Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Elastic waves in rotating media

Authors: Michael Schoenberg and Dan Censor
Journal: Quart. Appl. Math. 31 (1973), 115-125
DOI: https://doi.org/10.1090/qam/99708
MathSciNet review: QAM99708
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Abstract | References | Additional Information

Abstract: Plane harmonic waves in a rotating elastic medium are considered. The inclusion of centripetal and Coriolis accelerations in the equations of motion with respect to a rotating frame of reference leads to the result that the medium behaves as if it were dispersive and anisotropic. The general techniques of treating anistropic media are used with some necessary modifications. Results concerning slowness surfaces, energy flux and mode shapes are derived. These concepts are applied in a discussion of the behavior of harmonic waves at a free surface.

References [Enhancements On Off] (What's this?)

  • [1] J. L. Synge, Elastic waves in anisotropic media, J. Math. Physics 35, 323-334 (1957) MR 0085782
  • [2] J. L. Synge, Flux of energy for elastic waves in anisotropic media, Proc. Roy. Irish Acad. A58, 13-21 (1956) MR 0135319
  • [3] M. J. P. Musgrave, Elastic waves in anisotropic media, Prog. Solid Mech. 2, 63-85 (1960) MR 0120918
  • [4] R. Courant and D. Hilbert, Methods of mathematical physics, Volume I, Interscience Publishers, Inc., New York, 1953 MR 0065391

Additional Information

DOI: https://doi.org/10.1090/qam/99708
Article copyright: © Copyright 1973 American Mathematical Society

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