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.accessioned2016-03-30T16:58:04Z
dc.date.available2016-03-30T16:58:04Z
dc.date.issued2007-12
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.identifier.citationLerguet Z., Shillor M., and Sofonea M. (2007). A frictional contact problem for an electro-viscoelastic body. Electronic Journal of Differential Equations, 2007(170), 1-16.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttp://hdl.handle.net/10323/4220
dc.language.isoen_USen_US
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.typeArticleen_US

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