Lamb Waves in One-Dimensional Hexagonal Piezoelectric Quasicrystal Layered Plate‌s

Abstract

Lamb wave propagation in one-dimensional hexagonal piezoelectric quasicrystal (PQC) layered plates is investigated. The coupled phonon, phason, and electric fields are considered simultaneously, and a multilayered plate model with traction-free and electrically open-circuited surfaces is established. By introducing rectangular window functions and expanding the field variables in each layer using Legendre polynomials, the governing wave equations are transformed into a matrix eigenvalue problem, from which the phase velocity dispersion characteristics are obtained. The effects of phonon–phason coupling, layer thickness, stacking sequence, and piezoelectric properties on Lamb wave behavior are systematically examined. The results show that the stacking sequence and layer thickness have a pronounced and mode-dependent influence on the dispersion curves, indicating that guided-wave characteristics can be effectively tailored through structural design. Moreover, the piezoelectric effect increases the phase velocities of both phonon and phason modes, while an increase in the dielectric constant weakens this effect. The dielectric constant of the middle layer plays a dominant role at low frequencies, whereas that of the surface layer becomes more influential at high frequencies. These findings provide theoretical guidance for the design of multifunctional PQC layered structures with controllable wave characteristics.