本文提出了新的淬透性数学模型及钢的淬透性表征参数。根据端淬试验数据和试验曲线导数变化规律，用线性试探法建立了端淬曲线微分方程，然后解得硬度分布函数。硬度分布函数将端淬曲线描述为直线段和曲线段构成的分段函数。直线段描述试样端部获得全部马氏体区域的硬度，在此区域硬度保持恒定最高值。在曲线段硬度递减，最后趋近恒定最低值。钢的淬透性值用数学参数来表示, 它数值上等于曲线拐点总距离，其中包括全部获得马氏体的直线段长度，但它与端淬距离无关。用非线性模拟程序代入试验值获得了淬透性值。模拟结果表明，所获得模型与试验值吻合非常好。
A new mathematical model and a parameter for the hardenability of steels is presented in this paper. A differential equation of the Jominy curves has been constructed according to the Jominy experimental data and change of derivative of the Jominy curve. The linear trial method was used to choose optimal type of function. The model for calculating the hardness distributions has been described as the subsection functions consisting of both straight line and curve. The straight depicts the hardness of the martensite region where the martensite is entirely obtained and the hardness remains 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 steels has been expressed as a coefficient that is equal to the whole distance of inflexion of Jominy curve in numerical value. The distance includes length of straight line in which martensite is entirely obtained, while it is not related to the Jominy distance. The value of the hardenability has been 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.
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