Structural Engineering and Mechanics

Volume 61, Number 2, 2017, pages 221-230

DOI: 10.12989/sem.2017.61.2.221

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

A.M. Abd-Alla, S.M. Abo-Dahab and Aftab Khan

Abstract

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.

Key Words

fibre-reinforced; viscoelastic; surface waves; rotation; anisotropic; thermoelastic

Address

A.M. Abd-Alla: Mathematics Department, Faculty of Science, Sohag University, Egypt S.M. Abo-Dahab: Mathematics Department, Faculty of Science, SVU, Qena 83523, Egypt; Mathematics Department, Faculty of Science, Taif University 888, Saudi Arabia Aftab Khan: Department of Mathematics, COMSATS, Institute of Information, Park Road, Chakshahzad, Islamabad, Pakistan