Abstract: On the multi-layer forging die used in daily life, stressed ring can strength the die structure within elastic deformation and the die material can be self-strengthened through uniform plastic deformation by autofrettage effect, whereas the thermal effect generated during forging process can directly influence the stress state and dimension of the forging die in service. In this study, an analytical solution of the thermo-elastic-plastic deformation in the forging die is derived. The relationships between the radial and circumferential stresses and the temperature distribution, which are directly related to geometric parameters, material properties and working pressure, are determined. This helps to better understand the thermo-elastic-plastic deformation behavior of the die and design the combined forging die to achieve long service life and high accuracy product.

Key words: thermal deformation, elastic deformation, plastic deformation, die, temperature

摘要： 常用的多层组合模具结构可以通过应力环产生弹性变形加强，并且模具材料可以通过均匀塑性变形得到增强。锻造过程中产生的热效应会直接影响模具的应力状态和尺寸。本文推导了组合凹模热弹塑性变形的解析解，确定了模具径向应力和周向应力与温度分布之间的关系。这些关系与模具几何参数、材料性能和工作压力直接相关。这有助于更好地理解模具的热弹塑性变形行为，设计出长寿命高精度的组合模具。

关键词: 热变形；弹性变形；塑性变形；模具；温度