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。

According to the physical significance of strain hardening exponent n, a mathematical modeling method for tensile true stress-true strain relationship was presented, that was, by looking for the function between strain hardening exponent and true strain, the differential equation was solved to acquire relationship between true stress and true strain. By this method, with the investigation of the tensile strain hardening behavior of an FCC metal, a new mathematical model which describes relationship between true stress and true strain of the alloy was built up. According to the research of some other metals，this model can be used to describe relationship between true stress and true strain of stable FCC alloys without strain induced phase transformation during deformation.