This is a numerical and experimental study of the hardness curves in the precipitation layer of gaseous nitrided 31CrMoV9 alloy steel. Hardness has been measured with an automatic micro-hardness meter according to the Vickers method. It is known that gas nitriding as a diffusion process can be described by the differential equation known as Fick’s second law. This equation is solved with the Finite Element (FE) method. Modeling is based on the Orowan strengthening theory and the classic Johnson-Mehl-Avrami theory of precipitation. The model is constructed in the ANSYS application in the temperature field and experimental results are compared with theory (the model). The results prove that diffusion processes like nitriding can be modeled with FE methods.

中文翻译：

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气体氮化后31CrMoV9钢硬度曲线的有限元模拟

这是气态渗氮31CrMoV9合金钢析出层硬度曲线的数值和实验研究。硬度已经根据维氏方法用自动显微硬度计测量。已知可以通过称为菲克第二定律的微分方程描述作为扩散过程的气体氮化。该方程用有限元（FE）方法求解。建模基于Orowan强化理论和经典的Johnson-Mehl-Avrami降水理论。该模型是在ANSYS应用中在温度场中构建的，并将实验结果与理论（模型）进行了比较。结果证明，可以使用有限元方法对诸如氮化等扩散过程进行建模。