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A frictionless contact problem for elastic-viscoplastic materials with internal state variable

100%

Selmani L.

Applicationes Mathematicae

2013

tom 40

nr 1

1-20

We study a mathematical model for frictionless contact between an elastic-viscoplastic body and a foundation. We model the material with a general elastic-viscoplastic constitutive law with internal state variable and the contact with a normal compliance condition. We derive a variational formulation of the model. We establish existence and uniqueness of a weak solution, using general results on first order nonlinear evolution equations with monotone operators and fixed point arguments. Finally, we study the dependence of the solution on perturbations of contact conditions and prove a convergence result.

A Dynamic Frictionless Contact Problem with Adhesion and Damage

63%

Selmani M., Selmani L.

Bulletin of the Polish Academy of Sciences. Mathematics

2007

tom 55

nr 1

17-34

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.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Bulletin of the Polish Academy of Sciences. Mathematics

2 Selmani L.

1 Selmani M.

1 2013

1 2007

Wyniki wyszukiwania

A frictionless contact problem for elastic-viscoplastic materials with internal state variable

A Dynamic Frictionless Contact Problem with Adhesion and Damage