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dc.contributor.authorEssoufi, El-Hassan ( Orcid Icon 0000-0003-1563-2871 )
dc.contributor.authorAlaoui, Mohammed ( )
dc.contributor.authorBouallala, Mustapha ( )
dc.date.accessioned2021-10-13T19:32:41Z
dc.date.available2021-10-13T19:32:41Z
dc.date.issued2019-01-10
dc.identifier.citationEssoufi, E. H., Alaoui, M., & Bouallala, M. (2019). Quasistatic thermo-electro-viscoelastic contact problem with Signorini and Tresca's friction. Electronic Journal of Differential Equations, 2019(05), pp. 1-21.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14648
dc.description.abstractIn this article we consider a mathematical model that describes the quasi-static process of contact between a thermo-electro-viscoelastic body and a conductive foundation. The constitutive law is assumed to be linear thermo-electro-elastic and the process is quasistatic. The contact is modelled with a Signiorini's condition and the friction with Tresca's law. The boundary conditions of the electric field and thermal conductivity are assumed to be non linear. First, we establish the existence and uniqueness result of the weak solution of the model. The proofs are based on arguments of time-dependent variational inequalities, Galerkin's method and fixed point theorem. Also we study a associated penalized problem. Then we prove its unique solvability as well as the convergence of its solution to the solution of the original problem, as the penalization parameter tends to zero.en_US
dc.formatText
dc.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectThermo-piezo-electricen_US
dc.subjectTresca's frictionen_US
dc.subjectSignorini's conditionen_US
dc.subjectVariational inequalityen_US
dc.subjectBanach fixed pointen_US
dc.subjectFaedo-Galerkin methoden_US
dc.subjectCompactness methoden_US
dc.subjectPenalty methoden_US
dc.titleQuasistatic thermo-electro-viscoelastic contact problem with Signorini and Tresca's frictionen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


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