A Dynamic Frictionless Contact Problem with Adhesion and Damage

• Autorzy: Mohamed Selmani , Lynda Selmani
• 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.

Kategorie tematyczne

• 74H20: Existence of solutions
• 35L70: Nonlinear second-order hyperbolic equations
• 74M15: Contact
• 74F25: Chemical and reactive effects

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 1
• Strony: 17-34

Daty

wydano

2007

Twórcy

autor

Mohamed Selmani

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

autor

Lynda Selmani

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

Identyfikatory

DOI

10.4064/ba55-1-3