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Diffstat (limited to 'Mechanical_Metallurgy/Chapter_11_1.ipynb')
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diff --git a/Mechanical_Metallurgy/Chapter_11_1.ipynb b/Mechanical_Metallurgy/Chapter_11_1.ipynb new file mode 100755 index 00000000..c0c024dd --- /dev/null +++ b/Mechanical_Metallurgy/Chapter_11_1.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
+}
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