Skip to the content

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.

[img]
Preview
PDF (Author version)
Download (250kB) | Preview

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 13:06
Last Modified: 20 Aug 2013 15:47
URI: http://usir.eprints.org/id/eprint/344

Actions (login required)

Edit record (repository staff only) Edit record (repository staff only)

Downloads

Downloads per month over past year