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@cossatot
Created November 13, 2013 16:08
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mohr circle over eq cycle play
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"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Evolution of stress through the EQ cycle, from a 2d Mohr perspective"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%config InlineBackend.figure_format = 'retina'"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import matplotlib.animation as animation"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Reverse fault \n",
"\n",
"Fault dips at 30 deg. S1 increases with time to failure; S3 is constant."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s3 = 20\n",
"s1 = np.array([20, 30, 40, 50, 60, 70, 80, 90, 100])\n",
"\n",
"s_ = (s1 + s3) / 2.\n",
"r_ = (s1 - s3) / 2.\n",
"\n",
"s_f = s_ + (r_ * np.cos(2 * np.pi / 3) )\n",
"t_f = r_ * np.sin(2 * np.pi / 3)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = figure()\n",
"\n",
"for i, s in enumerate(s_):\n",
" fig.gca().add_artist( Circle( (s, 0), r_[i], fill=False, \n",
" color='b', alpha=0.4) )\n",
" \n",
" plot([s, s_f[i]], [0, t_f[i]], 'c', alpha=0.4)\n",
" \n",
"\n",
"# \n",
"plot(s_f, t_f, 'g*--')\n",
"\n",
"# plot failure envelope, coeff. fric. = 0.6\n",
"plot(np.array([0,120]), (np.tan( np.pi/6.)* np.array([0,120]) \n",
" + 11.8), 'r', alpha=0.6)\n",
"\n",
"plot(np.array([0,120]), (np.tan( np.pi/8.)* np.array([0,120]) \n",
" + 11.8), 'orange', alpha=0.6)\n",
"\n",
"axvline(color='k')\n",
"axhline(color='k')\n",
"axis('equal')\n",
"xlabel(r'$\\sigma$', fontsize=18)\n",
"ylabel(r'$\\tau$', fontsize=18)\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {
"png": {
"height": 277,
"width": 385
}
},
"output_type": "display_data",
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UVMA778DGjWZEIDoaHnkEJkwwJwSLIykIiIiIiMiNqa+Hjz6Cd9+F6mrweuHOO82ZAJGR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QpF26iMQAzQa+Rdr+tqE7db9C937hSrNVy38sgjLQvft0bAKZF/yx7whqVrEiLNv+nDeuwVKKzA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\nOIRt3vRXcB0AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x106800550>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Normal faulting\n",
"Fault dips at 60 degrees. S1 constant at 100, S3 decreases with time(!)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ns1 = 100\n",
"ns3 = np.array([100, 90, 80, 70, 60, 50, 40, 30, 20])\n",
"\n",
"ns_ = (ns1 + ns3) / 2.\n",
"nr_ = (ns1 - ns3) / 2.\n",
"\n",
"ns_f = ns_ + (nr_ * np.cos(2 * np.pi / 3) )\n",
"nt_f = -(nr_ * np.sin(2 * np.pi / 3) )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = figure()\n",
"\n",
"for i, s in enumerate(ns_):\n",
" fig.gca().add_artist( Circle( (s, 0), r_[i], fill=False, color='b',\n",
" alpha=0.4) )\n",
" plot([s, ns_f[i]], [0, nt_f[i]], 'c', alpha=0.4)\n",
"\n",
"plot(ns_f, nt_f, 'g*-')\n",
"\n",
"plot(np.array([0,120]), -(np.tan( np.pi/6.)* np.array([0,120]) \n",
" + 11.8), 'r')\n",
"\n",
"plot(np.array([0,120]), -(np.tan( np.pi/8.)* np.array([0,120]) \n",
" + 11.8), 'orange', alpha=0.6)\n",
"\n",
"axvline(color='k')\n",
"axhline(color='k')\n",
"axis('equal')\n",
"xlabel(r'$\\sigma_n$', fontsize=18)\n",
"ylabel(r'$\\tau_d$', fontsize=18)\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {
"png": {
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bQ2srpaMjlWhshm5oCO2+BEtWFv08flz8c0vvLbolkdaAt8jaovx4cBxQUyOu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\noFceJR0AAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x107a115d0>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That is sweet!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Thrust animation\n",
"\n",
"Same problem as above."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#set up steps\n",
"\n",
"s1a = range(20,101)\n",
"s1a.append(90)\n",
"s1a.extend( range(80,101) )\n",
"s1a.append(90)\n",
"s1a.extend( range(80,101) )\n",
"s1a.append(90)\n",
"s1a.extend( range(80,101) )\n",
"\n",
"s1a = np.array(s1a)\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# make animation\n",
"fig, ax = subplots()\n",
"\n",
"# plot failure envelope, coeff. fric. = 0.6\n",
"plot(np.array([0,120]), (np.tan( np.pi/6.)* np.array([0,120]) \n",
" + 11.8), 'r', alpha=1, label=r'$\\mu_s = 0.6$')\n",
"\n",
"plot(np.array([0,120]), (np.tan( np.pi/8.)* np.array([0,120]) \n",
" + 11.8), 'orange', alpha=1, label=r'$\\mu_k = 0.4$')\n",
"legend(loc='upper left')\n",
"\n",
"axvline(color='k')\n",
"axhline(color='k')\n",
"axis('equal')\n",
"xlabel(r'$\\sigma$', fontsize=18)\n",
"ylabel(r'$\\tau$', fontsize=18)\n",
"\n",
"\n",
"mohr = Circle( (-10, 0), radius=0, fill=False,\n",
" color = 'b', alpha=1)\n",
"\n",
"fail_pt, = ax.plot( [], [], 'g*')\n",
"\n",
"def init():\n",
" fail_pt.set_data([], [])\n",
" mohr.center = (20, 20)\n",
" mohr.radius = 0\n",
" ax.add_patch(mohr)\n",
"\n",
" return (mohr, fail_pt,)\n",
" \n",
"def update(s1a):\n",
" s3a = 20\n",
" \n",
" sa_ = (s1a + s3a) / 2.\n",
" ra_ = (s1a - s3a) / 2.\n",
" \n",
" sa_fail = sa_ + ra_ * np.cos(2 * np.pi / 3.)\n",
" ta_fail = ra_ * np.sin(2 * np.pi / 3.)\n",
" \n",
" fail_pt.set_data([sa_fail], [ta_fail])\n",
" mohr.center = (sa_, 0)\n",
" mohr.radius = (ra_)\n",
"\n",
" return (mohr, fail_pt,)\n",
"\n",
"anim = animation.FuncAnimation(fig, update, init_func = init,\n",
" frames = s1a, blit=False)\n",
"\n",
"anim.save('fail_anim.mp4', dpi=200, fps=20)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {
"png": {
"height": 277,
"width": 385
}
},
"output_type": "display_data",
"png": 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XJ0VIQUBERETEFdjtsHQpPPss7N9v2vr1g1dfhQYNrK1NLKEgICIiIlLcRUeb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rY2KygoMOecOeeCggC9CL+33nrLnHN21113WWtra2B8x44d5pyz+fPnmxm9iISf/vSn5pyz5cuX\nB43PmTPHnHO2detWM6MX4XDkyBG75ZZbAn+HPnvweTHbvLm52VJTUy03N9eam5sD41u2bDHnnK1Y\nsSL8T6gP+7xerF+/3pxztmzZsqDxN954w+Lj4+3GG28MjPXVXhAEYlxxcbE55+yDDz4IGq+vrzef\nz2f3339/lCqLbVdffbVlZGSEnMvJybHExETz+/22Zs0ac87Zzp07g9a0trZacnKy3XzzzZEo1zPW\nrVtnCQkJds8993QJAvQi/ObNm2dxcXFB74h1Kikpsccff9zM6EUkfOtb3zLnnP39738PGt+zZ485\n5+z73/++mdGLy62ystKuuOIK69evn919990hDz4vZps/88wz5pyzTZs2dfm/Ro0aZWlpaXbu3Lnw\nPJk+7kJ6MWbMGIuLiws6sO/U+T319fVm1nd7wWcEYlxVVZXS09OVn58fNJ6ZmakRI0aEPEcal8bv\n92vt2rUqLy8POZ+QkKCzZ8+qvb1dVVVVcs5pwoQJXdYUFhZq//79am5uDn/RHvDee+9pw4YNWrNm\njQoKCrrM04vw27Vrl0aPHq3c3Nwuc08//XTgho30IvwyMjIkSUeOHAkaP3r0qCQpPT1dEr243DZu\n3Kjhw4erqqpKc+fODbnmYrZ55z78rrvu6vI4d955pxoaGvT+++9f3icRIy6kF9/73vf02GOPadCg\nQV3mEhISJEktLS2S+m4vCAIxrK2tTXV1dcrJyQk5n52drdOnT6uhoSHClcU2n8+nhx9+WEuWLOky\nd+DAAR04cEA5OTnq37+/Dh06pIyMDA0YMKDL2uzsbEnSwYMHw11yzDt37pwWLlyovLw8rV69OnC3\n8E+jF+F14sQJnTp1SgUFBTpw4ICmTZumlJQUpaSkaObMmUEHpPQi/EpKSjRw4EAtX75c+/bt08cf\nf6w9e/Zo1apVSklJ0YIFCyTRi8vtmWee0d/+9jcVFhaG/DskXdw2P3TokJxzuv7667tdW1NTc3mK\njzEX0osHH3xQq1at6jJ+6tQp/fnPf9agQYMC27mv9oIgEMMaGxslSSkpKSHnk5OTJUlNTU0Rq8nL\n/H6/HnroIZmZFi9eLElqaGigPxHwxBNP6N1339XmzZu7vRkgvQiv+vp6SedfcR47dqxqa2u1aNEi\n3XHHHdqxY4cKCwtVW1sriV5EQn5+vvbu3avW1laNHz9egwYN0sSJExUfH6/q6mpdd911kujF5XbP\nPffIOdfjmovZ5g0NDUpISAi8Ot3TWgS7kF50Z+XKlWppadG8efMC+5S+2guCQAxrb2+XpJA/lJ8e\nb21tjVhNXmVmKikp0euvv64xY8Zo2bJlks73iP6E18GDB1VeXq6lS5dq7Nix3a6jF+HVednDqqoq\nTZs2TW+//baeeOIJ7dy5U0899ZROnDjB70UE1dbWas6cOaqvr9eUKVO0YsUKTZgwQbW1tVq8eHHg\ngIVeRN7FbHP6E3kVFRXaunWrsrOz9dhjjwXG+2ovCAIxLCkpSZJ09uzZkPNtbW2SpIEDB0asJi/q\n6OjQggUL9OyzzyonJ0cvvfSS4uPjJZ3vEf0JHzPTwoULdc0112j9+vU9rqUX4eXznd/dxMfHq7Ky\nMuiVuKVLl2r48OF69dVX9cknn9CLCCguLtYHH3yg7du368UXX9TPfvYzvf7663ryySdVXV0deNeS\nXkTexWxz+hNZ69at07p165SWlqadO3cGXumX+m4vCAIxLDk5Wc65bt+KampqknMu6AcZl9fHH3+s\nb37zm9q6davy8vK0e/duXXPNNYH51NTUHvsjif5cgk2bNqm6ulq//OUvQ55v++nzQulFeHVuu+zs\n7C6nPTjndOONN6q9vV21tbX0Isxqa2u1b98+3XnnnZoxY0bQ3LJly3TDDTfod7/7nVpaWuhFFFzM\nNk9NTVVra2vgDICe1uKLO3funBYtWqSKigplZGToT3/6k2644YagNX21FwSBGNa/f38NGzYs5J1s\nJenw4cNKT0/v9lxEXJrTp09r4sSJ2rVrl2655Rbt3btXQ4cODVqTl5enjz76KPBqwacdPnxYcXFx\nGjFiRKRKjjk7duyQJE2aNEk+ny/w9dRTT0k6f3UHn8+nf//738rLy9Px48fpRZhcf/318vl83b5i\n1rnzHDBgAL0Is7q6OknqciDTKT8/X36/X3V1dfQiCi5mv5CXlycz63L1p861kjRy5Miw1hvr2tra\nNHXqVG3ZskXDhw/X3r17NXr06C7r+movCAIxrqioSMeOHevySfX6+nrV1NSosLAwSpXFttbWVt13\n333661//qgkTJmjPnj1KS0vrsq6oqEjnzp3rchnX1tZW/eUvf1FBQUGvfCuxr3jwwQdVXl7e5avz\nswLz589XeXm5UlJSVFRUJL/fTy/CJDExUWPGjFFtba0OHToUNNfR0aH9+/frqquu0pAhQzR+/Hh6\nEUaZmZmSpA8//DDkfE1NjZxzysjI4PciCi5mv1BUVCRJ2rNnT5fH2bNnj1JSUroNfPh8Zqbi4mK9\n8sor+tKXvqTq6upur8TYZ3sRrRsYIDJee+01c87ZjBkzzO/3m5mZ3++3efPmhbxhCS6P5cuXB25J\n/uk7qH7WgQMHLD4+3saNG2dtbW2B8R//+Mfd3pgEl+4HP/hBlxuK0Yvw67zD5qRJk6y9vT0wvmHD\nBnPOWWlpqZnRi0gYO3as+Xw+e+mll4LGN2/eHOiRGb0Ip1/96lchb2J1Mdu8sbHRBg8ebLm5udbY\n2BgYf/bZZ805ZytXrgz/E4kB3fVi48aN5pyzvLw8a2ho6PEx+movCAIeMGvWLHPO2dixY23VqlVW\nVFRkzjmbOXNmtEuLSceOHbP+/fubc84WLlxojzzySMivzoDwox/9yJxzlp+fb2VlZTZ58mRzzllR\nUZGdPXs2ys8mNoUKAmb0IhKmTp1qzjkrKCiw0tJSmzRpkjnnbNSoUfbf//43sI5ehNf7779vV155\npcXFxdn9999vZWVldu+995pzzoYMGWJHjhwJrKUX4dHdwafZxW3zp59+2pxzdt1111lpaanNmjXL\n4uLibNSoUXb69OlIPZ0+LVQvWltbLS0tzZxzNn369G735cePHw98T1/sBUHAA9rb2+3RRx+1nJwc\nS0xMtJEjR1pFRQV/wMPk97//vTnnzOfzmXMu5JfP57OmpqbA92zatMkKCgosMTHRhg8fbqWlpUEH\nRbi8li1bZj6fr0sQMKMX4dbR0WGVlZWBbTx06FB76KGHgl5B60Qvwuvw4cM2f/58y8zMtH79+llW\nVpYtWbIk6MCmE724/J577jnz+Xwhg4DZxW3z7du326233mpJSUk2dOhQW7hwYcg+IrRQvXj33Xcv\naF++f//+oMfqa71wZt3cTg0AAABAzOLDwgAAAIAHEQQAAAAADyIIAAAAAB5EEAAAAAA8iCAAAAAA\neBBBAAAAAPAgggAAAADgQQQBAAAAwIMIAgAAAIAHEQQAAAAADyIIAAAAAB5EEAAAAAA8iCAAAAAA\neBBBAAAAAPAgggAAAADgQQQBAAAAwIMIAgAAAIAHEQQAAAAADyIIAAAAAB5EEAAAAAA8iCAAAAAA\neBBBAAAAAPAgggAAAADgQQQBAEBU/eEPf9D06dOVnZ2t+Ph4+Xy+Hr8GDx6sN998M9plA0CfFx/t\nAgAA3nT06FEtWLBAr732miTJORdy3WfH/X6/kpOTw14fAMQ6ggAAIOL+8Y9/aOLEiTpx4oRyc3P1\n8MMPq7CwUH6/X9XV1frJT36ipqYmpaamavfu3UpMTAx879VXX62UlJQoVg8AscGZmUW7CACAdxw9\nelS33nqrTp48qenTp+uFF15Q//79g9a8+eabGj9+vMxM27ZtU3FxcZSqBYDYxWcEAAAR4/f7NWfO\nHJ08eVJf+cpXQoYASbr99ts1ZswYSdLu3bsjXSYAeAJBAAAQMdu2bVNVVZXi4uK6DQGdsrOzJUl1\ndXURqg4AvIUgAACICL/fr0cffVSSNG3aNI0YMaLH9Y2NjZLUY1gAAHxxBAEAQETs27dPhw4dknNO\n3/3udz93fW1trSTp2muvDXdpAOBJBAEAQES8+uqrkqSEhAQVFRX1uLa+vl4HDx6UpM9dCwD4YggC\nAICIqKmpkSSNHj1aCQkJPa7dtWuXJCkxMVH33ntv2GsDAC8iCAAAIqKlpUWSlJmZ+blrf/7zn0uS\nFi1apNTU1LDWBQBeRRAAAEREVlaWJCkpKanHdS+//LLee+89paWlae3atZEoDQA8iSAAAIiIr3/9\n65Kkf/7zn92u+eijj7RkyRL5fD5t2bJFGRkZkSoPADyHIAAAiIhvfOMbuummm/TOO+/onXfe6TLf\n0tKiGTNm6MSJE9qyZYvuu+++KFQJAN5BEAAARER8fLx+85vfKDs7W9/+9rf19ttvS5La2tr04osv\nasyYMaqvr9cf//hHzZs3L8rVAkDsc2Zm0S4CAOAdjY2NevLJJ/Xb3/5WJ06cUFJSkkaNGqXi4mIV\nFxcrMTEx2iUCgCcQBAAAAAAP4tQgAAAAwIMIAgAAAIAHEQQAAAAADyIIAAAAAB5EEAAAAAA8iCAA\nAAAAeBBBAAAAAPAgggAAAADgQQQBAAAAwIMIAgAAAIAHEQQAAAAADyIIAAAAAB5EEAAAAAA8iCAA\nAAAAeBBBAAAAAPAgggAAAADgQQQBAAAAwIMIAgAAAIAHEQQAAAAADyIIAAAAAB70Py3VmAPl9jw0\nAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1077895d0>"
]
}
],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# make animation\n",
"fig, ax = subplots()\n",
"\n",
"# plot failure envelope, coeff. fric. = 0.6\n",
"plot(np.array([0,120]), (np.tan( np.pi/6.)* np.array([0,120]) \n",
" + 11.8), 'r', alpha=1, label=r'$\\mu_s = 0.6$')\n",
"\n",
"plot(np.array([0,120]), (np.tan( np.pi/8.)* np.array([0,120]) \n",
" + 11.8), 'orange', alpha=1, label=r'$\\mu_k = 0.4$')\n",
"legend(loc='upper left')\n",
"\n",
"axvline(color='k')\n",
"axhline(color='k')\n",
"axis('equal')\n",
"xlabel(r'$\\sigma$', fontsize=18)\n",
"ylabel(r'$\\tau$', fontsize=18)\n",
"\n",
"\n",
"mohr = Circle( (-10, 0), radius=0, fill=False,\n",
" color = 'b', alpha=1)\n",
"\n",
"fail_pt, = ax.plot( [], [], 'g*')\n",
"\n",
"def init():\n",
" fail_pt.set_data([], [])\n",
" mohr.center = (20, 20)\n",
" mohr.radius = 0\n",
" ax.add_patch(mohr)\n",
"\n",
" return (mohr, fail_pt,)\n",
" \n",
"def update(s1a):\n",
" s3a = 20\n",
" \n",
" sa_ = (s1a + s3a) / 2.\n",
" ra_ = (s1a - s3a) / 2.\n",
" \n",
" sa_fail = sa_ + ra_ * np.cos(2 * np.pi / 3.)\n",
" ta_fail = ra_ * np.sin(2 * np.pi / 3.)\n",
" \n",
" fail_pt.set_data([sa_fail], [ta_fail])\n",
" mohr.center = (sa_, 0)\n",
" mohr.radius = (ra_)\n",
"\n",
" return (mohr, fail_pt,)\n",
"\n",
"anim = animation.FuncAnimation(fig, update, init_func = init,\n",
" frames = s1a, blit=False)\n",
"\n",
"anim.save('normal_fail_anim.mp4', dpi=200, fps=20)"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## stress changes"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def tau(f_dip):\n",
" \"\"\" shear stress from horizontal unit force on \n",
" theta = dip + np.pi/2\n",
" tau = "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import halfspace.projections as hsp"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"T_x = hsp.make_xyz_stress_tensor(sig_xx=1)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"hsp.dip_shear_stress_from_xyz(strike=0, dip=45, stress_tensor=T_x)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 22,
"text": [
"0.5"
]
}
],
"prompt_number": 22
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"hsp.strike_shear_stress_from_xyz(0, 45, T_x)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 23,
"text": [
"0.0"
]
}
],
"prompt_number": 23
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"hsp.normal_stress_from_xyz(0, 45, T_x)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 24,
"text": [
"0.4999999999999999"
]
}
],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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