A quasistatic unilateral and frictional contact problem with adhesion for elastic materials

• Autorzy: Arezki Touzaline
• Języki publikacji: EN

Abstrakty

EN

We consider a quasistatic contact problem between a linear elastic body and a foundation. The contact is modelled with the Signorini condition and the associated non-local Coulomb friction law in which the adhesion of the contact surfaces is taken into account. The evolution of the bonding field is described by a first order differential equation. We derive a variational formulation of the mechanical problem and prove existence of a weak solution if the friction coefficient is sufficiently small. The proofs employ a time-discretization method, compactness and lower semicontinuity arguments, differential equations and the Banach fixed point theorem.

Kategorie tematyczne

• 47J20: Variational and other types of inequalities involving nonlinear operators (general)
• 74M15: Contact
• 74M10: Friction
• 49J40: Variational methods including variational inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2009
• Tom: 36
• Numer: 1
• Strony: 107-127

Daty

wydano

2009

Twórcy

autor

Arezki Touzaline

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

Identyfikatory

DOI

10.4064/am36-1-8