Limit Analysis of Shallow Shells of Revolution

[+] Author and Article Information
P. G. Hodge

Department of Mechanics, Illinois Institute of Technology, Chicago, Ill.

C. Lakshmikantham

Department of Mechanics, Illinois Institute of Technology

J. Appl. Mech 30(2), 215-218 (Jun 01, 1963) (4 pages) doi:10.1115/1.3636514 History: Received March 06, 1962; Online September 16, 2011


The theorems of limit analysis are applicable to an approximate theory if, and only if, the approximate equilibrium and strain-rate-velocity relations are such that the principle of virtual work holds between them. A theory for which this is true may be called “consistent.” Such a consistent theory is developed for shallow shells of revolution, and the methods of limit analysis are applied to particular cases of shallow parabolic and conical shells under normal and axial loads. Bounds are obtained on the plastic interaction curves using the two-moment, limited-interaction yield curve.

Copyright © 1963 by ASME
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