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A viscoelastic contact problem with normal damped response and friction

100%

Awbi B., Essoufi E. H., Sofonea M.

Annales Polonici Mathematici

2000

tom 75

nr 3

233-246

We study an evolution problem which describes the quasistatic contact of a viscoelastic body with a foundation. We model the contact with normal damped response and a local friction law. We derive a variational formulation of the model and we establish the existence of a unique weak solution to the problem. The proof is based on monotone operators and fixed point arguments. We also establish the continuous dependence of the solution on the contact boundary conditions.

Analysis and numerical approximation of an elastic frictional contact problem with normal compliance

100%

Han W., Sofonea M.

Applicationes Mathematicae

1999

tom 26

nr 4

415-435

We consider the problem of frictional contact between an elastic body and an obstacle. The elastic constitutive law is assumed to be nonlinear. The contact is modeled with normal compliance and the associated version of Coulomb's law of dry friction. We present two alternative yet equivalent weak formulations of the problem, and establish existence and uniqueness results for both formulations using arguments of elliptic variational inequalities and fixed point theory. Moreover, we show the continuous dependence of the solution on the contact conditions. We also study the finite element approximations of the problem and derive error estimates. Finally, we introduce an iterative method to solve the resulting finite element system.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Applicationes Mathematicae

2 Sofonea M.

1 Awbi B.

1 Essoufi E. H.

1 Han W.

1 2000

1 1999

Wyniki wyszukiwania

A viscoelastic contact problem with normal damped response and friction

Analysis and numerical approximation of an elastic frictional contact problem with normal compliance