各向同性及随动硬化材料在有限弹塑性变形情况下的本构关系

提出一种修正的随动硬化材料塑性应变关联流动律,一个有限弹塑性变形过程被分解成许多小变形子过程,子过程中的应力响应被研究,研究表明子过程中的应变增量有两部分组成,只有其中一部分影响应力,结果,各向同性及随动硬化材料在有限弹塑性变形时的本构关系被提出,最后,对新本构关系与其它理论的本构关系作了比较,计算了简单剪切变形的应力。

Studies on Constitutive Relations of Isotropic and Kinematic Hardening Materials at Finite Elastic-Plastic Deformation

A modified associated flow rule of plastic strain for kinematic hardening materials is presented. A whole process of finite elastic-plastic deformation is divided into many sub-processes of small elastic-plastic deformation. The stress responses of sub-processes are studied. It is shown that the strain in a sub-process consists of two parts and only one part affects the stress. The constitutive relations of finitely deforming elastic-plastic materials that exhibit isotropic or kinematic hardening are presented thereby. Finally, the stresses of simple shear deformation are worked out to examine some constitutive relations.