Impact of localized inhomogeneity on the surface-wave velocity and bulk-wave reflection in solids.

Abstract:

:The effect of a weak surface, near-surface and interfacial inhomogeneity on the frequency dependence of the surface wave velocity and of the SH (shear horizontal) wave reflectivity in isotropic elastic media is studied analytically and numerically. The inhomogeneity is modeled as an infinite planar layer with continuously varying properties. Weak inhomogeneity may markedly affect the dispersion of the Rayleigh velocity and especially of the reflectivity. It is demonstrated how this effect, particularly pronounced at high frequency, depends on the extent of inhomogeneity. The material data for damaged and ideal concrete and several simple examples of inhomogeneity profiles are utilized for the numerical calculations based on the Peano expansion. The use of explicit low- and high-frequency approximations is also exemplified. Among these, simple WKB asymptotics are shown to be particularly helpful for the Rayleigh velocity in the case of a prominent inhomogeneity attached to the surface and for the reflection on weak interfaces.

journal_name

Ultrasonics

journal_title

Ultrasonics

authors

Baron C,Shuvalov AL,Poncelet O

doi

10.1016/j.ultras.2006.09.001

subject

Has Abstract

pub_date

2007-03-01 00:00:00

pages

1-12

issue

1

eissn

0041-624X

issn

1874-9968

pii

S0041-624X(06)00358-1

journal_volume

46

pub_type

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