Shear horizontal wave propagation in periodically layered composites

In this paper, the transverse resonance approach to guided wave analysis is applied to shear horizontal (SH) wave propagation in periodically layered composites. It is found for SH waves that at high values of the guided wavevector beta, the wave energy is trapped in the slower of the two media and propagates accordingly at the slower wavespeed. At low values of beta, however, the modes demonstrate a clustering behavior, indicative of the underlying Floquet wave structure, The number of modes in a cluster is observed to correlate with the number of unit cells in the layered plate, New physical insights into the behavior of these systems are obtained by analyzing the partial waves of the guided SH modes in terms of Floquet waves. We show that the fast and slow shear waves in the periodically layered composite play an analogous role to the longitudinal and shear partial waves comprising Lamb waves in a homogeneous plate.