%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