本文基于应力空间和应变空间的概念,提出了一种能够概括目前广泛应用的Reuss和Hill本构方程的新的弹塑性本构方程。在新的本构方程中,塑性应变增量和应力之间的关系是与塑性常数矩阵相联系的,根据对塑性常数矩阵本征值的讨论,可以将一般的各向异性塑性体划分成全异性和半异性塑性体。最后本文还给出了适合于一般塑性体的广义等效应力和广义等效应变的定义。 Based on the concept of stress space and strain space, a new elasto-plastic constitutive equation that can be used to generalize the Reuss and Hill constitutive equations widely used today is proposed. In the new constitutive equation, the relationship between the plastic strain increment and the stress is related to the matrix of plastic constants. Based on the discussion of the eigenvalues ​​of the plastic constant matrices, general anisotropic plastic bodies can be divided into two types: And semi-anisotropic plastic body. Finally, this paper also gives the definition of generalized equivalent stress and generalized equivalent strain suitable for general plastic body.