Analysis of Conducting Rigid Inclusion at the Interface of Two Dissimilar Piezoelectric Materials

[+] Author and Article Information
Wei Deng, S. A. Meguid

Engineering Mechanics and Design Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario M5S 3G8 Canada

J. Appl. Mech 65(1), 76-84 (Mar 01, 1998) (9 pages) doi:10.1115/1.2789049 History: Received November 18, 1996; Revised September 03, 1997; Online October 25, 2007


This paper is concerned with the electro-elastic analysis of a conducting rigid line inclusion at the interface of two bonded piezoelectric materials. By combining the analytic function theory and the Stroh formalism, we were able to obtain closed-form expressions for the field variables. Both the mechanical stresses and the electric displacement are shown to have at least one of the following behaviors: (i) traditional square root singularity; (ii) nonsquare root singularity; and (iii) oscillatory singularity, which depend upon the electro-elastic mismatch at the interface. By using the static equilibrium conditions, the rigid rotation vector of the inclusion is determined and the extended stress singularity factors (ESSF) are evaluated.

Copyright © 1998 by The American Society of Mechanical Engineers
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