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dc.contributor.authorTouzaline, Arezki ( )
dc.date.accessioned2021-08-19T17:22:11Z
dc.date.available2021-08-19T17:22:11Z
dc.date.issued2007-12-12
dc.identifier.citationTouzaline, A. (2007). Frictionless contact problem with adhesion for nonlinear elastic materials. Electronic Journal of Differential Equations, 2007(174), pp. 1-13.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14393
dc.description.abstractWe consider a quasistatic frictionless contact problem for a nonlinear elastic body. The contact is modelled with Signorini's conditions. In this problem we take into account of the adhesion which is modelled with a surface variable, the bonding field, whose evolution is described by a first order differential equation. We derive a variational formulation of the mechanical problem and we establish an existence and uniqueness result by using arguments of time-dependent variational inequalities, differential equations and Banach fixed point. Moreover, we prove that the solution of the Signorini contact problem can be obtained as the limit of the solution of a penalized problem as the penalization parameter converges to 0.en_US
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectNonlinear elasticityen_US
dc.subjectAdhesive contacten_US
dc.subjectFrictionlessen_US
dc.subjectVariational inequalityen_US
dc.subjectWeak solutionen_US
dc.titleFrictionless contact problem with adhesion for nonlinear elastic materialsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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