A dynamic prictionless contact problem with adhesion and damage

• Autorzy: Selmani M. , Selmani L.
• Języki publikacji: EN

Abstrakty

EN

We consider a dynamic frictionless contact problem for a viscoelastic material with damage. The contact is modeled with normal compliance condition. The adhesion of the contact surfaces is considered and is modeled with a surface variable, the bonding field, whose evolution is described by a first order differential equation. We establish a variational formulation for the problem and prove the existence and uniqueness of the solution. The proofs are based on the theory of evolution equations with monotone operators, a classical existence and uniqueness result for parabolic inequalities, and fixed point arguments.

Słowa kluczowe

EN

dynamic process; viscoelastic material with damage; adhesion; weak solution; ordinary differential equation; fixed point

PL

proces dynamiczny; adhezja; rozwiązanie słabe; równanie różniczkowe zwyczajne; punkt stały

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: Vol. 55, no 1
• Strony: 17--34
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Selmani M.

autor

Selmani L.

• Department of Mathematics, University of Setif, 19000 Setif, Algeria,

Bibliografia

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