• CN:11-2187/TH
  • ISSN:0577-6686

›› 1985, Vol. 21 ›› Issue (3): 87-96.

• 论文 • 上一篇    

塑性变形与颈缩扩展——一维和二维的统一分析

连建设   

  1. 吉林工业大学
  • 发布日期:1985-06-01

AN UNIFIED ANALYSIS ON PLASTIC DEFORMATION AND NECKING DEVELOPMENT UNDER BOTH UNIAXIAL AND BIAXIAL STRESSES

Lian Jianshe   

  1. Jilin University of Technology
  • Published:1985-06-01

摘要: 本文从Hart的微分型本构关系出发,引入一般意义上的初始不均匀,考虑到早期S-H理论的扩散失稳和集中失稳概念,对一维和二维的塑性变形和颈缩扩展进行理论分析,描述了变形及颈缩失稳过程。首次给出了适用于一维和二维的断裂极限应变的统一积分表达。此积分表达式能够将Hutchinson等(1977)的表达做为特例。

Abstract: In this paper, starting from Hart's constitutive equation, introducing initial imperfection in general sense and considering early theories of S-H, we put forward a theorecal andlysis on plastic deformation and necking development under both uniaxial stress and biaxial stress. An unified integral expression suitable for both uniaxial and biaxial stresses is first given, in which Hutchinson et. Al's expression (1977) con be included as a special case. Based on it, a simple analytic expression is first given as follows.