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Mathematical Modeling of the Hardness of Case Hardened Steel With Respect to Carburizing Time

Linus O Asuquo, and Ihom P Aondona

Mathematical modeling of the hardness of case hardened mild steel with respect to carburizing time has been carried out. The work utilized data that was empirically generated at the heat treatment shop of the National Metallurgical Development Centre, Jos. The study established the existence of a relationship between carburizing time and hardness value in Hv of carburized steel as well as the effective case depth in mm. A strong positive correlation coefficient of + 0.98 was found for hardness value and +0.91 was found for effective case depth, both of these relationships were linear. Based on that fact two mathematical models were developed for the prediction of hardness value and effective case depth using simple linear regression method. The result of the work agreed with existing theories on the relationship between carburizing time and hardness of carburized steel