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.
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Received 17 February 2000; accepted for publication 9 May 2000
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Levin, V., Michelitsch, T. & Sevostianov, I. Spheroidal inhomogeneity in a transversely isotropic piezoelectric medium. Archive of Applied Mechanics 70, 673–693 (2000). https://doi.org/10.1007/s004190000115
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DOI: https://doi.org/10.1007/s004190000115