Accelerated Approach for the Band Structures Calculation of Phononic Crystals by Finite Element Method

• DOI: 10.3390/cryst6010011
• Publication Date: 2016-01-15T14:26:33Z
• Authors: Lin Han; Yan Zhang; Xiao-mei Li; Lin-hua Jiang; Da Chen
• Keywords: Bloch wave

We present here a fast and easily realized computational approach based on the finite element methods with consistent lumped mass matrices (CM-FEM LM-FEM, respectively), Bloch’s theorem, to calculate elastic band structures of phononic crystals. Two improvements, adjustment introduction theorem as well weighting treatment matrices, are performed. Numerical simulations show that convergence speed is accelerated obviously. Furthermore, method verified by analytical solutions in specified homogeneous cases. It concluded compared CM-FEM or gives higher precision results sparser mesh takes less time.