A unilateral contact problem with slip-dependent friction

• Autorzy: Arezki Touzaline
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 74B20: Nonlinear elasticity
• 74M15: Contact
• 49J40: Variational methods including variational inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2016
• Tom: 43
• Numer: 1
• Strony: 105-116

Daty

wydano

2016

Twórcy

autor

Arezki Touzaline

• Faculté de Mathématiques, USTHB, Laboratoire de Systèmes Dynamiques, BP 32 El Alia, Bab-Ezzouar, 16111, Algeria

Identyfikatory

DOI

10.4064/am2258-11-2015