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

[+] Author and Article Information
R. P. Nordgren

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

P. M. Naghdi

University of California, Berkeley, Calif.

J. Appl. Mech 30(4), 605-612 (Dec 01, 1963) (8 pages) doi:10.1115/1.3636626 History: Received February 01, 1963; Online September 16, 2011


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.

Copyright © 1963 by ASME
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