In-plane elastic wave propagation in nanoscale periodic piezoelectric/piezomagnetic laminates

Owing to the piezoelectric/piezomagnetic effects, the band structures of elastic waves in nanoscale smart periodic structures can be tuned actively, which can provide some new thoughts for the designs and applications of the nanoscale wave devices. In this paper, taking the size-effect into account and based on the nonlocal theory, the equations of wave motion including the magneto-electro-mechanical coupling effect are derived and solved. In particular, the propagation of elastic waves in nanoscale periodic piezoelectric/piezomagnetic laminates is investigated. Both the normal and oblique incidences are considered. The localization factors and dispersion curves are computed by the transfer matrix method, and the transmission spectra of a finite structure are obtained by the stiffness matrix method. The results show that the wave propagation properities such as the band structures, the wave localization degree and the value of the cut-off frequency can be tuned by the piezoelectric/piezomagnetic effects and the nanoscale size-effect.