Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/20348

Title: Oblique Rayleigh wave scattering by a cylindrical cavity
Authors: Linton, C.M.
Thompson, Ian
Issue Date: 2015
Publisher: © Oxford University Press.
Citation: LINTON, C.M. and THOMPSON, I., 2015. Oblique Rayleigh wave scattering by a cylindrical cavity. Quarterly Journal of Mechanics and Applied Mathematics, 68(3), pp. 235-261.
Abstract: The problem of oblique wave scattering of a Rayleigh wave by a cylindrical cavity in an elastic half-space is solved using the multipole expansion method. Whereas in the analogous water-wave problem a single scalar field is expressed as an infinite multipole expansion, and in the Rayleigh wave case with normal incidence two scalar fields suffice, here we require three coupled scalar multipole expansions. The focus of our numerical results is on the energy scattered by the cavity and in particular the proportion of the incident wave energy that is reflected and transmitted in the form of Rayleigh waves and the proportion that is transformed into cylindrical bulk waves which propagate into the half-space.
Description: This is a pre-copyedited, author-produced PDF of an article accepted for publication in Quarterly Journal of Mechanics and Applied Mathematics following peer review. The version of record LINTON, C.M. and THOMPSON, I., 2015. Oblique Rayleigh wave scattering by a cylindrical cavity. Quarterly Journal of Mechanics and Applied Mathematics, 68(3), pp. 235-261 is available online at: http://dx.doi.org/10.1093/qjmam/hbv006
Version: Accepted for publication
DOI: 10.1093/qjmam/hbv006
URI: https://dspace.lboro.ac.uk/2134/20348
Publisher Link: http://dx.doi.org/10.1093/qjmam/hbv006
ISSN: 0033-5614
Appears in Collections:Published Articles (Maths)

Files associated with this item:

File Description SizeFormat
obliqueRW-FINAL.pdfAccepted version288.7 kBAdobe PDFView/Open

 

SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.