Nonlocal analysis of Rayleigh-type wave propagating in a gradient layered structure

The present article aims to study the propagation behavior of Rayleigh-type waves using the nonlocal theory of elasticity in a layered structure constituted of a gradient transversely isotropic stratum perfectly bonded with a gradient monoclinic substrate. At first a constitutive relation is established for the assumed layered structure. Thereafter in view of suitable boundary conditions dispersion relation for the propagation of Rayleigh-type wave is obtained by considering a complex quantity wavenumber. The obtained result well agrees with the classical result and therefore validates the present study. The phase velocities and the attenuation coefficient for the Rayleigh-type wave propagation are numerically computed for the materials CdSe and LiNbO3; and the same are illustrated graphically. A significant effect of the affecting parameters on the propagation and the attenuation curves are depicted against the wavenumber. Comparative analysis of the influence of these parameters on the propagation and attenuation of Rayleigh-type waves is marked distinctly which serves as a salient feature of the present study. The techniques utilised the present problem and the obtained results may find potential application in various aspects.

Automated summary

The present article investigates the propagation behavior of Rayleigh-type waves using the nonlocal theory of elasticity in a layered structure consisting of a gradient transversely isotropic stratum bonded with a gradient monoclinic substrate. A constitutive relation is established for the layered structure, and a dispersion relation for the propagation of Rayleigh-type waves is obtained by considering a complex wavenumber and suitable boundary conditions. The obtained result agrees well with the classical result and demonstrates the potential applications in various aspects.