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Criteria for elastic waves in anisotropic media

โœ Scribed by M. J. P. Musgrave

Publisher
Springer Netherlands
Year
1971
Tongue
English
Weight
66 KB
Volume
1
Category
Article
ISSN
0374-3535

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โœฆ Synopsis

The conditions for the sign of the deviation of ray from wave normal (sgn A) specified on p. 209 of [1 ] and the criteria for cusps to occur on the elastic wave surface given in [2] are valid provided that all principal extensional stiffnesses exceed principal shear stiffnesses, i.e., cjj(j = 1, 2, 3) > Ckk (k = 4, 5, 6). The criteria require modification when any of these inequalities, commonly valid for real materials, are reversed.

Since inhomogeneous fibrous or cellular materials, which increasingly are finding application, may possess stiffness matrices which involve inequalities for which the published criteria are incorrect, the following complete tabulation, appropriate to the zonal plane of a hexagonally symmetric material and obtained by the methods already described, is presented. Adaption of the results to principal planes of symmetry in other crystal systems (orthorhombic, tetragonal, cubic) remains appropriate.

Following notation, previously developed in [1 ] and [2], we write

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