A REFORMULATION OF THE STRONG ELLIPTICITY CONDITIONS FOR UNCONSTRAINED HYPERELASTIC MEDIA

Authors
Citation
Y. Wang et M. Aron, A REFORMULATION OF THE STRONG ELLIPTICITY CONDITIONS FOR UNCONSTRAINED HYPERELASTIC MEDIA, Journal of elasticity, 44(1), 1996, pp. 89-96
Citations number
14
Categorie Soggetti
Engineering,"Material Science
Journal title
ISSN journal
03743535
Volume
44
Issue
1
Year of publication
1996
Pages
89 - 96
Database
ISI
SICI code
0374-3535(1996)44:1<89:AROTSE>2.0.ZU;2-0
Abstract
The conditions for the strong ellipticity of the equilibrium equations of compressible, isotropic, nonlinearly elastic solids (established b y Simpson and Spector [1]) are expressed in terms of the stored-energy function regarded as a function of the principal stretches. The appli cability of this reformulation is illustrated with the help of two spe cific examples.