Dynamic contact with Signorini's condition and slip rate dependent friction
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 con- tact 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.
Kuttler K. and Shillor M. (2004). Dynamic contact with Signorini's condition and slip rate dependent friction. Electronic Journal of Differential Equations, 83, 1-21.
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