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.

Highlights

  • The dynamical problem of propagation of surface waves in a homogeneous and non-homogeneous elastic and thermoplastic media are of considerable importance in earthquake, engineering and seismology on account of the occurrence of non-homogeneities in the earth's crust, as the earth is made up of different layers. Abd-Alla et al (2011) investigated propagation of Rayleigh waves in generalized magneto-thermoelastic orthotropic material under initial stress and gravity field

  • The objective of this paper is to investigate the surface waves in fibre-reinforced anisotropic elastic medium subjected to gravity field

  • The present investigation is to study the propagation of surface waves in fibre-reinforced anisotropic elastic medium subjected to gravity field leading to particular cases such as Rayleigh waves, Love waves and Stoneley waves

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Summary

Full Length Research Paper

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 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

INTRODUCTION
The group velocity variation of Lamb wave in fiber
FORMULATION OF THE PROBLEM
And the set differential equations for medium as follow
BOUNDARY CONDITIONS
For medium
Stoneley wave velocity
Conclusion
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