Half-Space Green’s Functions for Transversely Isotropic Piezoelectric Solids

[+] Author and Article Information
M. L. Dunn, H. A. Wienecke

Department of Mechanical Engineering, University of Colorado, Boulder, CO 80309

J. Appl. Mech 66(3), 675-679 (Sep 01, 1999) (5 pages) doi:10.1115/1.2791548 History: Received October 09, 1996; Revised February 14, 1999; Online October 25, 2007


We obtain explicit closed-form solutions for the half-space Green’s functions for a transversely isotropic piezoelectric solid. The boundary of the half-space is taken to be a plane normal to the unique material axis. The Green’s functions are obtained using a formulation where general solutions in transversely isotropic piezoelectricity are expressed in terms of two potential functions; one satisfying a weighted triharmonic equation and the other satisfying a weighted harmonic equation. By assuming a series solution for the potentials we derive explicit expressions for the Green’s functions.

Copyright © 1999 by The American Society of Mechanical Engineers
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