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Further criteria for elastic waves in anisotropic media

โœ Scribed by M. J. P. Musgrave

Publisher
Springer Netherlands
Year
1979
Tongue
English
Weight
281 KB
Volume
9
Category
Article
ISSN
0374-3535

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โœฆ Synopsis

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 provide a simple inequality applicable to any section of slowness surface represented by separable quadratic and quartic equations.

Two tables of numerical examples are presented.

๐Ÿ“œ SIMILAR VOLUMES

Criteria for elastic waves in anisotropi
Criteria for elastic waves in anisotropic media
โœ M. J. P. Musgrave ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 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,

Criteria for elastic waves in anisotropi
Criteria for elastic waves in anisotropic media โ€” a consolidation
โœ M. J. P. Musgrave; R. G. Payton ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 652 KB

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 obtain

The stability of quasi-transverse shock
The stability of quasi-transverse shock waves in anisotropic elastic media
โœ A.G. Kulikovskii; A.P. Chugainova ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 507 KB

The stability of weak quasi-transverse shock waves in a weakly anisotropic elastic medium with respect to arbitrarily oriented perturbations is investigated in the linear approximation. It is shown that fast quasi-transverse shock waves are stable.