Abstract
Theoretically the paper confirmed the existence of the acoustic Zitterbewegung of the shear stress field in two dimensional phononic crystals, in which epoxy insects arranged in square are embedded in an electroreological material matrix. The shear storage modulus, the loss modulus of electroreological material, and the band gaps of the phononic crystals are changed with electric field strength. Therefore, the oscillatory period and amplitude of the acoustic Zitterbewegung of the shear stress field can be controlled by external voltages. This could be of importance in designing an experiment to investigate the acoustic Zitterbewegung of the shear stress field in two dimensional phononic crystals with electroreological material matrix.
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