Asymptotic modeling of viscoelastic thin plates and slender beams, a unifying approach
A dimension reduction problem is tackled using Trotter’s theory of convergence of semi-groups of operators acting on variable spaces [1, 2]. We show that this framework makes it possible to perform the asymptotic analysis for both viscoelastic thin plates and slender beams in a unifying manner. Seve...
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| Language: | English |
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Académie des sciences
2024-06-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.252/ |
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| author | Terapabkajornded, Yotsawat Orankitjaroen, Somsak Licht, Christian Weller, Thibaut |
| author_facet | Terapabkajornded, Yotsawat Orankitjaroen, Somsak Licht, Christian Weller, Thibaut |
| author_sort | Terapabkajornded, Yotsawat |
| collection | DOAJ |
| description | A dimension reduction problem is tackled using Trotter’s theory of convergence of semi-groups of operators acting on variable spaces [1, 2]. We show that this framework makes it possible to perform the asymptotic analysis for both viscoelastic thin plates and slender beams in a unifying manner. Several models are provided for the dynamic behavior of such structures in bilateral contact with a rigid body on a part of their boundaries with Norton or Tresca friction. |
| format | Article |
| id | doaj-art-c5799e6e3cd54b8e9e252b8e231599f1 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-c5799e6e3cd54b8e9e252b8e231599f12025-02-07T13:48:46ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342024-06-01352G120122210.5802/crmeca.25210.5802/crmeca.252Asymptotic modeling of viscoelastic thin plates and slender beams, a unifying approachTerapabkajornded, Yotsawat0Orankitjaroen, Somsak1Licht, Christian2Weller, Thibaut3Department of Mathematics, Faculty of Science, Mahidol University, Bangkok,Thailand; LMGC, Université de Montpellier, CNRS, Montpellier, FranceCentre of Excellence in Mathematics, CHE, Bangkok, Thailand; Department of Mathematics, Faculty of Science, Mahidol University, Bangkok,ThailandCentre of Excellence in Mathematics, CHE, Bangkok, Thailand; Department of Mathematics, Faculty of Science, Mahidol University, Bangkok,Thailand; LMGC, Université de Montpellier, CNRS, Montpellier, FranceLMGC, Université de Montpellier, CNRS, Montpellier, FranceA dimension reduction problem is tackled using Trotter’s theory of convergence of semi-groups of operators acting on variable spaces [1, 2]. We show that this framework makes it possible to perform the asymptotic analysis for both viscoelastic thin plates and slender beams in a unifying manner. Several models are provided for the dynamic behavior of such structures in bilateral contact with a rigid body on a part of their boundaries with Norton or Tresca friction.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.252/Thin platesslender beamsviscoelasticity of non-linear Kelvin-Voigt typeNorton or Tresca frictiontransient problemsasymptotic analysisdimension reductionmaximal-monotone operatorsapproximation of semi-groups in the sense of Trotter |
| spellingShingle | Terapabkajornded, Yotsawat Orankitjaroen, Somsak Licht, Christian Weller, Thibaut Asymptotic modeling of viscoelastic thin plates and slender beams, a unifying approach Comptes Rendus. Mécanique Thin plates slender beams viscoelasticity of non-linear Kelvin-Voigt type Norton or Tresca friction transient problems asymptotic analysis dimension reduction maximal-monotone operators approximation of semi-groups in the sense of Trotter |
| title | Asymptotic modeling of viscoelastic thin plates and slender beams, a unifying approach |
| title_full | Asymptotic modeling of viscoelastic thin plates and slender beams, a unifying approach |
| title_fullStr | Asymptotic modeling of viscoelastic thin plates and slender beams, a unifying approach |
| title_full_unstemmed | Asymptotic modeling of viscoelastic thin plates and slender beams, a unifying approach |
| title_short | Asymptotic modeling of viscoelastic thin plates and slender beams, a unifying approach |
| title_sort | asymptotic modeling of viscoelastic thin plates and slender beams a unifying approach |
| topic | Thin plates slender beams viscoelasticity of non-linear Kelvin-Voigt type Norton or Tresca friction transient problems asymptotic analysis dimension reduction maximal-monotone operators approximation of semi-groups in the sense of Trotter |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.252/ |
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