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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 4: Plastic Deformation of Single Crystals"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Example 4.1, Critical Resolved Shear Stress for Slip, Page No. 125"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Tensile Stress applied = 14.6969 MPa\n"
]
}
],
"source": [
"from math import sqrt\n",
"import numpy as np\n",
"\n",
"#variable declaration\n",
"a=[1,-1,0];\n",
"n=[1,-1,-1];\n",
"s=[0,-1,-1];\n",
"Tr=6;\n",
"\n",
"#calculation\n",
"cos_fi=np.dot(a,n)/(sqrt(a[0]**2+a[1]**2+a[2]**2)*sqrt(n[0]**2+n[1]**2+n[2]**2));\n",
"cos_lm=np.dot(a,s)/(sqrt(a[0]**2+a[1]**2+a[2]**2)*sqrt(s[0]**2+s[1]**2+s[2]**2));\n",
"sigma=Tr/(cos_fi*cos_lm);\n",
"\n",
"#result\n",
"print('Tensile Stress applied = %g MPa')%(sigma);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
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"name": "ipython",
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"file_extension": ".py",
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|
