International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Surface waves propagation in fibre-reinforced anisotropic elastic media subjected to gravity field

A. M. Abd-Alla1*, T. A. Nofal1, S. M. Abo-Dahab1,2 and A. Al-Mullise1
1Mathematics Department, Faculty of Science, Taif University, Saudi Arabia. 2Mathematics Department, Faculty of Science, Qena, Egypt, Qena 83523, Egypt.
Email: [email protected]

  •  Accepted: 28 March 2013
  •  Published: 16 April 2013

Abstract

The objective of this paper is to investigate the surface waves in fibre-reinforced anisotropic elastic medium subjected to gravity field. The theory of generalized surface waves has firstly developed and then it has been employed to investigate particular cases of waves, viz., Stoneley waves, Rayleigh waves and Love waves. The analytical expressions for waves velocity and attenuation coefficient are obtained in the physical domain by using the harmonic vibrations. The wave velocity equations have been obtained in different cases. The numerical results are given and presented graphically. Comparison was made with the results obtained in the presence and absence of gravity and parameters for fibre-reinforced of the material medium. The results indicate that the effect of gravity and parameters of fibre-reinforced of the material medium are very pronounced.

 

Key words: Fibre-reinforced media, surface waves, Stoneley waves, Rayleigh waves, Love waves, gravity.