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

Published online by Cambridge University Press:  05 May 2011

W.-I. Liao ,
C.-S. Yeh  and
T.-J. Teng
W.-I. Liao*
Affiliation:
Department of Civil Engineering, National Taipei University of Technology, Taipei, Taiwan 10608, R.O.C.
C.-S. Yeh*
Affiliation:
Dep. of Civil Engineering, Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
T.-J. Teng*
Affiliation:
National Center for Research on Earthquake Engineering, Taipei, Taiwan 10668, R.O.C.
*
* Associate Professor
** Professor
*** Research Fellow
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Abstract

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.

Keywords

T-matrixElastic waveSteepest descentTunnel

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Type
Articles
Information
Journal of Mechanics , Volume 24 , Issue 4 , December 2008 , pp. 405 - 418
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2008

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