评述B—P统一弹—粘塑性本构模型

综述了Ｂｏｄｎｅｒ－Ｐａｒｔｏｍ统一弹－粘塑性本构模型的基本理论，包括流动法则、运动方程和内变量演变方程三个部分。该模型是基于位错动力学的思想提出来的，认为材料变形的应变率由弹性和非弹性两部分组成，它们始终耦合在一起，采用内变量来表示材料抵抗塑性变形的非弹性状态，内变量包括各向同性硬化和方向性硬化两种。该模型不需要屈服准则和加卸载准则，具有较强的模拟能力，能模拟循环硬化与循环软化、非比例加载引起的

A Review of B P Unified Elastic Viscoplastic Constitutive Model

Summarizes the Bodner Partom unified elastic viscoplastic constitutive equations, including three parts,such as the flow laws, the kinetic equation and the evolution equations of internal variables. The model is developed from dislocation dynamics. The total strain rate is assumed to be composed of elastic and plastic components, which are coupled under all loading and unloading conditions. The inelastic state is expressed by internal variables. Yield criterion and loading and unloading criterion are not required in this model. Bodner Partom model can simulate the cyclic hardening or softening,additional hardening due to non proportional loading, thermal recovery, temperature dependence, damage development and so on. The paper also comments on the temperature dependence of the material constants. Finally the application of the model on aeroengine superalloys is introduced and the prospect of this model is predicted.