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Criteria for elastic waves in anisotropic media — a consolidation

✍ Scribed by M. J. P. Musgrave; R. G. Payton

Publisher
Springer Netherlands
Year
1984
Tongue
English
Weight
652 KB
Volume
14
Category
Article
ISSN
0374-3535

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✦ Synopsis

The geometry relating to the tangent plane at a stationary point on a surface has been used to re-examine various criteria for the existence of parabolic points (inflexions in 2D-sections) on the outermost sheet of the slowness surface for elastic waves in anisotropic media.

Previous results obtained by the authors, exact [4,5], and approximate [6], are related in detail. Further approximations, based on geometrical properties, are derived; one of these proves equivalent to a sufficient condition first applied by McCurdy [8].

Numerical investigation shows that, over a wide range of anisotropy, the simply applied approximate criterion of [6] is sufficient and within the accuracy of observation of the elastic stiffnesses.

📜 SIMILAR VOLUMES

Criteria for elastic waves in anisotropi
Criteria for elastic waves in anisotropic media
✍ M. J. P. Musgrave 📂 Article 📅 1971 🏛 Springer Netherlands 🌐 English ⚖ 66 KB

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,

Further criteria for elastic waves in an
Further criteria for elastic waves in anisotropic media
✍ M. J. P. Musgrave 📂 Article 📅 1979 🏛 Springer Netherlands 🌐 English ⚖ 281 KB

Two additional criteria for the existence of cusp points on elastic wave surfaces are developed. A previously published method [1] is extended to give a simple necessary and sufficient condition for cusps about (1, 1, 0) axes in cubic and tetragonal media. This criterion is plausibly adapted to pro