Propagation behaviors of shear horizontal waves in piezoelectric-piezomagnetic periodically layered structures

This paper investigates shear horizontal (SH) waves propagating in a periodically layered structure that consists of piezoelectric (PE) layers perfectly bonded with piezomagnetic (PM) layers alternately. The explicit dispersion relations are derived for the two cases when the propagation directions of SH waves are normal to the interface and parallel to the interface, respectively. The asymptotic expressions for dispersion relations are also given when the wave number is extremely small. Numerical results for stop band effect and phase velocity are presented for a periodic system of alternating BaTiO₃ and Terfenol-D layers. The influence of volume fraction on stop band effect and dispersion behaviors is discussed and revealed.