Effect of Initial Stress and Mechanical Impedance Boundary on Scholte’s Wave at Micropolar Solid–Liquid Interface

Abstract

In this paper, we study Scholte’s waves propagating along the interface of micropolar solid and liquid media, considering the effect of initial stress and impedance boundary surface. We obtained the phase velocities of basic elastic waves in both media and used them to derive the secular equation of Scholte’s wave. We found that the initial stress in the solid material does not affect the speed of basic longitudinal waves. After solving the secular equation, we obtained the speed of Scholte’s wave and the corresponding attenuation. We observed that Scholte’s surface wave obtained at the micropolar solid–liquid interface is inhomogeneous and dispersive. We investigated the effects of initial stress, Tiersten’s impedance boundary condition, and micropolar solid parameters on Scholte’s wave and basic shear waves. Numerically, these effects are computed for a particular model using the appropriate value of the parameters, and the results are illustrated graphically. This paper also contributes to not only understanding the behavior of Scholte’s waves in micropolar solid–liquid interfaces but also the factors that affect the propagation.