A penalized viscoplastic contact problem with unilateral constraints


In this paper we study a mathematical model which describes the quasistatic contact between a viscoplastic body and a foundation. The contact is frictionless and is modelled with a new and nonstandard condition which involves both normal compliance, unilateral constraint and memory effects. We present a penalization method in the study of this problem. We start by introducing the penalized problem, then we prove its unique solvability as well as the convergence of its solution to the solution of the original problem, as the penalization parameter converges to zero


Flavius Patrulescu
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

Anca Farcaş
(Babeş-Bolyai University Faculty of Mathematics and Computer Sciences)

Ahmad Ramadan
(Laboratoire de Mathématiques et Physique, Université de Perpignan)


viscoplastic material; frictionless contact; unilateral constraint; weak solution

Cite this paper as:

F. Pătrulescu, A. Farcaş, A Ramadan, A penalized viscoplastic contact problem with unilateral constraints, Annals of the University of Bucharest – mathematical series, vol. 4 (LXII), no. 1 (2013), pp. 213-227


About this paper

Publisher Name

Editura Universitatii din Bucuresti, Bucuresti

Print ISSN


Online ISSN





Related Posts