非线性尺规近似法在圆杆颈缩局部有限变形分析中的应用  

The Application of Nonlinear Gauge Method to the Analysis of Local Finite Deformation in the Necking of Cylindrical Bar

作　　者：崔希民[1] 陈至达[1] 

机构地区：[1]中国矿业大学

出　　处：《应用数学和力学》1999年第2期111-118,共8页Applied Mathematics and Mechanics

基　　金：国家科委高科技基础研究基金

摘　　要：形变局部化和不稳定的研究是当前力学问题的一个热点，其中最典型的问题是圆杆拉伸颈缩和滑移带的塑性分析·传统的微小变形弹塑性力学不能彻底解决此问题·本文采用以Ｓ（应变）＿Ｒ（转动）分解定理为基础的非线性尺规数值计算法，并应用计算机模拟优化技术求出圆杆拉伸轴对称塑性有限变形的局部应变分布与发展形态·Localized deformation and instability is the focal point of research in mechanics. The most typical problem is the plastic analysis of cylindrical bar necking and shear band under uniaxial tension. Traditional elasto_plastic mechanics of infinitesimal deformation can not solve this problem successfully. In this paper, on the basis of S(strain)_R(rotation) decomposition theorem, the authors obtain the local strain distribution and progressive state of axial symmetric finite deformation of cylindrical bar under uniaxial tension adopting nonlinear gauge approximate method and computer modelling technique.

关 键 词：非线性尺规方法 变形 局部化 有限变形 圆杆 

分 类 号：O344.3[理学—固体力学]