From 435840cef00c596d9e608f9eb2d96f522ea8505a Mon Sep 17 00:00:00 2001
From: hardythe1
Date: Tue, 5 May 2015 14:21:39 +0530
Subject: add books

---
 Mechanical_Metallurgy/Chapter_11.ipynb | 165 +++++++++++++++++++++++++++++++++
 1 file changed, 165 insertions(+)
 create mode 100755 Mechanical_Metallurgy/Chapter_11.ipynb

(limited to 'Mechanical_Metallurgy/Chapter_11.ipynb')

diff --git a/Mechanical_Metallurgy/Chapter_11.ipynb b/Mechanical_Metallurgy/Chapter_11.ipynb
new file mode 100755
index 00000000..c0c024dd
--- /dev/null
+++ b/Mechanical_Metallurgy/Chapter_11.ipynb
@@ -0,0 +1,165 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Chapter 11: Fracture Mechanics"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Example 11.1, Fracture Toughness, Page No. 354"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Since Fracture Toughness of the material is = 172.852 MPa\n",
+      " and the applied stress is 172 MPa thus the flaw will propagate as a brittle fracture\n"
+     ]
+    }
+   ],
+   "source": [
+    "\n",
+    "from math import sqrt\n",
+    "from math import pi\n",
+    "from math import cos\n",
+    "\n",
+    "#variable declaration\n",
+    "a=5;\n",
+    "a=a*10**-3;             #conversion to m\n",
+    "t=1.27;          #in cm\n",
+    "t=t*10**-2;        #conversion to m\n",
+    "def sec(x):\n",
+    "    return 1/cos(x);\n",
+    "\n",
+    "#calculation\n",
+    "K_Ic=24;\n",
+    "sigma=K_Ic/(sqrt(pi*a)*sqrt(sec(pi*a/(2*t))));\n",
+    "\n",
+    "#result\n",
+    "print('Since Fracture Toughness of the material is = %g MPa\\n and the applied stress is 172 MPa thus the flaw will propagate as a brittle fracture')%(sigma);"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Example 11.2, Fracture Toughness, Page No. 354"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      "Critical Crack depth = 15.4981 mm\n",
+      "which is greater than the thickness of the vessel wall, 12mm\n"
+     ]
+    }
+   ],
+   "source": [
+    "from math import pi\n",
+    "\n",
+    "#variable declaration\n",
+    "K_Ic=57;\n",
+    "sigma0=900;\n",
+    "sigma=360;\n",
+    "Q=2.35;\n",
+    "\n",
+    "#calculation\n",
+    "a_c=K_Ic**2*Q/(1.21*pi*sigma**2);\n",
+    "a_c=a_c*1000;                         #conversion to mm\n",
+    "\n",
+    "#result\n",
+    "print('\\nCritical Crack depth = %g mm\\nwhich is greater than the thickness of the vessel wall, 12mm')%(a_c);"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Example 11.3, Plasticity, Page No. 361"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      "Plastic zone size = 0.113177 mm\n",
+      "Stress Intensity Factor = 42.8659 MPa m^(1/2)\n",
+      "\n",
+      "\n",
+      "Note: Calculation Errors in book\n"
+     ]
+    }
+   ],
+   "source": [
+    "from math import sqrt\n",
+    "from math import pi\n",
+    "\n",
+    "#variable declaration\n",
+    "a=10;\n",
+    "a=a*10**-3;                 #conversion to m\n",
+    "sigma=400;\n",
+    "sigma0=1500;\n",
+    "\n",
+    "#calculation\n",
+    "rp=sigma**2*a/(2*pi*sigma0**2);\n",
+    "rp=rp*1000;                      #conversion to mm\n",
+    "K=sigma*sqrt(pi*a);\n",
+    "K_eff=sigma*sqrt(pi*a)*sqrt(a+pi*rp);\n",
+    "\n",
+    "#result\n",
+    "print('\\nPlastic zone size = %g mm\\nStress Intensity Factor = %g MPa m^(1/2)\\n\\n\\nNote: Calculation Errors in book')%(rp,K_eff);"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 2",
+   "language": "python",
+   "name": "python2"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 2
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython2",
+   "version": "2.7.9"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
-- 
cgit