Surface waves in higher order viscoelastic media under the influence of gravity
type: Item
instance of: scholarly article
title: Surface waves in higher order viscoelastic media under the influence of gravity
zbMATH Open document ID: 0713.73026
DOI: 10.1155/S1048953391000047
author: Animesh Mukherjee
author: Lokenath Debnath
author: P. R. Sengupta
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46536
review text: Summary: Based upon \textit{M. A. Biot}'s theory of initial stresses of hydrostatic nature produced by the effect of gravity [Mechanics of incremental deformation (1965)], a study is made of surface waves in higher order viscoelastic 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.
Mathematics Subject Classification ID: 74J15
Mathematics Subject Classification ID: 74J20
zbMATH DE Number: 4174435
zbMATH Keywords: initial stresses of hydrostatic nature
zbMATH Keywords: higher order viscoelastic media
zbMATH Keywords: Stonely waves
zbMATH Keywords: Rayleigh waves
zbMATH Keywords: Love waves
zbMATH Keywords: wave-velocity equations
MaRDI profile type: Publication
Recommended article: Q4379762
Recommended article: Surface waves in general viscoelastic media of higher order
Recommended article: Q3111606
Recommended article: Effect of gravity on visco-elastic surface waves in solids involving time rate of strain and stress of higher order
Recommended article: Q3017954
Recommended article: Q4725842
Recommended article: Q5690536
Recommended article: Surface waves in thermo-viscoelastic media of higher order
Recommended article: Q4380089
Recommended article: Q3127458
description: scientific article; zbMATH DE number 4174435