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On the approximate schemes for the evaluation of the acoustic radiation by a thin elastic layer

Kaplunov, Julius; Prikazchikova, Ludmila; Shamsi, Sheeru

Authors

Sheeru Shamsi



Abstract

A plane strain problem for forced time-harmonic vibrations of an elastic layer lying on an acoustic half-space is considered. The validity of the approximate formulation involving the classical Kirchhoff theory for plate bending as well as its shortened forms is investigated. The developed asymptotic framework demonstrates that the aforementioned theory is not able to predict the effect of the plate stiffness on the acoustic radiation. A consistent low-frequency approximation relying on plate transverse compression instead of plate bending is derived.

Citation

Kaplunov, J., Prikazchikova, L., & Shamsi, S. (in press). On the approximate schemes for the evaluation of the acoustic radiation by a thin elastic layer. Continuum Mechanics and Thermodynamics, 37, 1-14. https://doi.org/10.1007/s00161-025-01365-0

Journal Article Type Article
Acceptance Date Feb 6, 2025
Online Publication Date Mar 12, 2025
Deposit Date Mar 21, 2025
Publicly Available Date Mar 21, 2025
Journal Continuum Mechanics and Thermodynamics
Print ISSN 0935-1175
Electronic ISSN 1432-0959
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 37
Article Number 40
Pages 1-14
DOI https://doi.org/10.1007/s00161-025-01365-0
Keywords Fluid-loaded elastic layer, Kirchhoff plate, Acoustic radiation, Asymptotic
Public URL https://keele-repository.worktribe.com/output/1107096

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Copyright Statement
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.





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