Analytical study on transverse behaviour of Love-type waves in a corrugated cylindrical composite structure: A perturbation theory

Abstract

The current study focuses on the analysis of propagation characteristics of Love-type waves in a corrugated composite cylindrical structure, with corrugation at the lateral surface. The corrugated cylindrical structure is comprised of two regions of functional gradient fiber-reinforced material media with distinct radii. The amplitude of corrugation at the outermost lateral surface is assumed to be small. The functional gradients in outer and inner cylindrical layers are generated because of radial variation of the elastic parameters and density. An analytical treatment featuring a perturbation method and Debye Asymptotic Expansion is employed to attain the dispersion relation. The obtained dispersion relation is validated with some established standard and classical results through particular cases. The substantial effects of reinforcement, functional gradients, and corrugation parameters on both phase and group velocities of the Love-type wave have been analyzed extensively with the aid of graphical illustrations, accomplished by numerical computations.