Effects of material parameters on elastic band gaps of two-dimensional solid phononic crystals

摘要: In this paper we study the influences of material parameters on phononic band gaps two-dimensional solid crystals. The analysis begins with basic wave equations and derives directly determining gaps. These include mass density ratio, shear modulus Poisson’s ratios scatterer host materials (or equivalently, velocity acoustic impedance ratios). effects these are discussed in details for crystals different filling fractions lattice forms both antiplane in-plane modes. Band calculated by plane expansion method. results show that mode, ratio predominantly determines gap, while play equally important roles. maximum gap will appear at large sh...