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
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.