Stability analysis of stationary variational and hemivariational inequalities with applications. (December 2019)

• Record Type: Journal Article
• Authors: Han, Weimin; Li, Yi
• Is Part Of: Nonlinear analysis. Volume 50(2019)
• Page Start: 171
• Page End: 191
• Publication Date: 2019-12
• Subjects: Variational inequality -- Hemivariational inequality -- Variational-hemivariational inequality -- Stability -- Contact mechanics; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2019.04.009
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we provide a comprehensive stability analysis for stationary variational inequalities, hemivariational inequalities, and variational-hemivariational inequalities. With contact mechanics as application background, stability is analyzed for solutions with respect to combined or separate perturbations in constitutive relations, external forces, constraints, and non-smooth contact boundary conditions of the inequality problems. The stability result is first proved for a general variational-hemivariational inequality. Then, stability results are obtained for various variational inequalities and hemivariational inequalities as special cases. Finally, we illustrate applications of the theoretical results for the stability analysis of model problems in contact mechanics.