A mathematical formulation of a Linear Complementarity Problem (LCP) is
presented for the 3D mixed beam-solid contact problem with the
Mohr-Coulomb friction. The contact problems arising from the pile base
and shaft are of linear and nonlinear complementarity problems,
respectively. First, the latter is transformed into two LCPs, and then,
all the LCPs are recast into a system of Fischer-Burmeister functions.
Therefore, the mixed beam-solid contact problem can be solved by
Newton’s method. The proposed method is validated by the numerical
examples of a pile under axial compressive and tensile loads, which
clearly shows that the numerical results are in good agreement with the
field test results.