On problem of shear waves in magneto-elastic half-space of initially stressed non-homogeneous anisotropic material under influence of the rotation

被引:15
|
作者
Mahmoud, S. R. [1 ,2 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
[2] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
关键词
Incompressible; Rotation; Initial stress; Anisotropic; Shear wave; Magnetic field; RADIAL VIBRATIONS; HOLLOW SPHERE; PROPAGATION; CYLINDER; FIELD;
D O I
10.1016/j.ijmecsci.2013.10.004
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, propagation of shear waves in a non-homogeneous anisotropic incompressible and initially stressed medium under the influence of magnetic field and rotation has been studied. Analytical analysis reveals that the velocity of propagation of the shear waves depends on the direction of propagation, the anisotropy, magnetic field, rotation, non-homogeneity of the medium and the initial stress. The frequency equation that determines the velocity of the shear wave has been obtained. The dipersion equaions have been investigated for different cases. The equations are in agreement with the corresponding classical results when the medium is isotropic. The results have been discussed and presented graphically. (C) 2013 Elsevier Ltd. All rights reserved.
引用
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页码:269 / 276
页数:8
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