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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 7: Fracture"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Example 7.1, Cohesive Strength, Page No. 245"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cohesive strength of a silica fiber = 24.367 GPa\n"
]
}
],
"source": [
"from math import sqrt\n",
"\n",
"#variable declaration\n",
"E=95;\n",
"E=E*10**9;\n",
"Ys=1000;\n",
"Ys=Ys*10**-3; #conversion to J/m^2\n",
"a0=1.6;\n",
"a0=a0*10**-10; #conversion to m\n",
"\n",
"#calculation\n",
"sigma_max=sqrt(E*Ys/a0)\n",
"sigma_max=sigma_max*10**-9;\n",
"\n",
"#result\n",
"print('Cohesive strength of a silica fiber = %g GPa')%(sigma_max);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Example 7.2, Fracture Stress, Page No. 246"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Fracture Stress = 100 MPa\n"
]
}
],
"source": [
"from math import sqrt\n",
"\n",
"#variable declaration\n",
"E=100;\n",
"E=E*10**9;\n",
"Ys=1;\n",
"a0=2.5*10**-10;\n",
"c=10**4*a0;\n",
"\n",
"#calculation\n",
"sigma_f=sqrt(E*Ys/(4*c));\n",
"sigma_f=sigma_f*10**-6;\n",
"\n",
"#result\n",
"print('Fracture Stress = %g MPa')%(sigma_f);"
]
}
],
"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
}
|
