The Full-Space Elastodynamic Green’s Functions for Time-Harmonic Radial and Axial Ring Sources in a Homogeneous Isotropic Medium

[+] Author and Article Information
Y. Lu

Southwestern Research Institute, P.O. Drawer 28510, San Antonio, TX 78228-0510

J. Appl. Mech 66(3), 639-645 (Sep 01, 1999) (7 pages) doi:10.1115/1.2791500 History: Received October 10, 1998; Revised April 09, 1999; Online October 25, 2007


The elastodynamic Green’s functions for time-harmonic radial and axial ring sources in a homogeneous, isotropic, linear elastic full-space medium are derived using the Fourier-Hankel transform. The Green’s functions are found to have the same logarithmic singularities as the Legendre functions of positive and negative half-degree of the second kind. As the frequency approaches zero, the Green’s functions approach the corresponding elastostatic Green’s functions. The far-field displacement and stress components are also derived.

Copyright © 1999 by The American Society of Mechanical Engineers
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