A NEW MATHEMATICAL MODEL FOR HARDENABILITY OF STEELS
描述钢淬透性的一个新数学模型

A new mathematical model and a parameter describing the hardenability of steels were suggested. A differential equation of the Jominy curves has been constructed according to the Jominy experimental data and the change of derivative of the Jominy curve. The linear trial method was used to choose the optimal type of function. The model for calculating the hardness distribution has been described as the subsection functions consisting of straight line and curve. The straight depicts the hardness of the entire martensite region, which has a constant maximum value. In addition, the hardness is continuously reduced in the region of the curve until the hardness approaches a minimum value. The hardenability of steel has been expressed as a parameter equal to the distance from origin to inflexion of Jominy curve in numerical value, which can be obtained by a method of the non-linear curve fitting to the Jominy test data. Very good agreements have been obtained between the simulated curves and the experimental measurements.