Abstract
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.
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Wang, Y., Aron, M. A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media. J Elasticity 44, 89–96 (1996). https://doi.org/10.1007/BF00042193
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DOI: https://doi.org/10.1007/BF00042193