290 lines
128 KiB
Plaintext
290 lines
128 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Description\n",
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"\n",
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"This notebook intends to gather all the functionalities you'll have to implement for assignment 2.2.\n",
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"\n",
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"# Load libraries"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import igl\n",
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"import meshplot as mp\n",
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"import time\n",
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"\n",
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"import sys as _sys\n",
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"_sys.path.append(\"../src\")\n",
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"from elasticsolid import *\n",
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"from elasticenergy import *\n",
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"from matplotlib import gridspec\n",
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"import matplotlib.pyplot as plt\n",
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"\n",
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"shadingOptions = {\n",
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" \"flat\":True,\n",
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" \"wireframe\":False, \n",
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"}\n",
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"\n",
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"rot = np.array(\n",
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" [[1, 0, 0 ],\n",
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" [0, 0, 1],\n",
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" [0, -1, 0 ]]\n",
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")"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Load mesh\n",
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"\n",
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"Several meshes are available for you to play with under `data/`: `ball.obj`, `dinosaur.obj`, and `beam.obj`. You can also uncomment the few commented lines below to manipulate a simple mesh made out of 2 tetrahedra."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 14,
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"metadata": {
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"scrolled": false
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},
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"outputs": [],
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"source": [
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"v, _, _, t, _, _ = igl.read_obj(\"../data/beam.obj\")\n",
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"aabb = np.max(v, axis=0) - np.min(v, axis=0)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Linear/Non-Linear Elastic Solid\n",
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"\n",
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"## Instantiation\n",
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"\n",
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"We first specify the elasticity model to use for the elastic solid, as well as pinned vertices, and volumetric forces."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 15,
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"metadata": {},
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"outputs": [],
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"source": [
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"rho = 131 # [kg.m-3]\n",
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"young = 10e6 # [Pa] \n",
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"poisson = 0.2\n",
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"force_mass = np.zeros(shape = (3,))\n",
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"force_mass[2] = - rho * 9.81\n",
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"\n",
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"minX = np.min(v[:, 0])\n",
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"pin_idx = np.arange(v.shape[0])[v[:, 0] < minX + 0.2*aabb[0]]\n",
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"\n",
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"ee = LinearElasticEnergy(young, poisson)\n",
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"neo_ee = NeoHookeanElasticEnergy(young, poisson)\n",
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"solid = ElasticSolid(v, t, ee, rho=rho, pin_idx=pin_idx, f_mass=force_mass)\n",
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"neo_solid = ElasticSolid(v, t, neo_ee, rho=rho, pin_idx=pin_idx, f_mass=force_mass)\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Validate Elastic Energy Gradient (Elastic Forces) using Finite Differences on Elastic Energy"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 16,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
|
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"text/plain": [
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"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fd_validation_elastic(solid)\n",
|
|
"fd_validation_elastic(neo_solid)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Validate External Energy Gradient (External Forces) using Finite Differences on External Energy"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
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"text/plain": [
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"<Figure size 432x288 with 1 Axes>"
|
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]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fd_validation_ext(solid)\n",
|
|
"fd_validation_ext(neo_solid)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Validate Elastic Energy Force Differentials (Elastic Forces) using Finite Differences on Elastic Forces"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/opt/notebooks/assignment_2_3/notebook/../src/elasticenergy.py:145: RuntimeWarning: invalid value encountered in log\n",
|
|
" self.logJ = np.log(np.linalg.det(jac))\n",
|
|
"/opt/notebooks/assignment_2_3/notebook/../src/elasticenergy.py:131: RuntimeWarning: invalid value encountered in log\n",
|
|
" j = np.log(np.linalg.det(jac))\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"%run ../src/Utils.py\n",
|
|
"\n",
|
|
"v_def = v.copy()\n",
|
|
"v_def[:, 0] *= 2.\n",
|
|
"solid.update_def_shape(v_def)\n",
|
|
"neo_solid.update_def_shape(v_def)\n",
|
|
"\n",
|
|
"fd_validation_elastic_differentials(solid)\n",
|
|
"fd_validation_elastic_differentials(neo_solid)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"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"
|
|
},
|
|
"toc": {
|
|
"base_numbering": 1,
|
|
"nav_menu": {},
|
|
"number_sections": true,
|
|
"sideBar": true,
|
|
"skip_h1_title": false,
|
|
"title_cell": "Table of Contents",
|
|
"title_sidebar": "Contents",
|
|
"toc_cell": false,
|
|
"toc_position": {},
|
|
"toc_section_display": true,
|
|
"toc_window_display": false
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 4
|
|
}
|