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Time-dependent waves of rayleigh type near the surface of an inhomogeneous elastic body

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Abstract

The well studied, high-frequency Rayleigh waves polarized in a plane normal to a cross section of the surface of an inhomogeneous elastic body with phase speed close to the speed of transverse waves are generalized to the case of the time-dependent equations of elasticity. For the wave field uniform asymptotics are obtained in the form of space-time ray expansions of two types: with a real eikonal (for transverse waves diffracted at the surface) and with a complex eikonal (for a longitudinal wave damped away from the surface).

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Literature cited

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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 156, pp. 168–183, 1986.

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Yanson, Z.A. Time-dependent waves of rayleigh type near the surface of an inhomogeneous elastic body. J Math Sci 50, 1785–1795 (1990). https://doi.org/10.1007/BF01097111

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Keywords

  • Transverse Wave
  • Longitudinal Wave
  • Wave Field
  • Rayleigh Wave
  • Elastic Body