Predication of A Mathematical Model for A Hardness in Steel-52100

Abstract

This paper reports a research in which an attempt was made to predict a mathematical model of hardness for steel-52100 . The primary objective was to investigate the effect of heat treatment parameters on the hardness of steel-52100, where the value of hardness is influenced by these parameters (Austenitizing temperature, tempering temperature and tempering time) . To determine the influence of these parameters , experiments were conducted using Taguchi's orthogonal array . The results of these experiments were used to plot response graph , Pareto diagram and to calculate S/N ratios . An empirical model for the hardness in terms of the parameters mentioned was also developed . Coefficient of determination was used to check the adequacy and accuracy of the model . The empirical model so developed was checked by conducting confirmation experiments . Contour plots were plotted to visualize the effect of those heat treatment parameters on the hardness. Those parameters were optimized to maximize the hardness using the larger-the-better concept of robust design and also compared with the optimized parameters obtained using the developed empirical model . Finally, this study show a good agreement between the mathematical model and experimental results .