有限变形塑性本构理论的框架

ON THE CONSTITUTIVE FRAMEWORK IN FINITE DEFORMATION PLASTICITY

本文讨论了有限变形塑性本构理论中的某些基本问题,强调了本构框架和本构模型之间的区别及其相互联系。提出了构成本构框架的五个要素: 1)参考构形的选取, 2)不可逆过程热力学基础, 3)状态参量的选取及其演化规律, 4)屈服面的存在性, 5)本构方程的形式等。通过对以上要素的研究可进一步了解当前各种理论和学派之间的分歧所在。

Certain fundamentals of phenomenological constitutive laws for elastic-plastic solids at finite deformation are discussed.The difference, and the relationship between the framework (or the basic structure) and the model of constitutive relations are emphasised.The constitutive framework may contain following factors: (1) Reference configurations to be chosen? (2) Foundations of irreversible thermodynamics) (3) The description of thermodynamic states, the state variables to be chosen and their evolution laws; (4) The existence of the yield surface; (5) The types of constitutive equations. By studying these factors, different theories and schools can be clearly distinguished.