Finite element method for analysis of band structures of three dimensonal phononic crystals

In this paper, a computational method based on finite element method is presented to evaluate the propagation of acoustic waves through three-dimensional phononic crystals consisting of simple cubic (SC), body-centered cubic (BCC) or face-centered cubic (FCC) array spheres embedded in a host. Complete and accurate band structure information is obtained to identify the band gaps and eigenmodes. The results indicate that the finite element method is precise for the band structure computation of the phononic crystals and can reduce computing time to a certain extent.