An analytical study on interfacial dissipation in piezoelectric rectangular block resonators with in-plane longitudinal-mode vibrations

摘要

This paper presents an analytical study on interfacial dissipation in piezoelectric rectangular block resonators with in-plane longitudinal-mode vibrations. Based on the related theories of solid-solid interfaces that have been developed in continuum mechanics and materials science, the physical mechanism of interfacial dissipation is first analyzed, and interfacial dissipation in a film-substrate system is then formulated in terms of a stress jump across the interface and its accompanying interfacial slip in continuum mechanics, and in terms of an interface stress and its corresponding interface strain in materials science, respectively. Consequently, modeling assumptions for interfacial dissipation in piezoelectric block resonators are proposed and analytical models for their interfacial dissipation in the two fields are developed. Comparison of the analytical models with experimental data in the literature is conducted for their validity. This analytical study not only correlates interfacial dissipation in piezoelectric block resonators to the design parameters of such devices, but also establishes the correlation between continuum mechanics and materials science pertaining to interfacial dissipation.