Large-Deformation Theory of Shells of Revolution

[+] Author and Article Information
W. Flügge

Division of Engineering Mechanics, Stanford University, Stanford, Calif.

S-C. Chou

Engineering and Research Center, SKF Industries, Inc., King of Prussia, Pa.

J. Appl. Mech 34(1), 56-58 (Mar 01, 1967) (3 pages) doi:10.1115/1.3607668 History: Received July 20, 1965; Revised May 09, 1966; Online September 14, 2011


In this paper, nonlinear membrane equations are derived for a shell of revolution under the assumption that not only are the displacements and rotations large, but that, also, large strains are admitted. The equations, therefore, are aimed at shells which are not only very thin, but which are also made of a material which permits large elastic strains. The special difficulties resulting from this extension of the theory are discussed. As an example for the application of the equations, a circular toroid subjected to internal pressure is studied. Numerical results are given for a level of loading which lies clearly outside the domain of a large-deflection, small-strain theory.

Copyright © 1967 by ASME
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