%0 Journal Article %T On the solvability of dynamic elastic-visco-plastic contact problems with adhesion %A Jiri Jarusek %A Mircea Sofonea %J Mathematics and its Applications : Annals of the Academy of Romanian Scientists %D 2010 %I Academy of Romanian Scientists Publishing House %X We consider a dynamic contact problem between an elastic-viscoplasticbody and an obstacle, the so-called foundation. The contactis frictionless and is modelled with normal compliance of such a typethat the penetration is restricted with unilateral constraint. The adhesion of contact surfaces is taken into account and the evolution of the bonding field is described by a first-order differential equation. We provide a weak formulation of the contact problem in the form of an integro-differential system in which the unknowns are the displacement, the stress and the bonding fields, then we present an existence result for the solution. We consider a sequence of penalized problems which have a unique solution, derive a priori estimates and use compactness properties to obtain a solution to the original model, by passing to the limit as the penalization parameter converges to zero. %K elastic-visco-plastic material %K dynamic process %K frictionless contact %K normal compliance %K Signorini condition %K adhesion %K variational formulation %K weak solution %K a priori estimates %U http://www.mathematics-and-its-applications.com/preview/january/data/5_sofonea.pdf