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A model for spherical SH wave propagation in self-reinforced linearly elastic media |
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| Authors: | Amares Chattopadhyay Volker Michel |
| Institution: | (1) Department of Applied Mathematics, Indian School of Mines, Dhanbad, 826 004, India;(2) Geomathematics Group, Department of Mathematics, University of Kaiserslautern, P.O. Box 3049, D–67653 Kaiserslautern, Germany |
| Abstract: | We study a spherical wave propagating in the radial and latitude directions and oscillating in the longitude direction in the case of fibre-reinforced linearly elastic material. A function system solving Euler's equation of motion in this case and depending on certain Bessel and associated Legendre functions is derived. |
| Keywords: | Fibre-reinforced linearly elastic media Elasticity problem Sphere Bessel functions Associated Legendre functions Hypergeometric functions |
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