On the dimensionality of elastic wave scattering within heterogeneous media
File(s)
Accepted version
Author(s)
Van Pamel, A
Nagy, PB
Lowe, MJS
Type
Journal Article
Abstract
Elastic waves scatter when the wavelength becomes comparable to random spatial fluctuations in the elastic properties of the propagation medium. It is postulated that within the long-wavelength Rayleigh regime, the scattering induced attenuation obeys a D = 1,2,3 dimensional dependence on wavenumber, kD+1, whilst within the shorter-wavelength stochastic regime, it becomes independent of the dimensions and thus varies as k2. These predictions are verified numerically with a recently developed finite element method in three dimensions (3D), two dimensions (2D), and one dimension (1D), for the example of ultrasonic waves propagating within polycrystalline materials. These findings are thought to be practically useful given the increasing uptake of numerical methods to study highly scattering environments which exhibit multiple scattering, but often remain limited to 2D given computational constraints. It is hoped that these results lay the groundwork for eventually producing computationally efficient 2D simulations that are representative of 3D.
Date Issued
2016-12-19
Date Acceptance
2016-11-21
Citation
Journal of the Acoustical Society of America, 2016, 140 (6), pp.4360-4366
ISSN
0001-4966
Publisher
Acoustical Society of America
Start Page
4360
End Page
4366
Journal / Book Title
Journal of the Acoustical Society of America
Volume
140
Issue
6
Copyright Statement
© 2016 Acoustical Society of America.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000390347900041&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Life Sciences & Biomedicine
Acoustics
Audiology & Speech-Language Pathology
POLYCRYSTALLINE MATERIALS
MULTIPLE-SCATTERING
LONGITUDINAL-WAVE
ULTRASONIC-WAVES
SEISMIC-WAVES
PROPAGATION
SIMULATIONS
ATTENUATION
VELOCITY
MD Multidisciplinary
Publication Status
Published