The Asymptotic Analytical Solution of the Strain-Hardening Elastoplastic Plate Containing a Circular Hole under Simple Tension

Dong Ya-min; Zhu Zu-cheng; Gu Qiu-lin

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Article Navigation > Applied Mathematics and Mechanics > 1983 > 4(6): 835-846

Dong Ya-min, Zhu Zu-cheng, Gu Qiu-lin. The Asymptotic Analytical Solution of the Strain-Hardening Elastoplastic Plate Containing a Circular Hole under Simple Tension[J]. Applied Mathematics and Mechanics, 1983, 4(6): 835-846.

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The Asymptotic Analytical Solution of the Strain-Hardening Elastoplastic Plate Containing a Circular Hole under Simple Tension

Qinghua University, Beijing

Received Date: 1982-12-01
Publish Date: 1983-12-15

Abstract

Abstract

In this paper the general asymptotic analytical solution of plane problem of elasto-plasticity with strain-hardening[2] is used in solving the problem of an infinitely large plate containing a circular hole under simple tension, and the analytical expressions of stress components of the first two approximations are given, These results are compared with the numerical and the experimental results given by other authors[4,5], and a good agreement is obtained. At the end of this paper the authors inspect the correctness of Neuber's formula[9] for this problem.

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References(9)

References

[1]	钱伟长.固定圆薄板在均布荷载下的大挠度问题.中国物理学报,7. 2, 102-113.
[2]	顾求林,有强化弹塑性平而问题的一般渐近解,力学学报.1(1982).
[3]	Gu Qiu-lin,The Asymptotic Solution and Experiment of a Strain-Hardening Elas-to-Plastic Plate Containing an Elliptical Hole under Tension,Contributed Paper at 9th U.S.National Congress of Applied Mechanics,Paper No,149,(1982).
[4]	Xie Zhi-cheng,Wang Rei-wu,Yang Xue-zhong and Chian Zhen-dong,The Perturbation Finite Element Method for Solving Problems with Nonlinear Materials,Proceedings of the International Conference on Finite Element Methods,(1982).
[5]	Thomson,R.A.and M.M.Frcht,Further Work on Plane Elasto-Plastic Stress Distributions,International Symposium on Photoelasticity,(1962)
[6]	Timoshenko,S.,Theory of Elasticity,(1951).
[7]	Мусхелишвили,Н.И.,Некоmoрые Оснобные Забачu Маmeмаmuческоu Теорuu Уnрuосmu(1954).
[8]	周春田,带有缺陷板在单向拉伸时弹塑性应力应变场的测定,清华大学学报(待发表).
[9]	Neuber,H.,Theory of stress-concentration for shear strained prismatical bodies in the arbitrary nonlinear stress-strain law,J.Appl,Mech.28,(1961).