A frictional contact problem for an electro-viscoelastic body
dc.contributor.author | Lerguet, Zhor | |
dc.contributor.author | Shillor, Meir | |
dc.contributor.author | Sofonea, Mircea | |
dc.date.accessioned | 2021-08-19T13:28:33Z | |
dc.date.available | 2021-08-19T13:28:33Z | |
dc.date.issued | 2007-12-04 | |
dc.description.abstract | A 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.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 16 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Lerguet, 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. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14384 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Piezoelectric | |
dc.subject | Frictional contact | |
dc.subject | Normal compliance | |
dc.subject | Fixed point | |
dc.subject | Variational inequality | |
dc.title | A frictional contact problem for an electro-viscoelastic body | |
dc.type | Article |