A mathematical analysis of anti-plane surface wave in a magneto-electro-elastic layered structure with non-perfect and locally perturbed interface

Abstract

In the present work, an analytical method has been adapted in order to study dispersive behaviour of anti-plane surface wave, in particular, Love wave in a homogeneous fully-coupled magneto-electro-elastic layer/half-space configuration. The interface is considered mechanically, electrically and magnetically non-perfect as well as slightly non-parallel where a geometrically perturbed region of finite span is considered to be small compared to the wavelength of observed phases. Closed-form expressions of dispersion equations for rectangular-shaped irregularity and non-perfect interface existing in magneto-electro-elastic layered structure have been derived analytically for four different types of electromagnetic boundary conditions. Eringen’s linear perturbation method and Fourier transformation have been used and the obtained results have been validated with the solutions for simpler layered structures. Two laminated composites BaTiO3/CoFe2O4 of different volume fractions have been considered in order to plot the dispersion curves in distinct cases. The effect of irregularity and mechanical, electrical and magnetic non-perfect bonding on phase velocity and magneto-electromechanical coupling has been studied. The present study holds potential applications in multidisciplinary fields, such as designing acoustic devices, magnetic field sensors and actuators, in particular, Love-wave SAW magnetic-field sensors as well as in seismology when seismic signals propagate through Earth medium consisting of magnetic materials.