Analysis of Love-Type Waves in Functionally Graded Composite Structure with Interfacial Imperfections

Abstract

Love-type wave propagation in a functionally graded material bonded by a layer of functionally graded fiber-reinforced material and an elastic half-space is investigated in this paper. The mechanical imperfections at the common interface between the layers and half-space have been considered. Solutions to mechanical displacements are obtained by solving the coupled field equations of the layers and elastic half-space with the help of the separation of variables technique. Appropriate boundary conditions have been applied to establish the dispersion equations for Love-type wave propagation in imperfect and perfect interfaces. Dispersion curves have been plotted to illustrate the significant effects of parameters such as gradient coefficients, reinforcement, interfacial imperfection, and thickness ratio on the phase velocity of Love-type wave propagation. This paper presents graphical demonstrations of the effects of each parameter under imperfect and perfect cases, and provides a detailed theoretical discussion of these parameters. This study can provide theoretical guidance for designing and optimizing functionally graded materials-based devices. This study examines functionally graded materials in engineering, exploring their classification, mathematical formulations, application in solving specific problems, analytical methodologies, and obstacles impeding their widespread use. This study is innovative and relevant to aerospace, civil engineering, and construction applications. In aerospace engineering, these materials can be used for structural components like panels, wings, and fuselage parts due to their lightweight nature and high strength-to-weight ratio. It can be used for reinforced concrete structures in civil engineering and building construction, offering enhanced strength and durability. Therefore, examining the propagation of Love-type waves in these structures is crucial. Finally, we illustrate the effects of various parameters where grading the facings of a composite structure results in an impressive improvement in its stability and dispersive characteristics. Therefore, the results could lead to significant advances in analysis and exploration in aerospace, building construction, civil engineering, geophysics, and geomechanics.