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http://dx.doi.org/10.12989/sem.2016.58.1.181

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

Abo-Dahab, S.M. (Mathematics Department, Faculty of Science, Taif University)
Abd-Alla, A.M. (Mathematics Department, Faculty of Science, Taif University)
Khan, Aftab (Department of Mathematics, COMSATS, Institute of Information)
Publication Information
Structural Engineering and Mechanics / v.58, no.1, 2016 , pp. 181-197 More about this Journal
Abstract
In this paper, we investigated the propagation of surface waves in a nonhomogeneous rotating fibre-reinforced viscoelastic anisotropic media of higher order of nth order including time rate of strain. The general surface wave speed is derived to study the effect of rotation on surface waves. Particular cases for Stoneley, Love and Rayleigh waves 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. Also results for homogeneous media can be deduced from this investigation. For order zero our results are well agreed to fibre-reinforced materials. Also by neglecting the reinforced elastic parameters, the results reduce to well known isotropic medium. It is also observed that, surface waves cannot propagate in a fast rotating medium. Comparison was made with the results obtained in the presence and absence of rotation and parameters for fibre-reinforced of the material medium Numerical results are given and illustrated graphically. The results indicate that the effect of rotation and parameters for fibre-reinforced of the material are very pronounced.
Keywords
fibre-reinforced; viscoelastic; surface waves; rotation; anisotropic; nonhomogeneous;
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Times Cited By KSCI : 8  (Citation Analysis)
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1 Abd-Alla, A.M. and Mahmoud, S.R. (2010), "Magneto-thermoelastic problem in rotatin non-homogeneous orthotropic hollow cylinder under the hyperbolic heat conduction model", Meccanica, 45, 451-462.   DOI
2 Abd-Alla, A.M. and Mahmoud, S.R. (2012), "Analytical solution of wave propagation in a non-homogeneous orthotropic rotating elastic media", J. Mech. Sci. Tech., 26, 917-926.   DOI
3 Abd-Alla, A.M., Abo-Dahab, S.M. and Al-Thamali, T.A. (2012), "Propagation of Rayleigh waves in a rotating orthotropic material elastic half-space under initial stress and gravity", J. Mech. Sci. Tech., 26, 2815-2823.   DOI
4 Abd-Alla, A.M. and Ahmed, S.M. (1996), "Rayleigh waves in an orthotropic thermoelastic medium under gravity field and initial stress", Earth Moon Planet., 75, 185-19.   DOI
5 Abd-Alla, A.M., Abo-Dahab, S.M. and Bayones, F.S. (2013), "Propagation of Rayleigh waves in magneto-thermo-elastic half-space of a homogeneous orthotropic material under the effect of rotation, initial stress and gravity field", J. Vib. Control, 19(9), 1395-1420.   DOI
6 Abd-Alla, A.M., Hammad, H.A.H. and Abo-Dahab, S.M. (2004), "Rayleigh waves in a magnetoelastic half-space of orthotropic material under influence of initial stress and gravity field", Appl. Math. Comput., 154, 583-597.
7 Abd-Alla, A.M., Nofal, T.A., Abo-Dahab, S.M. and Al-Mullise. A. (2013), "Surface waves propagation in fibre-reinforced anisotropic elastic media subjected to gravity field", Int. J. Phys. Sci., 8(14), 574-584.   DOI
8 Abd-Alla, A.M., Abo-Dahab, S.M. and Bayones, F.S. (2015), "Wave propagation in fibre-reinforced anisotropic thermoelastic medium subjected to gravity field", Struct. Eng. Mech., 53, 277-296.   DOI
9 Abd-Alla, A.M., Abo-Dahab, S.M. and Hammad, H.A.H. (2011), "Propagation of Rayleigh waves in generalized magneto-thermoelastic orthotropic material under initial stress and gravity field", Appl. Math. Model., 35, 2981-3000.   DOI
10 Abd-Alla, A.M., Khan, A. and Abo-Dahab, S.M. (2015), "Rotational effect on Rayleigh, Love and Stoneley waves in fibre-reinforced anisotropic general viscoelastic media of higher and fraction orders with voids", J. Mech. Sci. Tech., 29, 1-9.
11 Abo-Dahab, S.M., Abd-Alla, A.M. and Khan, A. (2015), "Magnetism and rotation effect on surface waves in fibre-reinforced anisotropic general viscoelastic media of higher order", J. Mech. Sci. Tech., 29, 1-14.
12 Abo-Dahab, S.M., Abd-Alla, A.M. and Mahmoud, S.R. (2013), "Effects of voids and rotation on plane waves in generalized thermoelasticity", J. Mech. Sci. Tech., 27, 3607-3614.   DOI
13 Acharya, D.P. and Roy, I. (2009), "Magneto-elastic surface waves in electrically conducting fibre-reinforced media", Bull. Inst. Math. Academia Sinica (New Series), 4(3), 333-352.
14 Acharya, D.P. and Roy. I. (2009), "Magneto-elastic Surface waves in electrically conducting fibre-reinforced anisotropic elastic media", Bull. Academia Sinica, 4, 333-352.
15 Acharya, D.P. and Sengupta, P.R. (1978), "Magneto-thermo-elastic surface waves in initially stressed conducting media", Acta Geophys., A26, 299-311.
16 Ait Yahia, S., Ait Atmane, H., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., 53(6), 1143-1165.   DOI
17 Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Anwar Beg, O. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Compos. Part B, 60, 274-283.   DOI
18 Bourada, M., Kaci, A., Houari, M.S.A. and Tounsi, A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., 18(2), 409-423.   DOI
19 Belfield, A.J., Rogers, T.G. and Spencer, A.J.M. (1983), "Stress in elastic plates reinforced by fibre lying in concentric circles", J. Mech. Phys. Solid., 31, 25-54.   DOI
20 Bennoun, M., Houari, M.S.A. and Tounsi, A. (2016), "A novel five variable refined plate theory for vibration analysis of functionally graded sandwich plates", Mech. Adv. Mater. Struct., 23(4), 423-431.   DOI
21 Bullen, K. E. (1965), An Introduction to the Theory of Seismology, Cambridge University Press, London.
22 Chattopadhyay, A., Venkateswarlu, R.L.K. and Saha, S. (2002), "Reflection of quasi-P and quasi-SV waves at the free and rigid boundaries of a fibre-reinforced medium", Sadhana, 27, 613-630.   DOI
23 Ewing, W.M. and Jardetzky, W.S. (1957), Elastic Waves in Layered Media, McGraw Hill Press, New York, Toronto, London.
24 Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Adda Bedia, E.A. (2014), "A new quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", J. Eng. Mech., ASCE, 140, 374-383.   DOI
25 Kakar, R., Kakar, S. and Kaur, K. (2013), "Rayleigh, Love and Stoneley waves in fibre-reinforced, anisotropic, viscoelastic media of higher order under gravity", Int. J. Phys. Math. Sci., 4(1), 53-61.
26 Mahi, A., Adda Bedia, E.A. and Tounsi, A. (2015), "A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates", Appl. Math. Model., 39, 2489-2508.   DOI
27 Schoenberg, M. and Censor, D. (1973), "Elastic waves in rotating media", Quart. Appl. Math., 31, 115-125.   DOI
28 Pal, K.C. and Sengupta, P.R. (1987), "Surface waves in visco-elastic media of general type in the presence of thermal field and gravity", Proc. Indian Natl. Sci. Acad., A53, 353-372.
29 Rayleigh, L. (1885), "On wave propagation along the plane surface of an elastic solid", Proc. London. Math. Soc., 17, 4-11.
30 Sapan, K. and Chattaraj, S.R. (2011), "Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half space and uniform liquid layer", Acta Geophysica, 59(3), 470-482.   DOI
31 Sengupta, P.R. and Nath, S. (2001), "Surface waves in fibre-reinforced anisotropic elastic media", Sadhana, 26, 363-370.   DOI
32 Singh, B. (2006), "Wave propagation in thermally conducting linear fibre-reinforced composite materials", Arch. Appl. Mech., 75b, 513-520.
33 Singh, B. and Singh, S.J. (2004), "Reflection of plane waves at the free surface of a fibre-reinforced elastic half space", Sadhana, 29, 249-257.   DOI
34 Stoneley, R. (1924), "The elastic waves at the surface of separation of two solids", Proc. R. Soc. London, A106, 416-420.