Analysis of a dynamic thermo-elastic-viscoplastic contact problem
We consider a dynamic frictionless contact problem for thermo-elastic-viscoplastic materials with damage and adhesion. The contact is modeled with normal compliance condition. We derive a weak formulation of the system, then we prove existence and uniqueness of the solution. The proof is based on ar...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2013-12-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2451 |
| _version_ | 1797830649983270912 |
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| author | Abdelaziz Azeb Ahmed Souraya Boutechebak |
| author_facet | Abdelaziz Azeb Ahmed Souraya Boutechebak |
| author_sort | Abdelaziz Azeb Ahmed |
| collection | DOAJ |
| description | We consider a dynamic frictionless contact problem for thermo-elastic-viscoplastic materials with damage and adhesion. The contact is modeled with normal compliance condition. We derive a weak formulation of the system, then we prove existence and uniqueness of the solution. The proof is based on arguments of monotonicity and fixed point. |
| first_indexed | 2024-04-09T13:39:27Z |
| format | Article |
| id | doaj.art-6d20ac24b37e46648f98c9f12fb10186 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:27Z |
| publishDate | 2013-12-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-6d20ac24b37e46648f98c9f12fb101862023-05-09T07:53:03ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752013-12-0120137111710.14232/ejqtde.2013.1.712451Analysis of a dynamic thermo-elastic-viscoplastic contact problemAbdelaziz Azeb Ahmed0Souraya Boutechebak1Department of Mathematics & Computer Science, Faculty of Science and Technology University of El Oued, El Oued, Algeria Department of Mathematics, University of Setif1, Setif 19000, AlgeriaWe consider a dynamic frictionless contact problem for thermo-elastic-viscoplastic materials with damage and adhesion. The contact is modeled with normal compliance condition. We derive a weak formulation of the system, then we prove existence and uniqueness of the solution. The proof is based on arguments of monotonicity and fixed point.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2451dynamic processdamage field; adhesion fieldtemperaturethermo-eldynamic process; damage field; adhesion field; temperature; thermo-elastic-viscoplastic; variational inequality; fixed-point |
| spellingShingle | Abdelaziz Azeb Ahmed Souraya Boutechebak Analysis of a dynamic thermo-elastic-viscoplastic contact problem Electronic Journal of Qualitative Theory of Differential Equations dynamic process damage field; adhesion field temperature thermo-eldynamic process; damage field; adhesion field; temperature; thermo-elastic-viscoplastic; variational inequality; fixed-point |
| title | Analysis of a dynamic thermo-elastic-viscoplastic contact problem |
| title_full | Analysis of a dynamic thermo-elastic-viscoplastic contact problem |
| title_fullStr | Analysis of a dynamic thermo-elastic-viscoplastic contact problem |
| title_full_unstemmed | Analysis of a dynamic thermo-elastic-viscoplastic contact problem |
| title_short | Analysis of a dynamic thermo-elastic-viscoplastic contact problem |
| title_sort | analysis of a dynamic thermo elastic viscoplastic contact problem |
| topic | dynamic process damage field; adhesion field temperature thermo-eldynamic process; damage field; adhesion field; temperature; thermo-elastic-viscoplastic; variational inequality; fixed-point |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2451 |
| work_keys_str_mv | AT abdelazizazebahmed analysisofadynamicthermoelasticviscoplasticcontactproblem AT sourayaboutechebak analysisofadynamicthermoelasticviscoplasticcontactproblem |