Elastic contact problem with Coulomb friction and normal compliance in Orlicz spaces. (February 2019)

• Record Type: Journal Article
• Authors: Pączka, Dariusz
• Is Part Of: Nonlinear analysis. Volume 45(2019)
• Page Start: 97
• Page End: 115
• Publication Date: 2019-02
• Subjects: Elastic materials -- Frictional contact -- Variational–hemivariational inequality -- Pseudomonotone operator -- Orlicz space; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.06.009
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: A static contact problem for inhomogeneous elastic materials is studied with a non-polynomial growth of the elasticity under the Coulomb's law of dry friction and the normal compliance condition. We demonstrate the results on existence and uniqueness of a solution to an abstract subdifferential inclusion and a variational–hemivariational inequality in the reflexive Orlicz–Sobolev space which are applied to the static elastic frictional problem.