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

Autor:	Wen-I Liao, Tsung-Jen Teng, Chau-Shioung Yeh
Rok vydání:	2008
Předmět:	Physics Series (mathematics) Scattering Applied Mathematics Mechanical Engineering Acoustics Mathematical analysis Stochastic matrix Plane wave Basis function Condensed Matter Physics Domain (mathematical analysis) Method of steepest descent Gradient descent
Zdroj:	Journal of Mechanics. 24:405-418
ISSN:	1811-8216 1727-7191
DOI:	10.1017/s1727719100002525
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e4e3306905c3708e01f33b6e18bdbfd4 https://doi.org/10.1017/s1727719100002525 Zobrazit plný text záznamu