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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
ISSN: 1081-2865
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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