Lerguet, ZhorShillor, MeirSofonea, Mircea2021-08-192021-08-192007-12-04Lerguet, 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. 1-16.1072-6691https://hdl.handle.net/10877/14384A 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.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalPiezoelectricFrictional contactNormal complianceFixed pointVariational inequalityArticle