On the viscous models for wave propagation in solid loaded with viscous liquid

Recently, in the fields of biosensing and nondestructive of materials, ther e are increasing interests on the investigations of the surface wave propag ation in fluid loaded layered medium. Several different models for the elas tic coefficients of viscous liquids are usually adopted in the investigatio ns. The purpose of this paper is to study the variations of choosing differ ent viscous liquid models on the dispersion and attenuation of waves in liq uid loaded solids. In the paper, a derivation of the elastic coefficients o f a viscous liquid based on the Stokes' assumption is given first. Then, fo r the hypothetical solid assumption of a viscous liquid, the associated wav e equations and expressions of the stress components for different viscous liquid models utilized in the literatures are given. Finally, dispersion an d attenuation of waves in a viscous liquid loaded Al half space and a SiC p late immersed in a viscous liquid are calculated and utilized to discuss th e differences among these four different models.