{
"metadata": {
"name": "",
"signature": "sha256:99acc61267a81b1afad3a95ee2f2b991fd04bf73d9065c7e2427d0f97c316207"
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"nbformat": 3,
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"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": {}
}
]
}