A class of thermal sub-differential contact problems
We study a class of dynamic sub-differential contact problems with friction, and thermale ects, for time depending long memory visco-elastic materials, with or without the clamped condition.We describe the mechanical problem, derive its variational formulation, and after specifyingthe assumptions on...
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| Format: | Article |
| Language: | English |
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AIMS Press
2017-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/10.3934/Math.2017.4.658/fulltext.html |
| _version_ | 1819144145281744896 |
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| author | Oanh Chau |
| author_facet | Oanh Chau |
| author_sort | Oanh Chau |
| collection | DOAJ |
| description | We study a class of dynamic sub-differential contact problems with friction, and thermale ects, for time depending long memory visco-elastic materials, with or without the clamped condition.We describe the mechanical problem, derive its variational formulation, and after specifyingthe assumptions on the data and operators, we prove an existence and uniqueness of weak solutionon displacement and temperature fields. Then we present a fully discrete scheme for numerical approximationsof the different solutions, and provide analysis of error order estimates. Finally variousnumerical computations in dimension two will be given. |
| first_indexed | 2024-12-22T12:37:29Z |
| format | Article |
| id | doaj.art-7e77b955d04f4255a80cb78123ce187c |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-22T12:37:29Z |
| publishDate | 2017-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-7e77b955d04f4255a80cb78123ce187c2022-12-21T18:25:32ZengAIMS PressAIMS Mathematics2473-69882017-12-012465868110.3934/Math.2017.4.658A class of thermal sub-differential contact problemsOanh Chau0Université de La Réunion, Département de Mathématiques, BP 7151, 15 Avenue René Cassin, 97715 Saint Denis Messag, cedex 09, La Réunion, FranceWe study a class of dynamic sub-differential contact problems with friction, and thermale ects, for time depending long memory visco-elastic materials, with or without the clamped condition.We describe the mechanical problem, derive its variational formulation, and after specifyingthe assumptions on the data and operators, we prove an existence and uniqueness of weak solutionon displacement and temperature fields. Then we present a fully discrete scheme for numerical approximationsof the different solutions, and provide analysis of error order estimates. Finally variousnumerical computations in dimension two will be given.http://www.aimspress.com/article/10.3934/Math.2017.4.658/fulltext.htmltime depending thermo-visco-elasticity| sub-differential contact condition| non clamped condition| evolution variational inequality| numerical analysis| numerical computations |
| spellingShingle | Oanh Chau A class of thermal sub-differential contact problems AIMS Mathematics time depending thermo-visco-elasticity| sub-differential contact condition| non clamped condition| evolution variational inequality| numerical analysis| numerical computations |
| title | A class of thermal sub-differential contact problems |
| title_full | A class of thermal sub-differential contact problems |
| title_fullStr | A class of thermal sub-differential contact problems |
| title_full_unstemmed | A class of thermal sub-differential contact problems |
| title_short | A class of thermal sub-differential contact problems |
| title_sort | class of thermal sub differential contact problems |
| topic | time depending thermo-visco-elasticity| sub-differential contact condition| non clamped condition| evolution variational inequality| numerical analysis| numerical computations |
| url | http://www.aimspress.com/article/10.3934/Math.2017.4.658/fulltext.html |
| work_keys_str_mv | AT oanhchau aclassofthermalsubdifferentialcontactproblems AT oanhchau classofthermalsubdifferentialcontactproblems |