Mathematical analysis and homogenization of the torsion problem
In this paper we address the limitations of the classical formulation of the torsion problem and give a self-contained survey of the function spaces and formulations that are more suitable for analysing the torsional behavior of composite materials. We also prove some homogenization results for the...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/637035 |
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| _version_ | 1832552098856697856 |
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| author | Dag Lukkassen Annette Meidell Peter Wall |
| author_facet | Dag Lukkassen Annette Meidell Peter Wall |
| author_sort | Dag Lukkassen |
| collection | DOAJ |
| description | In this paper we address the limitations of the classical formulation of the torsion problem and give a self-contained survey of the function spaces and formulations that are more suitable for analysing the torsional behavior of composite materials. We also prove some homogenization results for the torsion problem in both the periodic and stochastic setting. Our theoretical results are illustrated by numerical examples. |
| format | Article |
| id | doaj-art-c6071db9ed2f461cbc3cf16b9ea2cceb |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-c6071db9ed2f461cbc3cf16b9ea2cceb2025-02-03T05:59:33ZengWileyJournal of Function Spaces and Applications0972-68022008-01-016215517610.1155/2008/637035Mathematical analysis and homogenization of the torsion problemDag Lukkassen0Annette Meidell1Peter Wall2Narvik University College, N-8505 Narvik, NorwayNorut Narvik, P.O. Box 250, N-8504 Narvik, NorwayDepartment of Mathematics, Luleå University of Technology, SE-971 87 Luleå, SwedenIn this paper we address the limitations of the classical formulation of the torsion problem and give a self-contained survey of the function spaces and formulations that are more suitable for analysing the torsional behavior of composite materials. We also prove some homogenization results for the torsion problem in both the periodic and stochastic setting. Our theoretical results are illustrated by numerical examples.http://dx.doi.org/10.1155/2008/637035 |
| spellingShingle | Dag Lukkassen Annette Meidell Peter Wall Mathematical analysis and homogenization of the torsion problem Journal of Function Spaces and Applications |
| title | Mathematical analysis and homogenization of the torsion problem |
| title_full | Mathematical analysis and homogenization of the torsion problem |
| title_fullStr | Mathematical analysis and homogenization of the torsion problem |
| title_full_unstemmed | Mathematical analysis and homogenization of the torsion problem |
| title_short | Mathematical analysis and homogenization of the torsion problem |
| title_sort | mathematical analysis and homogenization of the torsion problem |
| url | http://dx.doi.org/10.1155/2008/637035 |
| work_keys_str_mv | AT daglukkassen mathematicalanalysisandhomogenizationofthetorsionproblem AT annettemeidell mathematicalanalysisandhomogenizationofthetorsionproblem AT peterwall mathematicalanalysisandhomogenizationofthetorsionproblem |