A new formulation is presented for the three-dimensional incremental quasi-static problems with unilateral frictional contact. Under the assumptions of small rotations and small strains, a second-order cone linear complementarity problem is formulated, which consists of complementarity conditions defined by bilinear functions and second-order cone constraints. The equilibrium configurations are obtained by using a combined smoothing and regularization method for the second-order cone complementarity problem.
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Kanno et al. (2005) studied this question.
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