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In this paper, the analysis begins with the basic wave equations and derives the material parameters directly determining band gaps of the mixed in-plane wave mode in a two-dimensional phononic crystal. These parameters include the mass density ratio, the shear modulus ratio and Poisson's ratios of the scatterer and host materials. The effects of these parameters on the band gaps are discussed for...
The band structures of bending waves propagating in the phononic crystal thin plates with point defect are explored based on the supercell technique combined with the improved plane wave expansion method. The plate is composed of a periodic array of circular crystalline Al2O3 cylinders embedded in the epoxy matrix for square lattice. The point defect is introduced by changing one of the cylinders'...
In this paper, starting with wave equation, we prove that material parameters determining directly phononic band gaps of the z-mode are the mass density ratio and the shear modulus ratio. Plane wave expansion method is used for calculating band gaps. The influences of these parameters on phononic band gaps are analyzed for different lattices: square and hexagonal. The results show that the maximum...
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