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Volume 16,     Number 2,     Summer 2008

 

A QUASISTATIC BILATERAL CONTACT
PROBLEM WITH ADHESION FOR ELASTIC
MATERIALS
AREZKI TOUZALINE

Abstract. We consider a quasistatic bilateral contact problem between a linear elastic body and a foundation. The contact is modelled with Tresca's friction law in which the adhesion of the contact surfaces is taken into account. The evolution of the bonding field is discribed by a first order differential equation. We establish a variational formulation of the mechanical problem and prove an existence result of the weak solution. The proofs employ a time-discretization method, compactness, lower semicontinuity arguments and differential equations.

 

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