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  4. On the validity of several previously published perturbation formulas for the acoustoelastic effect on Rayleigh waves
 
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2019
Journal Article
Title

On the validity of several previously published perturbation formulas for the acoustoelastic effect on Rayleigh waves

Abstract
This article revisits the evaluation by a perturbation theory of the modification of the Rayleigh wave velocity under a static loading varying with depth. Two derivations, that have been exposed in the past and presented as comparable, are questioned. A new derivation of the perturbation formula is given by adapting Auld's approach. Validation with exact calculations is provided. The examples cover depth-varying static stress as well as depth varying third order elastic properties.
Author(s)
Mora, Pierric
Fraunhofer-Institut für Zerstörungsfreie Prüfverfahren IZFP  
Spies, Martin
Fraunhofer-Institut für Zerstörungsfreie Prüfverfahren IZFP  
Journal
Ultrasonics  
DOI
10.1016/j.ultras.2018.07.020
Language
English
Fraunhofer-Institut für Zerstörungsfreie Prüfverfahren IZFP  
Keyword(s)
  • acoustoelastic effect

  • Rayleigh wave

  • dispersion

  • perturbation theory

  • residual stress

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