Propagation of Magnetoelastic Shear Wave in an Initially Stressed Inhomogeneous Composite-Layered Structure with an Imperfect Interface

Abstract

In this work, an analysis of the propagation of horizontally polarized magnetoelastic shear waves at a loosely bonded interface between two fiber-reinforced (FRC) media is performed. The assumption is that the upper layer is a heterogeneous FRC medium with initial stress, while the lower layer is an FRC half-space subject to gravity. A closed-form expression of the dispersion equation has been derived using Whittaker’s function and its asymptotic expansion for both exponential and linear types of heterogeneous cases. The obtained dispersion equation matches well with previously existing results and the classical Love wave equation. In both cases, it was found that the magnetoelastic coupling parameters, horizontal compressive initial stresses, loosely bound, and Biot’s gravity parameter of the layered structure all have a favoring effect on the phase velocity. It was also observed that in the linear heterogeneous case, the magnetoelastic coupling parameter has a detrimental influence on the speed of shear wave propagation, while in the exponential heterogeneous situation, it has a beneficial impact. The findings of this study can be used to improve analysis in the fields of geotechnical engineering and civil engineering. This study examines the characteristic behavior of horizontally polarized magnetoelastic shear wave propagation in an inhomogeneous fiber reinforced layer overlaying a fiber-reinforced half-space in the presence of initial stress and gravity. Reinforced materials are now one of the fundamental necessities of building projects of any significant magnitude. In addition, it is crucial to consider the impact of loose bonding at the common interface between the layer and the half-space while building the sensors to improve their efficacy and ultimately achieve high performance. This work is relevant to geotechnical and civil engineering applications and is innovative. Examining the effect of various nondimensional parameters’ responses to wave motion is of great interest to researchers due to the immense practical and economic potential of composite structures made from such materials. The present article may have numerous applications in the disciplines of space exploration, aviation, construction, geophysics, geomechanics, and so on.