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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: Colleges and Schools > College of Science & Technology
    Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering
    Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering > Materials & Physics Research Centre
    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 14:06
    Last Modified: 20 Aug 2013 16:47
    URI: http://usir.salford.ac.uk/id/eprint/344

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