A mathematical model, using the finite difference approach, was established to consider tempering in a low carbon low alloy quenched and tempered steel based on experimental observations, treating the coarsening of a larger particle and dissolution of a smaller particle as a continuous and simultaneous process for coupled inter-lath cementite systems. The diffusion of Mn was simplified as a 1D diffusion and occurred between the interface elements and their adjacent elements in the model. The mathematical model predicted the shortest dissolution times for smaller particles in coupled inter-lath cementite systems, which agreed well with experimental observations on tempering from 2 to 4 h. However, the larger particle coarsening was under predicted due to the simplification of considering two particle arrangements.

中文翻译：

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Q&T钢回火过程中板条间渗碳体粗化的模拟

基于实验观察，采用有限差分法建立了考虑低碳低合金调质钢回火的数学模型，将较大颗粒的粗化和较小颗粒的溶解作为一个连续、同步的过程进行处理。耦合的板条间渗碳体系统。Mn 的扩散被简化为一维扩散，发生在模型中的界面元素与其相邻元素之间。数学模型预测了耦合的板条间渗碳体系统中较小颗粒的最短溶解时间，这与从 2 到 4 小时回火的实验观察结果非常吻合。然而，由于考虑两种粒子排列的简化，较大的粒子粗化被低估了。