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


    loading  Checking for direct PDF access through Ovid

Abstract

HighlightsLimitations to published formulas are identified for depth-dependent stresses.A corrected perturbation theory is derived for general anisotropy.Explicit expressions are given for an isotropic half space.Validation with an exact method is provided.Examples include depth-dependent third order elastic constants.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.

    loading  Loading Related Articles