Rayleigh waves in a thermoelastic granular medium under initial stress

S M Ahmed

doi:10.1155/s0161171200002155

Abstract

We study the effect of initial stress on the propagation of Rayleigh waves in a granular medium under incremental thermal stresses. We also obtain the frequency equation, in the form of a twelfth-order determinantal expression, which is in agreement with the corresponding classical results.

Highlights

The propagation of thermoelastic waves in a granular medium under initial stress has some applications in soil mechanics, earthquake science, geophysics, mining engineering, etc
When there is no coupling between the temperature and the strain field in the absence of the initial stress, the derived frequency equation reduces to an equation in the form of ninth-order determinant similar to that obtained by Bhattacharyya [2]
The real part gives the velocity of Rayleigh waves and the imaginary part gives the attenuation due to the granular nature of the medium

Summary

Introduction

The propagation of thermoelastic waves in a granular medium under initial stress has some applications in soil mechanics, earthquake science, geophysics, mining engineering, etc. The frequency equation of Rayleigh waves in a granular layer over a granular half-space was given by Bhattacharyya [2]. In [4], Elnaggar investigated the influence of initial stress of the waves propagation in a thermoelastic granular infinite cylinder.

Results

Conclusion