{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# RVE Test " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "import compmod2 as cp2\n", "import argiope as ag\n", "import pandas as pd\n", "import numpy as np\n", "from string import Template\n", "import inspect, os, local_settings, scipy\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits import mplot3d as mpl3d\n", "import matplotlib.colors as colors\n", "import matplotlib as mpl\n", "%matplotlib nbagg" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# USEFUL FUNCTIONS\n", "def create_dir(path):\n", " try:\n", " os.mkdir(path)\n", " except:\n", " pass\n", "# SETTINGS\n", "workdir = \"_workdir/\"\n", "outputdir = \"outputs/\"\n", "label = \"RVE\"\n", "create_dir(workdir)\n", "create_dir(workdir + outputdir)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model settings" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 10.5 ms, sys: 0 ns, total: 10.5 ms\n", "Wall time: 10.5 ms\n" ] } ], "source": [ "%%time\n", "shape = np.array([4, 4, 4])\n", "Ne = shape.prod()\n", "\n", "def element_map(mesh):\n", " mesh.elements.loc[:, (\"type\", \"solver\", \"\") ] = \"C3D8R\"\n", " return mesh\n", " \n", " \n", "def material_map(mesh):\n", " mesh.elements.materials = [\"mat{0}\".format(i) for i in mesh.elements.index]\n", " return mesh\n", "\n", "dist = cp2.distributions.Weibull(k = 1., l = 1.e-2)\n", "xt, x = dist.discretize(Ne, xmax = 1.)\n", "np.random.shuffle(x)\n", "E = 210.e3\n", "nu = .3\n", "materials = [ag.materials.ElasticPerfectlyPlastic(\n", " label = \"mat{0}\".format(i+1), \n", " young_modulus = E, \n", " poisson_ratio = nu, \n", " yield_stress = x[i] * E) \n", " for i in range(Ne)]\n", "\n", "steps = [cp2.models.RVEStep(name = \"loading1\", \n", " cx = (\"disp\", .1),\n", " field_output_frequency = 100),\n", " cp2.models.RVEStep(name = \"unloading1\", \n", " cx = (\"force\", 0.),\n", " field_output_frequency = 100),\n", " cp2.models.RVEStep(name = \"loading2\", \n", " cx = (\"disp\", .1),\n", " field_output_frequency = 100),]\n", "\n", "sample = cp2.models.RVESample(shape = shape,\n", " element_map = element_map,\n", " material_map = material_map)\n", "model = cp2.models.RVETest(label = label,\n", " parts = {\"sample\":sample},\n", " steps = steps,\n", " materials = materials,\n", " solver = \"abaqus\", \n", " solver_path = local_settings.ABAQUS_PATH,\n", " workdir = workdir,\n", " verbose = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solving" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "#### POST-PROCESSING \"RVE\" USING POST-PROCESSOR \"ABAQUS\"\n", " Abaqus License Manager checked out the following license(s):\n", " \"cae\" release 6.13 from flex2-symme.univ-savoie.fr\n", " <7 out of 9 licenses remain available>.\n", " => POST-PROCESSED RVE: DURATION = 1.68s >\n" ] } ], "source": [ "if True:\n", " model.write_input()\n", " #model.run_simulation()\n", " model.postproc()\n", " model.save(workdir + label + \".pckl\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Post-Processing " ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " areas dimensions disp \\\n", " A1 A2 A3 L1 L2 L3 U1 \n", "frame \n", "0 1.000000 1.000000 1.000000 1.000 1.000000 1.000000 0.000 \n", "1 0.999375 1.000687 1.000687 1.001 0.999688 0.999687 0.001 \n", "2 0.998707 1.001349 1.001354 1.002 0.999356 0.999351 0.002 \n", "3 0.998000 1.001992 1.002001 1.003 0.999004 0.998995 0.003 \n", "4 0.997261 1.002617 1.002631 1.004 0.998636 0.998623 0.004 \n", "\n", " energies ... strains \\\n", " U2 U3 We ... E22 E33 LE11 \n", "frame ... \n", "0 0.000000 0.000000 0.000000 ... 0.000000 0.000000 0.000000 \n", "1 -0.000312 -0.000313 0.095873 ... -0.000312 -0.000313 0.001000 \n", "2 -0.000644 -0.000649 0.353291 ... -0.000644 -0.000649 0.001998 \n", "3 -0.000996 -0.001005 0.732349 ... -0.000996 -0.001005 0.002996 \n", "4 -0.001364 -0.001377 1.199574 ... -0.001364 -0.001377 0.003992 \n", "\n", " stress time volume \n", " LE22 LE33 S11 S22 S33 t V \n", "frame \n", "0 0.000000 0.000000 NaN NaN NaN 0.00 1.000000 \n", "1 -0.000312 -0.000313 NaN NaN NaN 0.01 1.000374 \n", "2 -0.000645 -0.000650 NaN NaN NaN 0.02 1.000704 \n", "3 -0.000996 -0.001005 NaN NaN NaN 0.03 1.000994 \n", "4 -0.001365 -0.001378 NaN NaN NaN 0.04 1.001250 \n", "\n", "[5 rows x 33 columns]" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model = ag.utils.load(workdir + label + \".pckl\")\n", "data = model.data[\"history\"]\n", "data.head()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support.' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", " $(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " if (mpl.ratio != 1) {\n", " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", " }\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " fig.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " '
');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var backingStore = this.context.backingStorePixelRatio ||\n", "\tthis.context.webkitBackingStorePixelRatio ||\n", "\tthis.context.mozBackingStorePixelRatio ||\n", "\tthis.context.msBackingStorePixelRatio ||\n", "\tthis.context.oBackingStorePixelRatio ||\n", "\tthis.context.backingStorePixelRatio || 1;\n", "\n", " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width * mpl.ratio);\n", " canvas.attr('height', height * mpl.ratio);\n", " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
')\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('');\n", " button.click(method_name, toolbar_event);\n", " button.mouseover(tooltip, toolbar_mouse_event);\n", " nav_element.append(button);\n", " }\n", "\n", " // Add the status bar.\n", " var status_bar = $('');\n", " nav_element.append(status_bar);\n", " this.message = status_bar[0];\n", "\n", " // Add the close button to the window.\n", " var buttongrp = $('
');\n", " var button = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "mpl.figure.prototype._root_extra_style = function(el){\n", " var fig = this\n", " el.on(\"remove\", function(){\n", "\tfig.close_ws(fig, {});\n", " });\n", "}\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(el){\n", " // this is important to make the div 'focusable\n", " el.attr('tabindex', 0)\n", " // reach out to IPython and tell the keyboard manager to turn it's self\n", " // off when our div gets focus\n", "\n", " // location in version 3\n", " if (IPython.notebook.keyboard_manager) {\n", " IPython.notebook.keyboard_manager.register_events(el);\n", " }\n", " else {\n", " // location in version 2\n", " IPython.keyboard_manager.register_events(el);\n", " }\n", "\n", "}\n", "\n", "mpl.figure.prototype._key_event_extra = function(event, name) {\n", " var manager = IPython.notebook.keyboard_manager;\n", " if (!manager)\n", " manager = IPython.keyboard_manager;\n", "\n", " // Check for shift+enter\n", " if (event.shiftKey && event.which == 13) {\n", " this.canvas_div.blur();\n", " event.shiftKey = false;\n", " // Send a \"J\" for go to next cell\n", " event.which = 74;\n", " event.keyCode = 74;\n", " manager.command_mode();\n", " manager.handle_keydown(event);\n", " }\n", "}\n", "\n", "mpl.figure.prototype.handle_save = function(fig, msg) {\n", " fig.ondownload(fig, null);\n", "}\n", "\n", "\n", "mpl.find_output_cell = function(html_output) {\n", " // Return the cell and output element which can be found *uniquely* in the notebook.\n", " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", " // IPython event is triggered only after the cells have been serialised, which for\n", " // our purposes (turning an active figure into a static one), is too late.\n", " var cells = IPython.notebook.get_cells();\n", " var ncells = cells.length;\n", " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", " data = data.data;\n", " }\n", " if (data['text/html'] == html_output) {\n", " return [cell, data, j];\n", " }\n", " }\n", " }\n", " }\n", "}\n", "\n", "// Register the function which deals with the matplotlib target/channel.\n", "// The kernel may be null if the page has been refreshed.\n", "if (IPython.notebook.kernel != null) {\n", " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# PATCHES\n", "vertices, emap = model.get_Poly3DCollection(deformed = True, \n", " step_label = step_label, \n", " frame = frame, \n", " displacement_factor = 1.)\n", " \n", "collection = mpl3d.art3d.Poly3DCollection(vertices)\n", "collection.set_array(F.loc[emap] * 100)\n", "collection.set_linewidth(.5)\n", "collection.set_edgecolor(\"black\")\n", "collection.set_cmap(mpl.cm.jet)\n", "collection.set_clim(0., 20.)\n", "\n", "# FIGURE\n", "fig = plt.figure()\n", "ax1 = fig.add_subplot(1, 1, 1, projection='3d', aspect = \"equal\")\n", "ax1.add_collection3d(collection)\n", "#ax1.axis(\"off\")\n", "ax1.set_xlabel(r'loading direction, $\\vec x$ axis')\n", "ax1.set_ylabel(r'$\\vec y$ axis')\n", "ax1.set_zlabel(r'$\\vec z$ axis')\n", "offset = .05\n", "ax1.set_xlim3d(-offset, 1. + offset)\n", "ax1.set_ylim3d(-offset, 1. + offset)\n", "ax1.set_zlim3d(-offset, 1. + offset)\n", "ax1.set_xticks([0, 1])\n", "ax1.set_yticks([0, 1])\n", "ax1.set_zticks([0, 1])\n", "cbar = plt.colorbar(collection)\n", "cbar.set_label(r\"True Strain Tensor, $LE_{11}$ [$\\%$]\")\n", "cbar.set_ticks(np.linspace(0., 20, 6))\n", "plt.savefig(\"model.pdf\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Periodic BC checking" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " node v1 v2 v3\n", "count 25.0 2.500000e+01 25.0 25.0\n", "mean 4.0 1.000000e-01 0.0 0.0\n", "std 0.0 2.665862e-09 0.0 0.0\n", "min 4.0 1.000000e-01 0.0 0.0\n", "25% 4.0 1.000000e-01 0.0 0.0\n", "50% 4.0 1.000000e-01 0.0 0.0\n", "75% 4.0 1.000000e-01 0.0 0.0\n", "max 4.0 1.000000e-01 0.0 0.0" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "U_id = fdata[(fdata.step_label == step_label) & (fdata.label == \"U\")].sort_values(\"frame\").index[frame]\n", "U = fields[U_id].data\n", "nodes = model.parts[\"sample\"].mesh.nodes\n", "\n", "def check_direction(direction = \"x\"):\n", " \"\"\"\n", " Calculates the difference of the displacements on 2 opposite faces that are normal to a given direction.\n", " \"\"\"\n", " F0 = nodes[(nodes.sets.control == False) & (nodes.coords[direction] == 0.)].coords.sort_values([\"x\", \"y\", \"z\"])\n", " F1 = nodes[(nodes.sets.control == False) & (nodes.coords[direction] == 1.)].coords.sort_values([\"x\", \"y\", \"z\"])\n", " U0 = U.loc[F0.index].reset_index()\n", " U1 = U.loc[F1.index].reset_index()\n", " return U1 - U0\n", "\n", "check_direction(\"x\").describe()\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " node v1 v2 v3\n", "count 25.0 25.0 2.500000e+01 25.0\n", "mean 20.0 0.0 -4.163784e-02 0.0\n", "std 0.0 0.0 7.457459e-10 0.0\n", "min 20.0 0.0 -4.163784e-02 0.0\n", "25% 20.0 0.0 -4.163784e-02 0.0\n", "50% 20.0 0.0 -4.163784e-02 0.0\n", "75% 20.0 0.0 -4.163784e-02 0.0\n", "max 20.0 0.0 -4.163784e-02 0.0" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "check_direction(\"y\").describe()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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nodev1v2v3
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" ], "text/plain": [ " node v1 v2 v3\n", "count 25.0 25.0 25.0 2.500000e+01\n", "mean 100.0 0.0 0.0 -4.791145e-02\n", "std 0.0 0.0 0.0 1.103872e-09\n", "min 100.0 0.0 0.0 -4.791145e-02\n", "25% 100.0 0.0 0.0 -4.791145e-02\n", "50% 100.0 0.0 0.0 -4.791145e-02\n", "75% 100.0 0.0 0.0 -4.791145e-02\n", "max 100.0 0.0 0.0 -4.791145e-02" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "check_direction(\"z\").describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The boundary conditions are perfectly matched. " ] } ], "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": "3.5.6" } }, "nbformat": 4, "nbformat_minor": 2 }