Review of formulations for elastostatic frictional contact problems

By A. Mijar, Jasbir S. Arora. 2000

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A new algorithm for numerical solution of 3D elastoplastic contact problems with orthotropic friction law (2004, background): “There are much more literatures on elastic contact problems than on elastoplastic contact problems, for the former, see the papers ( Mijar and Arora, 2000; Stavroulakis and Antes, 2000; Christensen et al., 1998; Wriggers, 1995) and the references therein.”
Three‐dimensional quasi‐static frictional contact by using second‐order cone linear complementarity problem (2006, background): “Various mathematical formulations [2, 3, 1], as well as numerical approaches [5, 4], have been proposed for finite-dimensional frictional contact problems.”
Applying Nagata patches to smooth discretized surfaces used in 3D frictional contact problems (2014, methodology): “Typically the unilateral contact law is formulated with the aid of the following three relationships, known as the Karush–Kuhn–Tucker conditions [46]:”