In this paper the dispersion relation of surface wave for a fluid layer overlying a slightly compressible, finitely deformed half-space is discussed. It has been observed that as the wave number tends to zero the dispersion relation transformed to the speed equation of surface waves. For graphical representation we have considered Neo-Hookean form of strain energy function. Phase speed curves have been plotted and different discussions have been made.
AchenbachJDKeshavaMSPHermannG (1967) Moving Loads on a Plate Resting on an Elastic Half-Space. Journal of Applied Mechanics34: 910–914.
2.
ChattopadhyayARogersonGA (2001) Wave reflection in slightly compressible, finitely deformed elastic media. Archive of Applied Mechanics71: 307–316.
3.
ChattopadhyayAGuptaSSahuSA (2013) Dispersion of horizontally polarized shear waves in an irregular non-homogeneous self-reinforced crustal layer over a semi-infinite self-reinforced medium. Journal of Vibration and Control19: 109–119.
4.
ColeJHuthJ (1958) Stresses produced ill a half-plane by moving loads. Journal of Applied Mechanics25: 433–436.
5.
CraggsJW (1960) On two dimensional waves in an elastic half-space. Proceedings of the Cambridge Philosophical Society56: 269–269.
6.
DhuaSSinghAKChattopadhyayA (2013) Propagation of torsional wave in a composite layer overlying an anisotropic heterogeneous half-space with initial stress. Journal of Vibration and Control. Epub ahead of print 19 September 2013. DOI: 10.1177/1077546313505124.
7.
DowaikhMAOgdenRW (1990) On surface waves and deformations in a pre-stressed incompressible elastic solid. IMA Journal of Applied Mathematics44: 261–284.
8.
EwingMJardetzkyWSPressF (1957) Elastic Waves in Layered Media, New York: McGraw Hill.
9.
MilesIW (1966) Response of a layered half-space to a moving load. Journal of Applied Mechanics33: 680–681.
10.
OgdenRW (1984) Non-linear elastic deformations, New York: Ellis Horwood.
11.
OgdenRWSotiropoulosDA (1995) On interfacial waves in pre-stressed layered incompressible elastic solids. Proceedings of the Royal Society A450: 319–341.
12.
RogersonGAFuYB (1995) An asymptotic analysis of the dispersion relation of a pre-stressed incompressible elastic plate. Acta Mechanica111: 59–77.
13.
RogersonGASandifordKJ (1996) On small amplitude vibrations of pre-stressed laminates. International Journal Engineering Science34: 853–872.
14.
RogersonGASandifordKJ (2000) The effect of finite primary deformations on harmonic waves in layered elastic media. International Journal of Solid and Structures37: 2059–2087.
15.
RogersonGA (1998) Surface waves in slightly compressible, finitely deformed elastic media. Mechanics Research Communications25: 493–502.
16.
SackmanJL (1961) Uniformly moving load on a layered half plane. Journal of Engineering Mechanics Div. Proceeding. 87: 75–89.
17.
ScottNH (1986) The slowness surface of incompressible and nearly incompressible elastic materials. Journal of Elasticity16: 239–250.
18.
Sheridan PM, Jemes FO and Miller TS (1992) Design of components. In: Gent AN (ed.) Engineering with Rubber. Munich: Hanser, pp.209–235.
19.
SinghSS (2011) Love wave at a layer medium bounded by irregular boundary surfaces. Journal of Vibration and Control17: 789–795.
20.
SneddonIN (1952) The stress produced by a pulse of pressure moving along the surface of a semi-infinite solid. Proceedings of the Mathematical Circle of Palermo2: 57–62.
21.
TengHDChenQ (2011) A type of solid and liquid mixture isolator. Journal of Vibration and Control17: 421–429.
