Principles of Localized Buckling for a Strut on an Elastoplastic Foundation

[+] Author and Article Information
G. W. Hunt, A. Blackmore

Department of Civil Engineering, Imperial College of Science, Technology and Medicine Imperial College Road, London SW7 2BU U.K.

J. Appl. Mech 63(1), 234-239 (Mar 01, 1996) (6 pages) doi:10.1115/1.2787204 History: Received August 29, 1994; Revised January 17, 1995; Online October 26, 2007


Localization theory for long continuous structures is extended to the buckling of a thin elastic strut supported by a bilinear elastoplastic medium. It is demonstrated that the form of localization has much in common with the buckling of struts on linear and nonlinear elastic foundations in that the localized response, which is of the greatest practical significance, is accompanied by a myriad of associated less significant solutions including periodic ones. Special shooting techniques are developed to deal with the problem of finding the localized solutions from amongst all competing possibilities.

Copyright © 1996 by The American Society of Mechanical Engineers
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