## 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 2003/07/15 Bessel functions; Euler's equation of motion; associated Legendre functions; elasticity problem; hypergeometric functions Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik 33-XX SPECIAL FUNCTIONS (33-XX DEALS WITH THE PROPERTIES OF FUNCTIONS AS FUNCTIONS) (For orthogonal functions, see 42Cxx; for aspects of combinatorics see 05Axx; for number-theoretic aspects see 11-XX; for representation theory see 22Exx) / 33Cxx Hypergeometric functions / 33C05 Classical hypergeometric functions, 2F1 33-XX SPECIAL FUNCTIONS (33-XX DEALS WITH THE PROPERTIES OF FUNCTIONS AS FUNCTIONS) (For orthogonal functions, see 42Cxx; for aspects of combinatorics see 05Axx; for number-theoretic aspects see 11-XX; for representation theory see 22Exx) / 33Cxx Hypergeometric functions / 33C10 Bessel and Airy functions, cylinder functions, 0F1 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Lxx Hyperbolic equations and systems [See also 58J45] / 35L05 Wave equation 74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Bxx Elastic materials / 74B99 None of the above, but in this section 86-XX GEOPHYSICS [See also 76U05, 76V05] / 86Axx Geophysics [See also 76U05, 76V05] / 86A15 Seismology Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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