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Three-dimensional quasi-static frictional contact by using second-order cone linear complementarity problem

Y. Kanno (kanno***at***archi.kyoto-u.ac.jp)
J.A.C. Martins (jmartins***at***civil.ist.utl.pt)
A. Pinto da Costa (apcosta***at***civil.ist.utl.pt)

Abstract: 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 omplementarity Problem (SOCLCP) is formulated, which consists of complementarity conditions defined by the bilinear functions and the second-order cone constraints. The equilibrium configurations are obtained by using a combined smoothing and regularization method for the second-order cone complementarity problem.

Keywords: contact problem; Coulomb friction; second-order cone; complementarity problem; symmetric cone

Category 1: Applications -- Science and Engineering (Mechanical Engineering )

Category 2: Complementarity and Variational Inequalities

Category 3: Linear, Cone and Semidefinite Programming (Second-Order Cone Programming )

Citation: International Journal for Numerical MEthods in Engineering, 65 (2006) 62-83.

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Entry Submitted: 04/21/2004
Entry Accepted: 04/21/2004
Entry Last Modified: 12/20/2005

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