Lamb wave band gaps in one-dimensional magnetoelastic phononic crystal plates

In this paper, we present the theoretical calculations of the dispersion curves of Lamb mode waves in one-dimensional magnetoelastic phononic crystal (PC) plates by using the finite element method (FEM) and the plane wave expansion (PWE) method. The effects of filling fraction and plate thickness to lattice pitch ratio on the first band gap (FBG) are analyzed under different magnetic boundary conditions. The numerical results show that the FBG characteristics are significantly influenced by different magnetic boundary conditions. Further calculations demonstrate that the filling fraction and the plate thickness to lattice pitch ratio are the most important parameters that affect the width and location of the FBG.