Rayleigh wave scattering by a wedge: A boundary method approach
type: Item
instance of: scholarly article
title: Rayleigh wave scattering by a wedge: A boundary method approach
zbMATH Open document ID: 0605.76022
DOI: 10.1016/0093-6413(86)90013-3
published in: Mechanics Research Communications
publication date: 1986-01-01T00:00:00Z
review text: We present a solution procedure to a problem of scattering of a time harmonic Rayleigh wave incident upon a wedge on the half-space. This problem has been motivated by the particular, as yet unsolved problem in surface acoustic transducers: Rayleigh wave scattering by a surface layer on a half-space. Both problems have proved quite resistant to various classical solution techniques and so the simpler one (wedge problem) is being tackled first in order to provide a pilot solution. The solution procedure is based on the ''Theory of connectivity'' recently developed by \textit{I. Herrera} [see e.g.: Appl. Math. Modelling 3, 151-156 (1979; Zbl 0407.35008)]. Several wave scattering problems were already tackled by this method but mostly with restriction to the SH motions. To the best of our knowledge, this paper presents a first application of this method to an inplane wave scattering problem and other problem cases will follow.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 74J15
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3978614
zbMATH Keywords: plane linear elastodynamic problem
zbMATH Keywords: reduced wave potentials
zbMATH Keywords: free boundaries
zbMATH Keywords: problem of scattering
zbMATH Keywords: time harmonic Rayleigh wave
zbMATH Keywords: wedge on the half-space
zbMATH Keywords: surface acoustic transducers
zbMATH Keywords: Rayleigh wave scattering
zbMATH Keywords: classical solution techniques
zbMATH Keywords: Theory of connectivity
author: Martin Ostoja-Starzewski
MaRDI profile type: Publication
full work available at URL: 0093-6413(86)90013-3
OpenAlex ID: W2009641621
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description: scientific article; zbMATH DE number 3978614