Magnetoelectroelastic shear body waves in periodically layered metalized ferrite–piezoelectric media

Abstract

A method of deriving the dispersion equations for magnetoelectroelastic shear waves in periodically layered media is proposed. The media are formed by uniting identical metalized laminates, each consisting of two dissimilar piezoelectric layers separated by a layer with the properties of ferrite. A numerical analysis is carried out and the propagation of body waves in different structures consisting of ZnO and GaYtC layers is described within wide ranges of frequencies and wave numbers. The influence of the physical, mechanical, and geometrical parameters of the layers on the structure of the transmission and suppression zones and the effect of the piezoelectric effect of the position of transmission edges are examined Keywords: shear body wave, periodically layered medium, piezoelectric layer, ferrite layer Introduction.Recently, interest to waves of different physical nature in periodic structures with complex physical and mechanical properties, including composite materials with alternating piezoelectric and magnetostrictive components has heightened considerably. Studying the patterns of propagation of magnetoelectroelastic waves in such structures is of fundamental and applied importance. Yttrium iron garnet sheets produced by liquid-phase epitaxy are usually used as ferrimagnetic materials. The combination of ferrimagnetic and piezoelectric layers in radio-electronic devices provides additional ways to control the propagation of signals, primarily owing to the interaction of mechanical, electric, and magnetic components.Most studies on the acoustic properties of layered media address body and surface waves in regularly layered structures. The dispersion equations are derived and analyzed there based on various mathematical approaches [8,10,15,16]. Shear waves in various inhomogeneous piezoelectric media were studied in [2][3][4]20], and the spectra of magnetoelastic waves in periodic structures consisting of ferromagnetic and nonmagnetic layers were analyzed in [5,9,[11][12][13][14]17]. Magnetostatic waves in various layered structures were examined in [7]. Research of magnetoelectroelastic shear waves was pioneered in [18] where waves propagating along the interface between piezoelectric and magnetoelastic half-spaces were discovered. The dispersion equations for normal waves in ferrite-piezoelectric structures weare derived in [6].The present paper discusses shear body waves in periodically layered structures formed of piezoelectric-ferritepiezoelectric sandwiches with face layers metalized.1. Problem Formulation and Problem-Solving Method. Let us consider, in a Cartesian coordinate system Oxyz, a layered structure made from a parent sandwich periodically repeated along the Ox-axis. The sandwich includes a piezoelectric layer of class 6mm and thickness h p1 , a ferrite layer of cubic symmetry and thickness h f , and a piezoelectric layer of class 6mm and thickness h p2 . The surfaces of the sandwich are metalized, their mechanical properties are neglected, and their shielding effect is taken into account....