Dispersion analysis of Rayleigh waves in a corrugated fiber-reinforced layer over monoclinic substrate with a sliding interface

Abstract

This study focuses on the propagation of Rayleigh-type waves in a fiber-reinforced layer resting on a monoclinic half-space. A sliding contact is assumed at the interface between the layer and the underlying half-space, while the upper boundary is modeled as corrugated and rigid. A closed-form relationship between phase velocity and wave number has been derived in the form of a determinant. Several special cases have been considered for detailed analysis. This study mainly focuses on investigating the influence of various physical parameters on phase dispersion phenomena with respect to wave number and the effect of sliding contact in Rayleigh wave propagation. Numerical computations have been performed to study the dependence of phase velocity on wave number, and the results have been presented graphically using the Mathematica software. The study presents simulated results examining the combined influence of various physical parameters, including thickness, phase velocity, corrugation amplitude and wavelength, and the distribution of a sliding contact at the Rayleigh wave interface within the structure. The formulation is relevant to geological formations involving anisotropic basement rocks with irregular interfaces, as well as layered composite systems where surface corrugation and interfacial slip affect Rayleigh-type wave propagation. These insights are valuable for interpreting seismic responses in complex geological formations and for advancing applications in non-destructive evaluation, wave-based sensing, and vibration mitigation technologies.

Keywords

Rayleigh wave fiber-reinforced monoclinic layer corrugation sliding parameter phase velocity dispersion relation

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