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

: Mora, Pierric; Spies, Martin


Ultrasonics 91 (2019), pp.114-120
ISSN: 0041-624X
Journal Article
Fraunhofer IZFP ()
acoustoelastic effect; Rayleigh wave; dispersion; perturbation theory; residual stress

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.