Effect of Initial Void Shape on the Occurrence of Cavitation Instabilities in Elastic-Plastic Solids

[+] Author and Article Information
V. Tvergaard

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

J. W. Hutchinson

Division of Applied Sciences, Harvard University, Cambridge, MA 02138

J. Appl. Mech 60(4), 807-812 (Dec 01, 1993) (6 pages) doi:10.1115/1.2900987 History: Received January 20, 1992; Revised August 17, 1992; Online March 31, 2008


A void in an infinite elastic-plastic material grows without bound when a cavitation stress limit is reached. Such unstable void expansion, driven by the elastic energy stored in the surrounding material, has been studied for the relatively simple case of spherically symmetric conditions and also for a spherical void in an axisymmetric remote stress field. The analyses are here extended to consider the effect of a void with an initially prolate or oblate spheroidal shape. Numerical unit cell analyses are carried out for a power-hardening elastic-plastic material subject to various axisymmetric remote stress states. For the range of void shapes analyzed it is found that the critical cavitation stress state shows very little influence of the initial void shape.

Copyright © 1993 by The American Society of Mechanical Engineers
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