%0 Journal Article %T A HISTORY-DEPENDENT CONTACT PROBLEM WITH UNILATERAL CONSTRAINT %A ANCA FARCAS %A FLAVIUS PATRULESCU %A MIRCEA SOFONEA %J Mathematics and its Applications : Annals of the Academy of Romanian Scientists %D 2012 %I Academy of Romanian Scientists Publishing House %X We consider a mathematical model which describes the quasistaticcontact between a viscoplastic body and a foundation. The contactis frictionless and is modelled with a new and nonstandard conditionwhich involves both normal compliance, unilateral constraint and memoryeffects. We derive a variational formulation of the problem thenwe prove its unique weak solvability. The proof is based on argumentson history-dependent variational inequalities. %K viscoplastic material %K frictionless contact %K unilateral constraint %K history-depdendent variational inequality %K weak solution %U http://www.mathematics-and-its-applications.com/preview/iun2012/data/06_sofonea%206%20pag.pdf