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On localised vibrations in incompressible pre-stressed transversely isotropic elastic solids

Prikazchikov, DA; Rogerson, GA; Sandiford, KJ

Authors

DA Prikazchikov

GA Rogerson

KJ Sandiford



Abstract

This paper is concerned with 2D localised vibration in incompressible pre-stressed fibre-reinforced elastic solids and the closely related problem of surface wave propagation in such materials. An appropriate constitutive model is derived and its stability discussed within the context of the strong ellipticity condition. Surface wave propagation in an associated half-space is considered, with the particular cases of propagation along a principal direction of primary deformation and that of almost inextensible fibres also investigated. The problems of free and forced edge vibration of a semi-infinite strip are analysed, revealing a link between the natural edge frequencies and the associated Rayleigh surface wave speed.

Citation

Prikazchikov, D., Rogerson, G., & Sandiford, K. (2007). On localised vibrations in incompressible pre-stressed transversely isotropic elastic solids. Journal of Sound and Vibration, 301(3-5), 701-717. https://doi.org/10.1016/j.jsv.2006.10.027

Journal Article Type Article
Publication Date Apr 3, 2007
Deposit Date Aug 23, 2007
Publicly Available Date Aug 23, 2007
Journal Journal of Sound and Vibration
Print ISSN 0022-460X
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 301
Issue 3-5
Pages 701-717
DOI https://doi.org/10.1016/j.jsv.2006.10.027
Keywords Vibration, pre-stress, elastic solid
Publisher URL http://dx.doi.org/10.1016/j.jsv.2006.10.027
Related Public URLs http://www.elsevier.com/wps/find/homepage.cws_home
http://www.elsevier.com/wps/find/journaldescription.cws_home/622899/description#description

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