Bg waves in a piezo–flexo-magnetic layered model with impedance boundary and imperfect interface

This work analyzes the propagation of BG wave in a layered model composed of a piezo-flexo-magnetic (PFM) layer of finite width imperfectly bonded to a PFM half-space with consideration of impedance boundary at the free surface of layer. The flexo-magnetic phenomenon introduces loss which results in attenuation of propagating BG wave. Using suitable surface and interface conditions, a complex frequency equation is obtained, which relates real wave number with a complex form of wave velocity with the help of material, interface, impedance, and flexo-magnetic parameters. The dispersion and attenuation relations of BG waves are derived from separating this frequency relation into real and imaginary parts. These dispersion and attenuation equations relate wave number with phase and damp velocities, respectively. With the help of these relations, the phase/damp velocities are plotted against wave number illustrating the influence of interface imperfection parameter, the flexo-magnetic parameter corresponding to layer and half-space, impedance parameter, & layer width in magnetically short (MS) and magnetically open (MO) conditions. The impact of varying damp velocity on phase velocity and vice-versa is also portrayed in MS and MO cases. Some validation with previously existing literature is also provided.