从拉伸应变硬化指数n的物理意义出发,提出一种建立真应力与真应变关系数学模型的方法,即通过寻求应变硬化指数与真应变的函数关系,求解微分方程得到真应力与真应变的关系。结合对一种面心立方合金拉伸应变硬化规律的研究,建立了一个新的真应力与真应变关系的数学模型。对另一部分金属材料的研究表明,该模型适用于描述在变形过程中不发生相变的稳定面心立方金属材料的拉伸真应力与真应变的关系。 Based on the physical meaning of tensile strain hardening index n, a method to establish the mathematical model of the relationship between true stress and true strain is proposed. By solving the relationship between strain hardening index and true strain, the differential equation is solved to obtain true stress and true strain relationship. A mathematical model of the relationship between true stress and true strain has been established by studying the law of tensile strain hardening of a face-centered cubic alloy. The research on another part of metallic materials shows that this model is suitable for describing the relationship between the true stress and the true strain of a stable face-centered cubic metal material that does not undergo phase transformation during deformation.