A Note on Strong Ellipticity for Transversely Isotropic Linearly Elastic Solids

Open Access

1 November 2003

journal article
Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics

Vol. 56 (4) , 589-591
https://doi.org/10.1093/qjmam/56.4.589

Abstract

We provide a simple proof of necessary and sufficient conditions on the elastic constants for strong ellipticity to hold in a transversely isotropic linearly elastic solid.

Keywords

ELASTIC CONSTANTS
TRANSVERSELY ISOTROPIC
STRONG ELLIPTICITY
ELASTIC SOLID
ISOTROPIC LINEARLY
LINEARLY ELASTIC
SIMPLE PROOF
PROVIDE A SIMPLE

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