Analysis of a contact adhesive problem with normal compliance and nonlocal friction

• Autorzy: Arezki Touzaline
• Języki publikacji: EN

Abstrakty

EN

The paper deals with the problem of a quasistatic frictional contact between a nonlinear elastic body and a deformable foundation. The contact is modelled by a normal compliance condition in such a way that the penetration is restricted with a unilateral constraint and associated to the nonlocal friction law with adhesion. The evolution of the bonding field is described by a first-order differential equation. We establish a variational formulation of the mechanical problem and prove an existence and uniqueness result under a smallness assumption on the friction coefficient by using arguments of time-dependent variational inequalities, differential equations and the Banach fixed-point theorem.

Kategorie tematyczne

• 74H20: Existence of solutions
• 74M15: Contact
• 74M10: Friction
• 35J87: Nonlinear elliptic unilateral problems and nonlinear elliptic variational inequalities
• 49J40: Variational methods including variational inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 104
• Numer: 2
• Strony: 175-188

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/ap104-2-5