Influence of rotation and initial stress on Propagation of Rayleigh waves in fiber-reinforced solidanisotropic magneto-thermo-viscoelastic media.

Amal Abdullah Bosaeed; Nahed S. Hussien; F. S. Bayones

Amal Abdullah Bosaeed Math. Dept., Faculty of Science, Taif University, Saudi Arabia
Nahed S. Hussien Math. Dept., Faculty of Science, Taif University, Saudi Arabia
F. S. Bayones Math. Dept., Faculty of Science, Cairo University, Egypt

Keywords: Fibre-reinforced, viscoelastic, Rayleig wave velocity, rotation, magnetic field, the elastic medium.

Abstract

This paper is concerned with giving a mathematical model on the propagation of Rayleigh waves in a homogeneous magneto-thermo-viscoelastic,pre-stressed elastic half – space subjected to theinitial stress and rotation. The dispersion equation has been derived for a half-space, when both media are considered as pre-stressed and the effect of rotation and initial stressshown in earlier investigators.Numerical results have been obtained in the physical domain. Numerical simulated results are depicted graphically to show the effect of rotation and magnetic field and initial stressonRayleigh wave velocity. Comparison was made with the results obtained in the presence and absence of the rotation , initial stressand magnetic field. The study shows that there is a variational effect of magneto-elasticityand rotation, initial stress on the Rayleigh wave velocity.

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References

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