Longitudinal wave attenuation in polycrystals with elongated grains: 3D numerical and analytical modeling
File(s)
Author(s)
Huang, M
Sha, G
Huthwaite, P
Rokhlin, S
Lowe, MJS
Type
Journal Article
Abstract
This work develops a second-order approximation (SOA) model and a three-dimensional (3D) finite element (FE) model to calculate scattering-induced attenuation for elastic wave propagation in polycrystals with elongated grains of arbitrary crystal symmetry. The SOA model accounts for some degree of multiple scattering, whereas the 3D FE model includes all scattering possibilities. The SOA model incorporates the accurate geometric two-point correlation function obtained from the FE material systems to enable comparative studies between the two models. Also, the analytical Rayleigh and stochastic asymptotes are presented to provide explicit insights into propagation behaviors. Quantitative agreement is found between the FE and analytical models for all evaluated cases. In particular, the FE simulations support the SOA model prediction that grain shape does not exert influence on attenuation in the Rayleigh regime and its effect emerges as frequency increases to the stochastic regime showing anisotropy in attenuation. This attenuation anisotropy intensifies with the increase in frequency, but it exhibits a complicated behavior as frequency transits into the geometric regime. Wavefield fluctuations captured from the FE simulations are provided to help observe these complex scattering behaviors. The proportionality of attenuation to elastic scattering factors is also quantitatively evaluated.
Date Issued
2021-04-01
Date Acceptance
2021-03-01
Citation
Journal of the Acoustical Society of America, 2021, 149 (4), pp.2377-2394
ISSN
0001-4966
Publisher
Acoustical Society of America
Start Page
2377
End Page
2394
Journal / Book Title
Journal of the Acoustical Society of America
Volume
149
Issue
4
Copyright Statement
© 2021 Acoustical Society of America.
Sponsor
Imperial College Trust
Engineering & Physical Science Research Council (EPSRC)
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000638093100002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Grant Number
PC2508ICT
EP/L022125/1
Subjects
Science & Technology
Technology
Life Sciences & Biomedicine
Acoustics
Audiology & Speech-Language Pathology
Publication Status
Published
Date Publish Online
2021-04-07