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DC Field | Value | Language |
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dc.contributor.author | Zernov, V | - |
dc.contributor.author | Kaplunov, JD | - |
dc.coverage.spatial | 18 | en |
dc.date.accessioned | 2008-03-27T14:52:04Z | - |
dc.date.available | 2008-03-27T14:52:04Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Proceedings of the Royal Society of London, Series A, 464: 301-318, Feb 2008 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/1874 | - |
dc.description.abstract | This paper describes the propagation of three-dimensional symmetric waves localized near the traction-free edge of a semi-infinite elastic plate with either traction-free or fixed faces. For both types of boundary conditions, we present a variational proof of the existence of the low-order edge waves. In addition, for a plate with traction-free faces and zero Poisson ratio, the fundamental edge wave is described by a simple explicit formula, and the first-order edge wave is proved to exist. Qualitative variational predictions are compared with numerical results, which are obtained using expansions in three-dimensional Rayleigh–Lamb and shear modes. It is also demonstrated numerically that for any non-zero Poisson ratio in a plate with traction-free faces, the eigenfrequencies related to the first-order wave are complex valued. | en |
dc.format.extent | 233601 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Royal Society Publishing | en |
dc.subject | Edge wave | en |
dc.subject | Elastic plate | en |
dc.subject | Variation | en |
dc.subject | Eigenspectrum | en |
dc.subject | Rayleigh–Lamb | en |
dc.title | Three-dimensional edge waves in plates | en |
dc.type | Research Paper | en |
Appears in Collections: | Computer Science Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
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edgewaves.pdf | 228.13 kB | Adobe PDF | View/Open |
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