title: Propagation of thickness-twist waves in a quartz plate with asymmetric mass layers.
abstract: An exact solution is obtained for thickness-twist waves in a quartz plate with asymmetric mass layers. A simple, approximate expression for cutoff frequencies is given.
authors.forename: Jiashi
authors.initials: J
authors.lastname: Yang
authors.forename: Shaohua
authors.initials: S
authors.lastname: Guo