Surface waves in higher order visco-elastic media under the influence of gravity. (1991)

• Record Type: Journal Article
• Authors: Mukherjee, Animesh; Sengupta, P. R.; Debnath, Lokenath
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 4:Number 1(1991)
• Page Start: 71
• Page End: 82
• Publication Date: 1991
• Subjects: surface waves in elastic media -- Rayleigh waves -- stonely waves -- effect of viscosity and gravity; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953391000047
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : Based upon Biot's [1965] theory of initial stresses of hydrostatic nature produced by the effect of gravity, a study is made of surface waves in higher order visco-elastic media under the influence of gravity. The equation for the wave velocity of Stonely waves in the presence of viscous and gravitational effects is obtained. This is followed by particular cases of surface waves including Rayleigh waves and Love waves in the presence of viscous and gravity effects. In all cases the wave-velocity equations are found to be in perfect agreement with the corresponding classical results when the effects of gravity and viscosity are neglected.