Abstract
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 operation. Based on the smoothed Galerkin weakform, the discretized system equations associated with the eigenvalue problem are finally obtained. Numerical examples demonstrate that the present method possesses higher computational accuracy in band structures simulation of semi-infinite beam-like PCs.
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