Nonsmooth dynamic frictional contact of a thermoviscoelastic body. Issue 8 (11th June 2018)

• Record Type: Journal Article
• Authors: Migórski, Stanisław; Ochal, Anna; Shillor, Meir; Sofonea, Mircea
• Is Part Of: Applicable analysis. Volume 97:Issue 8(2018)
• Page Start: 1228
• Page End: 1245
• Publication Date: 2018-06-11
• Subjects: Hemivariational inequality -- Clarke subdifferential -- thermoviscoelastic material -- frictional heat generation -- evolutionary inclusion -- existence; 47J20 -- 74H20 -- 47J22 -- 49J40 -- 74M15 -- 74M10 -- 35L85 -- 35K85; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1344227
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract: This paper studies a system of two hemivariational inequalities modeling a dynamic thermoviscoelastic contact problem with general nonmonotone and multivalued subdifferential boundary conditions. Thermal effects are included in the Kelvin–Voigt thermoviscoelastic constitutive law and in the boundary conditions, and so in frictional heat generation, which takes place on the boundary and enters the condition for the temperature. The existence of a weak solution to the problem is established using a recent surjectivity result for differential inclusions associated with pseudomonotone operators.