Analysis of electroelastic frictionless contact problems with adhesion
We consider two quasistatic frictionless contact problems for piezoelectric bodies. For the first problem the contact is modelled with Signorini's conditions and for the second one is modelled with normal compliance. In both problems the material's behavior is electroelastic and the adhesi...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/JAM/2006/64217 |
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| _version_ | 1832549983293800448 |
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| author | Mircea Sofonea Rachid Arhab Raafat Tarraf |
| author_facet | Mircea Sofonea Rachid Arhab Raafat Tarraf |
| author_sort | Mircea Sofonea |
| collection | DOAJ |
| description | We consider two quasistatic frictionless contact problems for
piezoelectric bodies. For the first problem the contact is
modelled with Signorini's conditions and for the second one is
modelled with normal compliance. In both problems the material's
behavior is electroelastic and the adhesion of the contact
surfaces is taken into account and is modelled with a surface
variable, the bonding field. We provide variational formulations
for the problems and prove the existence of a unique weak solution
to each model. The proofs are based on arguments of time-dependent
variational inequalities, differential equations, and fixed point.
Moreover, we prove that the solution of the Signorini contact
problem can be obtained as the limit of the solution of the
contact problem with normal compliance as the stiffness
coefficient of the foundation converges to infinity. |
| format | Article |
| id | doaj-art-313c72874ede41408fc1e1b1f8f98b47 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-313c72874ede41408fc1e1b1f8f98b472025-02-03T06:07:56ZengWileyJournal of Applied Mathematics1110-757X1687-00422006-01-01200610.1155/JAM/2006/6421764217Analysis of electroelastic frictionless contact problems with adhesionMircea Sofonea0Rachid Arhab1Raafat Tarraf2Laboratoire de Mathématiques et Physique pour les Systèmes, Université de Perpignan, 52 avenue Paul Alduy, Perpignan 66860, FranceLaboratoire de Mathématiques et Physique pour les Systèmes, Université de Perpignan, 52 avenue Paul Alduy, Perpignan 66860, FranceLaboratoire de Mathématiques et Physique pour les Systèmes, Université de Perpignan, 52 avenue Paul Alduy, Perpignan 66860, FranceWe consider two quasistatic frictionless contact problems for piezoelectric bodies. For the first problem the contact is modelled with Signorini's conditions and for the second one is modelled with normal compliance. In both problems the material's behavior is electroelastic and the adhesion of the contact surfaces is taken into account and is modelled with a surface variable, the bonding field. We provide variational formulations for the problems and prove the existence of a unique weak solution to each model. The proofs are based on arguments of time-dependent variational inequalities, differential equations, and fixed point. Moreover, we prove that the solution of the Signorini contact problem can be obtained as the limit of the solution of the contact problem with normal compliance as the stiffness coefficient of the foundation converges to infinity.http://dx.doi.org/10.1155/JAM/2006/64217 |
| spellingShingle | Mircea Sofonea Rachid Arhab Raafat Tarraf Analysis of electroelastic frictionless contact problems with adhesion Journal of Applied Mathematics |
| title | Analysis of electroelastic frictionless contact problems with
adhesion |
| title_full | Analysis of electroelastic frictionless contact problems with
adhesion |
| title_fullStr | Analysis of electroelastic frictionless contact problems with
adhesion |
| title_full_unstemmed | Analysis of electroelastic frictionless contact problems with
adhesion |
| title_short | Analysis of electroelastic frictionless contact problems with
adhesion |
| title_sort | analysis of electroelastic frictionless contact problems with adhesion |
| url | http://dx.doi.org/10.1155/JAM/2006/64217 |
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