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

1.
Institute of Engineering Mechanics, University of Nanchang, Nanchang 330029, P R China;
2.
Shanghai Institute of Appl Math Mech, Shanghai University, Shanghai 200072, P R China

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,不存在从软化阶段至强化阶段的过渡。
- 客观率问题 /
- 弹塑性本构 /
- 剪切振荡
Abstract: 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.
- objective rates /
- elastic-plastic constitutive relation /
- simple shear oscillation

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