Skip Navigation


IMA Journal of Applied Mathematics Advance Access originally published online on March 18, 2008
IMA Journal of Applied Mathematics 2008 73(6):950-963; doi:10.1093/imamat/hxn005
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
73/6/950    most recent
hxn005v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Postnova, J.
Right arrow Articles by Craster, R. V.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Trapped modes in 3D topographically varying plates

J. Postnova and R. V. Craster{dagger}

Department of Mathematics, Imperial College London, South Kensington Campus, London SW7 2AZ, UK

{dagger} Email: r.craster{at}imperial.ac.uk

Received on August 3, 2007; Accepted on January 30, 2008

Trapped modes in 3D elastic plates are considered as a model of waves that are guided along, and localized to the vicinity of, welds. These waves propagate unattenuated along the weld and exponentially decay with distance transverse to it. In the direction of propagation (y), there is no change in geometry and we assume that waves have the form exp(iβy). An asymptotic long-wave theory provides numerical values of the trapped mode frequencies and gives conditions at which trapping can occur; these depend on the components of the wave number in different directions and variations of the plate thickness. The results of this long-wave theory are compared with a numerical solution of the full governing equations.

Keywords: trapped modes; asymptotic expansion; group velocity; resonance frequency.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?


This article has been cited by other articles:


Home page
 Proc R Soc AHome page
Z. Fan and M. J.S. Lowe
Elastic waves guided by a welded joint in a plate
Proc R Soc A, July 8, 2009; 465(2107): 2053 - 2068.
[Abstract] [Full Text] [PDF]


Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.