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Title: Two-dimensional time-harmonic elastodynamic green's functions for anisotropic media
Authors: Liu, G.R. 
Lam, K.Y. 
Issue Date: Sep-1996
Citation: Liu, G.R., Lam, K.Y. (1996-09). Two-dimensional time-harmonic elastodynamic green's functions for anisotropic media. International Journal of Engineering Science 34 (11) : 1327-1338. ScholarBank@NUS Repository.
Abstract: An exact matrix formulation for 2D time-harmonic elastodynamic Green's functions for anisotropic media is presented. In this formulation, a Fourier transform with respect to spacial coordinates is employed. The displacement and stress in the Fourier transform domain is obtained by using the method of modal expansion. A technique is suggested to evaluate the 2D inverse integral in the polar coordinate system to obtain the solution for the displacement and stress. In this technique, the inverse integration is carried out in a very efficient way along the wave number axis over a semi-infinite region by changing integral paths. Therefore a numerical integration is needed only for the polar angle over a finite region. Numerical examples are presented to demonstrate the present method, and wave fields for the displacement are investigated for isotropic and anisotropic media. Copyright © 1996 Elsevier Science Ltd.
Source Title: International Journal of Engineering Science
ISSN: 00207225
DOI: 10.1016/0020-7225(96)00040-7
Appears in Collections:Staff Publications

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