A mixed variational formulation of a contact problem with adhesion. Issue 8 (11th June 2018)

• Record Type: Journal Article
• Authors: Pătrulescu, Flavius
• Is Part Of: Applicable analysis. Volume 97:Issue 8(2018)
• Page Start: 1246
• Page End: 1260
• Publication Date: 2018-06-11
• Subjects: Variational formulation -- frictional contact -- normal compliance -- unilateral constraint -- adhesion; 74M10 -- 74M15 -- 74G25 -- 74G30 -- 49J40; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2016.1166213
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : A mathematical model describing the contact between a viscoplastic body and a deformable foundation is analyzed under small deformation hypotheses. The process is quasistatic and in normal direction the contact is with adhesion, normal compliance, memory effects and unilateral constraint. We derive a mixed-variational formulation of the problem using Lagrange multipliers. Finally, we prove the unique weak solvability of the contact problem.