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On the theory of smooth topographic waveguides for Rayleigh waves

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conference contribution
posted on 05.11.2019 by Victor V. Krylov
In the present paper, it is demonstrated that the existence of guided modes of Rayleigh waves on some types of smooth solid surfaces, often called 'smooth topographic waveguides', can take place under the condition of total internal reflection of Rayleigh waves from the 'external' areas of surfaces surrounding the 'internal' areas of wave localisation. In the framework of the geometrical acoustics approximation, the possibility of total internal reflection of Rayleigh waves in smooth topographic structures of complex geometry is linked to the presence of internal areas on the surfaces characterised by the geometry-modified angular-dependent local phase velocities of Rayleigh waves that are smaller in the direction of guided wave propagation than their velocities in the surrounding external areas. The above-mentioned condition of wave localisation is illustrated by theoretical calculations of the dispersion curves of guided waves for several examples of guided wave propagation. The obtained results for the dispersion curves of localised waves are compared with the known solutions, where available.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Aeronautical and Automotive Engineering

Published in

2019 IEEE International Ultrasonics Symposium (IUS)

Pages

2198 - 2201

Source

IEEE International Ultrasonics Symposium 2019

Publisher

IEEE

Version

AM (Accepted Manuscript)

Rights holder

© IEEE

Publisher statement

Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Acceptance date

10/09/2019

Publication date

2019-12-09

Copyright date

2019

ISBN

9781728145969

ISSN

1948-5727

Language

en

Location

Glasgow, Scotland

Event dates

6th October 2019 - 9th October 2019

Depositor

Prof Victor Krylov Deposit date: 5 November 2019

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