Cavitation in Nonlinearly Elastic Solids: A Review

[+] Author and Article Information
C. O. Horgan

School of Engineering and Applied Science, University of Virginia, Charlottesville VA 22903

D. A. Polignone

Department of Mathematics, University of Tennessee, Knoxville TN 37996

Appl. Mech. Rev 48(8), 471-485 (Aug 01, 1995) (15 pages) doi:10.1115/1.3005108 History: Online April 29, 2009


Cavitation phenomena in nonlinearly elastic solids have been the subject of extensive investigation in recent years. The impetus for much of these theoretical developments has been supplied by pioneering work of Ball in 1982. Ball investigated a class of bifurcation problems for the equations of nonlinear elasticity which model the appearance of a cavity in the interior of an apparently solid homogensous isotropic elastic sphere or cylinder once a critical external tensile load is attained. This model may also be interpreted in terms of the sudden rapid growth of a pre-existing microvoid. In this paper, we briefly summarize some of the main results obtained to date on radially symmetric cavitation, using the bifurcation model. The paper is a review and a comprehensive list of references is given to original work where details of the analyses may be found.

Copyright © 1995 by The American Society of Mechanical Engineers
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