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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 of a frictionless contact problem for elastic bodies

100%

Drabla S., Sofonea M., Teniou B.

Annales Polonici Mathematici

1998

tom 69

nr 1

75-88

This paper deals with a nonlinear problem modelling the contact between an elastic body and a rigid foundation. The elastic constitutive law is assumed to be nonlinear and the contact is modelled by the well-known Signorini conditions. Two weak formulations of the model are presented and existence and uniqueness results are established using classical arguments of elliptic variational inequalities. Some equivalence results are presented and a strong convergence result involving a penalized problem is also proved.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Sofonea M.

1 Awbi B.

1 Drabla S.

1 Essoufi E. H.

1 Teniou B.

1 2000

1 1998

Wyniki wyszukiwania

A viscoelastic contact problem with normal damped response and friction

Analysis of a frictionless contact problem for elastic bodies