A Viscoelastic Frictionless Contact Problem with Adhesion

• Autorzy: Touzaline A.

Identyfikatory

DOI

10.4064/ba63-1-7

• 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.

Słowa kluczowe

EN

viscoelastic; adhesion; frictionless; fixed point; weak solution

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2015
• Tom: Vol. 63, no. 1
• Strony: 53--66
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Touzaline A.

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

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