Scattering of Elastic Waves by a Buried Tunnel Under Obliquely Incident Waves Using T Matrix

This paper first studies the transition matrix formulation for the analysis of responses of an elastic halfspace with a buried tunnel subjected to obliquely incident waves. The basis functions are constructed using the moving P-, SV-, and SH-wave source potentials and to represent the scattered and...

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Bibliographic Details
Published inJournal of mechanics Vol. 24; no. 4; pp. 405 - 418
Main Authors Liao, W.-I., Yeh, C.-S., Teng, T.-J.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.12.2008
Oxford University Press
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Summary:This paper first studies the transition matrix formulation for the analysis of responses of an elastic halfspace with a buried tunnel subjected to obliquely incident waves. The basis functions are constructed using the moving P-, SV-, and SH-wave source potentials and to represent the scattered and refracted wave fields in series forms. The associated T-matrix expression of elastic inclusion is derived using Betti's third identity. Second, this study proposes a technique for calculating the integral representation of basis functions in the wave-number domain using the method of steepest descent. Finally, typical numerical results obtained under incident plane waves are presented for verification.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1727-7191
1811-8216
DOI:10.1017/S1727719100002525