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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 10 : Elastic. Anelastic and Viscoelastic Behaviour"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 10.1, Page No 241"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#initialisation of variables\n",
"n = 1.0\n",
"m = 9.0\n",
"A = 7.68e-29 # Constant having unit J m \n",
"r_0 = 2.5e-10 # bonding distance in m\n",
"\n",
"#Calculations\n",
"B = A*r_0**8.0/9\n",
"Y = (90*B/(r_0)**11-2*A/(r_0)**3)/r_0\n",
"\n",
"#Results\n",
"print(\"Young\u2019s modulus of material is %d GN m^-2\" %(Y/1e9))\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Young\u2019s modulus of material is 157 GN m^-2\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 10.2, Page No 245"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#initialisation of variables\n",
"Y_f = 440.0\n",
"Y_m = 71.0 \n",
"sigma_total= 100.0 # total load\n",
"\n",
"#Calculations\n",
"r = Y_f/Y_m\n",
"sigma_f = r*(sigma_total/0.7)/(1+r*3/7)\n",
"\n",
"#Results\n",
"print(\" Part A:\")\n",
"print(\" When load is applied parallel to fiber then, stress in fiber is %d MN m^-2\" %sigma_f)\n",
"\n",
"print(\" Part B:\")\n",
"print(\" When load is applied perpendicular to fiber then, stress in fiber and matrix is same i.e. %d MN m^-2\" %sigma_total)\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Part A:\n",
" When load is applied parallel to fiber then, stress in fiber is 242 MN m^-2\n",
" Part B:\n",
" When load is applied perpendicular to fiber then, stress in fiber and matrix is same i.e. 100 MN m^-2\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 10.3, Page No 251"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#initialisation of variables\n",
"t_r = 100.0 # relaxation time in s\n",
"d = 2.5 # distance in angstrom\n",
"\n",
"#Calculations\n",
"f = 1.0/t_r # jump frequency\n",
"D = (d*1e-10)**2*f\n",
"\n",
"#Results\n",
"print(\"Diffusion coefficient is %.2e m^2 s^-1\" %D)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Diffusion coefficient is 6.25e-22 m^2 s^-1\n"
]
}
],
"prompt_number": 8
}
],
"metadata": {}
}
]
}
|
