Dynamic contact with Signorini's condition and slip rate dependent friction
Southwest Texas State University, Department of Mathematics
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.
Dynamic contact, Signorini condition, Slip rate dependent friction, Nonlocal friction, Viscoelastic body, Existence
Kuttler, K., & Shillor, M. (2004). Dynamic contact with Signorini's condition and slip rate dependent friction. <i>Electronic Journal of Differential Equations, 2004</i>(83), pp. 1-21.
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