Vol.26, Special Issue B, 2026, pp. S13–S18
https://doi.org/10.69644/ivk-2026-siB-0013 

This study helps us to find the propagation behaviour of horizontally polarised shear waves (SH) within a fibre-reinforced viscoelastic composite medium subjected to initial stress. A comprehensive analytical framework is developed by emphasising a structural configuration in which the elastic moduli exhibit as a power law model with the depth parameter. A closed-form dispersion relation is rigorously derived, capturing the combined effects of viscoelasticity, fibre-reinforcement, and pre-stress. A rigorous numerical analysis is made to survey the behaviour of phase velocity (SH wave propagation). A numerical investigation is conducted to examine the behaviours of phase wave velocities, which are subsequently anticipated through graphical representations. The results not only show the significance of inhomogeneity parameters but also clarify the deviation from classical wave behaviour. The study may be helpful for the design and analysis of advanced engineering structures, seismic wave interpretation, and materials used in aerospace and geotechnical applications.

Keywords: • SH-waves • fibre reinforcement • initial stress • half-space • phase velocity • dispersion equation