Acoustic Filtering Properties of 3D Elastic Metamaterials Structured by Crack-Like Inclusions

Abstract

Normal penetration of time-harmonic longitudinal elastic wave through the equidistant planes with the double-periodic crack-like inclusions in 3D metamaterial is considered. Spring-like boundary conditions are used for modeling the obstacles and wide-spacing approximation is adopted for the determination of wave reflection and transmission coefficients in the structure. Then involved scattering matrix for a single plane of inclusions is defined numerically by the boundary integral equation method (BIEM). The frequency intervals with total wave reflection are revealed and studied depending on the inclusion rigidity and a number of inclusion planes.