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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 11: Fracture Mechanics"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 11.1: Fracture_Toughness.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"//Example 11.1\n",
"//Fracture Toughness\n",
"//Page No. 354\n",
"clc;clear;close;\n",
"\n",
"a=5; //in mm\n",
"a=a*10^-3; //conversion to m\n",
"t=1.27; //in cm\n",
"t=t*10^-2; //conversion to m\n",
"K_Ic=24; //in MPa*m^(1/2)\n",
"sigma=K_Ic/(sqrt(%pi*a)*sqrt(sec(%pi*a/(2*t))));\n",
"printf('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.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"//Example 11.2\n",
"//Fracture Toughness\n",
"//Page No. 354\n",
"clc;clear;close;\n",
"\n",
"K_Ic=57; //in MPam^(1/2)\n",
"sigma0=900; //in MPa\n",
"sigma=360; //in MPa\n",
"Q=2.35; //no unit\n",
"a_c=K_Ic^2*Q/(1.21*%pi*sigma^2);\n",
"a_c=a_c*1000; //cpnversion to mm\n",
"printf('\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.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"//Example 11.3\n",
"//Plasticity\n",
"//Page No. 361\n",
"clc;clear;close;\n",
"\n",
"a=10; //in mm\n",
"a=a*10^-3; //conversion to m\n",
"sigma=400; //in MPa\n",
"sigma0=1500; //in MPa\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",
"printf('\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": "Scilab",
"language": "scilab",
"name": "scilab"
},
"language_info": {
"file_extension": ".sce",
"help_links": [
{
"text": "MetaKernel Magics",
"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
}
],
"mimetype": "text/x-octave",
"name": "scilab",
"version": "0.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
