PHONONIC BAND GAP PROPERTIES OF DOUBLY PERIODIC ARRAYS OF COATED INCLUSIONS

摘要

We study the propagation of waves in an elastic matrix containing a doubly periodic array of coated circular cylindrical inclusions. The aim is to find band gaps, intervals of frequency for which the waves do not propagate. We show that arrays of inclusions, consisting of a core and a coating, exhibit band gap properties for elastic waves. In particular, results show that by choosing appropriate elastic parameters for the coating we can create a composite structure which acts as a homogeneous material in the low frequency range.