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RESEARCH PAPERS

Effect of Constitutive Parameters on Formation of a Spherical Void in a Compressible Nonlinear Elastic Material

[+] Author and Article Information
Shim Biwa, Eiji Matsumoto, Toshinobu Shibata

Department of Mechanical Engineering, Kyoto University, Kyoto 606-01, Japan

J. Appl. Mech 61(2), 395-401 (Jun 01, 1994) (7 pages) doi:10.1115/1.2901457 History: Received September 14, 1992; Revised March 08, 1993; Online March 31, 2008

Abstract

Void formation in materials under isotropic tension is considered within the theory of finite elasticity. This phenomenon is described as the bifurcation of the solution containing a spherical cavity from the state of homogeneous deformation of a solid hyperelastic sphere. The equation giving the bifurcation point is derived, and the critical stretch and stress are numerically calculated for a special class of compressible nonlinear elastic materials for which the strain energy function was proposed by Hill. The effects of constitutive parameters on the post-bifurcation behavior as well as on the critical stretch and stress are discussed.

Copyright © 1994 by The American Society of Mechanical Engineers
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