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http://bura.brunel.ac.uk/handle/2438/16579| Title: | Composite wave models for elastic plates |
| Authors: | Erbaş, B Kaplunov, J Nolde, E Palsü, M |
| Keywords: | elastic plate;composite;asymptotic;Rayleigh wave;hyperbolic equation |
| Issue Date: | 20-Jun-2018 |
| Publisher: | Royal Society |
| Citation: | Erbaş, B., Kaplunov, J., Nolde, E. and Palsü, M. (2018) 'Composite wave models for elastic plates', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474(2214), 20180103, pp. 1-16. doi: 10.1098/rspa.2018.0103. |
| Abstract: | © 2018 The Author(s). The long-term challenge of formulating an asymptotically motivated wave theory for elastic plates is addressed. Composite two-dimensional models merging the leading or higher-order parabolic equations for plate bending and the hyperbolic equation for the Rayleigh surface wave are constructed. Analysis of numerical examples shows that the proposed approach is robust not only at low- and high-frequency limits but also over the intermediate frequency range. |
| URI: | https://bura.brunel.ac.uk/handle/2438/16579 |
| DOI: | https://doi.org/10.1098/rspa.2018.0103 |
| ISSN: | 1364-503X |
| Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | © 2018 The Author(s). Published by the Royal Society under licence (https://royalsociety.org/-/media/journals/author/Royal-Society-Open-Access-Licence-to-Publish-12102018.pdf). This is an accepted manuscript. The published version may differ from it. Please cite as: Erbaş, B., Kaplunov, J., Nolde, E. and Palsü, M. (2018) 'Composite wave models for elastic plates', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474(2214), 20180103, pp. 1-16. doi: 10.1098/rspa.2018.0103. | 411.14 kB | Adobe PDF | View/Open |
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