Maxwell Critical Loads for Axially Loaded Cylindrical Shells

[+] Author and Article Information
G. W. Hunt

Department of Civil Engineering, Imperial College, London University, London SW7 2BU, U.K.

E. L. Neto

Instituto Technologico de Aeronautica, 12225 San Jose dos Campos-SP, Sao Paulo, Brazil

J. Appl. Mech 60(3), 702-706 (Sep 01, 1993) (5 pages) doi:10.1115/1.2900861 History: Received May 30, 1991; Revised August 13, 1992; Online March 31, 2008


It is proposed that the classical Maxwell criterion for instability of gradient systems has significance as a lower bound on the appearance of localized as opposed to repeated periodic buckling. The hypothesis is tested against experiments, for the classic nonlinear problem of diamond-pattern buckling in the long thin axially loaded cylindrical shell. Excellent correlation is achieved.

Copyright © 1993 by The American Society of Mechanical Engineers
Topics: Stress , Pipes , Buckling , Diamonds
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