✦ LIBER ✦

Symmetry conditions for third order elastic moduli and implications in nonlinear wave theory

✍ Scribed by A. N. Norris

Publisher: Springer Netherlands
Year: 1991
Tongue: English
Weight: 478 KB
Volume: 25
Category: Article
ISSN: 0374-3535
DOI: 10.1007/bf00040928

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✦ Synopsis

Several results are presented concerning symmetry properties of the tensor of third order elastic moduli. It is proven that a set of conditions upon the components of the modulus tensor are both necessary and sufficient for a given direction to be normal to a plane of material symmetry. This leads to a systematic procedure by which the underlying symmetry of a material can be calculated from the 56 third order moduli. One implication of the symmetry conditions is that the nonlinearity parameter governing the evolution of acceleration waves and nonlinear wave phenomena is identically zero for all transverse waves associated with a plane of material symmetry.

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