Ultra-wide band gap in a two-dimensional phononic crystal with hexagonal lattices

A new two-dimensional (2D) phononic crystal (PC) constituted by the periodic hexagonal lattices, which is inspired by the scissor-like geodesic circle of the Hoberman sphere, is proposed in this study. The band structures, transmission spectrum as well as displacement field of the proposed PC are analyzed by employing the finite element method (FEM) with the Bloch theorem. Furthermore, the formation mechanism of the band gaps (BGs) is...