Elastic wave propagation in a cylindrical bore situated in a micropolar elastic medium with stretch |
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Authors: | S K Tomar Rajneesh Kumar |
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Institution: | (1) Department of Applied Mathematics, Guru Jambheshwar University, 125001 Hisar, India;(2) Department of Mathematics, Kurukshetra University, 136119 Kurukshetra, India |
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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. |
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Keywords: | Surface waves cylindrical bore micropolarity stretch phase velocity dispersion |
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