Large displacement dynamic analysis with frictional contact by linear complementarity formulation

The linear complementarity formulation used for 2-D frictional contact conditions is combined with the method of a large displacement nonlinear dynamic analysis. The solution procedure is based on the total Lagrangian formulation and a single step time integration with a predictor and corrector scheme. For contact searching, a hierarchical scheme with a circular territory is used. Impact time and positions are detected using a second-order approximation of displacements and the velocity discontinuities during impact are considered using an impact condition. The formulation is illustrated by means of three numerical examples.