Geodesic
A unilateral contact problem with slip-dependent friction
Arezki Touzaline1
1 Faculté de Mathématiques, USTHB Laboratoire de Systèmes Dynamiques BP 32 El Alia Bab-Ezzouar, 16111, Algeria
Applicationes Mathematicae, Tome 43 (2016) no. 1, pp. 105-116

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider a mathematical model which describes a static contact between a nonlinear elastic body and an obstacle. The contact is modelled with Signorini's conditions, associated with a slip-dependent version of Coulomb's nonlocal friction law. We derive a variational formulation and prove its unique weak solvability. We also study the finite element approximation of the problem and obtain an optimal error estimate under extra regularity for the solution. Finally, we establish the convergence of an iterative method to the finite element problem.
DOI : 10.4064/am2258-11-2015
Keywords: consider mathematical model which describes static contact between nonlinear elastic body obstacle contact modelled signorinis conditions associated slip dependent version coulombs nonlocal friction law derive variational formulation prove its unique weak solvability study finite element approximation problem obtain optimal error estimate under extra regularity solution finally establish convergence iterative method finite element problem

Arezki Touzaline 1

1 Faculté de Mathématiques, USTHB Laboratoire de Systèmes Dynamiques BP 32 El Alia Bab-Ezzouar, 16111, Algeria 
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Arezki Touzaline. A unilateral contact problem with slip-dependent friction. Applicationes Mathematicae, Tome 43 (2016) no. 1, pp. 105-116. doi: 10.4064/am2258-11-2015

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