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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.
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Tasi et al. (1964) studied this question.
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