Perturbation theory for acoustoelastic effects in heterogeneous media

A perturbation theory for acoustoelastic effects is expressed in two sets of coordinates referring to an elastic medium before or after the application of a static stress. The relation between the two corresponding definitions of the phase shift is derived and expressed in terms of energy densities...

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Bibliographic Details
Published in:Wave motion 2019-03, Vol.86, p.1-10
Main Authors: Mora, P., Spies, M.
Format: Article
Language:English
Subjects:
Acoustics
Acoustoelastic effect
Acoustoelasticity
Anisotropic media
Elastic media
Elasticity
Engineering Sciences
Half spaces
Initial coordinates
Natural coordinates
Perturbation theory
Rayleigh wave
Rayleigh waves
Residual stresses
Surface acoustic waves
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Summary:A perturbation theory for acoustoelastic effects is expressed in two sets of coordinates referring to an elastic medium before or after the application of a static stress. The relation between the two corresponding definitions of the phase shift is derived and expressed in terms of energy densities of the unperturbed wave field. This relation generalizes a well-known one, limited to homogeneous and isotropic cases, and allows converting the natural into the true velocity change with little restriction on the medium and type of wave. Examples include bulk waves in anisotropic media and Rayleigh waves in a heterogeneously loaded half-space. •Phase and velocity shifts are expressed in natural and initial coordinates.•A correspondence between both representations is derived.•The influence of anisotropy and heterogeneity is highlighted.•Examples include bulk and Rayleigh waves.
ISSN:0165-2125
1878-433X
DOI:10.1016/j.wavemoti.2018.12.002