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

Prikazchikov, DA, Rogerson, GA and Sandiford, KJ 2007, 'On localised vibrations in incompressible pre-stressed transversely isotropic elastic solids' , Journal of Sound and Vibration, 301 (3-5) , pp. 701-717.

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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.

Item Type: Article
Uncontrolled Keywords: Vibration, pre-stress, elastic solid
Themes: Subjects / Themes > Q Science > QA Mathematics
Subjects / Themes > Q Science > QC Physics
Subjects outside of the University Themes
Schools: Schools > School of Computing, Science and Engineering
Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre (SIRC)
Journal or Publication Title: Journal of Sound and Vibration
Publisher: Elsevier
Refereed: Yes
ISSN: 0022460X
Related URLs:
Depositing User: H Kenna
Date Deposited: 23 Aug 2007 13:06
Last Modified: 30 Nov 2015 23:59
URI: http://usir.salford.ac.uk/id/eprint/344

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