Plane harmonic waves in an infinite piezoelectric plate with dissipation

In a previous paper, by Lee, Liu and Ballato (IEEE Ultr. Symp. pp. 869-72, 1999), the 3D equations of linear piezoelectricity with quasi-electrostatic approximation were extended to include losses attributed to the mechanical damping in solid and the resistance in current conduction. These equations were employed to investigate the plane wave propagation in an unbounded solid and forced thickness vibration of an infinite piezoelectric plate. In this paper, these equations are employed to obtain solutions of plane harmonic wave of arbitrary direction in an infinite and dissipative piezoelectric plate with general crystal symmetry, in a manner similar to that of Syngellakis and Lee (J. Appl. Phys., vol. 73, no. 11, pp. 7152-61, 1993). Dispersion curves are computed and plotted for real frequencies and complex wave numbers. Effects of energy loss on the wave propagation are examined in detail for AT-cut quartz as well as barium titanate ceramic plate.