On the existence of surface-wave solutions for anisotropic elastic half-spaces with free surface
- 1 February 1976
- journal article
- conference paper
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 47 (2) , 428-433
- https://doi.org/10.1063/1.322665
Abstract
A proof is developed that for a given direction of propagation on the free surface of a half‐infinite anisotropic crystal, a surface‐wave solution with a certain phase velocity vR<vL, where vL is the limiting velocity, will always exist, except in the special case when the bulk wave defining the limiting velocity satisfies the condition of a free surface. The proof is in terms of the surface impedance, which relates the amplitude at the surface of a surface wave with the external forces needed at the surface. The properties of the impedance as a function of phase velocity determines whether a surface wave not requiring external forces at the surface exists for a certain phase velocity. The proof is valid also in the case of degeneracies in the eigenvalue problem entering the analysis.This publication has 5 references indexed in Scilit:
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