A Study of the Anisotropic Static Elasticity System in Thin Domain
We study the asymptotic behavior of solutions of the anisotropic heterogeneous linearized elasticity system in thin domain of ℝ3 which has a fixed cross-section in the ℝ2 plane with Tresca friction condition. The novelty here is that stress tensor has given by the most general form of Hooke’s law fo...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9918243 |
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| author | Yassine Letoufa Salah Mahmoud Boulaaras Hamid Benseridi Mourad Dilmi Asma Alharbi |
| author_facet | Yassine Letoufa Salah Mahmoud Boulaaras Hamid Benseridi Mourad Dilmi Asma Alharbi |
| author_sort | Yassine Letoufa |
| collection | DOAJ |
| description | We study the asymptotic behavior of solutions of the anisotropic heterogeneous linearized elasticity system in thin domain of ℝ3 which has a fixed cross-section in the ℝ2 plane with Tresca friction condition. The novelty here is that stress tensor has given by the most general form of Hooke’s law for anisotropic materials. We prove the convergence theorems for the transition 3D-2D when one dimension of the domain tends to zero. The necessary mathematical framework and (2D) equation model with a specific weak form of the Reynolds equation are determined. Finally, the properties of solution of the limit problem are given, in which it is confirmed that the limit problem is well defined. |
| format | Article |
| id | doaj-art-16edb996017841d38566f44aa6537fec |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-16edb996017841d38566f44aa6537fec2025-02-03T01:25:09ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99182439918243A Study of the Anisotropic Static Elasticity System in Thin DomainYassine Letoufa0Salah Mahmoud Boulaaras1Hamid Benseridi2Mourad Dilmi3Asma Alharbi4Department of Mathematics and Computer Sciences, University of El Oued, El Oued, PO Box 789 39000, AlgeriaDepartment of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Saudi ArabiaApplied Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, University of Ferhat ABBAS-Sétif 1, 19000, AlgeriaApplied Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, University of Ferhat ABBAS-Sétif 1, 19000, AlgeriaDepartment of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Saudi ArabiaWe study the asymptotic behavior of solutions of the anisotropic heterogeneous linearized elasticity system in thin domain of ℝ3 which has a fixed cross-section in the ℝ2 plane with Tresca friction condition. The novelty here is that stress tensor has given by the most general form of Hooke’s law for anisotropic materials. We prove the convergence theorems for the transition 3D-2D when one dimension of the domain tends to zero. The necessary mathematical framework and (2D) equation model with a specific weak form of the Reynolds equation are determined. Finally, the properties of solution of the limit problem are given, in which it is confirmed that the limit problem is well defined.http://dx.doi.org/10.1155/2021/9918243 |
| spellingShingle | Yassine Letoufa Salah Mahmoud Boulaaras Hamid Benseridi Mourad Dilmi Asma Alharbi A Study of the Anisotropic Static Elasticity System in Thin Domain Journal of Function Spaces |
| title | A Study of the Anisotropic Static Elasticity System in Thin Domain |
| title_full | A Study of the Anisotropic Static Elasticity System in Thin Domain |
| title_fullStr | A Study of the Anisotropic Static Elasticity System in Thin Domain |
| title_full_unstemmed | A Study of the Anisotropic Static Elasticity System in Thin Domain |
| title_short | A Study of the Anisotropic Static Elasticity System in Thin Domain |
| title_sort | study of the anisotropic static elasticity system in thin domain |
| url | http://dx.doi.org/10.1155/2021/9918243 |
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