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Short-wave asymptotic behavior of space-time creeping waves in elasticity theory

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Abstract

We consider the elastic space-time (ST) wave on an unstressed convex surface in a deep shadow zone. The uniform high-frequency asymptotic expansion of the wave field is constructed as the sum of the caustic expansion for the longitudinal (transverse) wave containing the Airy function and the space-time ray series for the transverse (longitudinal) wave. The contribution of the ray expansion with the transverse eikonal is comparable to the contribution of the longitudinal creeping wave to the wave field.

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Literature cited

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Authors
  1. Z. A. Yanson
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 148, pp. 176–189, 1985.

I would like to thank V. M. Babich for suggesting the topic and for discussion of results.

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Yanson, Z.A. Short-wave asymptotic behavior of space-time creeping waves in elasticity theory. J Math Sci 38, 1688–1699 (1987). https://doi.org/10.1007/BF01100151

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  • DOI: https://doi.org/10.1007/BF01100151

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