Journal of Elasticity

, Volume 44, Issue 1, pp 89–96 | Cite as

A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media

  • Y. Wang
  • M. Aron
Research Note


The conditions for the strong ellipticity of the equilibrium equations of compressible, isotropic, nonlinearly elastic solids (established by Simpson and Spector [1]) are expressed in terms of the stored-energy function regarded as a function of the principal stretches. The applicability of this reformulation is illustrated with the help of two specific examples.

AMS Mathematics Subject Classifications (1991)

73G05 73H99 

Key words

compressible nonlinearly elastic strong ellipticity 


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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Y. Wang
    • 1
  • M. Aron
    • 1
  1. 1.School of Mathematics and StatisticsUniversity of PlymouthPlymouthEngland

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