Karageorghis, A. and Lesnic, D. orcid.org/0000-0003-3025-2770 (2024) The method of fundamental solutions for solving scattering problems from infinite elastic thin plates. Computers & Structures, 301. 107419. ISSN 0045-7949
Abstract
We investigate different variants of the method of fundamental solutions for solving scattering problems from infinite elastic thin plates. These provide novelty and desirable ease of implementation as direct accurate and fast solvers to be used iteratively in solving the corresponding inverse problems. Various direct problems associated with physical states of clamped, simply supported, roller–supported and free plates can be solved efficiently using the proposed meshless method. In particular, the numerical implementation performed for clamped plates leads to results showing very good agreement with the analytical solution, where available, and with previously obtained boundary integral method solutions. As for the inverse obstacle identification, the study further develops a constrained nonlinear regularization method for identifying a cavity concealed in an infinite elastic thin plate that has important benefits to the structural monitoring of aircraft components using non–destructing material testing.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an author produced version of an article published in Computers & Structures, made available under the terms of the Creative Commons Attribution License (CC-BY), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Wave scattering, Infinite elastic thin plates, Method of fundamental solutions |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 23 May 2024 09:53 |
Last Modified: | 13 Jun 2024 15:45 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.compstruc.2024.107419 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:212698 |