Rayleigh waves in an incompressible fibre-reinforced elastic solid with impedance boundary conditions

Abstract

In the present paper, the equation of motion for an incompressible transversely isotropic fibre-reinforced elastic solid is derived in terms of a scalar function. The general solution of the equation of motion is obtained, which satisfies the required radiation condition. The appropriate impedance boundary conditions are also satisfied by the solution to obtain the required explicit secular equation for the Rayleigh wave speed. The numerical values of non-dimensional speed of a Rayleigh wave are obtained with the application of Iteration method. The dependence of the non-dimensional wave speed on non-dimensional material parameter and impedance parameters is shown graphically.

Keywords

• fibre-reinforced
• impedance boundary conditions
• incompressibility
• rayleigh wave
• transverse isotropy