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Determining the Elastic Constants of Isotropic Materials by Measuring the Phase Velocities of the A(0) and S(0) Modes of Lamb Waves
In this study, a new method for determining the elastic constants of isotropic plates using Lamb wave fundamental modes is presented. This method solves the inverse problem, where the elastic constants (Young’s modulus and Poisson’s ratio) of the plate were estimated by measuring the phase velocitie...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10422588/ https://www.ncbi.nlm.nih.gov/pubmed/37571462 http://dx.doi.org/10.3390/s23156678 |
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author | Tumšys, Olgirdas Mažeika, Liudas |
author_facet | Tumšys, Olgirdas Mažeika, Liudas |
author_sort | Tumšys, Olgirdas |
collection | PubMed |
description | In this study, a new method for determining the elastic constants of isotropic plates using Lamb wave fundamental modes is presented. This method solves the inverse problem, where the elastic constants (Young’s modulus and Poisson’s ratio) of the plate were estimated by measuring the phase velocities of the Lamb wave using the Rayleigh–Lamb equations to find the solution and determining the phase velocities of the A(0) and S(0) modes using a new method. The suitability of the proposed method for determining the elastic constants was evaluated using simulated and experimental signals propagating on an aluminum plate. The theoretical modeling on the aluminum 7075-T6 plate shows that the proposed method allows the determination of the Poisson ratio with a relative error not exceeding 2% and Young’s modulus with a relative error not exceeding 0.5%. The experimental measurements of an aluminum plate of known thickness (2 mm) and density (2685 kg/m(3)) confirmed the suitability of the proposed method for the measurements of elastic constants. In the proposed method, the processing of ultrasonic signals can be performed in real-time, and the values of the elastic constants can be obtained immediately after scanning the required distance. |
format | Online Article Text |
id | pubmed-10422588 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-104225882023-08-13 Determining the Elastic Constants of Isotropic Materials by Measuring the Phase Velocities of the A(0) and S(0) Modes of Lamb Waves Tumšys, Olgirdas Mažeika, Liudas Sensors (Basel) Article In this study, a new method for determining the elastic constants of isotropic plates using Lamb wave fundamental modes is presented. This method solves the inverse problem, where the elastic constants (Young’s modulus and Poisson’s ratio) of the plate were estimated by measuring the phase velocities of the Lamb wave using the Rayleigh–Lamb equations to find the solution and determining the phase velocities of the A(0) and S(0) modes using a new method. The suitability of the proposed method for determining the elastic constants was evaluated using simulated and experimental signals propagating on an aluminum plate. The theoretical modeling on the aluminum 7075-T6 plate shows that the proposed method allows the determination of the Poisson ratio with a relative error not exceeding 2% and Young’s modulus with a relative error not exceeding 0.5%. The experimental measurements of an aluminum plate of known thickness (2 mm) and density (2685 kg/m(3)) confirmed the suitability of the proposed method for the measurements of elastic constants. In the proposed method, the processing of ultrasonic signals can be performed in real-time, and the values of the elastic constants can be obtained immediately after scanning the required distance. MDPI 2023-07-26 /pmc/articles/PMC10422588/ /pubmed/37571462 http://dx.doi.org/10.3390/s23156678 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Tumšys, Olgirdas Mažeika, Liudas Determining the Elastic Constants of Isotropic Materials by Measuring the Phase Velocities of the A(0) and S(0) Modes of Lamb Waves |
title | Determining the Elastic Constants of Isotropic Materials by Measuring the Phase Velocities of the A(0) and S(0) Modes of Lamb Waves |
title_full | Determining the Elastic Constants of Isotropic Materials by Measuring the Phase Velocities of the A(0) and S(0) Modes of Lamb Waves |
title_fullStr | Determining the Elastic Constants of Isotropic Materials by Measuring the Phase Velocities of the A(0) and S(0) Modes of Lamb Waves |
title_full_unstemmed | Determining the Elastic Constants of Isotropic Materials by Measuring the Phase Velocities of the A(0) and S(0) Modes of Lamb Waves |
title_short | Determining the Elastic Constants of Isotropic Materials by Measuring the Phase Velocities of the A(0) and S(0) Modes of Lamb Waves |
title_sort | determining the elastic constants of isotropic materials by measuring the phase velocities of the a(0) and s(0) modes of lamb waves |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10422588/ https://www.ncbi.nlm.nih.gov/pubmed/37571462 http://dx.doi.org/10.3390/s23156678 |
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