CONJUGATE-GRADIENT BASED PROJECTION - A NEW EXPLICIT COMPUTATIONAL METHODOLOGY FOR FRICTIONAL CONTACT PROBLEMS

With special attention towards the applicability to parallel computati on or vectorization, a new and effective explicit computational approa ch for linear complementary formulations involving a conjugate gradien t based projection methodology is proposed in this study for contact p roblems with Coulomb friction. The overall objectives are focused towa rds providing an explicit methodology of computation for the complete contact problem with friction. In this regard, the primary idea for so lving the linear complementary formulations stems from an established search direction which is projected to a feasible region determined by the non-negative constraint condition; this direction is then applied to the Fletcher-Reeves conjugate gradient method resulting in a power ful explicit methodology which possesses high accuracy, excellent conv ergence characteristics, fast computational speed and is relatively si mple to implement for contact problems involving Coulomb friction. Num erical test cases are also included to demonstrate the proposed method ology for contact problems with friction.