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TECHNICAL PAPERS

Studies of Elastic-Plastic Instabilities

[+] Author and Article Information
V. Tvergaard

Department of Solid Mechanics, Technical University of Denmark DK-2800 Lyngby, Denmark

J. Appl. Mech 66(1), 3-9 (Mar 01, 1999) (7 pages) doi:10.1115/1.2789166 History: Accepted November 23, 1998; Received November 23, 1998; Online October 25, 2007

Abstract

Analyses of plastic instabilities are reviewed, with focus on results in structural mechanics as well as continuum mechanics. First the basic theories for bifurcation and post-bifurcation behavior are briefly presented. Then, localization of plastic flow is discussed, including shear band formation in solids, localized necking in biaxially stretched metal sheets, and the analogous phenomenon of buckling localization in structures. Also some recent results for cavitation instabilities in elastic-plastic solids are reviewed.

Copyright © 1999 by The American Society of Mechanical Engineers
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