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diff --git a/Mechanical_Metallurgy_by_G_E_Dieter/6-Strengthening_Mechanisms.ipynb b/Mechanical_Metallurgy_by_G_E_Dieter/6-Strengthening_Mechanisms.ipynb new file mode 100644 index 0000000..99a9332 --- /dev/null +++ b/Mechanical_Metallurgy_by_G_E_Dieter/6-Strengthening_Mechanisms.ipynb @@ -0,0 +1,184 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 6: Strengthening Mechanisms" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.1: Grain_Size_Measurement.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Example 6.1\n", +"//Grain Size Measurement\n", +"//Page No. 193\n", +"clc;clear;close;\n", +"\n", +"sigma_i=150; //in MN/m^2\n", +"k=0.7; //in MN/m^(3/2)\n", +"n=6; \n", +"N_x=2^(n-1);\n", +"N=N_x/(0.01)^2; //in grains/in^2\n", +"N=N*10^6/25.4^2; // in grains/m^2\n", +"D=sqrt(1/N);\n", +"sigma0=sigma_i+k/D^(1/2);\n", +"printf('\nYield Stress = %g MPa',sigma0);" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.2: Strengthing_Mechanism.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Example 6.2\n", +"//Strengthing Mechanism\n", +"//Page No. 219\n", +"clc;clear;close;\n", +"\n", +"sigma0=600; //in MPa\n", +"G=27.6; //in GPa\n", +"G=G*10^9 //conversion to Pa\n", +"b=2.5*10^-8; //in cm\n", +"b=b*10^-2; //conversion to m\n", +"T0=sigma0/2;\n", +"T0=T0*10^6; //conversion to Pa\n", +"lambda=G*b/T0;\n", +"Cu_max=54; //in %\n", +"Cu_eq=4; //in %\n", +"Cu_min=0.5; //in %\n", +"rho_al=2.7; //in g/cm^3\n", +"rho_theta=4.43; //in g/cm^3\n", +"wt_a=(Cu_max-Cu_eq)/(Cu_max-Cu_min);\n", +"wt_theta=(Cu_eq-Cu_min)/(Cu_max-Cu_min);\n", +"V_a=wt_a/rho_al;\n", +"V_theta=wt_theta/rho_theta;\n", +"f=V_theta/(V_a+V_theta);\n", +"r=(3*f*lambda)/(4*(1-f));\n", +"printf('\nParticle Spacing = %g m\nParticle Size = %g m',lambda,r);" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.3: Fiber_Strengthing.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Example 6.3\n", +"//Fiber Strengthing\n", +"//Page No. 222\n", +"clc;clear;close;\n", +"\n", +"Ef=380; //in GPa\n", +"Em=60; //in GPa\n", +"//Case 1\n", +"f_f=0.1; //no unit\n", +"Ec=Ef*f_f+(1-f_f)*Em;\n", +"printf('\nEc for 10 vol%% = %g GPa\n',Ec);\n", +"//Case 2\n", +"f_f=0.6; //no unit\n", +"Ec=Ef*f_f+(1-f_f)*Em;\n", +"printf('\nEc for 60 vol%% = %g GPa\n',Ec);" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 6.4: Load_Transfer.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Example 6.4\n", +"//Load Transfer\n", +"//Page No. 225\n", +"clc;clear;close;\n", +"\n", +"sigma_fu=5; //in GPa\n", +"sigma_fu=sigma_fu*10^9; //Conversion to Pa\n", +"sigma_m=100; //in MPa\n", +"sigma_m=sigma_m*10^6; //Conversion to Pa\n", +"T0=80; //in MPa\n", +"T0=T0*10^6; //Conversion to Pa\n", +"f_f=0.5; //no unit\n", +"d=100; //in um\n", +"d=d*10^-6; //conversion to m\n", +"B=0.5; //no unit\n", +"L=10; //in cm\n", +"L=L*10^-2; //conversion to m\n", +"Lc=sigma_fu*d/(2*T0);\n", +"sigma_cu=sigma_fu*f_f*(1-Lc/(2*L))+sigma_m*(1-f_f);\n", +"sigma_cu=sigma_cu*10^-9;\n", +"printf('\nsigma_cu = %g GPa for L=100um\n',sigma_cu);;\n", +"\n", +"L=2; //in mm\n", +"L=L*10^-3; //conversion to m\n", +"sigma_cu=sigma_fu*f_f*(1-Lc/(2*L))+sigma_m*(1-f_f);\n", +"sigma_cu=sigma_cu*10^-9;\n", +"printf('sigma_cu = %g GPa for L=2mm',sigma_cu);;" + ] + } +], +"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 +} |