Bandgaps of Two Dimensional Phononic Crystals With Sliding Interface Conditions

Abstract

In the present paper, the DirichlettoNeumann map method is employed to compute the band structures of twodimensional phononic crystals with smoothly sliding connection conditions between the matrix and the scatterers, which are composed of square or triangular lattices of circular solid cylinders in a solid matrix. The solid/solid systems of various material parameters with sliding interface conditions are considered. The influence of sliding interface conditions on the band structures is analyzed and discussed. The results show that the smoothly sliding interface condition has significant effect on the band structure.