Abnormal long wave dispersion phenomena in a slightly compressible elastic plate with non-classical boundary conditions

Rogerson, GA, Sandiford, KJ and Prikazchikova, LA 2007, 'Abnormal long wave dispersion phenomena in a slightly compressible elastic plate with non-classical boundary conditions' , International Journal of Non-Linear Mechanics, 42 (2) , pp. 298-309.

Preview

PDF (Author version) Download (261kB) | Preview

Abstract

A two parameter asymptotic analysis is employed to investigate some unusual long wave dispersion phenomena in respect of symmetric motion in a nearly incompressible elastic plate. The plate is not subject to the usual classical traction free boundary conditions, but rather has its faces fixed, precluding any displacement on the boundary. The abnormal long wave behaviour results in the derivation of non-local approximations for symmetric motion, giving frequency as a function of wave number. Motivated by these approximations, the asymptotic forms of displacement components established and long wave asymptotic integration is carried out.

Item Type:	Article
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
Journal or Publication Title:	International Journal of Non-Linear Mechanics
Publisher:	Elsevier
Refereed:	Yes
ISSN:	00207462
Related URLs:	Publisher Publisher
Depositing User:	H Kenna
Date Deposited:	23 Aug 2007 13:08
Last Modified:	16 Feb 2022 07:37
URI:	https://usir.salford.ac.uk/id/eprint/345

Actions (login required)

Edit record (repository staff only)