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Structural Engineering and Mechanics Volume 53, Number 2, January25 2015 , pages 277-296 DOI: https://doi.org/10.12989/sem.2015.53.2.277 |
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Wave propagation in fibre-reinforced anisotropic thermoelastic medium subjected to gravity field |
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A.M. Abd-Alla, S.M. Abo-Dahab, F.S. Bayones
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| Abstract | ||
| The objective of this paper is to investigate the surface waves in fibre-reinforced anisotropic thermoelastic 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 displacement components, force stress and temperature distribution 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 in Green-Lindsay and Lord-Shulman theory of thermoelasticity. Comparison was made with the results obtained in the presence and absence of gravity, anisotropy, relaxation times and parameters for fibrereinforced of the material medium. The results indicate that the effect of gravity, anisotropy, relaxation times and parameters for fibre-reinforced of the material medium are very pronounced. | ||
| Key Words | ||
| wave propagation; fibre-reinforced medium; thermal stresses; thermo-elastic medium; gravity field | ||
| Address | ||
| A.M. Abd-Alla: Mathematics Department, Faculty of Science, Taif University, Saudi Arabia; Mathematics Department, Faculty of Science, Sohag University, Egypt S.M. Abo-Dahab: Mathematics Department, Faculty of Science, Taif University, Saudi Arabia; Mathematics Department, Faculty of Science, Qena, Egypt, Qena 83523, Egypt F.S. Bayones: Mathematics Department, Faculty of Science, Taif University, Saudi Arabia | ||