A Model for Spherical SH-Wave Propagation in Self-reinforced Linearly Elastic Media

• The original publication is available at www.springerlink.com. This original publication also contains further results. We study a spherical wave propagating in radius- and latitude-direction and oscillating in latitude-direction in 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.

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Author: Amares Chattopadhyay, Volker Michel urn:nbn:de:hbz:386-kluedo-12535 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (258) Preprint English 2003 2003 Technische Universität Kaiserslautern Bessel functions; Euler's equation of motion; associated Legendre functions; elasticity problem; hypergeometric functions Fachbereich Mathematik 510 Mathematik 33C05 Classical hypergeometric functions, 2F1 33C10 Bessel and Airy functions, cylinder functions, 0F1 35L05 Wave equation 74B99 None of the above, but in this section 86A15 Seismology

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