Explicit dynamic finite element method for band-structure calculations of 2D phononic crystals

A fluid–solid coupling numerical algorithm based on explicit dynamic finite element method (DFEM) for band-structure calculation in phononic crystals is presented. Numerical examples are developed for 2D square phononic lattice with Au cylinders in epoxy matrix, and mercury cylinders in Al matrix. The results are compared with those calculated by FDTD and PWE methods, which indicate that DFEM is efficient in dealing with the wave propagation in phononic crystals, and displays potential abilities in dealing with anisotropic and nonlinear problems.