Nonsmooth dynamic frictional contact of a thermoviscoelastic body

Stanisław Migórski (1) , Anna Ochal (2) , Meir Shillor (3) , Mircea Sofonea (4)

1 UJ - Uniwersytet Jagielloński w Krakowie = Jagiellonian University
2 Institute of Computer Science [Krakow]
3 Oakland University
4 LAMPS - LAboratoire de Modélisation Pluridisciplinaire et Simulations

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.

Domaines: Mathématiques [math]

Stanisław Migórski, Anna Ochal, Meir Shillor, Mircea Sofonea. Nonsmooth dynamic frictional contact of a thermoviscoelastic body. Applicable Analysis, 2017, pp.1 - 20. ⟨10.1080/00036811.2017.1344227⟩. ⟨hal-01627012⟩