Rayleigh waves in a viscoelastic half-space under initial hydrostatic stress in presence of the temperature field

Sushil Kumar Addy,Nil Ratan Chakraborty

doi:10.1155/ijmms.2005.3883

Abstract

The effect of the temperature and initial hydrostatic stress has been shown on the propagation of Rayleigh waves in a viscoelastic half-space. It has been explained how the velocity of Rayleigh waves depends not only on the parameters pertaining to the viscoelastic properties of the half-space, but on the temperature and the initial hydrostatic stress of the half-space also. The variations of the phase velocity of Rayleigh waves in dimensionless form with respect to the magnitude of the initial hydrostatic stress under certain practical assumptions have been depicted in graphs after numerical computations. If the temperature and the initial hydrostatic stress of the half-space are neglected, the results obtained are in perfect agreement with the classical case as obtained by Caloi for the propagation of Rayleigh waves in a viscoelastic medium.

Highlights

The propagation of thermoelastic waves has been discussed long ago by Lockett [5] and Nowacki and Sokołowski [7] in different media
It should be of geophysical interest to see how the initial stress influences the propagation of waves in elastic or a viscoelastic medium when the medium is heated
This paper has discussed the effect of the temperature as well as the initial hydrostatic stress on the propagation of Rayleigh waves in a viscoelastic half-space

Summary

SUSHIL KUMAR ADDY AND NIL RATAN CHAKRABORTY

The effect of the temperature and initial hydrostatic stress has been shown on the propagation of Rayleigh waves in a viscoelastic half-space. It has been explained how the velocity of Rayleigh waves depends on the parameters pertaining to the viscoelastic properties of the half-space, but on the temperature and the initial hydrostatic stress of the half-space . The variations of the phase velocity of Rayleigh waves in dimensionless form with respect to the magnitude of the initial hydrostatic stress under certain practical assumptions have been depicted in graphs after numerical computations. If the temperature and the initial hydrostatic stress of the half-space are neglected, the results obtained are in perfect agreement with the classical case as obtained by Caloi for the propagation of Rayleigh waves in a viscoelastic medium

Introduction

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