{ "metadata": { "name": "", "signature": "sha256:99acc61267a81b1afad3a95ee2f2b991fd04bf73d9065c7e2427d0f97c316207" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter09:Fracture of Metals" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex9.1:pg-200" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Example 9.1 : difference\n", "import math \n", "#given data :\n", "E=200*10**9; # in N/m**2\n", "C=(4*10**-6)/2;# in m\n", "gama=1.48; # in J/m**2\n", "sigma=math.sqrt((2*E*gama)/(math.pi*C));\n", "print round(sigma*10**-6),\"= fracture strength,sigma(MN/m**2) \"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "307.0 = fracture strength,sigma(MN/m**2) \n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex9.2:pg-200" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Example 9.2 : the fracture strength and compare\n", " \n", "import math\n", "#given data :\n", "E=70*10**9; # in N/m**2\n", "C=(4.2*10**-6)/2;# in m\n", "gama=1.1; # in J/m**2\n", "sigma=math.sqrt((2*E*gama)/(math.pi*C));\n", "print \"{:.3e}\".format(sigma),\"= fracture strength,sigma(N/m**2) \"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "1.528e+08 = fracture strength,sigma(N/m**2) \n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex9.3:pg-200" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Example 9.3 : maximum length of surface\n", "import math\n", "\n", "#given data :\n", "sigma=36;#in MN/m**2\n", "gama=0.27;# in J/m**2\n", "E=70*10**9;#in N/m**2\n", "C=((2*E*gama)/(sigma**2*math.pi))*10**-6;\n", "C2=2*C;\n", "print round(C2,3),\"= maximum length of surface flow,C2(micro-m) \"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "18.568 = maximum length of surface flow,C2(micro-m) \n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex9.4a:pg-203" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Example 9.4.a: Temperature\n", " \n", "import math\n", "E=350;# in GN/m**2\n", "Y=2;# in J/m**2\n", "C=2;# in micro meter\n", "sg=math.sqrt((2*E*10**9*Y)/(math.pi*C*10**-6));# IN mn/M**2\n", "e=10**-2;# per second\n", "T=173600/(round(sg*10**-6)-20.6-61.3*(math.log10(e)));# in kelvin\n", "print round(T,1),\"= temperature in kelvin for ductile to brittle transition at a strain rate of 10**-2 per second\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "302.4 = temperature in kelvin for ductile to brittle transition at a strain rate of 10**-2 per second\n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ex9.4b:pg-203" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Example 9.4.b: Temperature\n", "import math\n", "\n", "E=350;# in GN/m**2\n", "Y=2;# in J/m**2\n", "C=2;# in micro meter\n", "sg=math.sqrt((2*E*10**9*Y)/(math.pi*C*10**-6));# IN mn/M**2\n", "e=10**-5;# per second\n", "T=173600/(round(sg*10**-6)-20.6-61.3*(math.log10(e)));# in kelvin\n", "print round(T),\"= temperature in kelvin for ductile to brittle transition at a strain rate of 10**-5 per second\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "229.0 = temperature in kelvin for ductile to brittle transition at a strain rate of 10**-5 per second\n" ] } ], "prompt_number": 10 } ], "metadata": {} } ] }