Effect of Non-Homogenity, Magnetic Field and Gravity Field on Rayleigh Waves in an Initially Stressed Elastic Half-Space of Orthotropic Material Subject to Rotation

被引：12

作者：

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

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[2] Sohag Univ, Dept Math, Fac Sci, Sohag 82524, Egypt

来源：

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE | 2014年 / 11卷 / 07期

关键词：

Non-Homogeneous; Surface Wave; Magnetic Field; Initial-Stress; Rotation; Gravity Field; GRANULAR MEDIUM; PROPAGATION; CYLINDER; VIBRATIONS;

D O I：

10.1166/jctn.2014.3542

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this work, propagation of Rayleigh waves in an initially stressed non-homogeneous orthotropic medium under effect of magnetic field, gravity field and rotation is studied. The government equations is solved by Lame's potential. The frequency equation which determines the velocity of Rayleigh waves, including non-homogenity, rotation, initial stress, gravity field, and magnetic field has been investigated. and studied. Results from previous work are deduced. Numerical results of the frequency equation are presented graphically.

引用

页码：1627 / 1634

页数：8

共 46 条

[41] PROPAGATION OF RAYLEIGH-WAVES IN AN INITIALLY STRESSED INCOMPRESSIBLE HALF-SPACE UNDER A RIGID LAYER - A MATHEMATICAL-MODEL SHOWING THE EXISTENCE OF NON-SEISMIC ZONE AND EXPLANATION OF 2 RAYLEIGH-WAVE FRONTS
DEY, S
ROY, N
GHOSH, S
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1987, 18 (06): : 567 - 576
[42] Effect of magnetic field and three-phase-lag in a rotating micropolar thermo-viscoelastic half-space homogeneous isotropic material
Abo-Dahab, S. M.
Abd-Alla, A. M.
Ahmed, S. M.
Rashid, M. M.
WAVES IN RANDOM AND COMPLEX MEDIA, 2021, 31 (03) : 435 - 458
[43] Rotational and voids effect on the reflection of P waves from stress-free surface of an elastic half-space under magnetic field and initial stress without energy dissipation
Abo-Dahab, S. M.
Singh, Baljeet
APPLIED MATHEMATICAL MODELLING, 2013, 37 (20-21) : 8999 - 9011
[44] Effect of Magnetic Field on Reflection of Thermo-elastic Waves from the Boundary of a Half-Space Using G–N Model of Type-II for Different Nature of the Boundary Surface
Singh M.C.
Chakraborty N.
International Journal of Applied and Computational Mathematics, 2016, 2 (4) : 625 - 640
[45] Rotation and magnetic field effects on P wave reflection from a stress-free surface of elastic half-space with voids under one thermal relaxation time
Abo-Dahab, S. M.
Mohamed, R. A.
Singh, Baljeet
JOURNAL OF VIBRATION AND CONTROL, 2011, 17 (12) : 1827 - 1839
[46] Propagation of P waves from stress-free surface elastic half-space with voids under thermal relaxation and magnetic field (vol 34, pg 1798, 2010)
Abo-Dahab, S. M.
APPLIED MATHEMATICAL MODELLING, 2011, 35 (12) : 5920 - 5920

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