Finite Twisting and Expansion of a Hole in a Rigid/Plastic Plate

Author:

Nordgren R. P.1,Naghdi P. M.2

Affiliation:

1. Exploration and Production Research Division, Shell Development Company, Houston, Texas

2. University of California, Berkeley, Calif.

Abstract

This paper is concerned with the finite twisting and expansion of an annular rigid/plastic plate in the state of plane stress. The plate, bounded by two concentric circles one of which may extend to infinity, is subjected in its plane to the combined action of pressure on the inner boundary and a couple due to circumferential shear. A detailed solution which includes the effect of isotropic work hardening is obtained with the use of Tresca’s yield function and its associated flow rules and the corresponding solution with the use of Mises’ yield function and its associated flow rules is also discussed. Numerical results are given which illustrate the influence of twisting on the expansion of a hole in an infinite plate.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Problems in Plane Stress;Mechanical Engineering Series;2000

2. An exact solution for the internally pressurized, elastoplastic, strain-hardening, annular plate;Acta Mechanica;1987-04

3. Finite expansion of a hole in an elastic-plastic thin plate of finite thickness;International Journal of Solids and Structures;1975-09

4. Topics in the Mathematical Theory of Plasticity;Mechanics of Solids;1973

5. On the geometrically similar expansion of a hole in a thin infinite plate;Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences;1972-01-25

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