ELASTIC-WAVE SCATTERING AND STONELEY WAVE LOCALIZATION BY ANISOTROPICIMPERFECT INTERFACES BETWEEN SOLIDS

Citation
W. Huang et Si. Rokhlin, ELASTIC-WAVE SCATTERING AND STONELEY WAVE LOCALIZATION BY ANISOTROPICIMPERFECT INTERFACES BETWEEN SOLIDS, Geophysical journal international, 118(2), 1994, pp. 285-304
Citations number
39
Categorie Soggetti
Geosciences, Interdisciplinary
ISSN journal
0956540X
Volume
118
Issue
2
Year of publication
1994
Pages
285 - 304
Database
ISI
SICI code
0956-540X(1994)118:2<285:ESASWL>2.0.ZU;2-R
Abstract
In this paper, elastic scattering and localization of guided waves on a thin anisotropic imperfect interfacial layer between two solids are studied. We have proposed a second-order asymptotic boundary condition approach to model such an interfacial layer. Here, using previous res ults, we derive simple stiffness-matrix representations of stress-disp lacement relations on the interface for the decomposed symmetric and a nti-symmetric elastic motions. The stiffness matrices are given for an off-axis orthotropic layer or, equivalently, for a monoclinic interfa cial layer. For the problem of scattering on such a thin anisotropic l ayer between identical isotropic semi-spaces the scattering matrices a re obtained in explicit forms. Analytical dispersion equations for Sto neley-type interfacial waves localized in such a system are also given . Additional results are included for imperfect interfaces, such as fr actured interfaces, modelled by spring boundary conditions. The applic ability of the stiffness-matrix approach to the layer model is analyse d by numerical comparison between the approximate and exact solutions. The numerical examples, which include reflection transmission on the interphase and dispersion curves of the interfacial waves, show that t he stiffness-matrix method is a simple and accurate approach to descri be wave interaction with a thin anisotropic interfacial layer between two solids.