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http://bura.brunel.ac.uk/handle/2438/5212
Title: | The transition between Neumann and Dirichlet boundary conditions in isotropic elastic plates |
Authors: | Moukhomodiarov, R R Pichugin, A V Rogerson, G A |
Keywords: | Layer;Dispersion;Long waves;Asymptotics;Thickness resonance |
Issue Date: | 2010 |
Publisher: | Sage publications ltd |
Citation: | Mathematics and Mechanics of Solids 15(4): 462-490, June 2010 |
Abstract: | The transition from Neumann (traction-free) to Dirichlet (fixed-face) boundary conditions is investigated in respect of wave propagation in a linear isotropic elastic layer. Attention is focused on the implications of such a transition on the dispersion curve branches within the long-wave region. The formation of low-frequency band gap that is expected to exist in layers with Dirichlet boundary condition is shown to be caused by different mechanisms in anti-symmetric and symmetric cases. Certain implications to short-wave propagation in the layer are also investigated. The study includes both a numerical investigation and a multi-parameter asymptotic analysis. |
Description: | The official published version can be obtained from the link below - Copyright @ 2010 by SAGE Publications |
URI: | http://bura.brunel.ac.uk/handle/2438/5212 |
DOI: | http://dx.doi.org/10.1177/1081286509103781 |
ISSN: | 1081-2865 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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