Spheroidal inhomogeneity in a transversely isotropic piezoelectric medium |
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| Authors: | V M Levin Th Michelitsch I Sevostianov |
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| Institution: | (1) Division of Mechanics, Petrozavodsk State University, Petrozavodsk, 185640, Russia, RU;(2) Institute for Theoretical Physics, University of Stuttgart, D-70550, Stuttgart, Germany, DE;(3) Department of Mechanical Engineering, Tufts University, Medford, MA 02155, USA Fax: +1-617 627 3058 e-mail: isevos01@tufts.edu, US |
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| Abstract: | Summary Piezoelectric material containing an inhomogeneity with different electroelastic properties is considered. The coupled electroelastic
fields within the inclusion satisfy a system of integral equations solved in a closed form in the case of an ellipsoidal inclusion.
The solution is utilized to find the concentration of the electroelastic fields around an inhomogeneity, and to derive the
expression for the electric enthalpy of the electroelastic medium with an ellipsoidal inclusion that is relevant for various
applications. Explicit closed-form expressions are found for the electroelastic fields within a spheroidal inclusion embedded
in the transversely isotropic matrix. Results are specialized for a cylinder, a flat rigid disk and a crack. For a penny-shaped
crack, the quantities entering the crack propagation criterion are found explicitly.
Received 17 February 2000; accepted for publication 9 May 2000 |
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| Keywords: | Inclusion piezoelectric material electro-mechanical field |
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