简单剪切振荡现象及弹塑性本构的限制条件  

The Simple Shear Oscillation and the Restrictions to Elastic_Plastic Constitutive Relations

作　　者：陈良森[1,2,3] 赵兴华[1,2,3] 扶名福[1,2,3] 

机构地区：[1]南昌大学工程力学研究所 [2]上海大学 [3]上海市应用数学和力学研究所

出　　处：《应用数学和力学》1999年第6期559-568,共10页Applied Mathematics and Mechanics

摘　　要：基于在真应力空间刻划弹塑性物质的强化、软化和理想塑性特性，本文以刚塑性随动强化模型为例说明产生简单剪切振荡现象，是与模型在简单剪切变形下，其强化和软化特性发生交替变化的现象有关·为使弹塑性本构模型更符合实际，要求它们必须满足如下条件：即对任意弹塑性加载变形过程，本构模型所给出的应力应该是非振荡的，所描述的强化和软化特性。Based on the definitions of hardening, softening and ideal plastic behavior of elastic_plastic materials in the true stress tensor space, the phenomena of simple shear oscillation are shown to be relative to the oscillatory occurrence of hardening and softening behavior of elastic_plastic materials, namely the oscillation of hardening behavior, by analyzing a simple model of rigid_plastic materials with kinematical hardening under simple shear deformation. To make the models of elastic_plastic materials realistic, must be satisfied the following conditions: for any constitutive model, its response stresses to any continuous plastic deformation must be non_oscillatory, and there is no oscillation of hardening behavior during the plastic deformation.

关 键 词：客观率 弹塑性本构 剪切振荡 剪切变形 本构方程 

分 类 号：O344.3[理学—固体力学]