Dynamic contact with Signorini's condition and slip rate dependent friction
MetadataShow full metadata
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.
CitationKuttler, K., & Shillor, M. (2004). Dynamic contact with Signorini's condition and slip rate dependent friction. Electronic Journal of Differential Equations, 2004(83), pp. 1-21.
This work is licensed under a Creative Commons Attribution 4.0 International License.