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Propagation of Rayleigh waves in generalized magneto-thermoelastic orthotropic material under initial stress and gravity field
Authors:AM Abd-Alla  SM Abo-Dahab  HAH Hammad
Affiliation:1. Maths. Dept., Faculty of Science, Taif University, Saudi Arabia;2. Maths. Dept., Faculty of Science, Sohag University, Egypt;3. Maths. Dept., Faculty of Science, Assiut University, Egypt;4. Maths. Dept., Faculty of Science, SVU, Qena 83523, Egypt
Abstract:In this paper the influence of the gravity field, relaxation times and initial stress on propagation of Rayleigh waves in an orthotropic magneto-thermoelastic solid medium has been investigated. The solution of the more general equations are obtained for thermoelastic coupling by Helmoltz’s theorem. The frequency equation which determines Rayleigh wave velocity have been obtained. Many special cases are investigated from the present problem. Numerical results analyzing the frequency equation are obtained and presented graphically. Relevant results of previous investigations are deduced as special cases from these results. The results indicate that the effect of initial stress, magnetic field and gravity field are very pronounced.
Keywords:Rayleigh waves  Magnetic field  Orthotropic  Thermoelasticity  Gravity  Initial stress
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