A Viscoelastic Frictionless Contact Problem with Adhesion

• Autorzy: Arezki Touzaline
• Języki publikacji: EN

Abstrakty

EN

We consider a mathematical model which describes the equilibrium between a viscoelastic body in frictionless contact with an obstacle. The contact is modelled with normal compliance, associated with Signorini's conditions and adhesion. The adhesion is modelled with a surface variable, the bonding field, whose evolution is described by a first-order differential equation. We establish a variational formulation of the mechanical problem and prove the existence and uniqueness of the weak solution. The proof is based on arguments of evolution equations with multivalued maximal monotone operators, differential equations and the Banach fixed point theorem.

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: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2015
• Tom: 63
• Numer: 1
• Strony: 53-66

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/ba63-1-7