The directional propagation characteristics of elastic wave in two-dimensional thin plate phononic crystals

The directional propagation characteristics of elastic wave during pass bands in two-dimensional thin plate phononic crystals are analyzed by using the lumped-mass method to yield the phase constant surface. The directions and regions of wave propagation in phononic crystals for certain frequencies during pass bands are predicted with the iso-frequency contour lines of the phase constant surface, which are then validated with the harmonic responses of a finite two-dimensional thin plate phononic crystals with 16×1616×16 unit cells. These results are useful for controlling the wave propagation in the pass bands of phononic crystals.