Abstract
We consider a mathematical model describing the quasistatic frictional contact between an electro-elasto-viscoplastic body and an adhesive conductive foundation. The contact is described with a normal compliance condition with adhesion, the associated general version of Coulomb's law of dry friction in which the adhesion of contact surfaces is taken into account and a regularized electrical conductivity condition. The existence of a unique weak solution is established under smallness assumption on the surface conductance. The proof is based on arguments of time-dependent variational inequalities, differential equations and Banach fixed point theorem.
Citation
Mohamed Selmani. Lynda Selmani. "On a frictional contact problem with adhesion in piezoelectricity." Bull. Belg. Math. Soc. Simon Stevin 23 (2) 263 - 284, may 2016. https://doi.org/10.36045/bbms/1464710118
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