst = Hurst\n", + "\n", + "# Create surface generator\n", + "generator = tm.SurfaceGeneratorFilter2D([n, n])\n", + "generator.spectrum = spectrum\n", + "generator.random_seed = seed\n", + "\n", + "# Generate surface\n", + "h = generator.buildSurface()\n", + "h *= h_RMS / tm.Statistics2D.computeRMSHeights(h)\n", + "\n", + "\n", + "# Plot\n", + "x = np.linspace(-L/2, L/2, n)\n", + "y = x.copy()\n", + "x, y = np.meshgrid(x, y, indexing=\"ij\")\n", + "\n", + "fig = plt.figure(figsize=(5, 5), dpi=150)\n", + "ax = fig.add_subplot(111, projection=\"3d\")\n", + "surf = ax.plot_surface(x, y, h, rstride=1, cstride=1, cmap=plt.cm.inferno)\n", + "\n", + "z_ratio = 0.2\n", + "ax.set_zlim([-L/2 * z_ratio, L/2 * z_ratio])\n", + "ax.set_box_aspect([1, 1, z_ratio])\n", + "plt.locator_params(axis=\"z\", nbins=2) # reduce number of ticks on z axis\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ca664fdb-ee5b-4a8c-bafa-95e6771fd2cc", + "metadata": {}, + "source": [ + "# Solving a Hertzian contact" + ] + }, + { + "cell_type": "markdown", + "id": "580921ca-ce4b-48d0-88fc-a53c7bfa1107", + "metadata": {}, + "source": [ + "## Definition and solving" + ] + }, + { + "cell_type": "markdown", + "id": "69e95c09-0f32-425a-86ea-07bbaa8aebef", + "metadata": {}, + "source": [ + "One simple case of Hertz contact is the contact between a sphere and a flat surface. Tamaas is made for solving the contact between a **rigid surface** having a given shape (near to flat) and a **flat elastic surface**, knowing the total applied normal load." + ] + }, + { + "cell_type": "markdown", + "id": "e0b81529-7afc-4faf-8d8b-20c3f7c60f44", + "metadata": {}, + "source": [ + "### Geometry" + ] + }, + { + "cell_type": "markdown", + "id": "130cc0bc-f4e5-4d0b-8e61-8c7351604df4", + "metadata": {}, + "source": [ + "Start by defining the geometry of the rigid surface, which must be a sphere." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "ccba9013-0391-480a-ae39-d618b1a34454", + "metadata": {}, + "outputs": [], + "source": [ + "# CHANGE THESE VALUES ##########################################################\n", + "L = 1 # side length\n", + "n = 128 # number of points (discretization)\n", + "R = 10 # rigid indenter radius\n", + "################################################################################\n", + "\n", + "x = np.linspace(-L/2, L/2, n)\n", + "y = x.copy()\n", + "x, y = np.meshgrid(x, y, indexing=\"ij\")\n", + "\n", + "\n", + "def create_indenter(x, y, R): # DEFINE SPHERICAL SURFACE #######################\n", + " r = np.sqrt(x**2 + y**2)\n", + " h = np.sqrt(R**2 - r**2)\n", + " return h\n", + "\n", + "h = create_indenter(x, y, R)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "10b70cf7-ec28-4f45-b8fa-27387892e38f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot\n", + "fig = plt.figure(figsize=(5, 5), dpi=150)\n", + "ax = fig.add_subplot(111, projection=\"3d\")\n", + "surf = ax.plot_surface(x, y, h, rstride=1, cstride=1, cmap=plt.cm.inferno)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "17733385-28c3-4929-aee6-0df3f5d6f279", + "metadata": {}, + "source": [ + "### Physical parameters" + ] + }, + { + "cell_type": "markdown", + "id": "2a4b9eef-1d00-40c1-a556-c8e82ef9522b", + "metadata": {}, + "source": [ + "Then, we define the material parameters and the normal load applied by the rigid sphere." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "ce342c8c-6213-45e2-a7c2-2a3c01f53e4a", + "metadata": {}, + "outputs": [], + "source": [ + "E = 1.0 # Young's modulus\n", + "nu = 0.3 # Poisson's ratio\n", + "F = 1e-4 # Normal load # CHANGE THIS VALUE ##################################" + ] + }, + { + "cell_type": "markdown", + "id": "7e6da2e6-6b62-48a4-852d-7f0ea8a503fd", + "metadata": {}, + "source": [ + "### Tamaas model and solver" + ] + }, + { + "cell_type": "markdown", + "id": "bf357417-7c81-4a3b-aa37-c168cfcd16cb", + "metadata": {}, + "source": [ + "In Tamaas, we must define a **model** and a **solver**." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "bcc86ebc-4b78-459f-9667-151990030d63", + "metadata": {}, + "outputs": [], + "source": [ + "model = tm.ModelFactory.createModel(tm.model_type.basic_2d, [L, L], [n, n])\n", + "model.E = E\n", + "model.nu = nu" + ] + }, + { + "cell_type": "markdown", + "id": "386442ba-12ca-4fab-8622-f6b8ec37a94a", + "metadata": {}, + "source": [ + "We create variables to access the displacements and the tractions at the surface:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "c4af11d9-007c-4d99-91bd-e143319c01b2", + "metadata": {}, + "outputs": [], + "source": [ + "u = model.displacement\n", + "p = model.traction" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "7e8e084d-f442-42bf-8564-e21cefb99f57", + "metadata": {}, + "outputs": [], + "source": [ + "solver = tm.PolonskyKeerRey(model, h, 1e-12)" + ] + }, + { + "cell_type": "markdown", + "id": "b057fc64-a939-4eb0-915e-a72fa7c263cf", + "metadata": {}, + "source": [ + "The creation of the solver takes three arguments: a model, the shape of the indenter, and a numerical accuracy for the solve." + ] + }, + { + "cell_type": "markdown", + "id": "2cf8c5f5-84a1-4072-9379-da3e1360b288", + "metadata": {}, + "source": [ + "### Solve" + ] + }, + { + "cell_type": "markdown", + "id": "8d9e028f-37cc-4f34-8641-68dbd797cf9e", + "metadata": {}, + "source": [ + "The solver needs an **average pressure**, obtained from the normal load and the total area of the system." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "1ac2ba4b-4ca3-449a-80d4-c56e56a636b6", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " Iter Cost_f Error\n", + " 0 -6.100923e-08 3.224148e-05\n" + ] + }, + { + "data": { + "text/plain": [ + "9.776983304698867e-13" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "solver.solve(F / (L**2))" + ] + }, + { + "cell_type": "markdown", + "id": "5265926a-4b28-4f03-9465-8d16de1b56f3", + "metadata": {}, + "source": [ + "We can plot the displacements to see that the elastic surface matches the shape of the sphere." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "ae0e5655-16ca-4e5f-b99a-2b34392a942e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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fPkyVKlWYMGECOXkvh7qRFhSV7Rlj+Pzzz6lcuTIHDhxg0aJFzJkzh3z59Jkit0tEeP3119m3bx916tTh7bffplGjRly4cMHqaCoL0IKisrWYmBhat25N69atqVy5Mrt376Z58+ZWx3J799xzD9988w1hYWGsWLGCqlWrsn37dqtjKYtpQVHZ1tGjR3nyyScJDw9n2LBh/PTTT/pQNQcSEXr06MHGjRsxxvDUU08xceJE3QWWg2lBUdnSqlWrCA4O5vjx46xYsYLBgwfr6cBOUr16dX755Rfq1q1Ljx49aNGiBXFxcVbHUhbQgqKyFWMMo0ePpl69ehQvXpyIiAjq1q1rdaxsLyAggG+++YaRI0eyaNEi/vOf/3D69OmMG6psRQuKyjauXr1Ky5Yt6d+/P02bNmXz5s088IA+78NVPDw86N+/P0uXLmX//v1Uq1aNnTt3Wh1LuZAWFJUtXLhwgRdeeIGFCxcyYsQIvvjiC/LmzWt1rBzp5ZdfZtOmTXh4ePD000+zZMkSqyMpF9GCotzeH3/8wVNPPcXmzZsJDw9nwIABeoGpxR599FG2bdvGI488QuPGjRk/frzVkZQLaEFRbm3nzp08/vjjnDp1ilWrVtGiRQurIym7e+65h3Xr1tGsWTP69OlD//799QywbE5vxqPc1urVq3n11VcpWLAgq1ev5uGHH7Y6kkrDx8eHhQsXEhgYyOjRozl37hxTp07V+4BlU/pbVW5p2bJlNG3alIceeoiVK1fqvbiyME9PTz799FMKFy7MBx98wPnz51mwYAE+Pj5WR1MOpru8lNtZvHgxjRs3plKlSqxbt06LiRsQEYYNG8aECRNYsmQJL730EpcvX7Y6lnIwLSjKrXz++ee8/vrr1KhRg9WrVxMQEGB1JHUbevbsyeeff87PP/+sRSUb0oKi3Mb06dNp06YNtWrV4ocffiB//vxWR1J3oFWrVixcuJDNmzdrUclmLCkoItJTRPaKyD4R6ZXO+IIiskREdovINhGpmFFbEaksIltEJFJEIkSkumt6o1xh2rRpdOrUiXr16vHdd9/pNSZurlmzZlpUsiPb075c9wVUBPYCebCdFLAaKJNmmrHAUPvrcsCajNoCq4B69tcvAesyyvLYY48ZlfXNmzfPiIipX7++uXr1qtVxlAN9+eWXxtPT0zz99NPm8uXLVsdRmQREmHQ+U63YQikPbDXGxBpjEoH1QOM001QA1gIYYw4CpUSkSAZtDXD9ARf5gVPO7YZyhcWLF9O2bVuee+45vvrqK3LlymV1JOVAzZo1Y8GCBSlbKjExMVZHUnfBioKyF6gpIoEikgfb1kSJNNPswl4o7Luu7gOKZ9C2FzBWRE4A44AB6S1cRDrad4lFnD171rE9Uw713Xff0aJFC5544gm++eYbPc00m2revDkLFixg06ZNNG3alGvXrlkdSd0hlxcUY8wBYDS2XVQrgUggKc1ko4ACIhIJdAd2AkkZtH0LeNsYUwJ4G5h1k+VPN8YEG2OCCxcu7LiOKYdavXo1TZs2pXLlyixfvlyPmWRzzZs3Z9q0aaxcuZI333yT5ORkqyOpO2DJhY3GmFnYP/BFZAQQlWb8JaCtfbwAvwNHM2jbBuhpf70YmOnUTiin2bZtG6+88gply5bVs7lykA4dOhAdHU3//v0JCAhg4sSJek82N2NJQRGRIGPMXyJSEtuurcfTjC8AxBpjrgEdgJ/tReZWbU8B/wHWAc8Bh13RF+VYR44coX79+hQpUoRVq1bpdSY5zLvvvsu5c+cYN24chQoV4r333rM6kroNVt165WsRCQQSgK7GmL9FpDOAMWYqtoPv80TEAPuA9rdqax8eAoSJiBcQD3R0TVeUo/z111+8+OKLGGNYuXIl99xzj9WRlIuJCGPGjOH8+fO8//77BAYG0r17d6tjqUyyapdXzXSGTU31ejNQNrNt7cM3Ao85KqNyrZiYGBo0aMCpU6dYu3YtZcum++tXOYCIMG3aNM6fP0/Pnj0pUaIEjRo1sjqWygS9Ul5ZLjExkebNm7Njxw4WLVrE448/nnEjla15eXmxYMECqlWrRsuWLYmIiLA6ksoELSjKUsYY3nrrLb7//numTJlCw4YNrY6ksghfX1++/fZbChcuTMOGDTl+/LjVkVQGtKAoS02YMIGZM2cSGhpKx4562EvdqEiRInz//ffExsZSv359Ll26ZHUkdQtaUJRlVqxYQZ8+fWjSpAkffPCB1XFUFlWhQgW+/vprDh48SPPmzUlMTLQ6kroJLSjKEgcOHOD111+nUqVKzJs3Dw8P/VNUN/f8888zZcoUfvjhB3r27JlxA2UJfWKjcrno6GgaNmyIr68v33zzjV4FrzKlQ4cO/Prrr4wbN46qVavSvn37jBspl9LVQuVSCQkJNG/enBMnTrBkyRJKlixpdSTlRkaNGkWdOnXo0qULW7ZssTqOSkMLinKp3r17s3btWmbMmMETTzxhdRzlZjw9Pfniiy8oVqwYTZo04c8//7Q6kkpFC4pymfDwcCZNmkTv3r1p3bq11XGUmwoICGDp0qX8/fffenfiLEYLinKJPXv2EBISwjPPPMPo0aOtjqPcXKVKlZgzZw6bNm3Sg/RZiB6UV0538eJFmjRpQv78+fniiy/w8tI/O3X3mjdvzi+//MLo0aMJDg7Wg/RZgG6hKKcyxtC2bVuOHj3Kl19+SdGiRa2OpLKR4cOH8/zzz9OtWzd2795tdZwcTwuKcqpx48axZMkSxowZQ82a6d7XU6k75unpyfz58ylQoADNmjXj8uXLVkfK0bSgKKdZv349/fv3p2nTprz99ttWx1HZVJEiRVi4cCFHjhyhc+fOGGOsjpRjaUFRTnHu3DlatGjBAw88wOzZs/XJe8qpatWqxfvvv8+CBQuYMWOG1XFyLC0oyuGMMbRr145z586xaNEi/P39rY6kcoDQ0FDq1KlDjx492LVrl9VxciQtKMrhJk2axLJlyxgzZgxVqlSxOo7KITw8PJg/fz6BgYF6PMUiWlCUQ0VGRtKnTx/q169Pjx49rI6jcpigoCAWLlzIb7/9pn9/FtCCohwmJiaG119/ncDAQObMmaPHTZQlnnnmGUJDQ5k7dy6LFy+2Ok6OogVFOUyPHj04dOgQ4eHhFC5c2Oo4KgcbMmQI1atXp2PHjpw4ccLqODmGFhTlEF999RWzZ88mNDSUZ5991uo4Kofz9vYmPDychIQE2rRpQ3JystWRcgQtKOqunT59ms6dO1OtWjWGDh1qdRylAChTpgxhYWH89NNPjB8/3uo4OYIlBUVEeorIXhHZJyK90hlfUESWiMhuEdkmIhUz01ZEuovIQfu4Mc7viTLGEBISQkxMDJ999hne3t5WR1IqRbt27WjcuDEDBw7kl19+sTpOtufygmIvDiFAdeBRoIGIlEkzWSgQaYypBLQGwjJqKyLPAq8AjxpjHgbGuaA7Od7MmTNZvnw5o0ePply5clbHUeoGIsL06dMpXLgwLVu2JC4uzupI2ZoVWyjlga3GmFhjTCKwHmicZpoKwFoAY8xBoJSIFMmg7VvAKGPMVXu7v5zflZzt6NGjvP3229SuXZtu3bpZHUepdAUGBjJ37lwOHjzI4MGDrY6TrVlRUPYCNUUkUETyAC8BJdJMswt7oRCR6sB9QPEM2pa1j9sqIutFpFp6CxeRjiISISIRZ8+edXjncoqkpCTatGmDl5cXc+bMwcNDD8eprKtOnTp07tyZjz76iE2bNlkdJ9ty+aeAMeYAMBpYBawEIoGkNJONAgqISCTQHdgJJGXQ1gsIAB4H+gJfSjoXQhhjphtjgo0xwXpq650bP348GzduZOLEiZQokXZ9QKmsZ8yYMZQsWZK2bdsSGxtrdZxsyZLVSmPMLGPMY8aYZ4ALwKE04y8ZY9oaYypjO4ZSGDiaQdso4H/GZhuQDBRyTY9ylv379zN48GAaN25Mq1atrI6jVKb4+/sze/ZsDh8+zMCBA62Oky1ZdZZXkP17SWy7thakGV9ARHLZ33YAfjbGXMqg7VLgWfu4skAu4JxTO5IDJSUl0b59e/z9/ZkyZYpeDa/cynPPPUeXLl0ICwtjw4YNVsfJdqx6FuvXIhIIJABdjTF/i0hnAGPMVGwH3+eJiAH2Ae1v1dY+fDYwW0T2AteANkYfjOBwEydOZMuWLcyfP5+goCCr4yh120aPHs2KFSto164dkZGR5M2b1+pI2Ybk5M/c4OBgExERYXUMt3H06FEeeeQRnn32WZYtW6ZbJ8ptrVu3jmeffZYePXoQFhZmdRy3IyI7jDHBaYfrqTkqU65fwOjl5cXUqVO1mCi3VqtWLbp165ayxa0cQwuKypSZM2eydu1axo4dS/Hixa2Oo9RdGzFiBMWKFSMkJIRr165ZHSdb0IKiMhQVFUWfPn149tlnCQkJsTqOUg7h7+/Pp59+yt69exk3Tm+s4QhaUNQtGWPo0qULCQkJzJgxQ3d1qWylYcOGNGvWjGHDhnHo0KGMG6hb0oKibmnp0qUsW7aMYcOG8cADD1gdRymHCwsLw8fHh06dOpGTT1JyBC0o6qYuX75Mjx49ePTRR+nVq5fVcZRyiqJFizJ27FjWrVvHnDlzrI7j1rSgqJsaOnQoJ0+eZOrUqXh5WXXJklLO1759e2rWrEmfPn04c+aM1XHclhYUla6dO3cSFhZGp06dePzxx62Oo5RTeXh4MH36dGJiYnj77betjuO2tKCof0lKSqJz584UKlSIESNGWB1HKZcoV64c/fv3Z+HChfz0009Wx3FLWlDUv0yfPp1t27bx0UcfUbBgQavjKOUy/fv3p3Tp0nTt2lWvTbkDWlDUDf78808GDBhA7dq1adGihdVxlHIpX19fPvnkEw4cOKC3ZLkDWlDUDfr27UtcXByffvqpXnOicqQGDRrQsGFD3n//faKioqyO41a0oKgUmzZtYv78+bz77ruULVvW6jhKWSYsLIykpCR69+5tdRS3ogVFAbYD8d26daNEiRIMGDDA6jhKWap06dKEhoayePFiVq1aZXUct6EFRQEwY8YMIiMjGTduHHny5LE6jlKW69u3L2XKlKF79+5cvXrV6jhuQQuKIjo6moEDB/Lss8/SrFkzq+MolSX4+PgwceJEDh06xMcff2x1HLegBUUxePBgLl68yCeffKIH4pVK5cUXX+Tll19m+PDhnD592uo4WZ4WlBwuMjKSadOm0bVrVypWrGh1HKWynPHjx3P16lVCQ0OtjpLlaUHJwYwxdO/enYCAAN5//32r4yiVJZUpU4ZevXoxd+5c9JHht6YFJQf74osv2LhxIyNHjqRAgQJWx1Eqyxo0aBBBQUH06tVLb3F/C1pQcqi4uDj69+9PlSpVaNeundVxlMrS8uXLx/Dhw9m0aROLFi2yOk6WpQUlh5owYQLHjx/no48+wsND/wyUykjbtm2pUqUK7777LrGxsVbHyZL0kyQHOnPmDCNGjKBRo0bUqlXL6jhKuQVPT0/CwsI4ceIEY8eOtTpOlmRJQRGRniKyV0T2iUivdMYXFJElIrJbRLaJSMXbaPuOiBgRKeTcXrivoUOHEh8fz+jRo62OopRbqVmzJs2aNWP06NGcOHHC6jhZjssLir04hADVgUeBBiJSJs1koUCkMaYS0BoIy0xbESkBvAAcd3Y/3NXevXuZMWMGXbt21ft1KXUHxowZQ1JSEkOGDLE6SpZjxRZKeWCrMSbWGJMIrAcap5mmArAWwBhzECglIkUy0fZj4F1AT8O4iT59+pA/f379Z1DqDpUqVYoePXowb948du3aZXWcLMWKgrIXqCkigSKSB3gJKJFmml3YC4WIVAfuA4rfqq2IvAKcNMbc8jcsIh1FJEJEIs6ePevIfmV5K1eu5IcffmDIkCEEBARYHUcptxUaGkqBAgXo16+f1VGyFJcXFGPMAWA0sApYCUQCSWkmGwUUEJFIoDuwE0i6WVt7cQkFMlztNsZMN8YEG2OCCxcu7IguuYXExETeeecdypQpQ5cuXayOo5RbK1iwIIMGDeKHH37gxx9/tDpOliFWX6QjIiOAKGPMpzcZL8DvQCVjzKX02gIbgDXA9XP5igOngOrGmD9vtuzg4GCTU658nTlzJiEhIfzvf//j1VdftTqOUm7v6tWrlC9fnnz58rFjxw48PT2tjuQyIrLDGBOcdniGWyj23UOzRKSXiNQWkbterReRIPv3kth2bS1IM76AiOSyv+0A/Hy9mKTX1hizxxgTZIwpZYwpha3IVL1VMclJYmNjGTp0KE888QSNGjWyOo5S2ULu3LkZMWIEu3btIjw83Oo4WUJmdnm9DCwGcgGdgGMi8sddLvdrEdkPLAO6GmP+FpHOItLZPr48sFdEfgXqAT1v1fYus2R7EydO5NSpU4wePVrvJqyUAzVv3pzg4GAGDRpEXFyc1XEsd9u7vESkPNDUGPOBcyK5Tk7Y5XX+/Hnuv/9+atasybJly6yOo1S2s379emrVqsXIkSPp37+/1XFc4m52ed2X+r39wLhewOAmRo0axaVLlxgxYoTVUZTKlv7zn//QsGFDRo4cSXR0tNVxLJWZXV4LRSRKRDaIyKf2A+H64Aw3cOLECT755BNat27NI488YnUcpbKtkSNHcvny5Rx/94kMC4ox5kls13q0BX4EfgMaOjmXcoD33nsPY4w+60QpJ3v44Ydp1apVyvHKnCpT16EYmyPGmCXGmFnGmChnB1N3Z//+/cydO5du3bpx3333ZdxAKXVX3n//fZKSkvjgA7c/vHzH9G7D2VRoaCh+fn762FKlXKR06dKEhIQwc+ZMfvvtN6vjWEILSja0detWvvnmG959910CAwOtjqNUjjFo0CC8vb0ZOnSo1VEsoQUlGxo8eDCFChWiZ8+eGU+slHKYokWL0qNHDxYsWMCePXusjuNyWlCymZ9//pkff/yRAQMG4OfnZ3UcpXKcd999l3z58jFo0CCro7icFpRsxBjDoEGDKFq0KG+99ZbVcZTKkQICAujbty/ffvstmzdvtjqOS2lByUZWr17Nhg0bGDhwIL6+vlbHUSrH6tmzJ0FBQQwcONDqKC6lBSWbuL51UrJkSTp06GB1HKVyND8/PwYMGMBPP/3E+vXrrY7jMlpQsonvvvuObdu2MWTIEHLnzm11HKVyvE6dOlG0aNEcdcaXFpRsIDk5mcGDB1OmTBlat25tdRylFODr60v//v1Zv349P/30k9VxXEILSjbwv//9j127djF06FC8vb2tjqOUsuvYsSP33nsvQ4cOxeqHGbqCFhQ3l5yczNChQylfvjxvvPGG1XGUUqn4+PgwYMAANmzYwNq1a62O43RaUNzc119/zf79+xkyZEiOegSpUu6iQ4cOFCtWLEdspWhBcWPJycl88MEHlCtXjmbNmlkdRymVDh8fH0JDQ9m0aROrV6+2Oo5TaUFxY0uXLmXPnj0MGjRIt06UysLat29PiRIlsv1WihYUN2WMYdiwYTz44IO89tprVsdRSt1C7ty5CQ0NZfPmzaxatcrqOE6jBcVNLVu2jF27djFw4EC8vLysjqOUykC7du0oWbIk77//frbdStGC4oaub53cf//9tGzZ0uo4SqlMyJUrF/369WPz5s2sW7fO6jhOoQXFDX3//ffs2LFDt06UcjPt2rXjnnvu4cMPP7Q6ilNYUlBEpKeI7BWRfSLSK53xBUVkiYjsFpFtIlIxo7YiMlZEDtrbLBGRAi7pjItd3zopVaoU//3vf62Oo5S6DT4+PvTt25e1a9dmyzsRu7yg2ItDCFAdeBRoICJl0kwWCkQaYyoBrYGwTLT9Eahob3MIGODsvlhh1apVbNu2jdDQUL0qXik31KlTJwIDAxk+fLjVURzOii2U8sBWY0ysMSYRWA80TjNNBWAtgDHmIFBKRIrcqq0xZpV9GMAWoLjzu+J6H374ISVKlKBNmzZWR1FK3YG8efPSu3dvli9fzs6dO62O41BWFJS9QE0RCRSRPMBLQIk00+zCXihEpDpwH7YCkZm2AO2AFU7Kb5kNGzawceNG+vbtS65cuayOo5S6Q127diV//vzZbivF5QXFGHMAGA2sAlYCkUBSmslGAQVEJBLoDuwEkjLTVkQGAolAeHrLF5GOIhIhIhFnz551TKdcZOTIkRQuXJj27dtbHUUpdRfy589P9+7d+frrr9m3b5/VcRzGkoPyxphZxpjHjDHPABewHfNIPf6SMaatMaYytmMohYGjGbUVkTeBBkBLc5MTvY0x040xwcaY4MKFCzuhd84RGRnJihUr6NWrF3ny5LE6jlLqLvXs2ZO8efMycuRIq6M4jFVneQXZv5fEtmtrQZrxBUTk+j6dDsDPxphLt2orIi8C7wIvG2NiXdEPVxo5ciT+/v506dLF6ihKKQcoVKgQb731FgsXLuTIkSNWx3EIq65D+VpE9gPLgK7GmL9FpLOIdLaPLw/sFZFfgXpAz1u1tQ+fBPgDP4pIpIhMdUlPXODQoUMsXryYrl27UqBAAavjKKUc5J133sHb25uxY8daHcUhJLveAiAzgoODTUREhNUxMtShQwfCw8M5duwYRYoUsTqOUsqBOnfuzJw5czh27BhFixa1Ok6miMgOY0xw2uF6pXwWFxUVxWeffUb79u21mCiVDfXp04fExETCwsKsjnLXtKBkcePHjyc5OZk+ffpYHUUp5QRlypShSZMmTJkyhYsXL1od565oQcnCzp07x/Tp02nZsiWlSpWyOo5Sykn69evHpUuXmDZtmtVR7ooWlCxs0qRJxMbG0q9fP6ujKKWc6LHHHqN27dp8/PHHxMfHWx3njmlByaJiY2OZPHkyDRs2pEKFClbHUUo5Wb9+/fjzzz/5/PPPrY5yx7SgZFHz5s3j3Llz9O3b1+ooSikXeP7556latSpjx44lKSntzUPcgxaULCgpKYnx48dTvXp1nn76aavjKKVcQETo168fhw8fZunSpVbHuSNaULKgpUuX8ttvv9G3b19ExOo4SikXadKkCQ888ACjR492y8cEa0HJYowxjB07lgceeIBXX33V6jhKKRfy9PSkT58+bN++nfXr11sd57ZpQcliNm7cyNatW+nduzeenp5Wx1FKuVibNm0oVKgQ48ePtzrKbdOCksWMHTuWQoUK8eabb1odRSllAV9fX7p06cJ3333HwYMHrY5zW7SgZCEHDhxg2bJldO3aVW9Rr1QO1rVrV3Lnzs2ECROsjnJbtKBkIePHj8fHx4euXbtaHUUpZaGgoCD++9//Mm/ePNzpQYBaULKI6xc0tW3bFnd68JdSyjnefvtt4uPjmTJlitVRMk0LShYxZcoUEhISePvtt62OopTKAipUqEC9evWYPHmy29yORQtKFnB9LaRBgwY8+OCDVsdRSmUR77zzDn/99Rfz58+3OkqmaEHJAsLDwzl79qxunSilbvDcc8/x6KOP8tFHH7nFhY5aUCxmjOHjjz/m0UcfpVatWlbHUUplISLCO++8w4EDB1i5cqXVcTKkBcViq1evZt++ffTq1Utvs6KU+pfXXnuNe++91y0udNSCYrEJEyZQpEgR3njjDaujKKWyoFy5ctG9e3fWrFnDnj17rI5zS1pQLHTw4EG+//57unTpQu7cua2Oo5TKokJCQvD19eWTTz6xOsotaUGxUFhYGLlz56Zz585WR1FKZWGBgYG0atWK+fPnc+7cOavj3JQWFItER0czb948WrZsSVBQkNVxlFJZXI8ePYiPj2fmzJlWR7kpSwqKiPQUkb0isk9EeqUzvqCILBGR3SKyTUQqZtRWRAJE5EcROWz/XtA1vbkzM2bMIC4ujl69elkdRSnlBipWrMhzzz3H5MmTSUhIsDpOulxeUOzFIQSoDjwKNBCRMmkmCwUijTGVgNZAWCba9gfWGGMeBNbY32dJCQkJTJo0idq1a/PII49YHUcp5SZ69uxJVFQUS5YssTpKuqzYQikPbDXGxBpjEoH1QOM001QA1gIYYw4CpUSkSAZtXwHm2V/PAxo5tRd3YcmSJZw8eZKePXtaHUUp5Ubq16/P/fffn2UPzltRUPYCNUUkUETyAC8BJdJMswt7oRCR6sB9QPEM2hYxxpy2v/4TKJLewkWko4hEiEiEVXfxnDRpEqVLl+all16yZPlKKffk6elJ9+7d2bRpEzt27LA6zr+4vKAYYw4Ao4FVwEogEkhKM9kooICIRALdgZ1AUibbYmz3KEj3PgXGmOnGmGBjTLAVd/XdtWsXGzZsoGvXrvpERqXUbWvbti1+fn6EhYVZHeVfLDkob4yZZYx5zBjzDHABOJRm/CVjTFtjTGVsx1AKA0czaHtGRIoC2L//5Zre3J6JEyfi6+tL27ZtrY6ilHJD+fPn58033+SLL77gzz//tDrODaw6yyvI/r0ktl1bC9KMLyAiuexvOwA/G2MuZdD2W6CN/XUb4Btn9uFOREdHEx4eTqtWrQgICLA6jlLKTXXv3p2EhASmTZtmdZQbWHUdytcish9YBnQ1xvwtIp1F5PoVfuWBvSLyK1AP6Hmrtvbho4A6InIYeN7+PkuZPXs28fHxdO/e3eooSik3VrZsWerVq8fUqVO5du2a1XFSiDvcEtlZgoODTUREhEuWlZSURJkyZbjvvvtYt26dS5aplMq+vv/+e+rXr88XX3zBa6+95tJli8gOY0xw2uF6pbyLfPfddxw7doxu3bpZHUUplQ3UrVuX0qVLM3nyZKujpNCC4iITJ06kePHiNGrUyOooSqlswNPTk7feeosNGzZkmbsQa0Fxgf3797NmzRreeustvLy8rI6jlMom2rVrh4+PT5bZStGC4gKTJ08mV65chISEWB1FKZWNBAYG8vrrrzN//nwuXrxodRwtKM52+fJlPvvsM1577TWsuJBSKZW9de3alZiYGObNm5fxxE6mBcXJwsPDuXLlCl26dLE6ilIqGwoODqZ69ep8+umnWH3Wru7QdyJjDJ9++imVK1emRo0aVsfJlhISEoiKiiI+Pt7qKCoTfHx8KF68ON7e3lZHyVa6du1KmzZtWLNmDc8//7xlObSgONH//d//sWfPHqZNm4aIWB0nW4qKisLf359SpUrpzziLM8YQHR1NVFQUpUuXtjpOttK8eXPeeecdJk+ebGlB0V1eTjRlyhT8/f1p0aKF1VGyrfj4eAIDA7WYuAERITAwULcmncDHx4f27dvz7bffcuLECctyaEFxkrNnz7J48WJat26Nn5+f1XGyNS0m7kN/V87TuXNnjDGW3t9LC4qTzJkzh2vXrvHWW29ZHUUplQOUKlWKl156iVmzZln2iGAtKE6QnJzMtGnTqFmzJg8//LDVcZSTPfnkk7c1/bp162jQoMEdL2/EiBF33FZlb506deLPP//k22+/tWT5WlCcYNWqVRw9elRPFc4h/u///s+ly7uTgpKU9K/n0Kls6KWXXqJEiRKW7fbSs7yc4NNPPyUoKIjGjRtnPLFymF69ehEZGenQeVauXJkJEybccho/Pz+uXLnCunXreO+99yhUqBB79+7lscceY/78+YgIK1eupFevXuTJk4enn346pW1MTAzdu3dn7969JCQk8N577/HKK68wd+5cvv32W2JjY/ntt9949dVXGTNmDP379ycuLo7KlSvz8MMPEx4ezvz58/nkk0+4du0aNWrU4NNPP8XT0xM/Pz86derE6tWrmTx58g3LVdmTp6cnHTp0YOjQoRw5coQyZcq4dPm6heJgx48fZ/ny5bRv355cuXJl3EBlKzt37mTChAns37+fo0ePsmnTJuLj4wkJCWHZsmXs2LHjhqfsDR8+nOeee45t27bx008/0bdvX2JiYgCIjIxk0aJF7Nmzh0WLFnHixAlGjRqFr68vkZGRhIeHc+DAARYtWsSmTZuIjIzE09OT8PBwwFasatSowa5du7SY5CDt27fH09OTGTNmuHzZuoXiYDNmzMAYQ8eOHa2OkuNktCXhCtWrV6d48eKAbevm2LFj+Pn5Ubp0aR588EEAWrVqxfTp0wHb7tFvv/2WcePGAbbToI8fPw5A7dq1yZ8/PwAVKlTgjz/+oESJEjcsb82aNezYsYNq1aoBEBcXR1BQEGBbW23SpImTe6yymmLFitGwYUPmzJnDsGHDyJ07t8uWrQXFgRITE5k9ezYvvvgipUqVsjqOskDqf15PT08SExNvOb0xhq+//pqHHnrohuFbt27N1LyMMbRp04aRI0f+a5yPjw+enp632wWVDXTu3JmlS5eyZMkSXn/9dZctV3d5OdCKFSs4deqU3lVY3aBcuXIcO3aM3377DYCFCxemjKtbty4TJ05MuQfTzp07M5yft7d3ymmhtWvX5quvvuKvv/4C4Pz58/zxxx+O7oJyM3Xq1KF06dIuPzivBcWBZsyYQZEiRe7qlFCV/fj4+DB9+nTq169P1apVU3ZJAQwePJiEhAQqVarEww8/zODBgzOcX8eOHalUqRItW7akQoUKfPjhh7zwwgtUqlSJOnXqcPr0aWd2R7kBDw8PQkJCWLduHQcPHnTZcvWZ8g56pvzJkycpWbIkffv2ZdSoUQ6Zp8rYgQMHKF++vNUx1G3Q35lrnDlzhuLFi9O9e3c++ugjh85bnynvZHPnziU5OZkOHTpYHUUppShSpAivvvoq8+bNIy4uziXL1ILiAMnJycyaNYtnn33W5ed9K6XUzXTu3Jnz58/z1VdfuWR5WlAcYM2aNfz+++96MF4plaVcX8mdNWuWS5ZnSUERkZ4isldE9olIr3TGFxSRJSKyW0S2iUjFVOPetrfbKyILRcTHPry2iPwiIpEislFEXLapMGPGDAICAnj11VddtUillMqQiNC+fXvWr1/PoUOHnL48lxcUe3EIAaoDjwIN0vnwDwUijTGVgNZAmL1tMaAHEGyMqQh4AtdPsp4CtDTGVAYWAIOc3BXAdpv6pUuX0rp1a3x8fFyxSKWUyrQ2bdrg6enJ7Nmznb4sK7ZQygNbjTGxxphEYD2Q9qZXFYC1AMaYg0ApESliH+cF+IqIF5AHOGUfboB89tf5Uw13qnnz5pGQkKC7u5RSWVLRokVp0KABc+fOdfpt7a0oKHuBmiISKCJ5gJeAEmmm2YW9yIhIdeA+oLgx5iQwDjgOnAYuGmNW2dt0AL4XkSjgv0C65+6KSEcRiRCRiLNnz95VR4wxzJw5kyeffJIKFSrc1bxU9lOqVCnOnTt32+3mzp3LqVP/rA916NCB/fv3OzLaTZ09e5YaNWpQpUoVNmzY4JJlKufr0KEDZ86cYfny5U5djssLijHmADAaWAWsBCKBtPfWHgUUEJFIoDuwE0gSkYLAK0Bp4F4gr4i0srd5G3jJGFMcmAOke+K1MWa6MSbYGBNcuHDhu+rLxo0b+fXXX/VUYeVQaQvKzJkzXbLCkpiYyJo1a3jkkUfYuXMnNWvWdPoylWu8+OKL3HvvvcycOdOpy7HkXl7GmFnALAARGQFEpRl/CWhrHy/A78BRoC7wuzHmrH3c/4AnReQH4FFjzFb7LBZhK1ZONWPGDPLly0fz5s2dvSiVCe8v28f+U5ccOs8K9+ZjaMNbPyTtZrePT61Ro0acOHGC+Ph4evbsSceOHUlKSqJ9+/ZEREQgIrRr144SJUoQERFBy5Yt8fX1ZfPmzdSrV49x48YRHBzMypUrCQ0NJSkpiUKFCrFmzZoblrNv3z7atm3LtWvXSE5O5uuvv8bb25sGDRqwd+9eAMaNG8eVK1d47733qFWrFpUrV2bjxo288cYbhIWFERcXR0REBJs3b6Z3795s376duLg4mjZtyvvvvw/A9u3b6dmzJzExMeTOnZs1a9aQJ08e+vfvz7p167h69Spdu3alU6dODvxtqDvl5eVF27ZtGTlyJFFRUSk3MHX4cpwy1wyISJAx5i8RKYlt19bjacYXAGKNMdew7cr62RhzSUSOA4/bd5XFAbWBCOACkF9EyhpjDgF1gAPO7MOFCxdYvHgxb775Jnnz5nXmolQWlvr28d7e3nTp0oXw8HBat259w3SzZ88mICCAuLg4qlWrRpMmTTh27BgnT55M+aD/+++/KVCgAJMmTUopIKmdPXuWkJAQfv75Z0qXLs358+f/lWfq1Kn07NmTli1bcu3aNZKSkjhz5swt+3Dt2jWu3zEiMDCQiIgIJk2aBNhurx8QEEBSUhK1a9dm9+7dlCtXjtdee41FixZRrVo1Ll26hK+vL7NmzSJ//vxs376dq1ev8tRTT/HCCy9QunTpO/75Ksdp164dw4cPZ+7cuQwa5Jxzlqy62/DXIhIIJABdjTF/i0hnAGPMVGwH7ueJiAH2Ae3t47aKyFfAL0Aitl1h040xiSISYp9vMrYC086ZHQgPD095zoXKGjLaknCGW90+PrVPPvmEJUuWAHDixAkOHz7MQw89xNGjR+nevTv169fnhRdeuOWytmzZwjPPPJPyAR0QEPCvaZ544gmGDx9OVFQUjRs3Trll/q289tprNx335ZdfMn36dBITEzl9+jT79+9HRChatGhKn/Pls50Ls2rVKnbv3p1yEd3Fixc5fPiwFpQs4v7776d27drMmjWL0NBQPDwcf8TDql1e/9o5ay8k119vBsrepO1QYGg6w5cASxwY86aMMcyYMYOqVatStWpVVyxSZVG3un38devWrWP16tVs3ryZPHnyUKtWLeLj4ylYsCC7du3ihx9+YOrUqXz55Zd3fWpnixYtqFGjBsuXL+ell15i2rRplC1bluTk5JRp4uPjb2hzsy3s33//nXHjxrF9+3YKFizIm2+++a+2qRljmDhxInXr1r2rPijn6dChA2+88QZr167l+eefd/j89Ur5OxAREcHu3bt160Rl6vbxFy9epGDBguTJk4eDBw+yZcsWAM6dO0dycjJNmjThww8/5JdffgHA39+fy5cv/2tZjz/+OD///DO///57yrLSOnr0KPfffz89evTglVdeYffu3RQpUoS//vqL6Ohorl69ynfffZepvl26dIm8efOSP39+zpw5w4oVKwB46KGHOH36NNu3bwfg8uXLJCYmUrduXaZMmZJyauqhQ4dSnj6psoZGjRoREBDgtIPz+oCtOzBjxgzy5MlDixYtrI6iLJb69vHJycl4e3szefJk7rvvvpRpXnzxRaZOnUr58uV56KGHePxx2yHDkydP0rZt25Sth+tbOW+++SadO3dOOSh/XeHChZk+fTqNGzcmOTmZoKAgfvzxxxvyfPnll3z++ed4e3tzzz33EBoaire3N0OGDKF69eoUK1aMcuXKZapvjz76KFWqVKFcuXKUKFGCp556CoBcuXKxaNEiunfvTlxcHL6+vqxevZoOHTpw7NgxqlatijGGwoULs3Tp0jv+2SrH8/Hx4b///S9Tpkzh3LlzFCpUyKHz19vX38Ht60ePHs3ff/99y90cyjX0VujuR39n1tq7dy+DBw9m3LhxPPDAA3c0j5vdvl63UO5Av379rI6glFJ3pGLFiikniDiaHkNRSinlEFpQlNvLybtt3Y3+rrI3LSjKrfn4+BAdHa0fVG7AGEN0dLTelTsb02Moyq0VL16cqKgo7vZGn8o1fHx8nHbbD2U9LSjKrXl7e+uV2EplEbrLSymllENoQVFKKeUQWlCUUko5RI6+Ul5EzgJ/ZDhh1lIIuP3HALo37XPOoH12H/cZY/71hMIcXVDckYhEpHfLg+xM+5wzaJ/dn+7yUkop5RBaUJRSSjmEFhT3M93qABbQPucM2mc3p8dQlFJKOYRuoSillHIILShKKaUcQguKGxCRABH5UUQO278XvMW0+UQkSkQmuTKjI2WmvyJSWUQ2i8g+EdktIq9ZkfVuiciLIvKriBwRkf7pjM8tIovs47eKSCkLYjpUJvrcW0T223+va0TkvvTm404y6nOq6ZqIiBERtzyVWAuKe+gPrDHGPAissb+/mQ+An12Synky099YoLUx5mHgRWCCiBRwXcS7JyKewGSgHlABeENEKqSZrD1wwRhTBvgYGO3alI6VyT7vBIKNMZWAr4Axrk3pWJnsMyLiD/QEtro2oeNoQXEPrwDz7K/nAY3Sm0hEHgOKAKtcE8tpMuyvMeaQMeaw/fUp4C/gX1fuZnHVgSPGmKPGmGvAF9j6nlrqn8VXQG0RERdmdLQM+2yM+ckYE2t/uwVw9/vdZ+b3DLaVwdFAvCvDOZIWFPdQxBhz2v76T2xF4wYi4gGMB/q4MpiTZNjf1ESkOpAL+M3ZwRysGHAi1fso+7B0pzHGJAIXgUCXpHOOzPQ5tfbACqcmcr4M+ywiVYESxpjlrgzmaPo8lCxCRFYD96QzamDqN8YYIyLpnevdBfjeGBPlDiuwDujv9fkUBT4H2hhjkh2bUllJRFoBwcB/rM7iTPaVwY+ANy2Octe0oGQRxpjnbzZORM6ISFFjzGn7B+hf6Uz2BFBTRLoAfkAuEblijLnV8RbLOKC/iEg+YDkw0BizxUlRnekkUCLV++L2YelNEyUiXkB+INo18ZwiM31GRJ7HtnLxH2PMVRdlc5aM+uwPVATW2VcG7wG+FZGXjTERLkvpALrLyz18C7Sxv24DfJN2AmNMS2NMSWNMKWy7vT7LqsUkEzLsr4jkApZg6+dXLszmSNuBB0WktL0/r2Pre2qpfxZNgbXGva9GzrDPIlIFmAa8bIxJd2XCzdyyz8aYi8aYQsaYUvb/3y3Y+u5WxQS0oLiLUUAdETkMPG9/j4gEi8hMS5M5R2b62xx4BnhTRCLtX5UtSXuH7MdEugE/AAeAL40x+0RkmIi8bJ9sFhAoIkeA3tz6DL8sL5N9HottK3ux/featsi6lUz2OVvQW68opZRyCN1CUUop5RBaUJRSSjmEFhSllFIOoQVFKaWUQ2hBUUop5RBaUJRSSjmEFhSllFIOoQVFqSxERH4SkTr21x+KyESrMymVWXovL6WylqHAMBEJAqoA2epKapW96ZXySmUxIrIe261HahljLludR6nM0l1eSmUhIvIIUBS4psVEuRstKEplEfZb9Ydje5rfFRF50eJISt0WLShKZQEikgf4H/COMeYAtsfBDrU2lVK3R4+hKKWUcgjdQlFKKeUQWlCUUko5hBYUpZRSDqEFRSmllENoQVFKKeUQWlCUUko5hBYUpZRSDvH/FArT/DSt6QEAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "plt.plot(x[:, n//2], h[:, n//2], \"k\", label=\"indenter\")\n", + "plt.plot(x[:, n//2], u[:, n//2], label=\"elastic surface\")\n", + "# plt.axis(\"equal\")\n", + "plt.xlabel(\"$x$\")\n", + "plt.ylabel(\"$u$\")\n", + "plt.legend()\n", + "plt.title(\"Deformation\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "6cbfcea1-5daf-4a3c-b5a4-520f0249e48b", + "metadata": {}, + "source": [ + "### Comparison with theory" + ] + }, + { + "cell_type": "markdown", + "id": "02d2211e-3e48-4328-bd27-020cdaa787d8", + "metadata": {}, + "source": [ + "The surface tractions obtained by solving the contact with Tamaas can be compared to the theoretical pressure distribution. Complete the function below to compute this theoretical distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "555ad42b-b5d1-4956-87d6-4f881696d994", + "metadata": {}, + "outputs": [], + "source": [ + "def compute_p_theory(x, y, E, nu, F): # DEFINE THEORETICAL PRESSURE DISTRIBUTION\n", + " Es = E / (1 - nu**2) # renormalized Young modulus\n", + " a = (3 * F * R / (4 * Es))**(1/3) # contact radius\n", + " p0 = 3 * F / (2 * np.pi * a**2) # maximum pressure\n", + " \n", + " r = np.sqrt(x**2 + y**2)\n", + " p_theory = p0 * np.sqrt((r < a) * (1 - r**2 / a**2)) # pressure distribution\n", + " # The (r < a) term is equal to 1 when r < a, and to 0 when r ≥ a, so that we\n", + " # never take the sqrt of a negative number.\n", + " return p_theory\n", + "\n", + "p_theory = compute_p_theory(x, y, E, nu, F)" + ] + }, + { + "cell_type": "markdown", + "id": "c7c763f8-6f88-4f10-b601-c1fa7cb8cdfe", + "metadata": {}, + "source": [ + "Both pressure distributions can be compared visually." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "80cc852d-0c8c-4ba7-a612-9c2278d3ef24", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "plt.plot(x[:, n//2], p_theory[:, n//2], \"k--\", label=\"theory\")\n", + "plt.plot(x[:, n//2], p[:, n//2], label=\"simulation\")\n", + "plt.xlabel(\"$x$\")\n", + "plt.ylabel(\"$u$\")\n", + "plt.legend()\n", + "plt.title(\"Pressure\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "3d1fc51a-d953-466c-888b-1e7a6d7b0c46", + "metadata": {}, + "source": [ + "...and numerically." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "81b219d1-2809-4863-9f14-e37c540a117c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Pressure at center:\n", + " theory: 0.006147088762439429\n", + " simulation: 0.006217730531129743\n" + ] + } + ], + "source": [ + "print(\n", + "\"\"\"Pressure at center:\n", + " theory: {}\n", + " simulation: {}\"\"\"\n", + ".format(p_theory[n//2, n//2], p[n//2, n//2]))" + ] + }, + { + "cell_type": "markdown", + "id": "f31fb95c-b93d-4f79-9a19-b87223c63441", + "metadata": {}, + "source": [ + "## Convergence analysis" + ] + }, + { + "cell_type": "markdown", + "id": "4c54676e-902a-4530-b7e9-a3443f7a6235", + "metadata": {}, + "source": [ + "The accuracy of the simulation depends on multiple factors. Write a function to numerically quantify the error between a simulated and a theoretical pressure distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "9867b042-10d6-4762-9ce6-93064f7fd80b", + "metadata": {}, + "outputs": [], + "source": [ + "def compute_error(p, p_theory): # DEFINE AN ERROR MEASUREMENT ##################\n", + " p0 = p_theory[n//2, n//2]\n", + " return np.abs((p0 - p[n//2, n//2]) / p0)\n", + " # This is not the only way to do it" + ] + }, + { + "cell_type": "markdown", + "id": "6d6cf67b-78b4-41e7-87d9-6cbbc59a205c", + "metadata": {}, + "source": [ + "We define below a function to solve for the contact given some parameters: the discretization $n$, the normal load $F$ and the radius $R$." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "bcc2a1c6-51f6-47d9-aed9-d0a1d4b485c8", + "metadata": {}, + "outputs": [], + "source": [ + "def solve(n, F, R):\n", + " # Goemetry\n", + " x = np.linspace(-L/2, L/2, n)\n", + " y = x.copy()\n", + " x, y = np.meshgrid(x, y, indexing=\"ij\")\n", + " h = create_indenter(x, y, R)\n", + " \n", + " # Model\n", + " model = tm.ModelFactory.createModel(tm.model_type.basic_2d, [L, L], [n, n])\n", + " model.E = E\n", + " model.nu = nu\n", + " p = model.traction\n", + " \n", + " # Solver\n", + " solver = tm.PolonskyKeerRey(model, h, 1e-12)\n", + " \n", + " # Solve\n", + " solver.solve(F / (L**2))\n", + " \n", + " return p, x, y" + ] + }, + { + "cell_type": "markdown", + "id": "6f77fafd-fd33-4126-8057-7f771c644e53", + "metadata": {}, + "source": [ + "We can assess the effect of the discretization $n$ on the accuracy with a loop. Which values of $n$ give the best accuracy? What is the order of convergence?" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "c9c90509-e1c2-4861-aaf8-df47c0700b17", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " Iter Cost_f Error\n", + " 0 -3.904437e-06 1.980474e-03\n", + " Iter Cost_f Error\n", + " 0 -9.761285e-07 5.126116e-04\n", + " Iter Cost_f Error\n", + " 0 -2.440354e-07 1.287756e-04\n", + " Iter Cost_f Error\n", + " 0 -6.100923e-08 3.224148e-05\n", + " Iter Cost_f Error\n", + " 0 -1.525236e-08 8.063476e-06\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "n = 16, L/n = 0.062500, a = 0.088044, error = 23.03%\n", + "n = 32, L/n = 0.031250, a = 0.088044, error = 4.34%\n", + "n = 64, L/n = 0.015625, a = 0.088044, error = 2.41%\n", + "n = 128, L/n = 0.007812, a = 0.088044, error = 1.15%\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + " Iter Cost_f Error\n", + " 0 -3.813096e-09 2.016095e-06\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "n = 256, L/n = 0.003906, a = 0.088044, error = 0.62%\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + " Iter Cost_f Error\n", + " 0 -9.532747e-10 5.040389e-07\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "n = 512, L/n = 0.001953, a = 0.088044, error = 0.35%\n", + "n = 1024, L/n = 0.000977, a = 0.088044, error = 0.22%\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "n_list = np.logspace(4, 10, 7, base=2, dtype=int) # [4, 8, ..., 1024] # CREATE A LIST OF VALUES FOR n\n", + "error_list = []\n", + "\n", + "F = 1e-4\n", + "R = 10.0\n", + "\n", + "for n in n_list:\n", + " p, x, y = solve(n, F, R)\n", + " p_theory = compute_p_theory(x, y, E, nu, F)\n", + " error = compute_error(p, p_theory)\n", + " error_list.append(error)\n", + " print(\"n = {}, L/n = {:.6f}, a = {:.6f}, error = {:.2f}%\".format(n, L/n, (3*F*R/(4*E/(1-nu**2)))**(1/3), error * 100))\n", + "\n", + "plt.figure()\n", + "plt.loglog(n_list, np.array(error_list) * 100, \".-\")\n", + "plt.grid()\n", + "plt.xlabel(\"$n$\")\n", + "plt.ylabel(\"error [%]\")\n", + "plt.title(\"Convergence\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "af2deaaa-3907-43bf-9c66-8c01e97f97f3", + "metadata": {}, + "source": [ + "Now, perform the same kind of loop, but with other varying parameters. For each simulation, see how the contact radius $a$ compares with the system size $L$ and the grid size $L/n$, and find the conditions under which the accuracy is better." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "b469a7bb-eadc-4972-9b4a-040b9a7359ef", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " Iter Cost_f Error\n", + " 0 -6.100932e-11 3.213669e-05\n", + " Iter Cost_f Error\n", + " 0 -1.929284e-10 3.213691e-05\n", + " Iter Cost_f Error\n", + " 0 -6.100932e-10 3.213763e-05\n", + " Iter Cost_f Error\n", + " 0 -1.929284e-09 3.213989e-05\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "F = 1.00e-07, L/n = 0.007812, a = 0.008804, error = 14.16%\n", + "F = 3.16e-07, L/n = 0.007812, a = 0.012923, error = 3.58%\n", + "F = 1.00e-06, L/n = 0.007812, a = 0.018969, error = 1.19%\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + " Iter Cost_f Error\n", + " 0 -6.100931e-09 3.214703e-05\n", + " Iter Cost_f Error\n", + " 0 -1.929283e-08 3.216969e-05\n", + " Iter Cost_f Error\n", + " 0 -6.100923e-08 3.224148e-05\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "F = 3.16e-06, L/n = 0.007812, a = 0.027842, error = 1.47%\n", + "F = 1.00e-05, L/n = 0.007812, a = 0.040867, error = 1.04%\n", + "F = 3.16e-05, L/n = 0.007812, a = 0.059984, error = 1.11%\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + " Iter Cost_f Error\n", + " 0 -1.929276e-07 3.246779e-05\n", + " Iter Cost_f Error\n", + " 0 -6.100847e-07 3.318964e-05\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "F = 1.00e-04, L/n = 0.007812, a = 0.088044, error = 1.15%\n", + "F = 3.16e-04, L/n = 0.007812, a = 0.129231, error = 1.33%\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + " Iter Cost_f Error\n", + " 0 -1.929199e-06 3.546753e-05\n", + " Iter Cost_f Error\n", + " 0 -6.100085e-06 4.266998e-05\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "F = 1.00e-03, L/n = 0.007812, a = 0.189686, error = 1.94%\n", + "F = 3.16e-03, L/n = 0.007812, a = 0.278420, error = 3.93%\n", + "F = 1.00e-02, L/n = 0.007812, a = 0.408665, error = 10.60%\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# WRITE OTHER TESTS ############################################################\n", + "F_list = np.logspace(-7, -2, 11) # [1e-7, 3e-7, ..., 1e-2]\n", + "error_list = []\n", + "\n", + "n = 128\n", + "R = 10.0\n", + "\n", + "for F in F_list:\n", + " p, x, y = solve(n, F, R)\n", + " p_theory = compute_p_theory(x, y, E, nu, F)\n", + " error = compute_error(p, p_theory)\n", + " error_list.append(error)\n", + " print(\"F = {:.2e}, L/n = {:.6f}, a = {:.6f}, error = {:.2f}%\".format(F, L/n, (3*F*R/(4*E/(1-nu**2)))**(1/3), error * 100))\n", + "\n", + "plt.figure()\n", + "plt.loglog(F_list, np.array(error_list) * 100, \".-\")\n", + "plt.grid()\n", + "plt.xlabel(\"$F$\")\n", + "plt.ylabel(\"error [%]\")\n", + "plt.title(\"Convergence\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "8f738866-e833-4333-a8a2-8b2eb1257922", + "metadata": {}, + "source": [ + "The accuracy is better when $a \\ll L$ and $L/n \\ll a$." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python", + "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": "3.8.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Exercises_2.ipynb b/Exercises_2.ipynb index c6881a5..07560e9 100644 --- a/Exercises_2.ipynb +++ b/Exercises_2.ipynb @@ -1,585 +1,585 @@ { "cells": [ { "cell_type": "markdown", "id": "17e4b0c9-8fc8-4f4f-b41f-0b05c5ee22e5", "metadata": { "tags": [] }, "source": [ "### Setup" ] }, { "cell_type": "markdown", "id": "b9a9a851-94d7-454c-be68-96ad35c2d0f2", "metadata": {}, "source": [ "We will use `tamaas` for generating rough surfaces and solving contact problems. First of all, it must be installed.\n", "\n", "Clic on the code cell bellow and press `shift+enter` to run it." ] }, { "cell_type": "code", "execution_count": null, "id": "26d89151-5a48-4cca-9db1-4d89b25174da", "metadata": {}, "outputs": [], "source": [ - "!pip install --user tamaas==2.3.0.post1" + "!pip install --user --no-warn-script-location tamaas==2.3.0.post1" ] }, { "cell_type": "markdown", "id": "4da4befb-cd90-42da-9943-314fc8890e7b", "metadata": {}, "source": [ - "When the installation is finished, restart the Python kernel from the menu: `Kernel > Restart Kernel...`" + "When the installation is finished ('`Successfully installed ...`'), restart the Python kernel from the menu: `Kernel > Restart`." ] }, { "cell_type": "markdown", "id": "70acfa3c-67e0-42e6-b176-4b9fcbe91dc9", "metadata": {}, "source": [ "Next, we import some Python libraries. `numpy` to work with arrays of numbers, `matplotlib` for plotting, and `tamaas`. Run the cell bellow." ] }, { "cell_type": "code", "execution_count": null, "id": "12ef8dc7-8413-4842-8938-f76a977732d8", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D # to make 3d plots$\n", "import tamaas as tm\n", "tm.initialize()" ] }, { "cell_type": "markdown", "id": "4fdb80fa-43ad-43e9-8f6a-947977dba487", "metadata": {}, "source": [ "# Generation of rough surfaces" ] }, { "cell_type": "markdown", "id": "8d4ab560-e4ad-4fda-a78b-70e2de654f3d", "metadata": {}, "source": [ "Tamaas is capable of generating fractal rough surfaces, called **self-affine** surfaces. These surfaces are characterised by the shape of their power spectral density (PSD), which is linked to the spatial Fourier transform. The PSD of a rough surface indicates how present are undulations of short or large wavelenghts.\n", "\n", "The PSD of a self-affine surface is a power-law (a line in a logarithmic plot) inside a range of spatial frequencies. We can control the values of the **smallest and largest wavelengths**. The slope of the PSD is influenced by the **Hurst exponent** $H$. Finally, the heights can be scaled to match a certain magnitude, for example quantified by the **root mean square** of the height distribution.\n", "\n", "Play with the parameters below and see how they influence the final rough surface." ] }, { "cell_type": "code", "execution_count": null, "id": "1960d707-de86-468c-b867-2578d9f53288", "metadata": {}, "outputs": [], "source": [ "# PLAY WITH THESE PARAMETERS ###################################################\n", "L = 1 # side length\n", "n = 128 # number of points (discretization)\n", "\n", "l_smallest = L / 64 # smallest wavelength (not smaller than L/n)\n", "l_largest = L / 2 # largest wavelength\n", "h_RMS = 0.02 # \"average\" height\n", "Hurst = 0.8 # Hurst exponent (0 ≤ H ≤ 1)\n", "seed = 1 # change this value to generate other surfaces with identical properties\n", "################################################################################" ] }, { "cell_type": "code", "execution_count": null, "id": "df672cb1-776a-4e2f-8007-611def4c0bac", "metadata": {}, "outputs": [], "source": [ "# Create PSD object\n", "spectrum = tm.Isopowerlaw2D()\n", "\n", "# Set spectrum parameters\n", "spectrum.q0 = round(L / l_largest) # round: must be integers\n", "spectrum.q1 = round(L / l_largest) # q1 is the \"roll-off\" frequency, usually equal to q0\n", "spectrum.q2 = round(L / l_smallest)\n", "spectrum.hurst = Hurst\n", "\n", "# Create surface generator\n", "generator = tm.SurfaceGeneratorFilter2D([n, n])\n", "generator.spectrum = spectrum\n", "generator.random_seed = seed\n", "\n", "# Generate surface\n", "h = generator.buildSurface()\n", "h *= h_RMS / tm.Statistics2D.computeRMSHeights(h)\n", "\n", "\n", "# Plot\n", "x = np.linspace(-L/2, L/2, n)\n", "y = x.copy()\n", "x, y = np.meshgrid(x, y, indexing=\"ij\")\n", "\n", "fig = plt.figure(figsize=(5, 5), dpi=150)\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "surf = ax.plot_surface(x, y, h, rstride=1, cstride=1, cmap=plt.cm.inferno)\n", "\n", "z_ratio = 0.2\n", "ax.set_zlim([-L/2 * z_ratio, L/2 * z_ratio])\n", "ax.set_box_aspect([1, 1, z_ratio])\n", "plt.locator_params(axis=\"z\", nbins=2) # reduce number of ticks on z axis\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ca664fdb-ee5b-4a8c-bafa-95e6771fd2cc", "metadata": {}, "source": [ "# Solving a Hertzian contact" ] }, { "cell_type": "markdown", "id": "580921ca-ce4b-48d0-88fc-a53c7bfa1107", "metadata": {}, "source": [ "## Definition and solving" ] }, { "cell_type": "markdown", "id": "69e95c09-0f32-425a-86ea-07bbaa8aebef", "metadata": {}, "source": [ "One simple case of Hertz contact is the contact between a sphere and a flat surface. Tamaas is made for solving the contact between a **rigid surface** having a given shape (near to flat) and a **flat elastic surface**, knowing the total applied normal load." ] }, { "cell_type": "markdown", "id": "e0b81529-7afc-4faf-8d8b-20c3f7c60f44", "metadata": {}, "source": [ "### Geometry" ] }, { "cell_type": "markdown", "id": "130cc0bc-f4e5-4d0b-8e61-8c7351604df4", "metadata": {}, "source": [ "Start by defining the geometry of the rigid surface, which must be a sphere." ] }, { "cell_type": "code", "execution_count": null, "id": "ccba9013-0391-480a-ae39-d618b1a34454", "metadata": {}, "outputs": [], "source": [ "# CHANGE THESE VALUES ##########################################################\n", "L = 1 # side length\n", "n = 128 # number of points (discretization)\n", "R = 10 # rigid indenter radius\n", "################################################################################\n", "\n", "x = np.linspace(-L/2, L/2, n)\n", "y = x.copy()\n", "x, y = np.meshgrid(x, y, indexing=\"ij\")\n", "\n", "\n", "def create_indenter(x, y, R):\n", " return # DEFINE SPHERICAL SURFACE ##########################################\n", "\n", "h = create_indenter(x, y, R)" ] }, { "cell_type": "code", "execution_count": null, "id": "10b70cf7-ec28-4f45-b8fa-27387892e38f", "metadata": {}, "outputs": [], "source": [ "# Plot\n", "fig = plt.figure(figsize=(5, 5), dpi=150)\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "surf = ax.plot_surface(x, y, h, rstride=1, cstride=1, cmap=plt.cm.inferno)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "17733385-28c3-4929-aee6-0df3f5d6f279", "metadata": {}, "source": [ "### Physical parameters" ] }, { "cell_type": "markdown", "id": "2a4b9eef-1d00-40c1-a556-c8e82ef9522b", "metadata": {}, "source": [ "Then, we define the material parameters and the normal load applied by the rigid sphere." ] }, { "cell_type": "code", "execution_count": null, "id": "ce342c8c-6213-45e2-a7c2-2a3c01f53e4a", "metadata": {}, "outputs": [], "source": [ "E = 1.0 # Young's modulus\n", "nu = 0.3 # Poisson's ratio\n", "F = 1e-4 # Normal load # CHANGE THIS VALUE ##################################" ] }, { "cell_type": "markdown", "id": "7e6da2e6-6b62-48a4-852d-7f0ea8a503fd", "metadata": {}, "source": [ "### Tamaas model and solver" ] }, { "cell_type": "markdown", "id": "bf357417-7c81-4a3b-aa37-c168cfcd16cb", "metadata": {}, "source": [ "In Tamaas, we must define a **model** and a **solver**." ] }, { "cell_type": "code", "execution_count": null, "id": "bcc86ebc-4b78-459f-9667-151990030d63", "metadata": {}, "outputs": [], "source": [ "model = tm.ModelFactory.createModel(tm.model_type.basic_2d, [L, L], [n, n])\n", "model.E = E\n", "model.nu = nu" ] }, { "cell_type": "markdown", "id": "386442ba-12ca-4fab-8622-f6b8ec37a94a", "metadata": {}, "source": [ "We create variables to access the displacements and the tractions at the surface:" ] }, { "cell_type": "code", "execution_count": null, "id": "c4af11d9-007c-4d99-91bd-e143319c01b2", "metadata": {}, "outputs": [], "source": [ "u = model.displacement\n", "p = model.traction" ] }, { "cell_type": "code", "execution_count": null, "id": "7e8e084d-f442-42bf-8564-e21cefb99f57", "metadata": {}, "outputs": [], "source": [ "solver = tm.PolonskyKeerRey(model, h, 1e-12)" ] }, { "cell_type": "markdown", "id": "b057fc64-a939-4eb0-915e-a72fa7c263cf", "metadata": {}, "source": [ "The creation of the solver takes three arguments: a model, the shape of the indenter, and a numerical accuracy for the solve." ] }, { "cell_type": "markdown", "id": "2cf8c5f5-84a1-4072-9379-da3e1360b288", "metadata": {}, "source": [ "### Solve" ] }, { "cell_type": "markdown", "id": "8d9e028f-37cc-4f34-8641-68dbd797cf9e", "metadata": {}, "source": [ "The solver needs an **average pressure**, obtained from the normal load and the total area of the system." ] }, { "cell_type": "code", "execution_count": null, "id": "1ac2ba4b-4ca3-449a-80d4-c56e56a636b6", "metadata": {}, "outputs": [], "source": [ "solver.solve(F / (L**2))" ] }, { "cell_type": "markdown", "id": "5265926a-4b28-4f03-9465-8d16de1b56f3", "metadata": {}, "source": [ "We can plot the displacements to see that the elastic surface matches the shape of the sphere." ] }, { "cell_type": "code", "execution_count": null, "id": "ae0e5655-16ca-4e5f-b99a-2b34392a942e", "metadata": {}, "outputs": [], "source": [ "plt.figure()\n", "plt.plot(x[:, n//2], h[:, n//2], \"k\", label=\"indenter\")\n", "plt.plot(x[:, n//2], u[:, n//2], label=\"elastic surface\")\n", "# plt.axis(\"equal\")\n", "plt.xlabel(\"$x$\")\n", "plt.ylabel(\"$u$\")\n", "plt.legend()\n", "plt.title(\"Deformation\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6cbfcea1-5daf-4a3c-b5a4-520f0249e48b", "metadata": {}, "source": [ "### Comparison with theory" ] }, { "cell_type": "markdown", "id": "02d2211e-3e48-4328-bd27-020cdaa787d8", "metadata": {}, "source": [ "The surface tractions obtained by solving the contact with Tamaas can be compared to the theoretical pressure distribution. Complete the function below to compute this theoretical distribution." ] }, { "cell_type": "code", "execution_count": null, "id": "555ad42b-b5d1-4956-87d6-4f881696d994", "metadata": {}, "outputs": [], "source": [ "def compute_p_theory(x, y, E, nu, F):\n", " return # DEFINE THEORETICAL PRESSURE DISTRIBUTION ##########################\n", "\n", "p_theory = compute_p_theory(x, y, E, nu, F)" ] }, { "cell_type": "markdown", "id": "c7c763f8-6f88-4f10-b601-c1fa7cb8cdfe", "metadata": {}, "source": [ "Both pressure distributions can be compared visually." ] }, { "cell_type": "code", "execution_count": null, "id": "80cc852d-0c8c-4ba7-a612-9c2278d3ef24", "metadata": {}, "outputs": [], "source": [ "plt.figure()\n", "plt.plot(x[:, n//2], p_theory[:, n//2], \"k--\", label=\"theory\")\n", "plt.plot(x[:, n//2], p[:, n//2], label=\"simulation\")\n", "plt.xlabel(\"$x$\")\n", "plt.ylabel(\"$u$\")\n", "plt.legend()\n", "plt.title(\"Pressure\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3d1fc51a-d953-466c-888b-1e7a6d7b0c46", "metadata": {}, "source": [ "...and numerically." ] }, { "cell_type": "code", "execution_count": null, "id": "81b219d1-2809-4863-9f14-e37c540a117c", "metadata": {}, "outputs": [], "source": [ "print(\n", "\"\"\"Pressure at center:\n", " theory: {}\n", " simulation: {}\"\"\"\n", ".format(p_theory[n//2, n//2], p[n//2, n//2]))" ] }, { "cell_type": "markdown", "id": "f31fb95c-b93d-4f79-9a19-b87223c63441", "metadata": {}, "source": [ "## Convergence analysis" ] }, { "cell_type": "markdown", "id": "4c54676e-902a-4530-b7e9-a3443f7a6235", "metadata": {}, "source": [ "The accuracy of the simulation depends on multiple factors. Write a function to numerically quantify the error between a simulated and a theoretical pressure distribution." ] }, { "cell_type": "code", "execution_count": null, "id": "9867b042-10d6-4762-9ce6-93064f7fd80b", "metadata": {}, "outputs": [], "source": [ "def compute_error(p, p_theory):\n", " return # DEFINE AN ERROR MEASUREMENT ########################################" ] }, { "cell_type": "markdown", "id": "6d6cf67b-78b4-41e7-87d9-6cbbc59a205c", "metadata": {}, "source": [ "We define below a function to solve for the contact given some parameters: the discretization $n$, the normal load $F$ and the radius $R$." ] }, { "cell_type": "code", "execution_count": null, "id": "bcc2a1c6-51f6-47d9-aed9-d0a1d4b485c8", "metadata": {}, "outputs": [], "source": [ "def solve(n, F, R):\n", " # Goemetry\n", " x = np.linspace(-L/2, L/2, n)\n", " y = x.copy()\n", " x, y = np.meshgrid(x, y, indexing=\"ij\")\n", " h = create_indenter(x, y, R)\n", " \n", " # Model\n", " model = tm.ModelFactory.createModel(tm.model_type.basic_2d, [L, L], [n, n])\n", " model.E = E\n", " model.nu = nu\n", " p = model.traction\n", " \n", " # Solver\n", " solver = tm.PolonskyKeerRey(model, h, 1e-12)\n", " \n", " # Solve\n", " solver.solve(F / (L**2))\n", " \n", " return p, x, y" ] }, { "cell_type": "markdown", "id": "6f77fafd-fd33-4126-8057-7f771c644e53", "metadata": {}, "source": [ "We can assess the effect of the discretization $n$ on the accuracy with a loop. Which values of $n$ give the best accuracy?" ] }, { "cell_type": "code", "execution_count": null, "id": "c9c90509-e1c2-4861-aaf8-df47c0700b17", "metadata": {}, "outputs": [], "source": [ "n_list = [] # CREATE A LIST OF VALUES FOR n ####################################\n", "error_list = []\n", "\n", "F = 1e-4\n", "R = 10.0\n", "\n", "for n in n_list:\n", " p, x, y = solve(n, F, R)\n", " p_theory = compute_p_theory(x, y, E, nu, F)\n", " error = compute_error(p, p_theory)\n", " error_list.append(error)\n", " print(\"n = {}, L/n = {:.6f}, a = {:.6f}, error = {:.2f}%\".format(n, L/n, (3*F*R/(4*E/(1-nu**2)))**(1/3), error * 100))\n", "\n", "plt.figure()\n", "plt.loglog(n_list, np.array(error_list) * 100, \".-\")\n", "plt.grid()\n", "plt.xlabel(\"$n$\")\n", "plt.ylabel(\"error [%]\")\n", "plt.title(\"Convergence\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "af2deaaa-3907-43bf-9c66-8c01e97f97f3", "metadata": {}, "source": [ "Now, perform the same kind of loop, but with other varying parameters. For each simulation, see how the contact radius $a$ compares with the system size $L$ and the grid size $L/n$, and find the conditions under which the accuracy is better." ] }, { "cell_type": "code", "execution_count": null, "id": "b469a7bb-eadc-4972-9b4a-040b9a7359ef", "metadata": {}, "outputs": [], "source": [ "# WRITE OTHER TESTS ############################################################" ] } ], "metadata": { "kernelspec": { "display_name": "Python", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }