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+ "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.10" + }, + "orig_nbformat": 2, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.8.10 64-bit" + }, + "interpreter": { + "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" + } + }, + "nbformat": 4, + "nbformat_minor": 2, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# Absorbing Boundary\n", + "\n", + "## 1D Column - Displacement Check\n", + "\n", + "Final displacement at the bottom of the 1D column should be $u = \\sigma \\delta / E_c$ where \n", + "\n", + "| SYMBOL | DEFINITION |\n", + "|-----------|---------------------------------|\n", + "| $u$ | displacement |\n", + "| $\\sigma$ | applied vertial stress |\n", + "| $\\delta$ | virtual viscous layer thickness |\n", + "| $E_c$ | constrained Young's modulus |\n" + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 1, + "source": [ + "import pandas as pd\n", + "\n", + "# model inputs\n", + "sigma = 100\n", + "delta = 0.10\n", + "E_c = 100e3\n", + "\n", + "# expected displacement\n", + "disp_exp = sigma * delta / E_c\n", + "\n", + "# mateiral point @ bottom center\n", + "mp_id = 12\n", + "\n", + "# initial and final dataframes\n", + "df_i = pd.read_hdf('results/absorbing-boundary-benchmark/particles00000.h5')\n", + "df_f = pd.read_hdf('results/absorbing-boundary-benchmark/particles30000.h5')\n", + "\n", + "# initial and final position \n", + "coord_i = df_i['coord_y'][mp_id]\n", + "coord_f = df_f['coord_y'][mp_id]\n", + "\n", + "# mpm displacement\n", + "disp_mpm = abs(coord_i - coord_f)\n", + "\n", + "# error\n", + "error = abs(disp_mpm - disp_exp) / disp_exp * 100\n", + "\n", + "# output\n", + "print('=== displacement at bottom center ===')\n", + "print(f'EXPECTED : \\t {disp_exp:.8f}')\n", + "print(f'MPM : \\t\\t {disp_mpm:.8f}')\n", + "print(f'ERROR : \\t {error:.3f} %')" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "=== displacement at bottom center ===\n", + "EXPECTED : \t 0.00010000\n", + "MPM : \t\t 0.00009958\n", + "ERROR : \t 0.422 %\n" + ] + } + ], + "metadata": { + "tags": [] + } + } + ] +} \ No newline at end of file diff --git a/3d/uniaxial_absorbing/entity_sets.json b/3d/uniaxial_absorbing/entity_sets.json new file mode 100755 index 0000000..5724d4a --- /dev/null +++ b/3d/uniaxial_absorbing/entity_sets.json @@ -0,0 +1,46 @@ +{ + "particle_sets": [ + { + "id": 0, + "set": + [ + 28516,28517,28518,28519,28524,28525,28526,28527,28532,28533,28534,28535, + 28540,28541,28542,28543,28548,28549,28550,28551,28556,28557,28558,28559, + 28564,28565,28566,28567,28572,28573,28574,28575,28580,28581,28582,28583, + 28588,28589,28590,28591,28596,28597,28598,28599,28604,28605,28606,28607, + 28612,28613,28614,28615,28620,28621,28622,28623,28628,28629,28630,28631, + 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"|-----------|---------------------------------|\n", + "| $u$ | displacement |\n", + "| $\\sigma$ | applied vertial stress |\n", + "| $\\delta$ | virtual viscous layer thickness |\n", + "| $E_c$ | constrained Young's modulus |\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== displacement at bottom center ===\n", + "EXPECTED : \t 0.00010000\n", + "MPM : \t\t 0.00009958\n", + "ERROR : \t 0.422 %\n" + ] + } + ], + "source": [ + "import pandas as pd\n", + "\n", + "# model inputs\n", + "sigma = 100\n", + "delta = 0.10\n", + "E_c = 100e3\n", + "\n", + "# expected displacement\n", + "disp_exp = sigma * delta / E_c\n", + "\n", + "# mateiral point @ bottom center\n", + "mp_id = 168\n", + "\n", + "# initial and final dataframes\n", + "df_i = pd.read_hdf('results/absorbing-boundary-benchmark/particles00000.h5')\n", + "df_f = pd.read_hdf('results/absorbing-boundary-benchmark/particles30000.h5')\n", + "\n", + "# initial and final position \n", + "coord_i = df_i['coord_z'][mp_id]\n", + "coord_f = df_f['coord_z'][mp_id]\n", + "\n", + "# mpm displacement\n", + "disp_mpm = abs(coord_i - coord_f)\n", + "\n", + "# error\n", + "error = abs(disp_mpm - disp_exp) / disp_exp * 100\n", + "\n", + "# output\n", + "print('=== displacement at bottom center ===')\n", + "print(f'EXPECTED : \\t {disp_exp:.8f}')\n", + "print(f'MPM : \\t\\t {disp_mpm:.8f}')\n", + "print(f'ERROR : \\t {error:.3f} %')" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" + }, + "kernelspec": { + "display_name": "Python 3.8.10 64-bit", + "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" + }, + "orig_nbformat": 2 + }, + "nbformat": 4, + "nbformat_minor": 2 +}