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.
|PDF (Author version) |
Download (255kB) | Preview
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.
|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:||International Journal of Non-Linear Mechanics|
|Depositing User:||H Kenna|
|Date Deposited:||23 Aug 2007 14:08|
|Last Modified:||20 Aug 2013 16:47|
Document DownloadsMore statistics for this item...
Actions (login required)
|Edit record (repository staff only)|