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The influence of the viscosity and the magnetic field on reflection and transmission of waves at interface between magneto-viscoelastic materials
Authors:Abo-el-Nour N Abd-Alla  S M Abo-Dahab
Institution:(1) Department of Mathematics, Faculty of Science, Sohag University, Sohag, 82524, Egypt
Abstract:The influence of the viscosity on reflection and refraction of plane shear elastic waves in two magnetized semi-infinite media is investigated. The numerical results for the absolute values of the reflection and refraction coefficients and their relative changes for a particular choice of the media are presented graphically. The relative changes of these coefficients are calculated for two special orientations of the magnetic field. It is found that the absolute values of these coefficients are not only functions of the angle of incidence but they are also functions of both the large primary magnetic field and the viscosity of the media. They also vary with the orientation of the magnetic field. Finally, we show that the results of earlier works could be obtained here as particular cases. Finally, this study is regarded an attempt to accommodate magnetic field in visco-elastic media where reflection and refraction of plane shear waves are considered. Results which are obtained in this investigation useful for practical applications or for understanding some aspects of physical acoustic.
Keywords:Magneto-visco-elasticity  Reflection and transmission of plane shear waves  Mechanicss of solids and structures
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