Rayleigh waves in magneto-thermo-viscoelastic solid with thermal relaxation times

被引:9
作者
Abd-alla, AENN [1 ]
Abo-dahab, SM [1 ]
机构
[1] S Valley Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
关键词
D O I
10.1016/S0096-3003(03)00191-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The propagation of magneto-thermo-viscoelastic Rayleigh waves in a semi-infinite body permeated by a uniform magnetic field is investigated. It is assumed that the elastic medium under consideration is homogeneous, isotropic, electrically and thermally conducting one. The roots of the phase velocity equation (for different values of Poisson's ratio), the displacements and the stresses at various points of the depth of the medium are found out numerically and presented graphically for an appropriate material. The material of the medium is taken to be Kelvin-Voigt solid and the generalized theory of thermo-elasticity proposed by Green-Lindsay are applied. The effects of the viscosity, the thermal relaxation times and the magnetic field are illustrated and displayed graphically. Relevant results of previous investigations are deduced as special cases. (C) 2003 Published by Elsevier Inc.
引用
收藏
页码:861 / 877
页数:17
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