Viscoelastic Rayleigh waves

Abstract

Abstract.A general analysis is given of the propagation of surface waves over a half-space of homogeneous isotropic linearly-viscoelastic material. Particular emphasis is placed on the properties of the particle paths. The detailed examination of particular models shows that (in contrast with elastic materials) (i) more than one surface wave may be possible; (ii) the waves may be either direct or retrograde at the surface; (iii) the motion may change sense at many or no levels below the surface; (iv) the wave speed may be greater than the body-wave speeds.

A numerical study of traveling waves in a viscoelastic cylinder cover under rolling contact

“…No further changes take place. Note that similar behavior is characteristic to quasi-elastic Rayleigh waves over a half-space of viscoelastic material for which the major axes of the elliptic particle paths are vertical and the motion is retrograde on the surface and changes sense once below the surface [33]. Therefore, we further classify the traveling wave of Fig.…”

Viscoelastic Rayleigh waves II

“…We note here that, in addition to the works cited in [1], Borcherdt [4] has also studied surface waves on viscoelastic materials. Some of the results reported in f I ] on the elliptical particle paths were anticipated by Borcherdt, but his discussion is less detailed.…”

“…Our purpose in this paper is to continue the discussion of property (i). In the earlier paper [1], it was shown by means of specific examples that more than one surface wave may be possible for certain values of the complex Lame moduli X, n. Here in Sees. 3 and 4 we investigate systematically the number of surface waves that are possible for given values of X and ju.…”

“…In an earlier paper [1] a general analysis was given of the propagation of surface waves over a half-space of homogeneous, isotropic, linearly-viscoelastic material. It was found in particular that (in contrast with elastic materials):…”

“…For the elastic case, Hayes and Rivlin [2] have shown that there is only one admissible root. However, for the viscoelastic case, it was shown in [1] that for particular values of the moduli X, n there may be either one or two roots.…”