Mechanically tunable band gaps in compressible soft phononic laminated composites with finite deformation

We propose a compressible soft periodic structure to study the real time control ability or tunability of longitudinal elastic waves in it by applying a mechanical biasing field. The simple and nonlinear neo-Hookean material model for compressible elastic materials is employed to theoretically investigate the mechanically tunable properties of band structures. The effective acoustic impedance difference is first introduced in the Letter which seems to be the dominating parameter in tuning the acoustic band gaps.