Thermoelastic Dissipation in High-Frequency Vibrations of Crystal Plates

Abstract

A system of approximate, two-dimensional equations is derived for the thermoelastic response of crystal plates. The equations take into account the coupling of thickness-shear, flexural, and extensional motion with symmetric and antisymmetric thermal modes. The thermoelastic dissipation predicted at high frequencies by the approximate theory is compared with a three-dimensional solution, using the free vibrations of an AT-cut quartz plate as a basis of comparison.