diff --git a/tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb b/tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb index 9d77e44f3306c46f1e067d60649dabf4afc7b8a8..3dbb45c66c44c43e05d113f9240da469295fb7fa 100644 --- a/tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb +++ b/tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb @@ -11,7 +11,41 @@ "<a id=\"top\"></a>\n", "# **3.1 Nonlinear bond - softening and hardening**\n", "\n", - "[](https://moodle.rwth-aachen.de/mod/page/view.php?id=551816) part 1" + "<!-- [](https://moodle.rwth-aachen.de/mod/page/view.php?id=551816) part 1 -->" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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\n", + "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/M7JZNVzrgko\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7f343c03d490>" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import YouTubeVideo\n", + "YouTubeVideo('M7JZNVzrgko')" ] }, { @@ -182,7 +216,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -2017,7 +2051,7 @@ "<IPython.core.display.HTML object>" ] }, - "execution_count": 1, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -2117,7 +2151,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": { "slideshow": { "slide_type": "fragment" @@ -2145,7 +2179,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": { "slideshow": { "slide_type": "fragment" @@ -2170,7 +2204,7 @@ "⎩ Ï„â‚‚ otherwise " ] }, - "execution_count": 3, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -2199,7 +2233,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": { "slideshow": { "slide_type": "fragment" @@ -2224,7 +2258,7 @@ "⎩ 0 otherwise " ] }, - "execution_count": 4, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -2259,7 +2293,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": { "slideshow": { "slide_type": "fragment" @@ -2280,7 +2314,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -2289,7 +2323,7 @@ "array([0. , 0.5 , 1. , 0.55, 0.1 ])" ] }, - "execution_count": 6, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -2319,7 +2353,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": { "slideshow": { "slide_type": "fragment" @@ -2329,7 +2363,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "1e27168b03f6422b959477621c0e397f", + "model_id": "fd1f57b2158047368491e291de00ea2f", "version_major": 2, "version_minor": 0 }, @@ -2378,7 +2412,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -2394,7 +2428,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -2460,7 +2494,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -2473,7 +2507,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "fa414d35f899450d883770687536d056", + "model_id": "67226de57e0e492aa88176072e6782e2", "version_major": 2, "version_minor": 0 }, @@ -2514,7 +2548,40 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "[](https://moodle.rwth-aachen.de/mod/page/view.php?id=551816) part 2" + "<!-- [](https://moodle.rwth-aachen.de/mod/page/view.php?id=551816) part 2 -->" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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+ "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/ytyeBbRDcvk\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7f33d2671220>" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "YouTubeVideo('ytyeBbRDcvk')" ] }, { @@ -2542,7 +2609,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 17, "metadata": { "slideshow": { "slide_type": "slide" @@ -2567,7 +2634,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -2590,7 +2657,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -2609,7 +2676,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -2622,7 +2689,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "191f53c204a3442a8db2895726fe41c7", + "model_id": "439306e860bb40188fb3eb8b0a5ca1fd", "version_major": 2, "version_minor": 0 }, @@ -2674,7 +2741,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -2689,7 +2756,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "56138825e40d41788a71220f6237f042", + "model_id": "3778cdeca51d46d78b210846f41a7ab5", "version_major": 2, "version_minor": 0 }, @@ -2770,13 +2837,13 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "3c11ecfcaf724ac0b6717d60ee0dc741", + "model_id": "ba885c900ef448faa893130fe3ae38ef", "version_major": 2, "version_minor": 0 }, @@ -2858,7 +2925,40 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "[](https://moodle.rwth-aachen.de/mod/page/view.php?id=551816) part 3" + "<!-- [](https://moodle.rwth-aachen.de/mod/page/view.php?id=551816) part 3 -->" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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vKt185OZUe3cnFrLN4tXgloJF0QA4nGeKbtKpvy/KprNbTJc0gNBpODb6ln2iYdxONdcPkpBnDKRUbQdRl25BzqrWuNMPJAjCIvJx0IJBnSqQ1wyZ5DrAiTILxN4IuAMAnruuUTc9vJYN7PAdXNIm+4XQ6I1nqxvWaWc8oNuckIgcW91/sY8W72zr9kqGpnfKjRJGTmnVsustcHOtEUw9oFwOLiP8jggsVc5V2Vaw3C2xhNmJBIbTDzogkudZHUdSj/jVaGEZKSDNrjOuguEji3ghkiY9putZdlWVtymmw0waUMtuDSb3W5vGqyzqm/FH5bX3au2y5jG07TPunuvsg/lBDiDNwdPQgmr5bVblgpANFLcw6S10lxtXBwuusjRpUdDPTnmgDQc01AS5rrVpgBjCztkjolQ0stywte9zGsaygHG0wjj2LRgTPtaPFdtt8GIMIK2bXB1NxEwaj8QR+c6Craq5vMsdH82p/vKtICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiIKVX34+DxUqiq+/HweKlQVq9R4dxQY6ifoCpKX4g/B4qVRUffn4PFBdREQEREBEWryYMCTFwJi/rQa5RRFSm9hJAe0tJGN4i5c/eooMyZlousVAASYxDtHmt8z50GVNe4BsMdZMF2MAm5zW6xfplS5wxof4o+hQeF+3ecLOcaQAtFjLhOk4T0K9m7M+QGiXZYTWyip7ypx3FrtMEajcSMMDgvP5yyZ2XZ9fSYYJq2bQ0BmJ6xBX0qlmjJ2Um0hSbZaABIvuwM4z0oPD06NTN9bcalTdMjqt+4qj8rmmWxH5gSbtIw1L1X2czgHtNExLZs3QLvaaOqQR0OaNBVLOmaGtY+i+X5PVwmJY4C4gnA437bvZ4OS5W9jnFz/AL/JiGvu5JIbV6i1xa4YwTpKD3mccppsZZqtLw8EWQ2ZEEukYRAOKxUdQIpscGkXPptLcLN4IHRCjYKOXUWl7TjeLRDmOiHCW9BI6QdRU9HImNdaIaS0/dktEsbAFkHVcdqDVmcabqVOqLVmo4NbxTMuMCRo+aqu+0WTAEl5AD3U7wfaa0uI2C5XmZKxrQ0N4oiBJi42h2qB+aMnc17XUgQ8lzpJMlwg9mzQg2q50oMdZfVawyQA4xJAkx+9BWc45xp5MwPqkhpNkRrgn6ApUzdRd7TAfa0n802ttp21ZyjIKdVtmpacLVocdwIN+BBBFxIhBpVzpRYxzy65jLZAaSbMAzHzCkpZdTfUfTBNqne6QQPkcDEietBkFGyWimwAs3MwIJZEROMQsfw+lae+xe+LV5ggaIwjWNOlBEM85NYY81mBrxLbRiRfff1HYpf4hRNQ0hUaag/ICLU3mI+R2FRDM2TBgYKLQwAgNEgAG1P+921TDIaW6CpYFsGQ7TPG9btqCTJ6jnNlzbBtOETNwJAPzAB+akREFXNzgWOIMjdH3j4yraq5B7Dv8R/+8q0gIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgpVffj4PFSqKr78fB4qVBys4543CuymWS12JBk33YC/z0LoUffn4PFZdRYTJa0kxJIGi8bFil+IPweKC6iIgIiICq5zMZNXIdZIpu4wIEcU3ybh1q0tKjA5pacCCD80HG+y+WmrkbnNFqy5zWg4mMBakg4wDJujFTMdXdTyU12NbUNSXgHAi1EATN3Sp805I6kw2xDnQSA9zgLunpnRqxWc51LIpnU+djHHwQeR+wFAVsry3LCLi8hp+Jxc7ss7V7xeY/8Ap7kwp5tY6L6j3PO2yOxq9Og0qUw9pa7Arwf2oyOrTqsdTbNVs2YHttiYux4oP9IAwFr36q5fkTa7LLriL2nSCLwdoGzWEHjvs3nmy9tUD7irDan/AI3gQJ6I06h1L3QK+ZZY6pkterU3KHAkZRSwDxoqs0QdIGB0avU/ZvOwLWUy63RePuahN4/8bukYDZqJD0qIiAiIgIiICIiAiwiCtkA4jv8AEf8A7yrSqZtYG03BoAAqPgDD2yraAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiClV9+Pg8VKoqvvx8HipUBRUvxB+DxUqipfiD8HiguoiICIiAiIgw4wCVxM8ZxpnJG1Zs2g8hroBMMfPX1i5dtzQQQRINxC819twKOa3tpta1oIaGtEAB11wHWg6f2ao7nm/JWxB3JpPWRJ+q6ajoU7DGsGDWgbBCkQFhZRBzc85s3xT4sCq32Sfoeg/uRIPzi1UyCs9r6bjkrzD2j8pwJA0EasDhqj6yufnPNbK7TLQTpnT/fp+qDk5nz8A1jXv3Sk4cSqOjQdN2nSNOteka4EAggg3gjAr5lnLMmU5DUfUyYW6WL6ZGHSWzscMNBUuZ/tiKZALiG3SDeBr6+sQejSg+lIuKM/NqULdCy5/FMF3FItAO43VMTpXZCDKIiAiIgIsIgrZvEMd/iVP95VpU82MDabgJgVH4kk+2dJvVxAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERBSq+/HweKlUVX34+DxUqAoqX4g/B4qVRUvxB+DxQXUREBERAREQFwftjSD8lYCJmvSG14C7OUUt0pvZJFppbIxEiJC4e9qTqYyd1V//AErg91hoDSQbYsgzgYgTqF6D0KKjQpmoxr2161lwkSGDH/Kt96uAvyird8HpQW0XKp1muYyoMor2XuDG8RuJMCeLcOkq2ckdziqP/X6UFpFzss+5pmo/KK1kQLgwm8wLrKxTk1BT3xWLnNL2myyLMjTZ6QgvVaLXxaF4wOBHUdC8/nX7I5PlElzBaP52Qx/WYFl3zA612t6O/n1e79Kr1+I9lM5RWD6gNm5hAjXxelB4et9jMqycl+TVyI0OBaY6xLTtUmTZ1zrkw42T2wMdzIPY0kfOF7eg3dC8CvWljrLpDBfAPJwgi9buyEmbVaoRqIp+lB5qh9umtuyihUpdLmEAfMTOwLp0PtjkL4++DZwnyx2hSHJqNqozdXs3KC/isaIibjZ7VE37PZJlFNr5e5j2hwJDZgiRiLkHQ/jWSyBvikCYiXgTOESry8vwAyCLxUPTbV6jXZudJzcorCk4ikwWWXHRPFuERj0a0HaWVUOSP5xVH/r9KiysbiwvfXrQCBcGEyTAuDelBNm8cR3+LU/3lWlz8hr02P3vuluoQat8TZc4kLoICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiIKVX34+DxUqiq+/HweKlQFFS/EH4PFSqKl+IPweKC6iIgIiICiyirudN74my0ugaYEqVYQc+jnQOq7nAkODXGdYfh82H5FWjkdK0925ttP9ox7V0X/JSCm3i3Di4dF0fRboNadMNaGtADQIAGACysoggp5HTa0NaxoaCCBF0gyO29ToiCLKKDKrCyo0OacQcNa1ZklNr90awB9mzPRJMdUk7VOiCtluXMoBhfMPeGCBpdhPQuc7OuTVKtIPY62RxCRgHWdOj22behdkgHFatpNAgNAA6EHNyDOVB1o0mObaeLUiL3EtB2thdVaGk27ii4yLsD+yVugruyKkS8mm0l/tSPagRfruUtGk2mxrGNDWtEADAAYLdEGFXbkFINDBTaGtMgaAQZVlYQZUdegyo0se0OacQei8KREELclph9sMFuItRfGMKZEQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAWFlEFKr78fB4qVRVffj4PFSoCipfiD8HipVFS/EH4PFBdREQEREBEXOyzLHU8ppgkCiWOtyMDIsmeu7/Mg6KLiZNnaqKbnVGWi23UfeG2GAyANbgLvlipKudnNcHWDuXHAvBLi1waLtEnDtjBB10XNybL3VK7WFpaLD7QIN5aacEEgEiHnR9FBRzq8NquewO3Mvc+HezTa9zRF15hhMdGN4CDsoqD84O3vXrWI3PdIBONgkSdQlqr5dWq0WH7+251mBZaHCXta4tGEQ7TMGLyg66LjVK1UOpMt1+NbJ4lK3xbMaIi89N6g39lDxxXPLxRDmtZTaZeXPAD5w9loN4vm9B6BFSyrLH03MY2nbc5jnnjQAGWZ+fGuVfKs7fcOewQSHhpOsUy8GPlgg6qLlNzo5oqS21uZc55mLLA9zRA0mGnYs5TnRwYNzYLRtxaN3EqNYdGm1KDqIudl+cHUajQWgsLCTebVq0xrQOiXrX+LHizSI40OJJDReMCR+rTGB0oOmsKtm+u+pTtPDQ604cUkiA4gfRWUGUREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERBSq+/HweKlUVX34+DxUqAoqX4g/B4qVRUvxB+DxQXUREBERAUNfJadSRUYHSIM6pn6gKZQVcqYwuDjAaGkn4iQO0dqDWpkNJxl1NpMk7YJ+RgXdCwc3US4uNJpLpBu5XtbdOtZZltMtDpMHC433geITftOy10mHAkcU4DFBtSyWmwgtaAQCJ08aCb+myNi1dkFIxNNtxJHWTaP+q/rWv8AEaUxaMzHsuxuuw6RtRmcaRAMkYXFpm8SB1oLDKTWgtAABJJHSSSdpJUFPN1FoIbTaAY/0mWjqBwCyctpgSSWgusiWkXrR2c6QAItGYusnSYGO3qQWTTaXBxHGAIB1AxP0C1pZMxhJa0Am47Sfq47VA3OVIkC0bRi6yZvMYda3OXU5IkyOg64u+dyDGVZBTrPa6oLVlrm2TgbVmf9sfMo/N1Fzi402kkEH5iybukXLWnnGk7SQb7iDovPZB+YWxy+mA0m0LQJHFOjGYwQZdkNIkE02kgk/Mm0e2/rWpzbRlztzbLgQT0OMu6pIBu03rDs50h+YxpNkwLpBPQRhrWzcvpkAyYLoBg33DYL9KCStkrHkF7Q6AW36jEjsGxR/wAPo3fdi7D5mTOu++9atznRMQ436bLovMXmLrws0svpvLQwl0zfBgR0/JBYpUmsBDRAJJjpJk9q2VM5yYCRfIMHinWRPVxTf0KV2Uw6zBJgm4aAgsIqDc5CyCWuBLWugAmLZhonWpn5dTa1rnOgOEgwbxd5hBZRVKOXse+wLQN2IMGQTj1ArP8AEKcB0mySRMG6MZ1DpQWkVT+IUpiTN35HacBhidSwc407LTfLmB8RoKC4iqfxCnZDwTZJiYIji2sDfhG1ZZnGiQ4h9zWlxuNwGJQWkVP+JUroJM6Q03SCROwrQZ1pkTxtN0HQSJ6rjegvoq1PLqbnBoJkmPZdqnVqWgzlSJiXf0u0kiOuR2hBcRVBnGkcHHR+V2n5f8LNTL6bS4EmW4gA/vSNqC0ipNznS0kh3JsknGzo6Vk5zpAElxumeK44XmLr7r0FxFXyjKxTIDgYOLtAWtTOFNvKIBIJDTAiZ+iC0iqPzhTa5zSTLXBpgE3uEjDWjM4U3WiCSGhpmyb7RIAGu8ILaKmM5U4DjIabUOi6GkCeq/FYGdKUE2jAEzZMYx9UF1FU/iFLldh+ewLbftPi3njxZuN8zH0QWUVR2cKYdZk3TJDTAgx9ZE9CwM5UTcHSYmA0k7EFxFSfnSiLUOtFoJgAkmLzHyvUwytm6GnJtTGB1TjhhOxBOipNzpRIm0ZuusmbxIC33/Ts2haItWTDTIMTggtIqRzrRv49wmSAYujT81kZzozFsYgYHT/wguIoqFdtRtpsx0gjsKlQUqvvx8HipVFV9+Pg8VKgKKl+IPweKlUVL8Qfg8UF1FhZQEREBVMpfRDjujQXBsk2Z4t/kVbUNXJmPtWmzabZPVf5lBXbVyd5ayyJm4FhgOE6xjxTsW1rJzxfuoaJHswASQTtlS0ckpsJc1oBPmTdqvJUX8MpWbNkxdpOgyO0oMuOTi47kIvg2bogensWajMnFzhSFnQbN03dq0/hdGCA2AdROufqt6mQU3PtkEugjE4EQewIMDcCCPu4a6NEB0C7rwQ73N53LD9OA8oWzchpgQJiZ9o3XWdkXLUZupDAG4gi83WQQ3YCgyXUAQZpzcJ4s4iO0haup0Ax1QtYWgl5cBavkm7EkzKyc20iQbN40yZxJ+rjtWzMiphm52eJIMHC4z9UGu55O4OupEAcb2bhjetiaN0mnpjDTM+PasNyCkGlgbxYAx1XhaHNdGIsmNVo6gPo0D5IBOSxP3RxN1k6ONHyUv3IH/bsgxoicI68FG/NtNzpIOmRJgy4O+oWwzfSDbAbDZtYnEiz9LkGKW4Q0tFMB17bgJvuI+aMOTh7Q3cw6IERPV/qw6Vs/ImOs3HiiBBOjBYp5vptiAYGHGN14d9QCg0FHJ7UcS0XzeWk2hftE9q2IpAy57SWze4tlusdCyMgphxdBkmcTjaDvqAtHZspXkAgkkyCcTigVadBzYcWEcW6RgL23atIUlug4AWqbgDde0wTcPFatzbSBJDbziZOqD2FDm6kbMt9mIvOgR9EGWVcnnimnN2BHSB9CNq1/wCnAbdTAuc0EAY4GNCyc20joP5dJ/KIasvzfTOIPs2cTgEGCMnB3OKcwTZgYDH6ntU29qd3EbcIHFFwGjqVd2bKdxv9q0bzeZBO2yJ6JGlXEELMkptYGBjbIwEacJ6+lbNyemJAY0SIMAXjV1KREEYyamPyN2BYGSUhhTZf+kKVEEJySnba+yLTcI6o+lyyMlp/y26vZClRBBUyOm6yCwcUgiLrxhgtjk1MmSxpMzNkYqVEEe92TNhs64GufqtKuQ0ntLSxsHEAR14dQU6INHUGGCWNMYSBctG5JSGFNguI9kYHH6lTIg0dRYTJa0mZmBM/sBajJaYBG5th0TxRfGClRBGcnYYljbrxcLupY3rTiNzbGqyFKiCPe1PkNuM+yMVk0GGJY26IuF0YQt0QRHJaZMmmwmZmyMVlmTsaZDGgjUApEQQnI6URubIiIsiIGAUm5Nm1ZE4zF+EfRbIgi3rT/ls0flGjBN604LdzZBMkWREqVEEW9qfIbjPsjGQfqBsQZNT5DdH5RowUqIMMYGiAAB0LZYWUFKr78fB4qVRVffj4PFSoCipfiD8HipVFS/EH4PFAoZaXZRVo2QAwAzOMhXFysj/H5T8LfoF1l33JJeP5PjPt22c/2/RRGuzG0IiflrUqrHIwRBJ9ixdGBXDupw4GROFxUYeTN7RjiNAMa1ltK8mZvnAaoVGpQpGoXPqQ6LhddDnwb+s3YXaUF82uU3Z/daMq2hIewiSMNIx0qIUmBtIWhZaRuZF83QMcblC5tBzfas+0ASL7ny6ARruQxe42tuw+a0dVhwYXtDjgIPn0HYVG+lR3OmHEFgiwScbrlpW3BxL3PEwADIuiSCOm9U4T7rfFtszZwOMTr1LDa4LS4VGWRidH1UFNtIBrW1DiyIg3gXaNIH/CjZkVAw0PJ/LEi/ilo0aGyPlfKHC22uCS0VGEjER/dZdWgOJeyG43YRedPSq/8PpOcTfaa7jG6SY03ajo1qJuSZO28PJuIiRJFmLh0CenWoLb8oDTBqMBkCI0kSNPQVIHE4Obp0asdK59fcXONuq8+yCIEEWXdGkOM+CsGgxtRl/3kuLZ6bRP+49iacLPG1t2f3WC4xNpsdR81W+7p1HuttD3RaBN2GjToC2Zm6mLxMiSDddax6Nf/CDffI/mM0aNeGlS8bW3YfNVv4ZT6dGrVGrV/aFO+jaY5jnEzN+BEmRHVdHUpN/aTf2yS4Yubs/ugLuU3Z/dQPyBrmNpuvY0yNc6yT81q3NdMGSXG84nlAA9gCq4sB5JLQ5sjER/dYZVtXNew44DVE6ekbVrRyJjDLJFwHyu8glHI2sIIJxLr9ZEfT6oJJMxabOMR/dJPKbs/ujKDQ9zx7Ton5KKnkLGuBEyERNDtbdh80h2tuw+akRFxHDtbdh80h2tuw+akRDEcO1t2HzSHa27D5qREMRw7W3YfNIdrbsPmpEQxHDtbdh80h2tuw+akRDEcO1t2HzSHa27D5qREMRw7W3YfNIdrbsPmpEQxHDtbdh80h2tuw+akRDEcO1t2HzSHa27D5qREMaQ7W3YfNYh2tuw+akRDEcO1t2HzSHa27D5qREMRw7W3YfNIdrbsPmpEQxHDtbdh80h2tuw+akRDGkO1t2HzWIdrbsPmpEQxHDtbdh81lhN4MXalutGe07r8EFWr78fB4qVRVffj4PFSoooqX4g/B4qVRUvxB+DxQVsj/H5T8LfoF1lycj/AB+U/C36BdZad3zPU+Mu14vu/RERZtWFzqm47obdovuAiY9p9mI/N7S6K5tWvSbUcHU7Ti28mPZLna9Fxk9IRFhu52aUSWmNzABEXXYXxGtQmpSc0gte2S7CZuf0YS5SmoyzScW3PIsh0Q2RIxuB6lE/KG2DulIRxpvEQHxeTrN6KkeymWUotWS5tmOq6Z0RioS7Jmw0tIxgcaLiR9ZjrVgVqdlhDRxi26666ROy75KJ2UUx/wBnEE4Nwvn6HaNa6jmpW06bQ1zW3PI0kaLionVaIIJkQHNGN15m/WbBU1Cox5c0NuaGmDheJEDQoBldLDcsQSbmxdM9enaiJy5jQHgkboRr0i6QcMFCKlAflIPG0GcSDeNZB/ZWxrs0sYAHMAvF8xB+UnYtWZRSqGDTgGZJAgSCTOwz0outntoBrXuFzoibWqB2Y9qlqPYKzAWy8i52rHyKxviHFgZgQGwRgRMxoFyhOXMdeGAkB8TEmADA6wexc5/Dhmq+nbcDTJIN/TMYbQryrVXUw1ryxptFt8A9XX8lozOAN4YYhxvieKAYjXf2JlIuoquT5XbqPYWxZAg3w66+DpAkKOlnIOEilU06Jw6kdLyLmDOjonc9AOJ0if7DqU1TLHNxYAeNxbV5DRcfpt6FNTYuoqeT5dacQ4BogXzpMRtJuW9bKbNWnTskh0yb+LqnrvVl0l1YWVVq5UWvcNzc4AN9m8kmdGq5Q1M4kEgNDoLhceT+70vBbjoIqD8veG2tz4piDauJv8hHWFYq5QAWgFvGkXnSBPgmmp0UOTVxUY0yJLQ4gHCf+DsULcrduVWoWRYtFon2g3/hFXEVI5wESGkARxneybwLnaVqzLyXhtjFxGOqO2+/qUtxLcX0UdCpbYx8RaaDGqRKkVUREQEREBERAREQEREBERAREQEREBERAREQFGz2ndfgpFGz2ndfgiK1X34+DxUqiq+/HweKlRRRUvfn4PFSqKl78/B4oK2R/j8p+Fv0C6y5OR/j8p+Fv0C6y07vmep8Zdnxfd+iwsos2rCoOylzXua2naukuAOlztQ0RhiZuV9UXGtbIZ7EY3Y2nTE6fZjRrREorGGEMhzotjEtkSZjpuUTq9VrSXsBvM3HlQ26+br1KDUss5V26QOi+J0T2KMsrNbc4uMnkyZddsait35S+y0imSTFoX3XdSjGV1YncjgboM3RH1Oy5SP3YtZEBwi1hBu81oBlETImDddGiPn7XZKsc1sazyAXU4vaIgk3gTo0SdizQyh7iLTSxt+IOIiOrE7FkCrAJMmW3CBdAtds9ixR3WQamF4IF+qLh/mGxBq/KqgcQKUtm4ibxsWgyqsZG5ESDBg3ENmNt3ToW7t3tGzFmbugLQMygyCQJB1XGz2CcO1VFllR7nEWLLbiHHTruxCj3apHsjB8mHaDxYGmfBTh/QZ0j+6gs1oxmLWNm+/i6NUrny71jdXC+ybyz8pwOOy9a77q6aJwJuk6J1fJbNFYgTIPEmLN/LAW1d1QxueozIi/RimH5T+FNzntvYGAAXHqE+IU9Iy1pOoKsG1YvJMlmq4SLXitaLaraJaSd10GJH1I+nUhurqKkG5RZh0aL2mCNZOj5KPcsp5WvT0ef7GCl4S3HRIQiVTydtZpJfxhAESOgdl8+KkqtfurHCbABtAa9GnwKQlWAALgiq1G1S5zmOuIAAdcBjauiZwUb6dY+zIMuiXCIiB239CtLwvIucaOU6HduzYcfHBWclFRsh98uMHULvFTUlWIWC0EyReFUyoVwXmkZkCyDZgG+enk9qlpufxg8aeLZ1dehV0nRUAzKLABiQ0ab7Qxk6pnBWKgeXsImATIm4jzSidZUFa26mC2Wu4pI4sxItC+RhKhacotGQLNo6pDbv8A5diC6sKpU3UvJp3CzdawJnViI7Z6ltkwqNJt3y4wdQQWUUJc8VDPu4ugafleoXNr8ewQAXGC43xAiPnOKC4iqOZV3KyDx9c6Jw2QtsmFRpNuXS4wZFwv7MB+5U1NWUUJc8VDPu7OgfmnaoLNeXWYALjFozdoI8iqq6ipuZW3AtB+8gwSekxfffEKxRtS+1ha4vVA8ZUSVIiyiqsIsogwiyiDCLKIMIsogwtGe07r8FIo2e07r8ERT3Vr60tMiyR8w4g9oVhc3NvtH4qn/wCxy6SKKKl78/B4qVRUvfn4PFBWyP8AH5T8LfoF1Vz8myh7ssr0yeK0NgQNI1rorTueZ6nxl2vF936IiLNqwqDqVRzyWvstjCcTadI6J4t+iFfVZzAS4l0Xxg3UNYQA19mmC69sWjMW7r8Om9RHJXNbxHmZJ9o3lzpvPVct6rGsALnmD+lnktKjmtcwS8hwmQ1kAdN12KImsPssFoEtLZM4xiot7VI97fZImTps+Id1T0LRlekQDujgCYEtbfh0dIWN3pcX7x3Gw4jb745KumJTQqQIq3yLydAAnaZ0aUdQeR7zjWHNm0cTEOj5YaJUO+aP8x39DfT+4W1KtSeQBUdJ/Q30ppi1SaQ5xuAIECdIxP0HyU0hQb2/UdjPJN7fqOxnkoJ7Q1rFoa1Dvb9R2M8lCxlokFxFnU1l/GcL7ugILtoa0tDWq25DlO/pZ5LG4Afnd/SzyQWrQ1paGtVdwB/O7+lnkm5DlO/pZ5ILVoa0tDWqu4gfnd/SzyQ0Ry3f0s8kFq0NaWhrVXcQPzu/pZ5JuA5bv6WelBatDWsWhrVbcxynf0s8k3ED87v6WeSC1aGtLQ1qsKAOD3D/ACs8ltvb9R2M8kE9oa0tDWod7fqOxnkm9v1HYzyQTWhrS0Nag3t+o7GeSb2/UdjPJBPaGtLQ1qDe36jsZ5Jvb9R2M8kOU9oa0tDWoN7fqOxnkm9v1HYzyQ5T2hrSRrUG9v1HYzyTe36jsZ5Icp7Q1paGtQb2/UdjPJN7fqOxnkhyntDWloa1Bvb9R2M8k3t+o7GeSHKe0NaWhrUG9v1HYzyTe36jsZ5Icp7Q1paGtQb2/UdjPJN7fqOxnkhyntDWloa1Bvb9R2M8k3t+o7GeSHKe0NaWhrUG9v1HYzyTe36jsZ5Icp7Q1paGtQb2/UdjPJN7fqOxnkhyntDWloa1Bvb9R2M8k3t+o7GeSHKe0Na0Zi7r8FHvb9R2M8lvQEWhjB1DUNSCvV9+Pg8VKoqvvx8HipUUUVL35+DxUqipe/PweKCtkf4/Kfhb9AusuTkf4/Kfhb9AustO75nqfGXa8X3foiIs2oo6WL/i8ApFHSxf8XgEGzmg4gHrWlao1gFrA3YKVQ5RUY0C3hOqUEdbKqbItYESOLNyDLKRaXi8NIBuwk9K2q5VTYAXGBEi44LWnlVF7w0EF3UdXkgzRymlUcQ28xJ4pF3zVgNGpVP4jRvh1/Q0zcpKWW03kNabzhcfr8jsQWEREGCqtEXv/f53q0q+S+0/5/73oK9PN9ms6rdJ0Wb9s9Cky/JDWpOphzmWhFpuIVxEFHNuQ73pNpAlwbN5xvJPijsiJqtqS65tmzN2M/vXdqV9R1qthswTeBA1kgD6oNSwwq+R5HuVrjOdaeXcYzE6tm0kqYZQThTcfmzzWd2d/KftZ5oK2X5Bu1njObZdNx/d91x0K0GmMFjdnfyn7WeaiOcGgwRB+On6kGlDIyx1ri4EXNgmSDeZvwTOGRbuwsmOmJ0fvYpG5aDg0nqdT9Sk3d38p+1nmg1ySjubWt1CMI7NSsqDdnfyn7WeakpVA5rXDBwBHzQboiwUGUULcqpktAcJfNnpjFY3wSXBtNzoMSC2O09KCdFBuzv5T9rPNN2d/KftZ5oJ0UG7O/lP2s803Z38p+1nmgnRQbs7+U/azzTdnfyn7WeaCdFFTrWnFpa5pAm+NPUTqUqAiIgIiICIiAiIgIiICIiAiIgKOli/4vAKRR0sX/F4BBWq+/HweKlUVX34+DxUqAoqXvz8HipVFS9+fg8UFbI/x+U/C36BdZcnI/x+U/C36BdVad3zPU+Mu14vu/WURFm1FHSxf8XgFIo6WL/i8AgkUOUVGNAt4TqlSqLKKjGgW8J1Sg0rZZSphpcYBF3FJu+Q6FE7L8nwJ/0O8ursUlWvSbYLow4pskwD0xctBnGibp/0nDYgko5TSeYbjfdZIwx+o2qwGjUqzcrpEboMJsg2TN4k3Y/8LU5zoj8xxj2SguItKTw5rXDBwB2rdBhV8l9p/wA/971YVfJfaf8Av870FlERBpUqBrS5xgDEqvlFZr2AtIMVGD522qxVpB7bLpjoJGHUq2UUGMYA0QN0YfnaaPogioMIaalOHOD6ktbxQ7jmZke0Ix0nTBlXN8MsGpaFgAknQIx+i0yIyw3zx33xH5yqeUsLq4sgupssuqMEQXEy09Y9oj4eo95tEzaBr8aqCGH2aXR+vWf04DpVluTUwIDGgag0Ldjw4BzSCCJBGBCyubaIXZHSONJh62hRHNtEewwUzrp8Q9mPzVxYTaIMgql9Ck917nMa49ZAJWci9zT+Bv0UWafwuT/4TP8AaFLkXuafwN+idXmidYIWVgm7WoIGZHTBaQ08SbPGOnHSs5MINSLuP4BQ0sqqE0waZAdatGDdGGOu/HUpsmN9SRHH8AgmWURAREQEREEI96fgH1KmUI98fgH1KmQEREBERAREQEREBERAREQEREBR0sX/ABeAUijpYv8Ai8AgrVffj4PFSqKr78fB4qVAVCvWYXkOpucQY4t/kO1fNOGececd3T9KcM84847un6UH0mk+i9waKb77gb409PR29CzWY1oabLTOiTI7V814Z5x5x3dP0rU/a/Lz/wB8f+ql6UH07JabHgyyI6St6uTsbZinMuAN5uGtfLx9ss4DDKI//FS9Kzwzzjzju6fpQe4zznDe1UMbRY8Q0mXOtXzo1XLrGg3dbG5mzZm1JiZwXy5/2uy9xl1ZpOs0aR//AJW/DPOPOO7p+lB9GovY6u6luUBs3yZu1jp8QqWUlwympTaSGtAIAA0xr614bhnnHnHd0/Sqlf7Q5XUcXvqy44mwwfQLXtdXT03/AEy7vT1dU/zXvN2eKrW25FtoIIEwY812coaGOIFFzhGi0vlDc+5UCCKt4MjitxHyV3hnnHnHd0/Sr3evo6s/GOez0dfTv5V9Jr2WmBRe7qnDo6VK6g3c7YpmbMhpJmYw618x4Z5x5x3dP0pwzzjzju6fpWLd9HJaDG4OMXOgkwYBu14j9hb2WwSKLriMZvnUvmvDPOPOO7p+lOGececd3T9KD6TWDW4UXO6p0EjwU9GhTe0O3NzZ0OkFfL+Gececd3T9KcM84847un6UH1PelPk9pTelPk9pXyzhnnHnHd0/SnDPOPOO7p+lB9T3pT5PaU3pT5PaV8s4Z5x5x3dP0pwzzjzju6fpQfU96U+T2lN6U+T2lfLOGececd3T9KcM84847un6UH1PelPk9pTelPk9pXyzhnnHnHd0/SnDPOPOO7p+lB9IfZa4g0HkA4tDjcstLLTWmi8F0x8hOvoXzbhnnHnHd0/SnDPOPOO7p+lB9Jln8ipsKjFVpE73qRjgcLvNfOuGececd3T9KcM84847un6UH03J6THyTScyOVIKm3pT5PaV8s4Z5x5x3dP0pwzzjzju6fpQfU96U+T2lN6U+T2lfLOGececd3T9KcM84847un6UH1PelPk9pTelPk9pXyzhnnHnHd0/SnDPOPOO7p+lB9T3pT5PaU3pT5PaV8s4Z5x5x3dP0pwzzjzju6fpQfU96U+T2lVa7Q14aKLnN5QtdM9tnadS+bcM84847un6U4Z5x5x3dP0oPpVEMc4tNB7RrdMaO287FHTINgGg8Won2uLJA8TsXznhnnHnHd0/SnDPOPOO7p+lB9NyqiymwuDJjpKzktFlRgcWRPSV8x4Z5x5x3dP0pwzzjzju6fpQfSrLb4pOkNJvtRMxGvpRzWCydydBEn2pnSLsIXzXhnnHnHd0/SnDPOPOO7p+lB9IeALJFF14kjjSL42wpsooNaAQy1Ji6TA1r5jwzzjzju6fpThnnHnHd0/Sg+jOqMmBQfMSRfMfvxWxAsWhQdaJIDSSJ1dXhevm/DPOPOO7p+lOGececd3T9KD6QXM5vVvwuPmhLLvuKk9RXzfhnnHnHd0/SnDPOPOO7p+lB9Qbk7Cy1Y0G6So2U6ZDSWAT7XGPFu0r5nwzzjzju6fpThnnHnHd0/Sg+lGxJ+4eY0jAjWL1oHNi/J6k9AOpfOOGececd3T9KcM84847un6UH0k7nZadydJMWb7QF98fLtQWCQNweL8TML5twzzjzju6fpThnnHnHd0/Sg+kUcoaL20alqD2f8K9RqWmhxBbOg4r5Twzzjzju6fpThnnHnHd0/Sg4KIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiIP/Z\n", + "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/bSVj6UND89c\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7f33d2671070>" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "YouTubeVideo('bSVj6UND89c')" ] }, { @@ -2940,7 +3040,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -2953,7 +3053,7 @@ "25.3" ] }, - "execution_count": 17, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -3004,7 +3104,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 26, "metadata": {}, "outputs": [ { @@ -3017,7 +3117,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "5cdc978dc83d459c8404a9134d2c550d", + "model_id": "2b07e220f86742298c0858e94794e6ef", "version_major": 2, "version_minor": 0 }, @@ -3052,7 +3152,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -3065,7 +3165,7 @@ "39.05" ] }, - "execution_count": 19, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -3104,7 +3204,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 28, "metadata": {}, "outputs": [ { @@ -3121,18 +3221,18 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "95fb1027fa82417799c7cffffaba0d61", + "model_id": "48644b90d4dd42fc803a9b9a05e48eee", "version_major": 2, "version_minor": 0 }, - "image/png": 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", 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", 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' 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' width=1000.0/>\n", " </div>\n", " " ], diff --git a/tour3_nonlinear_bond/3_2_anchorage_length.ipynb b/tour3_nonlinear_bond/3_2_anchorage_length.ipynb index f77918b42890753f7268d36f6c233b4cf8526f83..bf393fc2710abc581822f9ec5bd699b16e9f4ad0 100644 --- a/tour3_nonlinear_bond/3_2_anchorage_length.ipynb +++ b/tour3_nonlinear_bond/3_2_anchorage_length.ipynb @@ -11,7 +11,41 @@ "<a id=\"top\"></a>\n", "# **3.2 Pullout curve versus bond length**\n", "\n", - "<a href=\"https://moodle.rwth-aachen.de/mod/page/view.php?id=551819\"><img src=\"../icons/bmcs_video.png\" alt=\"Run\"></a> part 1" + "<!-- <a href=\"https://moodle.rwth-aachen.de/mod/page/view.php?id=551819\"><img src=\"../icons/bmcs_video.png\" alt=\"Run\"></a> part 1 -->" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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\n", + "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/CMJaIZmgD2Q\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7fd9f4d147f0>" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import YouTubeVideo\n", + "YouTubeVideo('CMJaIZmgD2Q')" ] }, { @@ -177,7 +211,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ @@ -189,7 +223,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -202,7 +236,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "b7b7674bbf42409d9e919b8e781e00b5", + "model_id": "a85946281e074752b4dd3d18375d5f62", "version_major": 2, "version_minor": 0 }, @@ -219,6 +253,7 @@ "po_trc.material_model='trilinear'\n", "po_trc.geometry.L = 100\n", "po_trc.material_model_.trait_set(E_m=28000, E_f=180000, tau_1=5.5, tau_2=8, s_1=0.07, s_2=6)\n", + "# po_trc.tline.step = 0.05\n", "po_trc.interact()" ] }, @@ -243,7 +278,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -284,16 +319,20 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 25, "metadata": {}, "outputs": [ { "data": { + "image/png": "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\n", + "text/latex": [ + "$\\displaystyle 200.07$" + ], "text/plain": [ "200.07" ] }, - "execution_count": 4, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -322,13 +361,13 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "a97cd273bfa148569b7a6bd8d0419842", + "model_id": "8faf08b9b37140bca4505411999554f8", "version_major": 2, "version_minor": 0 }, @@ -398,8 +437,8 @@ "source": [ "# **Case study 2: Anchorage and constant bond-slip law**\n", "\n", - "<a href=\"https://moodle.rwth-aachen.de/mod/page/view.php?id=551819\"><img src=\"../icons/bmcs_video.png\" alt=\"Run\"></a> part 2\n", - "\n", + "<!-- <a href=\"https://moodle.rwth-aachen.de/mod/page/view.php?id=551819\"><img src=\"../icons/bmcs_video.png\" alt=\"Run\"></a> part 2\n", + " -->\n", "The first study using a hardening law has shown that the maximum pullout force increases nearly linearly\n", "up to the failure of the reinforcement. Derivation of such a trend was our goal to have an idea how \n", "to derive a formula for the assessment of anchorage length. \n", @@ -410,7 +449,40 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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\n", + "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/vBmCr7c5yrU\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7fd9f49e39a0>" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "YouTubeVideo('vBmCr7c5yrU')" + ] + }, + { + "cell_type": "code", + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ @@ -434,7 +506,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 29, "metadata": {}, "outputs": [ { @@ -448,7 +520,7 @@ "╲╱ A_fâ‹…E_fâ‹…p_bâ‹…Ï„â‹…w " ] }, - "execution_count": 8, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" } @@ -471,7 +543,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 30, "metadata": {}, "outputs": [ { @@ -484,7 +556,7 @@ "L_bâ‹…p_bâ‹…Ï„" ] }, - "execution_count": 9, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } @@ -510,7 +582,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 31, "metadata": {}, "outputs": [ { @@ -527,7 +599,7 @@ "⎩ " ] }, - "execution_count": 10, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -570,7 +642,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 32, "metadata": {}, "outputs": [ { @@ -583,7 +655,7 @@ "80.028" ] }, - "execution_count": 11, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" } @@ -603,13 +675,13 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "0111f60049bf4953aaa70e72595ef183", + "model_id": "c65d88bc3ec441188af1848e51e337ae", "version_major": 2, "version_minor": 0 }, @@ -668,7 +740,40 @@ "source": [ "# **Case study 3: CFRP sheet revisited**\n", "\n", - "<a href=\"https://moodle.rwth-aachen.de/mod/page/view.php?id=551819\"><img src=\"../icons/bmcs_video.png\" alt=\"Run\"></a> part 3" + "<!-- <a href=\"https://moodle.rwth-aachen.de/mod/page/view.php?id=551819\"><img src=\"../icons/bmcs_video.png\" alt=\"Run\"></a> part 3 -->" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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\n", + "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/t0_atbKAfRE\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7fd9f4a39820>" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "YouTubeVideo('t0_atbKAfRE')" ] }, { @@ -687,7 +792,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 35, "metadata": {}, "outputs": [ { @@ -700,7 +805,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "a6a893d16c3d43f0859cf1db6ba1ee31", + "model_id": "54397d47cb114a6abf7b9de260754474", "version_major": 2, "version_minor": 0 }, @@ -739,7 +844,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 36, "metadata": {}, "outputs": [ { @@ -783,13 +888,13 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "08941c5e174648b0a106ab54946e37e4", + "model_id": "59347f141aa94feb93f8032fcdcdb8a5", "version_major": 2, "version_minor": 0 }, diff --git a/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb b/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb index 009feb8335d3c11da9bb1f57f890d95a5c5480bc..8f71ef64e28435229b9d6ff4a766b011290435c9 100644 --- a/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb +++ b/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb @@ -12,7 +12,41 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "[](https://moodle.rwth-aachen.de/mod/page/view.php?id=551829) part 1" + "<!-- [](https://moodle.rwth-aachen.de/mod/page/view.php?id=551829) part 1 -->" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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\n", + "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/SCuoGg7_8GE\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7fedddfdc6d0>" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import YouTubeVideo\n", + "YouTubeVideo('SCuoGg7_8GE')" ] }, { @@ -84,7 +118,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -119,7 +153,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -132,7 +166,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "ca8a891f35f449b48af22b8ffb3edc84", + "model_id": "25324c4f61cb4d15919379b74f8ee62f", "version_major": 2, "version_minor": 0 }, @@ -159,7 +193,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -177,7 +211,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -190,7 +224,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "a3386a83b8144fb3a2f3c5f64e40204f", + "model_id": "715f3f63cb80433abea78ec23a6abccb", "version_major": 2, "version_minor": 0 }, @@ -239,7 +273,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "c8a40e7c91e742b5b46a3bb30e7a6ca1", + "model_id": "8d88aff7a19c4a5bb136a26615b8243d", "version_major": 2, "version_minor": 0 }, @@ -293,7 +327,40 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "[](https://moodle.rwth-aachen.de/mod/page/view.php?id=551829) part 2" + "<!-- [](https://moodle.rwth-aachen.de/mod/page/view.php?id=551829) part 2 -->" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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"cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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\n", + "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/OLMa5bYffSA\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7f54082474c0>" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import YouTubeVideo\n", + "YouTubeVideo('OLMa5bYffSA')" ] }, { @@ -67,7 +101,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 43, "metadata": {}, "outputs": [ { @@ -80,7 +114,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "98f42979accc40d7848695d7004fcc0a", + "model_id": "f14faca1952c4872b4afda48424fbd26", "version_major": 2, "version_minor": 0 }, @@ -111,7 +145,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 44, "metadata": {}, "outputs": [ { @@ -124,7 +158,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "0c7c593a610549f58bccfa3bcbbd9256", + "model_id": "52be50b41bdc4818ae54c36ab081e858", "version_major": 2, "version_minor": 0 }, @@ -186,7 +220,40 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "[](https://moodle.rwth-aachen.de/mod/page/view.php?id=615712) part 2" + "<!-- [](https://moodle.rwth-aachen.de/mod/page/view.php?id=615712) part 2 -->" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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+ "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/BlsIRMT7SEo\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7f54081a7be0>" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "YouTubeVideo('BlsIRMT7SEo')" ] }, { @@ -235,7 +302,40 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "[](https://moodle.rwth-aachen.de/mod/page/view.php?id=615712) part 3" + "<!-- [](https://moodle.rwth-aachen.de/mod/page/view.php?id=615712) part 3 -->" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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\n", + "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/QOALP75E4uU\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7f5408153280>" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "YouTubeVideo('QOALP75E4uU')" ] }, { @@ -254,7 +354,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 47, "metadata": { "slideshow": { "slide_type": "skip" @@ -330,7 +430,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 48, "metadata": { "slideshow": { "slide_type": "fragment" @@ -349,7 +449,7 @@ "-Ï„_Y + ╲╱ \\tau " ] }, - "execution_count": 4, + "execution_count": 48, "metadata": {}, "output_type": "execute_result" } @@ -387,7 +487,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 49, "metadata": { "slideshow": { "slide_type": "fragment" @@ -404,7 +504,7 @@ "E_bâ‹…(s - sâ‚šâ‚—)" ] }, - "execution_count": 5, + "execution_count": 49, "metadata": {}, "output_type": "execute_result" } @@ -489,7 +589,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 50, "metadata": { "slideshow": { "slide_type": "fragment" @@ -510,7 +610,7 @@ " \\tau " ] }, - "execution_count": 6, + "execution_count": 50, "metadata": {}, "output_type": "execute_result" } @@ -620,7 +720,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 51, "metadata": { "slideshow": { "slide_type": "fragment" @@ -637,7 +737,7 @@ "E_bâ‹…(\\dot{s} - \\dot{s}__\\mathrm{pl})" ] }, - "execution_count": 7, + "execution_count": 51, "metadata": {}, "output_type": "execute_result" } @@ -663,7 +763,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 52, "metadata": { "slideshow": { "slide_type": "fragment" @@ -684,7 +784,7 @@ " \\tau " ] }, - "execution_count": 8, + "execution_count": 52, "metadata": {}, "output_type": "execute_result" } @@ -707,7 +807,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 53, "metadata": { "slideshow": { "slide_type": "fragment" @@ -728,7 +828,7 @@ " ╲╱ \\tau " ] }, - "execution_count": 9, + "execution_count": 53, "metadata": {}, "output_type": "execute_result" } @@ -792,7 +892,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 54, "metadata": { "slideshow": { "slide_type": "fragment" @@ -809,7 +909,7 @@ "{\\dot{s}__\\mathrm{pl}: \\dot{s}}" ] }, - "execution_count": 10, + "execution_count": 54, "metadata": {}, "output_type": "execute_result" } @@ -854,7 +954,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 55, "metadata": { "slideshow": { "slide_type": "fragment" @@ -871,7 +971,7 @@ "{\\dot{\\tau}: 0}" ] }, - "execution_count": 11, + "execution_count": 55, "metadata": {}, "output_type": "execute_result" } @@ -880,6 +980,48 @@ "{dot_tau: sp.simplify(dot_tau_.subs(dot_s_pl, dot_s_pl_).subs(lambda_, lambda_solved))}" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## **Hardening - elastic domain changes during yielding**\n", + "\n", + "<!-- [](https://moodle.rwth-aachen.de/mod/page/view.php?id=615712) part 4 -->" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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\n", + "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/Nu86DjtFKQk\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7f5408babeb0>" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "YouTubeVideo('Nu86DjtFKQk')" + ] + }, { "attachments": { "image.png": { @@ -893,10 +1035,6 @@ } }, "source": [ - "## **Hardening - elastic domain changes during yielding**\n", - "\n", - "[](https://moodle.rwth-aachen.de/mod/page/view.php?id=615712) part 4\n", - "\n", "The derivation scheme presented above can be used for more general assumptions describing the inelastic range of the material behavior. In this section, we will include the next dissipative mechanism, namely isotropic hardening. In simple terms we now allow the growth of the elastic domain with a variable $Z$.\n", "\n", "\n", @@ -923,7 +1061,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 57, "metadata": { "slideshow": { "slide_type": "fragment" @@ -942,7 +1080,7 @@ "-Z - Ï„_Y + ╲╱ \\tau " ] }, - "execution_count": 12, + "execution_count": 57, "metadata": {}, "output_type": "execute_result" } @@ -975,7 +1113,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 58, "metadata": { "slideshow": { "slide_type": "fragment" @@ -992,7 +1130,7 @@ "{\\dot{Z}: Kâ‹…\\dot{z}, \\dot{\\tau}: E_bâ‹…(\\dot{s} - \\dot{s}__\\mathrm{pl})}" ] }, - "execution_count": 13, + "execution_count": 58, "metadata": {}, "output_type": "execute_result" } @@ -1050,7 +1188,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 59, "metadata": { "slideshow": { "slide_type": "fragment" @@ -1071,7 +1209,7 @@ "⎩ \\tau âŽ" ] }, - "execution_count": 14, + "execution_count": 59, "metadata": {}, "output_type": "execute_result" } @@ -1105,7 +1243,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 60, "metadata": { "slideshow": { "slide_type": "fragment" @@ -1126,7 +1264,7 @@ "⎩ \\tau âŽ" ] }, - "execution_count": 15, + "execution_count": 60, "metadata": {}, "output_type": "execute_result" } @@ -1151,7 +1289,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 61, "metadata": { "slideshow": { "slide_type": "slide" @@ -1172,7 +1310,7 @@ "⎩ \\tau âŽ" ] }, - "execution_count": 16, + "execution_count": 61, "metadata": {}, "output_type": "execute_result" } @@ -1195,7 +1333,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 62, "metadata": { "slideshow": { "slide_type": "fragment" @@ -1216,7 +1354,7 @@ " \\tauâ‹…(E_b + K) " ] }, - "execution_count": 17, + "execution_count": 62, "metadata": {}, "output_type": "execute_result" } @@ -1247,7 +1385,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 63, "metadata": { "slideshow": { "slide_type": "fragment" @@ -1268,7 +1406,7 @@ "⎩ E_b + K \\tauâ‹…(E_b + K) âŽ" ] }, - "execution_count": 18, + "execution_count": 63, "metadata": {}, "output_type": "execute_result" } @@ -1292,7 +1430,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 64, "metadata": {}, "outputs": [ { @@ -1307,7 +1445,7 @@ "⎩ E_b + K âŽ" ] }, - "execution_count": 19, + "execution_count": 64, "metadata": {}, "output_type": "execute_result" } @@ -1342,6 +1480,48 @@ "<font color=\"green\">**How to transform the differential continuous evolution equations into an algorithm that can simulate the material response to variable loading?**</font>" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# **Numerical iterative solution**\n", + "\n", + "<!-- [](https://moodle.rwth-aachen.de/mod/page/view.php?id=615712) part 5 -->" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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\n", + "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/hfP8hcqWfbg\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7f54081b4be0>" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "YouTubeVideo('hfP8hcqWfbg')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -1350,10 +1530,6 @@ } }, "source": [ - "# **Numerical iterative solution**\n", - "\n", - "[](https://moodle.rwth-aachen.de/mod/page/view.php?id=615712) part 5\n", - "\n", "<div style=\"background-color:lightgray;text-align:left\"> <img src=\"../icons/evaluate.png\" alt=\"Evaluate\" width=\"40\" height=\"40\">\n", " <b>How to get numbers?</b> </div>" ] @@ -1641,7 +1817,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 66, "metadata": {}, "outputs": [ { @@ -1651,7 +1827,7 @@ " 1.76641039, 2.05694336, 2.31490712, 2.53621714, 2.71736924])" ] }, - "execution_count": 20, + "execution_count": 66, "metadata": {}, "output_type": "execute_result" } @@ -1667,16 +1843,16 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[<matplotlib.lines.Line2D at 0x7fee20a7bdf0>]" + "[<matplotlib.lines.Line2D at 0x7f54082f7bb0>]" ] }, - "execution_count": 21, + "execution_count": 67, "metadata": {}, "output_type": "execute_result" } @@ -1710,7 +1886,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 68, "metadata": { "scrolled": true, "slideshow": { @@ -1746,13 +1922,13 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "2aa4074c7f1942a39944b8645b38ef0a", + "model_id": "7a43a6b0c3ac4b5d80197ff5ac9006ae", "version_major": 2, "version_minor": 0 }, @@ -1819,7 +1995,40 @@ "source": [ "**Task:** To show that the derivation procedure is general, let us now extend the with kinematic hardening $X = \\gamma \\alpha$. The following video shows how to do it.\n", "\n", - "[](https://moodle.rwth-aachen.de/mod/page/view.php?id=615712) part 6" + "<!-- [](https://moodle.rwth-aachen.de/mod/page/view.php?id=615712) part 6 -->" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "image/jpeg": 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+ "text/html": [ + "\n", + " <iframe\n", + " width=\"400\"\n", + " height=\"300\"\n", + " src=\"https://www.youtube.com/embed/ItmQQ9yQDjI\"\n", + " frameborder=\"0\"\n", + " allowfullscreen\n", + " \n", + " ></iframe>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.YouTubeVideo at 0x7fadf82b9160>" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import YouTubeVideo\n", + "YouTubeVideo('ItmQQ9yQDjI')" ] }, { @@ -134,7 +168,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "c62e49689b8d448e8cdfbea42b3e07d9", + "model_id": "f7ce660e24f349a0860ffc5ed0cadda3", "version_major": 2, "version_minor": 0 }, @@ -179,7 +213,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "672a979f5691473cbeacda70368c0121", + "model_id": "6b483b7de0bf4420a3bd1acc7b4f9490", "version_major": 2, "version_minor": 0 }, @@ -218,14 +252,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "init call\n", "Warning: Update progress bar from model - not implemented yet\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "3b3c476b6b434d20ad3b9b4ea0bf9c42", + "model_id": "c1afe3e4279842c6b5ade4aee6f8a0b2", "version_major": 2, "version_minor": 0 }, @@ -315,7 +348,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "b8ac8c8d7a7044498904cbabf852369a", + "model_id": "8a6a3d0af4e04e738dae450992ea1a3c", "version_major": 2, "version_minor": 0 }, @@ -382,14 +415,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "init call\n", "Warning: Update progress bar from model - not implemented yet\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "9c358b71242f418a9e341eec4b7fb4bf", + "model_id": "f7ee37abfd554c3bbc328699a54c88cd", "version_major": 2, "version_minor": 0 },