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Construction of Dynamic Fundamental Solutions for Piezoelectric Solids

[+] Author and Article Information
Naum Khutoryansky, Horacio Sosa

Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia PA 19104

Appl. Mech. Rev 48(11S), S222-S229 (Nov 01, 1995) doi:10.1115/1.3005076 History: Online April 29, 2009

Abstract

Fundamental solutions are derived within the framework of transient dynamic, three-dimensional piezoelectricity. The purpose of the article is to show alternate integral representations for such solutions. Thus, a representation over the unit sphere in accordance to a methodology based on the plane wave decomposition is provided. It is shown, however, that more efficient representations from a computational point of view can be achieved through appropriate coordinate transformations. Hence, representations of the fundamental solutions over surfaces of slowness are provided as novel alternatives to more classical approaches. The computational benefits of these new representations are displayed through a numerical example involving a transversely isotropic piezoelectric solid.

Copyright © 1995 by The American Society of Mechanical Engineers
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