Hemivariational inequality for viscoelastic contact problem|
with slip dependent friction
S. Migórski, migorski(at)softlab.ii.uj.edu.pl
A. Ochal, ochal(at)softlab.ii.uj.edu.pl
Jagiellonian University, Institute of Computer Science, Nawojki 11, 30-072 Cracow, Poland
Abstract: In this paper we consider a class of hyperbolic hemivariational inequalities modeling the frictional contact between a viscoelastic body and a rigid foundation. The friction law is described by a multivalued subdifferential relation which includes the slip displacement dependent friction and the Tresca models. We establish the existence of weak solutions to the problem by using a surjectivity result for pseudomonotone mappings.
Keywords: Hemivariational inequality, friction, viscoelasicity, slip, subdifferential, contact problem, nonconvex.
Published: Nonlinear Analysis, Theory Methods and Applications, 61, (2005), 135-161.