TY  - EJOU
AU  - Yan, Zhi-Zhong  
AU  - Wang, Yue-Sheng  
AU  - Zhang, Chuanzeng  

TI  - A Method Based on Wavelets for Band Structure Analysis of Phononic Crystals
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2008
VL  - 38
IS  - 1
SN  - 1526-1506

AB  - In this paper, a numerical method based on the wavelet theory is developed for calculating band structures of 2D phononic crystals consisting of general anisotropic materials. After systematical consideration of the appropriate choice of wavelets, two types of wavelets, the Haar wavelet and Biorthogonal wavelet, are selected. Combined with the supercell technique, the developed method can be then applied to compute the band structures of phononic crystals with point or line defects. We illustrate the advantages of the method both mathematically and numerically. Particularly some representative numerical examples are presented for various material combinations (solid-solid, solid-fluid and fluid-fluid) with complex lattice structures to show the accuracy, fast convergence and wide applicability of the method.
KW  - elastic wave
KW  -  phononic crystal
KW  -  band structure
KW  -  wavelet
KW  -  numerical method

DO  - 10.3970/cmes.2008.038.059