Large Deformation of Very Thin Shells—The Inverse Problem

[+] Author and Article Information
W. Flügge

Department of Applied Mechanics, Stanford University, Stanford, Calif.

S.-C. Chou

Theoretical and Applied Mechanics Research Laboratory, Army Materials and Mechanics Research Center, Watertown, Mass.

J. Appl. Mech 39(4), 1079-1084 (Dec 01, 1972) (6 pages) doi:10.1115/1.3422832 History: Received July 07, 1971; Revised October 19, 1971; Online July 12, 2010


This paper deals with the inverse problem of large deformation of very thin shells. An inflated shell of known shape is considered and the differential equations are derived for the case that the inflation pressure is decreased or entirely removed. They are applied to a toroid which is circular in cross section when fully inflated. It is found that under decreasing pressure the shell cannot remain smooth, but develops wrinkles on part of its surface.

Copyright © 1972 by ASME
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