Propagation of S-wave in a non-homogeneous anisotropic incompressible and initially stressed medium under influence of gravity field

被引：42

作者：

Abd-Alla, A. M. ^{[2
]}

Mahmoud, S. R. ^{[1
,2
]}

Abo-Dahab, S. M. ^{[3
]}

Helmy, M. I.

机构：

[1] King Abdulaziz Univ, Fac Educ, Dept Math, Jeddah, Saudi Arabia

[2] Univ Sohag, Fac Sci, Dept Math, Sohag, Egypt

[3] SVU, Fac Sci, Dept Math, Qena 83523, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 09期

关键词：

Incompressible; Initial stress; Anisotropic; S-wave; Gravity field; RAYLEIGH-WAVES;

D O I：

10.1016/j.amc.2010.10.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, propagation of shear waves in a non-homogeneous anisotropic incompressible, gravity field and initially stressed medium is studied. Analytical analysis reveals that the velocity of propagation of the shear waves depends upon the direction of propagation, the anisotropy, gravity field, non-homogeneity of the medium, and the initial stress. The frequency equation that determines the velocity of the shear wave has been obtained. The dispersion equations have been obtained and investigated for different cases. A comparison is made with the results predicted by Abd-Alla et al. [22] in the absence of initial stress and gravity field. The results obtained are discussed and presented graphically. Published by Elsevier Inc.

引用

页码：4321 / 4332

页数：12

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