Study of a contact problem with normal compliance and nonlocal friction

• Autorzy: Arezki Touzaline
• Języki publikacji: EN

Abstrakty

EN

We consider a static frictional contact between a nonlinear elastic body and a foundation. The contact is modelled by a normal compliance condition such that the penetration is restricted with unilateral constraint and associated to the nonlocal friction law. We derive a variational formulation and prove its unique weak solvability if the friction coefficient is sufficiently small. Moreover, we prove the continuous dependence of the solution on the contact conditions. Also we study the finite element approximation of the problem and obtain an error estimate.

Kategorie tematyczne

• 74M15: Contact
• 74M10: Friction
• 49J40: Variational methods including variational inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2012
• Tom: 39
• Numer: 1
• Strony: 43-55

Daty

wydano

2012

Twórcy

autor

Arezki Touzaline

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

Identyfikatory

DOI

10.4064/am39-1-3