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

  • Y. Kanno
  • J.A.C. Martins
  • A. Pinto da Costa
    • Categories Complementarity and Variational Inequalities, Mechanical Engineering, Second-Order Cone Programming Short URL: https://optimization-online.org/?p=9522

    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.

    Citation

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