One of the techniques to improve the surface hardness of commercially pure titanium is by using plasma nitrocarburizing. This paper presents an equation to predict the surface hardness with the variable of the treatment temperature and process time of plasma nitrocarburizing. Experimental studies were first conducted to collect surface hardness at different elevated temperatures with different process time. The prediction equation was then developed by using Lagrange’s Multivariable Interpolation method. It is found that commercially pure titanium surface hardness can be predicted as a function of time and temperature. This equation is able to predict the surface hardness of the experimental data with high accuracy. The errors of the predicted hardness to the experimental results are less than 1 percent.

提高商业纯钛表面硬度的技术之一是使用等离子氮碳共渗。本文提出了一个方程来预测与等离子氮碳共渗处理温度和处理时间变量的表面硬度。首先进行了实验研究，以收集在不同高温和不同处理时间下的表面硬度。然后使用拉格朗日多变量插值法开发预测方程。发现商业纯钛表面硬度可以预测为时间和温度的函数。该方程能够高精度地预测实验数据的表面硬度。预测硬度与实验结果的误差小于1%。