Theoretical and numerical modeling of Rayleigh wave scattering by an elastic inclusion
File(s)
Author(s)
Li, Shan
Huang, Ming
Song, Yongfeng
Lan, Bo
Li, Xiongbing
Type
Journal Article
Abstract
This work presents theoretical and numerical models for the backscattering of two-dimensional Rayleigh waves by an elastic inclusion, with the host material being isotropic and the inclusion having an arbitrary shape and crystallographic symmetry. The theoretical model is developed based on the reciprocity theorem using the far-field Green's function and the Born approximation, assuming a small acoustic impedance difference between the host and inclusion materials. The numerical finite element (FE) model is established to deliver a relatively accurate simulation of the scattering problem and to evaluate the approximations of the theoretical model. Quantitative agreement is observed between the theoretical model and the FE results for arbitrarily shaped surface/subsurface inclusions with isotropic/anisotropic properties. The agreement is excellent when the wavelength of the Rayleigh wave is larger than, or comparable to, the size of the inclusion, but it deteriorates as the wavelength gets smaller. Also, the agreement decreases with the anisotropy index for inclusions of anisotropic symmetry. The results lay the foundation for using Rayleigh waves for quantitative characterization of surface/subsurface inclusions, while also demonstrating its limitations.
Date Issued
2023-04-01
Date Acceptance
2023-03-28
Citation
Journal of the Acoustical Society of America, 2023, 153 (4), pp.2336-2350
ISSN
0001-4966
Publisher
Acoustical Society of America
Start Page
2336
End Page
2350
Journal / Book Title
Journal of the Acoustical Society of America
Volume
153
Issue
4
Copyright Statement
Copyright (year) Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America.
The following article appeared in J Acoust Soc Am 153, 2336 (2023) and may be found at https://doi.org/10.1121/10.0017837
The following article appeared in J Acoust Soc Am 153, 2336 (2023) and may be found at https://doi.org/10.1121/10.0017837
Identifier
https://www.ncbi.nlm.nih.gov/pubmed/37092942
PII: 2884503
Publication Status
Published
Coverage Spatial
United States
Article Number
2336
Date Publish Online
2023-04-19