A quasistatic contact problem with unilateral constraint and slip-dependent friction

• Autorzy: Arezki Touzaline
• Języki publikacji: EN

Abstrakty

EN

We consider a mathematical model of a quasistatic contact between an elastic body and an obstacle. The contact is modelled with unilateral constraint and normal compliance, associated to a version of Coulomb's law of dry friction where the coefficient of friction depends on the slip displacement. We present a weak formulation of the problem and establish an existence result. The proofs employ a time-discretization method, compactness and lower semicontinuity arguments.

Kategorie tematyczne

• 47J20: Variational and other types of inequalities involving nonlinear operators (general)
• 74M15: Contact
• 49J40: Variational methods including variational inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2015
• Tom: 42
• Numer: 2-3
• Strony: 167-182

Daty

wydano

2015

Twórcy

autor

Arezki Touzaline

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

Identyfikatory

DOI

10.4064/am42-2-4