Abstract
We propose a compressible soft active periodic structure to study the real time control ability or tunability of longitudinal elastic waves in it in terms of pre-deformation induced by a mechanical or electric biasing field. The simple and generalized nonlinear superelastic material model for compressible soft active materials is employed to theoretically investigate the mechanically or electrically tunable properties of band structures. The effective acoustic impedance difference is introduced which seems to be the dominating parameter in tuning the acoustic band gaps.
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