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dc.contributor.authorLerguet, Zhor ( )
dc.contributor.authorShillor, Meir ( Orcid Icon 0000-0001-6811-9524 )
dc.contributor.authorSofonea, Mircea ( )
dc.date.accessioned2021-08-19T13:28:33Z
dc.date.available2021-08-19T13:28:33Z
dc.date.issued2007-12-04
dc.identifier.citationLerguet, Z., Shillor, M., & Sofonea, M. (2007). A frictional contact problem for an electro-viscoelastic body. Electronic Journal of Differential Equations, 2007(170), pp. 1-16.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14384
dc.description.abstractA mathematical model which describes the quasistatic frictional contact between a piezoelectric body and a deformable conductive foundation is studied. A nonlinear electro-viscoelastic constitutive law is used to model the piezoelectric material. Contact is described with the normal compliance condition, a version of Coulomb's law of dry friction, and a regularized electrical conductivity condition. A variational formulation of the model, in the form of a coupled system for the displacements and the electric potential, is derived. The existence of a unique weak solution of the model is established under a smallness assumption on the surface conductance. The proof is based on arguments of evolutionary variational inequalities and fixed points of operators.en_US
dc.formatText
dc.format.extent16 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.subjectPiezoelectricen_US
dc.subjectFrictional contacten_US
dc.subjectNormal complianceen_US
dc.subjectFixed pointen_US
dc.subjectVariational inequalityen_US
dc.titleA frictional contact problem for an electro-viscoelastic bodyen_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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