Homogenization of linearized elasticity systems with traction condition in perforated domains
In this paper, we study the asymptotic behavior of the linearized elasticity system with nonhomogeneous traction condition in perforated domains. To do that, we use the $H_e^0$-convergence introduced by M. El Hajji in [4] which generalizes - in the case of the linearized elasticity system - the noti...
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| Format: | Article |
| Language: | English |
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Texas State University
1999-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1999/41/abstr.html |
| _version_ | 1818209727307317248 |
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| author | Mohamed El Hajji |
| author_facet | Mohamed El Hajji |
| author_sort | Mohamed El Hajji |
| collection | DOAJ |
| description | In this paper, we study the asymptotic behavior of the linearized elasticity system with nonhomogeneous traction condition in perforated domains. To do that, we use the $H_e^0$-convergence introduced by M. El Hajji in [4] which generalizes - in the case of the linearized elasticity system - the notion of $H^0$-convergence introduced by M. Briane, A. Damlamian and P. Donato in [1]. We give then some examples to illustrate this result. |
| first_indexed | 2024-12-12T05:05:18Z |
| format | Article |
| id | doaj.art-6b42357cb7334bdd82e8ab010802584d |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T05:05:18Z |
| publishDate | 1999-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-6b42357cb7334bdd82e8ab010802584d2022-12-22T00:37:07ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911999-10-01199941111Homogenization of linearized elasticity systems with traction condition in perforated domainsMohamed El HajjiIn this paper, we study the asymptotic behavior of the linearized elasticity system with nonhomogeneous traction condition in perforated domains. To do that, we use the $H_e^0$-convergence introduced by M. El Hajji in [4] which generalizes - in the case of the linearized elasticity system - the notion of $H^0$-convergence introduced by M. Briane, A. Damlamian and P. Donato in [1]. We give then some examples to illustrate this result.http://ejde.math.txstate.edu/Volumes/1999/41/abstr.htmlHomogenizationElasticity$H_e^0$-convergenceDouble periodicity. |
| spellingShingle | Mohamed El Hajji Homogenization of linearized elasticity systems with traction condition in perforated domains Electronic Journal of Differential Equations Homogenization Elasticity $H_e^0$-convergence Double periodicity. |
| title | Homogenization of linearized elasticity systems with traction condition in perforated domains |
| title_full | Homogenization of linearized elasticity systems with traction condition in perforated domains |
| title_fullStr | Homogenization of linearized elasticity systems with traction condition in perforated domains |
| title_full_unstemmed | Homogenization of linearized elasticity systems with traction condition in perforated domains |
| title_short | Homogenization of linearized elasticity systems with traction condition in perforated domains |
| title_sort | homogenization of linearized elasticity systems with traction condition in perforated domains |
| topic | Homogenization Elasticity $H_e^0$-convergence Double periodicity. |
| url | http://ejde.math.txstate.edu/Volumes/1999/41/abstr.html |
| work_keys_str_mv | AT mohamedelhajji homogenizationoflinearizedelasticitysystemswithtractionconditioninperforateddomains |