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Surface Waves on a Cavity in a Semiinfinite Elastic Medium

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Abstract

Biot [5] examined the propagation of waves along the free surface of a cylindrical cavity in an elastic body of infinite extent and obtained a dispersion relation for the velocity of this wave in terms of the ratio of the wavelength to the cavity diameter. This paper contains solutions for waves in a semiinfinite elastic medium with a cylindrical cavity with axially symmetric harmonic loading of the plane surface. The solutions are expressed in terms of Lame potentials which are represented by combinations of integrals containing trigonometric kernels and kernels of Weber transforms. A solution is obtained for volume waves and Biot waves. The relative velocity and relative length of surface waves are studied as functions of the loading frequency.

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Authors and Affiliations

  1. Taurian National University, Ukraine

    A. R. Snitser

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  1. A. R. Snitser
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Snitser, A.R. Surface Waves on a Cavity in a Semiinfinite Elastic Medium. Journal of Mathematical Sciences 107, 4386–4394 (2001). https://doi.org/10.1023/A:1012552416646

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  • DOI: https://doi.org/10.1023/A:1012552416646

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