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A two-dimensional theory for piezoelectric layers used in electro-mechanical transducers—I : Derivation
Authors:N Bugdayci  D B Bogy
Abstract:An Nth order two-dimensional theory is derived for strongly coupled piezoelectric layers that is suitable for use in analyzing electro-mechanical transducer response in circumstances where the field variations over the transducer face are important. Specific formulae are given for the widely used ceramic PZT-5.The first few branches of the dispersion curves for PZT-5 are obtained numerically for both the three-dimensional theory and the approximate two-dimensional theory. The correspondence of these curves at long wavelengths is used to determine a single correction factor. The face boundary conditions accommodate unknown traction and voltage so that the theory can be used in transducer applications.
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