A frictional contact problem for an electro-viscoelastic body

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dc.contributor.authorLerguet, Zhor
dc.contributor.authorShillor, Meir
dc.contributor.authorSofonea, Mircea
dc.date.accessioned2021-08-19T13:28:33Z
dc.date.available2021-08-19T13:28:33Z
dc.date.issued2007-12-04
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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLerguet, Z., Shillor, M., & Sofonea, M. (2007). A frictional contact problem for an electro-viscoelastic body. <i>Electronic Journal of Differential Equations, 2007</i>(170), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14384
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectPiezoelectric
dc.subjectFrictional contact
dc.subjectNormal compliance
dc.subjectFixed point
dc.subjectVariational inequality
dc.titleA frictional contact problem for an electro-viscoelastic bodyen_US
dc.typeArticle

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