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

崔希民; 陈至达

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

中国矿业大学(北京), 北京100083

基金项目: 国家科委高科技基础研究基金

详细信息

作者简介:
崔希民(1967~ ),男,讲师,博士

中图分类号: O39;TB12
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- 被引次数: 0
出版历程
- 收稿日期: 1997-04-17
- 修回日期: 1998-07-08
- 刊出日期: 1999-02-15

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

Beijing Graduate School, China University of Mining & Technology, Beijing 100083, P R China

摘要

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。
- 非线性几何场论 /
- 非线性尺规方法 /
- 变形局部化
Abstract: 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.
- nonlinear geometric field theory /
- nonlinear gauge method /
- localized deformation

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参考文献(13)

[1]	Hill R. A general theory of uniqueness and stability in elastic-plastic solids [J].J Mech Phys Solids, 1958,6(3):236
[2]	Pietruszczak St, Mroz Z. Finite element analysis of deformation of strain softening material [J].Internat J Numer Methods Engrg, 1981,17(3):327
[3]	Tvergaard V, Needleman A, Lo K K. Flow localization in the plane strain tension test[J].J Mech Phys Solids, 1981,29(2):115
[4]	Aravas N, On the numerical integration of a class of pressure-dependent plasticity models[J].Internat J Numer Methods Engrg, 1987,24(7):1395
[5]	Ortiz M, Leroy Y, Needleman A, A finite element method for localized failure analysis[J].Comput Methods Appl Mech Engrg, 1987,61(2):189
[6]	Ramakrishnan N, Okada H, Atluri S N. On shear band formation:Ⅱ.Simulation using finite element method[J].Internat J Plas, 1994,10(5):521
[7]	Biot M A. Mechanics of Incremental Deformation[M]. New York: John Wiley & Sons Inc, 1965
[8]	陈至达.有理力学[M].徐州:中国矿业大学出版社,1988
[9]	尚勇,陈至达.论拖带坐标系中应力的客观速率[J].应用数学和力学,1988,10(2):95～104
[10]	Chen Z D, Liu X C. Nonlinear geommtric field theory and viscoplasticity of large deformation [A].In:N R Scottos ed. MD-Vol,96,Proc of the ASME Material Division[C]. Book No H1041A,1995,429～438
[11]	陈至达,杆板壳大变形理论[M].北京:科学出版社,1995
[12]	Wang C, Chen Z D. Microrotation effects in material fracture and damage [J].Eng Frac Mech, 1991,38(2-3):147
[13]	李书瑞,吴立新,吴国运.15MnHP钢拉伸变形过程的细观观察[A].第三届全国细观力学研讨会[C].杭州:浙江大学,1995,142