RESEARCH PAPERS: Other Technical Papers

Inelastic Buckling of Shallow Spherical Shells Under External Pressure

[+] Author and Article Information
B. Sureshwara

Fire Protection Department, Underwriters Laboratory, Northbrook, Ill.

L. H. N. Lee, T. Ariman

University of Notre Dame, Notre Dame, Ind.

J. Eng. Ind 95(1), 208-214 (Feb 01, 1973) (7 pages) doi:10.1115/1.3438102 History: Received April 12, 1972; Online July 15, 2010


In this paper the inelastic effect on the axisymmetric buckling load of a clamped shallow spherical shell subjected to an external pressure is investigated. A variational principle derived from a set of rate equilibrium equations and expressed in terms of Lagrangian variables is introduced. Then, the variational principle is employed with a step-by-step numerical process based on a Rayleigh-Ritz technique to determine the initial pressure. The spherical shell is idealized as a structure composed of four thin load-carrying layers of equal thickness and made of a work hardening material. The numerical results of the present analysis compare favorably with those of available experimental work.

Copyright © 1973 by ASME
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