%0 Journal Article
%T Dynamic contact with Signorini's condition and slip rate dependent friction
%A Kenneth Kuttler
%A Meir Shillor
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X Existence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a slip rate dependent friction coefficient and a nonlocal and regularized contact stress. The existence in the case of a friction coefficient that is a graph, which describes the jump from static to dynamic friction, is established, too. The proofs employ the theory of set-valued pseudomonotone operators applied to approximate problems and a priori estimates.
%K Dynamic contact
%K Signorini condition
%K slip rate dependent friction
%K nonlocal friction
%K viscoelastic body
%K existence.
%U http://ejde.math.txstate.edu/Volumes/2004/83/abstr.html