Size-effect on the band structures of the transverse elastic wave propagating in nanoscale periodic laminates

Based on the nonlocal elastic continuum theory, the band structures of the anti-plane transverse elastic wave propagating normally in nanoscale periodic laminates is investigated in detail in this paper. The localization factor computed by using the transfer matrix method is employed to describe the band structures. The variations of the displacement are calculated and analyzed. The influences of the size-effect of each sub-layer, the material and structural parameters on the cut-off frequency and the dense band zones are discussed in detail. The study presented in this paper provides a theoretical guide for the design and applications of the novel nanoscale wave devices.