Julius Kaplunov j.kaplunov@keele.ac.uk
Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation
Kaplunov
Authors
Abstract
<jats:title>Abstract</jats:title> <jats:p>A 3D dynamic problem for a thin elastic layer resting on a Winkler foundation is considered. The stiffness of the layer is assumed to be much greater than that of the foundation in order to allow low-frequency bending motion. The leading long-wave approximation valid outside the vicinity of the cut-off frequency is derived. It is identical to the classical Kirchhoff plate theory. A novel near cut-off 2D approximation is also established. It involves both bending and extension motions which are not separated from each other due to the effect of the foundation. The associated dispersion relation appears to be non-uniform over the small wavenumber domain.</jats:p>
Acceptance Date | Jul 17, 2022 |
---|---|
Publication Date | Oct 27, 2022 |
Publicly Available Date | Oct 28, 2023 |
Journal | IMA Journal of Applied Mathematics |
Print ISSN | 0272-4960 |
Publisher | Oxford University Press |
Pages | 707 - 721 |
DOI | https://doi.org/10.1093/imamat/hxac023 |
Publisher URL | https://academic.oup.com/imamat/article-abstract/87/5/707/6712386?redirectedFrom=fulltext |
Files
OneSidedWinklerNonConventional09Temmuz2022_R1.pdf
(222 Kb)
PDF
Publisher Licence URL
https://creativecommons.org/licenses/by-nc/4.0/
Erbaş et al. 2022 - Asymptotic analysis of 3D dynamic equations in linear elasticity for a thin layer resting on a Winkler foundation.pdf
(574 Kb)
PDF
Publisher Licence URL
https://creativecommons.org/licenses/by-nc/4.0/
You might also like
Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell
(2023)
Journal Article
Some aspects of wave propagation in a fluid-loaded membrane
(2022)
Book Chapter
Dispersion of the Bending Wave in a Fluid-loaded Elastic Layer
(2022)
Book Chapter
The effect of contact conditions on the performance of flexural seismic metasurfaces
(2022)
Journal Article
Downloadable Citations
About Keele Repository
Administrator e-mail: research.openaccess@keele.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search