Rotational effect on thermoelastic Stoneley, Love and Rayleigh waves in fibre-reinforced anisotropic general viscoelastic media of higher order

被引：28
作者：
Abd-Alla, A. M. [1 ]
Abo-Dahab, S. M. [2 ,3 ]
Khan, Aftab [4 ]
机构：
[1] Sohag Univ, Fac Sci, Dept Math, Sohag, Egypt
[2] SVU, Fac Sci, Dept Math, Qena 83523, Egypt
[3] Taif Univ, Fac Sci, Dept Math, At Taif 888, Saudi Arabia
[4] COMSATS, Inst Informat, Dept Math, Pk Rd, Islamabad, Pakistan
来源：
STRUCTURAL ENGINEERING AND MECHANICS | 2017年 / 61卷 / 02期
关键词：
fibre-reinforced; viscoelastic; surface waves; rotation; anisotropic; thermoelastic; MAGNETOTHERMOELASTIC MEDIUM; ENERGY-DISSIPATION; ELASTIC-WAVES; SURFACE-WAVES; PLANE-WAVES; PROPAGATION; REFLECTION; STRESS; BODIES;
D O I：
10.12989/sem.2017.61.2.221
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
In this paper, we investigated the propagation of thermoelastic surface waves in fibre-reinforced anisotropic general viscoelastic media of higher order of nth order including time rate of strain under the influence of rotation. The general surface wave speed is derived to study the effectsof rotation andthermal onsurface waves. Particular cases for Stoneley, Love and Rayleighwaves are discussed. The results obtained in this investigation are more general in the sense that some earlier published results are obtained from our result as special cases. Our results for viscoelastic of order zero are well agreed to fibre-reinforced materials. Comparison was made with the results obtained in the presence and absence of rotation and parameters for fibre-reinforced of the material medium. It is also observed that, surface waves cannot propagate in a fast rotating medium.Numerical results for particular materials are given and illustrated graphically. The results indicate that the effect of rotation on fibre-reinforced anisotropic general viscoelastic media are very pronounced.
引用
收藏
页码：221 / 230
页数：10
相关论文
共 31 条
[1]   Wave propagation in fibre-reinforced anisotropic thermoelastic medium subjected to gravity field [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
Bayones, F. S. .
STRUCTURAL ENGINEERING AND MECHANICS, 2015, 53 (02) :277-296
[2]   Effects of Rotation and Gravity Field on Surface Waves in Fibre-Reinforced Thermoelastic Media under Four Theories [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
Al-Mullise, A. .
JOURNAL OF APPLIED MATHEMATICS, 2013,
[3]   On problem of transient coupled thermoelasticity of an annular fin [J].
Abd-Alla, A. M. ;
Mahmoud, S. R. ;
Abo-Dahab, S. M. .
MECCANICA, 2012, 47 (05) :1295-1306
[4]   Propagation of Rayleigh waves in generalized magneto-thermoelastic orthotropic material under initial stress and gravity field [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
Hammad, H. A. H. .
APPLIED MATHEMATICAL MODELLING, 2011, 35 (06) :2981-3000
[5]   Magneto-thermoelastic problem in rotating non-homogeneous orthotropic hollow cylinder under the hyperbolic heat conduction model [J].
Abd-Alla, A. M. ;
Mahmoud, S. R. .
MECCANICA, 2010, 45 (04) :451-462
[6]   Rotational effect on Rayleigh, Love and Stoneley waves in non-homogeneous fibre-reinforced anisotropic general viscoelastic media of higher order [J].
Abo-Dahab, S. M. ;
Abd-Alla, A. M. ;
Khan, Aftab .
STRUCTURAL ENGINEERING AND MECHANICS, 2016, 58 (01) :181-197
[7]  
Acharya DP, 2009, BULL INST MATH ACAD, V4, P333
[8]  
Acharya D. P., 1978, Acta Geophysica Polonica, V26, P299
[9]   PLANE-WAVES IN GENERALIZED THERMOELASTICITY [J].
AGARWAL, VK .
ACTA MECHANICA, 1979, 31 (3-4) :185-198
[10]   Thermo-mechanical post-buckling behavior of thick functionally graded plates resting on elastic foundations [J].
Bakora, Ahmed ;
Tounsi, Abdelouahed .
STRUCTURAL ENGINEERING AND MECHANICS, 2015, 56 (01) :85-106
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