Tunability of Longitudinal Wave Band Gap in One Dimensional Magneto-Elastic Phononic Crystal

Abstract

We study the feasibility of tuning the longitudinal wave band gap of one dimensional(1-D) magneto-elastic rod-shaped phononic crystal by employing external magnetic field and compressive pre-stress. The effective elastic, piezomagnetic constants and effective permeability are obtained by the introduction of a nonlinear magnetostrictive constitutive relation, respectively. Through applying the plane wave expansion (PWE) method, we obtain the generalized eigenvalue equation of band-gap structures. The results indicate that the applied static magnetic field and compressive pre-stress can control the band structure of phononic crystal.