On propagation behavior of SH-wave and Rayleigh-type wave in an initially stressed exponentially graded fiber-reinforced viscoelastic layered structure

Abstract

The present article undertakes the study of propagation of SH-wave and Rayleigh-type wave in a layered structure with a layer overlying a semi-infinite medium composed of distinct initially stressed exponentially graded fiber-reinforced viscoelastic materials in two separate cases. Adopting analytical treatment closed form of complex frequency equation is obtained for both the surface waves. The real part of complex frequency equation imparts dispersion equation whereas imaginary part accounts for the damped velocity equation. Dispersion and damped velocity equations for both the surface waves are in well-agreement with the classical results. Also as a special case of the problem, the deduced results are validated with the pre-established results. Numerical computation of the analytical finding has been accomplished and manifested through dispersion curves and damped velocity curves for both SH-wave and Rayleigh-type wave in order to analyze the influence of various affecting parameters, viz., initial stress, reinforcement, exponential gradient, volume and shear viscosity on their phase and damped velocities. Moreover, comparative study has also been carried out for various distinct cases associated with the considered layered structure for both the waves, which serves as a salient feature of the present study.