anisotropy/playground/geometry.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"id": "c94a76d4-15cb-4628-980e-644c24119b55",
"metadata": {
"tags": []
},
"source": [
"# Geometry parameters\n",
"## Face centered structure\n",
"\n",
"\n",
"$ \\theta_{min} = 0.01 $\n",
"\n",
"$ \\theta_{max} = 0.13 $\n",
"\n",
"$ L = 1 $\n",
"\n",
"$ r_0 = L \\sqrt{2} / 4 $\n",
"\n",
"Spheres radius:\n",
"\n",
"$ r = r_0 / (1 - \\theta) $\n",
"\n",
"Fillets radius:\n",
"\n",
"$ C_1 = 0.3, C_2 = 0.2 $\n",
"\n",
"$ C_f = C_1 + (C_2 - C_1) (\\theta_{max} - \\theta_{min}) / (\\theta - \\theta_{min}) $\n",
"\n",
"$ \\delta = 0.012 $\n",
"\n",
"$ r_{fillets} = \\delta - C_f (r - r_0) $"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "60e986af-be50-46ac-b8e6-73e12b0175b9",
"metadata": {},
"outputs": [],
"source": [
"from numpy import arange, sqrt\n",
"\n",
"thetaMin = 0.01\n",
"thetaMax = 0.13\n",
"\n",
"theta = arange(thetaMin, thetaMax + 0.01, 0.01)\n",
"\n",
"r0 = 1\n",
"L = r0 * 4 / sqrt(2)\n",
"#L = 1.0\n",
"#r0 = L * sqrt(2) / 4\n",
"radius = r0 / (1 - theta)\n",
"\n",
"C1, C2 = 0.3, 0.2\n",
"Cf = C1 + (C2 - C1) / (thetaMax - thetaMin) * (theta - thetaMin)\n",
"delta = 0.012\n",
"fillets = (2 * sqrt(3) / 3 - 1 / (1 - theta)) * r0 #Cf * (r0 - radius) #(radius - r0)\n",
"fillets2 = (sqrt(2) - 1 / (1 - theta)) * r0"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "dfa331c2-a2b0-4c81-8113-91ba38c35c42",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='theta', ylabel='radius'>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import seaborn\n",
"\n",
"seaborn.set_style(\"whitegrid\")\n",
"seaborn.lineplot(\n",
" data = {\"theta\": theta, \"radius\": radius}, \n",
" x = \"theta\", y = \"radius\"\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "b1ef64d1-ba45-4079-bac6-cbc1468174db",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='theta', ylabel='fillets'>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"seaborn.lineplot(\n",
" data = {\"theta\": theta, \"fillets\": fillets}, \n",
" x = \"theta\", y = \"fillets\", legend = \"full\"\n",
")\n",
"seaborn.lineplot(\n",
" data = {\"theta\": theta, \"fillets2\": fillets2}, \n",
" x = \"theta\", y = \"fillets2\"\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "f587e6da-c921-4533-8077-260f122636da",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([0.14459953, 0.13429238, 0.1237727 , 0.11303387, 0.10206896,\n",
" 0.09087075, 0.07943172, 0.06774402, 0.05579944, 0.04358943,\n",
" 0.03110503, 0.0183369 , 0.00527525]),\n",
" array([0.40411255, 0.3938054 , 0.38328573, 0.3725469 , 0.36158198,\n",
" 0.35038378, 0.33894475, 0.32725704, 0.31531246, 0.30310245,\n",
" 0.29061806, 0.27784993, 0.26478828]))"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fillets, fillets2"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "52d9bd9a-b2ed-48aa-8f5c-dd980ea1ff3a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "8f04f541-29a8-42cd-99d6-d0d1cd766f7b",
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.9.7"
}
},
"nbformat": 4,
"nbformat_minor": 5
}