Abstract
We show the existence of certain thickness-twist modes in an unbounded, inhomogeneous piezoelectric plate of crystals with 6-mm symmetry or in polarized ceramics. The modes found are trapped, with the vibration confined to a portion of the plate. These modes are exact and satisfy the three-dimensional equations of piezoelectricity. Potentially, they can be used as the operating modes of plate resonators and acoustic wave sensors, in particular, thin film resonators of ZnO and AlN.
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