Propagation of Love waves in a prestressed Voigt-type viscoelastic orthotropic functionally graded layer over a porous half-space

Abstract

The present paper investigates the theory of propagation of Voigt-type viscoelastic Love waves in a functionally graded material layer over an anisotropic porous half-space. The complex dispersion equation of Love waves has been expanded into real and imaginary parts. An assumption of the dissipation factor has been applied. Some particular cases have also been deduced, and it is noticed that the dispersion equation is in well agreement with the classical Love wave equation. In addition, to study the effect of initially stressed parameter, inhomogeneity parameter and porosity on phase velocity and dissipation function, some significant observations have been made by detailed numerical calculations and illustrated graphically. The results of this paper may present a deeper insight into the nature of the propagation behavior in elastic inhomogeneous functionally graded materials and can provide theoretical guidance for the design and optimization to the field of earthquake engineering.