A Method to Evaluate Three-Dimensional Time-Harmonic Elastodynamic Green’s Functions in Transversely Isotropic Media

[+] Author and Article Information
H. Zhu

Department of Engineering Science and Mechanics, The University of Tennessee, Knoxville, TN 37996-2030

J. Appl. Mech 59(2S), S96-S101 (Jun 01, 1992) doi:10.1115/1.2899513 History: Received February 20, 1991; Revised August 08, 1991; Online March 31, 2008


The three-dimensional time-harmonic elastodynamic Green’s functions in infinite transversely isotropic media have been derived explicitly. The Green’s functions consist of the corresponding static Green’s functions and double integral representations over a finite domain with the integrands being continuous. The Green’s functions will reduce to those for the isotropic case when the isotropic elastic constants are substituted. The singular parts of the Green’s functions have been shown to be the same as those of the static ones. The far-field approximations have been obtained by using the stationary phase method. In addition, a simpler method to construct wave front curves has been presented.

Copyright © 1992 by The American Society of Mechanical Engineers
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