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

[+] Author and Article Information
Shiro 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; Published June 01, 1994; Online March 31, 2008


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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