A hybrid plane wave expansion/edge-based smoothed finite element method for band structures simulation of semi-infinite beam-like phononic crystals

This paper presents a hybrid plane wave expansion/edge-based smoothed finite element method (PWE/ES-FEM) for band structures simulation of semi-infinite beam-like phononic crystals (PCs). The field variables are first approximated using linear shape functions in conjunction with the spatial Fourier series. Within the further formed edge-based smoothing domains, the gradient smoothing technique (GST) is employed to perform the strain smoothing...