MAGNETOELASTIC SURFACE WAVES IN ELECTRICALLY CONDUCTING FIBRE-REINFORCED MEDIA

摘要

This paper investigates the propagation of surface wavesin fibre-reinforced electrically conducting elastic solid media per-meated by a primary magnetic field. First, the theory of generalsurface waves has been derived and then this theory has been ap-plied to study Rayleigh, Love and Stoneley type of waves, whichare the special cases of the above surface waves. The frequencyequations are found in every case. The results obtained in thispaper may be considered as more general in the sense that someother important formulas investigated by different authors maybe deduced from our result as special cases. Combined effect ofmagnetic field, electrical conductivity and the reinforcement ofthe medium on the propagation of Rayleigh and Love type ofwaves have been studied numerically with graphical representa-tions. Numerical study of the Stoneley waves is not pursued dueto its complicated nature. It is found that the presence of mag-netic field in electrically conducting fibre-reinforced media modu-lates the Rayleigh wave velocity to a considerable extent. Thoughthe fibre-reinforcement has a significant effect on the propagationof Love waves, magnetic field has no role to play in this case. Themodulation of Love wave velocity due to fibre-reinforcement hasalso been studied numerically.