A quasistatic viscoplastic contact problem with normal compliance, unilateral constraint, memory term and friction. (February 2017)

• Record Type: Journal Article
• Authors: Kulig, Anna
• Is Part Of: Nonlinear analysis. Volume 33(2017)
• Page Start: 226
• Page End: 236
• Publication Date: 2017-02
• Subjects: Viscoplasticity -- Hemivariational inequality -- Normal compliance -- Subdifferential -- Contact problem -- Friction; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.06.007
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: The goal of this paper is to deal with a mathematical model which describes the quasistatic frictional contact between a viscoplastic body and a foundation. The contact is modeled with normal compliance, unilateral constraint and memory term. We present the classical formulation of the problem together with the list of assumptions on the data. Then we derive the variational–hemivariational formulation of the model and we prove its unique weak solvability. The proof is based on a recent abstract result of a class of history-dependent variational–hemivariational inequalities.