{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Meet PyMKS\n", "\n", "In this short introduction, we will demonstrate the functionality in PyMKS. We will quantify microstructures using 2-point statistics, predict effective properties using homogenization and predict local properties using localization. If you would like more technical details about any of these methods please see the [theory section](THEORY.html)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pymks\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Quantify Microstructures using 2-Point Statistics\n", "\n", "Lets make two dual-phase microstructures with different morphologies." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from pymks.datasets import make_microstructure\n", "import numpy as np\n", "\n", "X_1 = make_microstructure(n_samples=1, grain_size=(25, 25))\n", "X_2 = make_microstructure(n_samples=1, grain_size=(95, 15))\n", "\n", "X = np.concatenate((X_1, X_2))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Throughout PyMKS `X` is used to represent microstructures. Now that we have made the two microstructures, lets take a look at them." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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AW6hZcwY1awAAAABgIKN71hg6O7HYXPbIvxyQK26+RPVtmahno/aAaw6A6UXW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\nN2jx4sVR+bBW+Xy+qJdb9ff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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_microstructures\n", "\n", "draw_microstructures(X)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can compute the 2-point statistics for these two periodic microstructures using the `correlate` function from `pymks.stats`. This function computes all of the autocorrelations and cross-correlation(s) for a microstructure. Before we compute the 2-point statistics, we will discretize them using the `PrimitiveBasis` function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from pymks import PrimitiveBasis\n", "from pymks.stats import correlate\n", "\n", "\n", "p_basis = PrimitiveBasis(n_states=2, domain=[0, 1])\n", "X_corr = correlate(X, p_basis, periodic_axes=[0, 1])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the two autocorrelations and the cross-correlation for these two microstructures." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(101, 101, 3)\n" ] }, { "data": { "image/png": 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CE/YbWv54ToqbDvsGtkLe+MibcCtwyHQVxk14yI13Onib/CFutycdsd32zVwQ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\nwekKrLKNN3wdk3Ta6p9khP5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B27AckWl8x1jsq7ReMZYtq5WyTEXaZQ8EGPtg2sWI9akQ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\nrY+UPeedcfC2wY1fJg8l4+sI1/e8Wvyxj7RGnuqOj7b5zV70uTlCvuX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C0kwjJXLSGTl3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\nk8kUtwHghRdewBlnnIGtt94am2yyCebMmYOf/OQnJ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XT5g3JJVtF2UgaWr/KxjpHC2jws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ygQ98AJttthk23nhjzJkzBw8++ODwsSeffBK///3vh28yMPvvv3/4iL4QQoh1x3j5qa3+Gym3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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_correlations\n", "\n", "print(X_corr[0].shape)\n", "\n", "draw_correlations(X_corr[0])\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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utRJjrnXivhAR4xIAVIlYV0qMk9h2cd1sMnWzq0Qfacc9Ql53ew4m18uWNOl7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\nCh+fN28eFi1ahHvuuSe+78cff8SuXbuceQJ7FgRNps9WF9B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Ew7hNCCGEdA6M2x3LhHhg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_correlations(X_corr[1])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2-Point statistics provide an object way to compare microstructures, and have been shown as an effective input to machine learning methods." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Predict Homogenized Properties" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this section of the intro, we are going to predict the effective stiffness for two-phase microstructures using the `MKSHomogenizationModel`, but we could have chosen any other effective material property. \n", "\n", "First we need to make some microstructures and their effective stress values to fit our model. Let's create 200 random instances 3 different types of microstructures, totaling to 600 microstructures." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from pymks.datasets import make_elastic_stress_random\n", "\n", "\n", "grain_size = [(47, 6), (4, 49), (14, 14)]\n", "n_samples = [200, 200, 200]\n", "\n", "X_train, y_train = make_elastic_stress_random(n_samples=n_samples, size=(51, 51),\n", " grain_size=grain_size, seed=0)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once again, `X_train` is our microstructures. Throughout PyMKS `y` is used as either the property, or the field we would like to predict. In this case `y_train` is the effective stress values for `X_train`. Let's look at one of each of the three different types of microstructures." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_microstructures(X_train[::200])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `MKSHomogenizationModel` uses 2-point statistics, so we need to provide a discretization method for the microstructures by providing a basis function. We will also specify which correlations we want." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from pymks import MKSHomogenizationModel\n", "\n", "\n", "p_basis = PrimitiveBasis(n_states=2, domain=[0, 1])\n", "homogenize_model = MKSHomogenizationModel(basis=p_basis, periodic_axes=[0, 1],\n", " correlations=[(0, 0), (1, 1), (0, 1)])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's fit our model with the data we created." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "homogenize_model.fit(X_train, y_train)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's make some new data to see how good our model is." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "n_samples = [10, 10, 10]\n", "X_test, y_test = make_elastic_stress_random(n_samples=n_samples, size=(51, 51),\n", " grain_size=grain_size, seed=100)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will try and predict the effective stress of our `X_test` microstructures." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y_pred = homogenize_model.predict(X_test)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `MKSHomogenizationModel` generates low dimensional representations of microstructures and regression methods to predict effective properties. Take a look at the low-dimensional representations." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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LyyNWVlZi86i6C7E8B02OHDlSqkytW7cmCQkJYtMrqw0VgS4z1SGMAvswiLMP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SAAAg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B+DRkzBAEQRAE4dNQzgxBEARBED4NeWYIgiAIgvBpyJghCIIgCMKnIWOGIAiCIAifhowZgiAI\ngiB8GjJmCIIgCILwaciYIQiCIAjCpyFjhiAIgiAIn4aMGYIgCIIgfBoyZgiCIAiC8Gn+H4i/dOKz\ndtOCAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_components_scatter\n", "\n", "\n", "draw_components_scatter([homogenize_model.reduced_fit_data[:,:2],\n", " homogenize_model.reduced_predict_data[:,:2]], \n", " ['Training Data', 'Test Data'])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's look at a goodness of fit plot for our `MKSHomogenizationModel`." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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vQV9fnz8fFxdXjaUrm8aNGwMoWH5AHU3HKyo/P58f19O9e3f++OnTp8FxHJYu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\nW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_goodness_of_fit\n", "\n", "\n", "fit_data = np.array([y_train, homogenize_model.predict(X_train)])\n", "pred_data = np.array([y_test, y_pred])\n", "\n", "draw_goodness_of_fit(fit_data, pred_data, ['Training Data', 'Test Data'])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks good.\n", "\n", "The `MKSHomogenizationModel` can be used to predict effective properties and processing-structure evolutions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Predict Local Properties" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this section of the intro, we are going to predict the local strain field in a microstructure using `MKSLocalizationModel`, but we could have predicted another local property.\n", "\n", "First we need some data, so let's make some." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "from pymks.datasets import make_elastic_FE_strain_delta\n", "\n", "\n", "X_delta, y_delta = make_elastic_FE_strain_delta()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once again, `X_delta` is our microstructures and `y_delta` is our local strain fields. We need to discretize the microstructure again, so we will also use the same basis function." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "from pymks import MKSLocalizationModel\n", "\n", "\n", "p_basis = PrimitiveBasis(n_states=2)\n", "localize_model = MKSLocalizationModel(basis=p_basis)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use the data to fit our `MKSLocalizationModel`." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "localize_model.fit(X_delta, y_delta)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have fit our model, we will create a random microstructure and compute its local strain field, using finite element analysis. We will then try and reproduce the same strain field with our model." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from pymks.datasets import make_elastic_FE_strain_random\n", "\n", "\n", "X_test, y_test = make_elastic_FE_strain_random()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the microstructure and its local strain field." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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ppdnZ2ZKkJk2alNu3qF1V+1YkPz9fffv21ZdffqmPPvpIbdu2LbH/r3/9a4m1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\nmAAAAAlJREFUAACw+f/4WMHK8ZH9TwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_microstructure_strain\n", "\n", "\n", "draw_microstructure_strain(X_test[0], y_test[0])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's pass that same microstructure to our `MKSLocalizationModel` and compare the predicted and computed local strain field." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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hww8/RO3atXHo0CGDtaLKMqctmc/f3x8ODg4oLCzEtGnTYGtriyZNmqh35/T29lZHnsaN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\nANxGEwkAAAAAcBtNJAAAAADAbf8fvrRyK97+B78AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_strains_compare\n", "\n", "y_pred = localize_model.predict(X_test)\n", "draw_strains_compare(y_test[0], y_pred[0])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not bad.\n", "\n", "The `MKSLocalizationModel` can be used to predict local properties and local processing-structure evolutions." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }