Plotting Lamb waves dispersion curves of an aluminum plate by the Semi-Analytical Finite Element (SAFE) method and comparison with analytical curves
It is well known that the propagation of Lamb waves in elastic solid medias depends on the frequency and on the material properties, but it does not depend on the propagation direction in isotropic medias and gives rise to two basic types of modes, symmetric and antisymmetric ones. This paper presen...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2022-01-01
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| Series: | ITM Web of Conferences |
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| Online Access: | https://www.itm-conferences.org/articles/itmconf/pdf/2022/08/itmconf_iccwcs2022_02006.pdf |
| _version_ | 1798001681248550912 |
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| author | Jabiri Ayoub Yacoubi Abdelali El Allami Mhammed |
| author_facet | Jabiri Ayoub Yacoubi Abdelali El Allami Mhammed |
| author_sort | Jabiri Ayoub |
| collection | DOAJ |
| description | It is well known that the propagation of Lamb waves in elastic solid medias depends on the frequency and on the material properties, but it does not depend on the propagation direction in isotropic medias and gives rise to two basic types of modes, symmetric and antisymmetric ones. This paper presents an application of the semi-analytical finite element (SAFE) method on an isotropic aluminum plate of thickness e = 2mm. The main goal of this paper is to make a quantitative evaluation of the SAFE method by carrying out the following tasks: a) calculation of the dispersion curves (wavenumber, phase velocity, group velocity, b) calculation of the relative error and validation of the proposed algorithm, c) comparison between the curves obtained by SAFE method on those obtained by Bisection method. It should be noted here that our study is restricted on the propagative modes. |
| first_indexed | 2024-04-11T11:41:24Z |
| format | Article |
| id | doaj.art-989b67144f5a4794aa16d735f2d415a5 |
| institution | Directory Open Access Journal |
| issn | 2271-2097 |
| language | English |
| last_indexed | 2024-04-11T11:41:24Z |
| publishDate | 2022-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ITM Web of Conferences |
| spelling | doaj.art-989b67144f5a4794aa16d735f2d415a52022-12-22T04:25:50ZengEDP SciencesITM Web of Conferences2271-20972022-01-01480200610.1051/itmconf/20224802006itmconf_iccwcs2022_02006Plotting Lamb waves dispersion curves of an aluminum plate by the Semi-Analytical Finite Element (SAFE) method and comparison with analytical curvesJabiri Ayoub0Yacoubi Abdelali1El Allami Mhammed2Labo MIET, Department of applied physics, FSTLabo MIET, Department of applied physics, FSTLabo MIET, Department of applied physics, FSTIt is well known that the propagation of Lamb waves in elastic solid medias depends on the frequency and on the material properties, but it does not depend on the propagation direction in isotropic medias and gives rise to two basic types of modes, symmetric and antisymmetric ones. This paper presents an application of the semi-analytical finite element (SAFE) method on an isotropic aluminum plate of thickness e = 2mm. The main goal of this paper is to make a quantitative evaluation of the SAFE method by carrying out the following tasks: a) calculation of the dispersion curves (wavenumber, phase velocity, group velocity, b) calculation of the relative error and validation of the proposed algorithm, c) comparison between the curves obtained by SAFE method on those obtained by Bisection method. It should be noted here that our study is restricted on the propagative modes.https://www.itm-conferences.org/articles/itmconf/pdf/2022/08/itmconf_iccwcs2022_02006.pdfsemi-analytical finite element (safe) methodbisection methodlamb wavesdispersion curvesisotropic plates. |
| spellingShingle | Jabiri Ayoub Yacoubi Abdelali El Allami Mhammed Plotting Lamb waves dispersion curves of an aluminum plate by the Semi-Analytical Finite Element (SAFE) method and comparison with analytical curves ITM Web of Conferences semi-analytical finite element (safe) method bisection method lamb waves dispersion curves isotropic plates. |
| title | Plotting Lamb waves dispersion curves of an aluminum plate by the Semi-Analytical Finite Element (SAFE) method and comparison with analytical curves |
| title_full | Plotting Lamb waves dispersion curves of an aluminum plate by the Semi-Analytical Finite Element (SAFE) method and comparison with analytical curves |
| title_fullStr | Plotting Lamb waves dispersion curves of an aluminum plate by the Semi-Analytical Finite Element (SAFE) method and comparison with analytical curves |
| title_full_unstemmed | Plotting Lamb waves dispersion curves of an aluminum plate by the Semi-Analytical Finite Element (SAFE) method and comparison with analytical curves |
| title_short | Plotting Lamb waves dispersion curves of an aluminum plate by the Semi-Analytical Finite Element (SAFE) method and comparison with analytical curves |
| title_sort | plotting lamb waves dispersion curves of an aluminum plate by the semi analytical finite element safe method and comparison with analytical curves |
| topic | semi-analytical finite element (safe) method bisection method lamb waves dispersion curves isotropic plates. |
| url | https://www.itm-conferences.org/articles/itmconf/pdf/2022/08/itmconf_iccwcs2022_02006.pdf |
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