Equilibrium Solutions in Finite Elasticity

[+] Author and Article Information
R. T. Shield

Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, Ill. 61801

J. Appl. Mech 50(4b), 1171-1180 (Dec 01, 1983) (10 pages) doi:10.1115/1.3167199 History: Received March 01, 1983; Online July 21, 2009


Some areas in the theory of large deformations of elastic bodies are surveyed. Strain energy functions for isotropic materials are discussed, with emphasis on rubberlike materials, and exact and approximate solutions for equilibrium states are described. The applicability of the energy method for the determination of the stability of elastic systems is reviewed and applications are cited.

Copyright © 1983 by ASME
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