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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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Metadaten
Author:Amares Chattopadhyay, Volker Michel
URN (permanent link):urn:nbn:de:hbz:386-kluedo-12535
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (258)
Document Type:Preprint
Language of publication:English
Year of Completion:2003
Year of Publication:2003
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2003/07/15
Tag:Bessel functions; Euler's equation of motion; associated Legendre functions; elasticity problem; hypergeometric functions
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):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
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011