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Elastic wave propagation in a cylindrical bore situated in a micropolar elastic medium with stretch
Authors:S K Tomar  Rajneesh Kumar
Institution:(1) Department of Applied Mathematics, Guru Jambheshwar University, 125001 Hisar, India;(2) Department of Mathematics, Kurukshetra University, 136119 Kurukshetra, India
Abstract:Propagation of surface elastic waves in a cylindrical bore through a micropolar elastic medium with stretch is analysed in two cases. In the first case, the cylindrical bore is considered empty while in the second case, the bore is filled with homogeneous inviscid liquid. In both the problems, period equations are obtained in closed form. The problem of Banerji and Sengupta 2,3] has been reduced as a special case. Numerical calculations have been performed for a particular model and results obtained are presented graphically. It is noticed that the effect of micropolarity on dispersion curve is significant while the effect of micro-stretch on dispersion curve is not appreciable.
Keywords:Surface waves  cylindrical bore  micropolarity  stretch  phase velocity  dispersion
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