NUMERICAL MODELING AND SIMULATION OF FRICTIONAL CONTACT USING A GENERALISED COULOMB LAW

A consistent formulation for unilateral contact problems including fri ctional work hardening or softening is proposed. The approach is based on an augmented Lagrangian approach coupled to an implicit quasi-stat ic Finite Element Method. Analogous to classical work hardening theory in elasto-plasticity, the frictional work is chosen as the internal v ariable for formulating the evolution of the friction convex. In order to facilitate the implementation of a wide range of phenomenologial m odels, the friction coefficient is defined in a parametrised form in t erms of Bernstein polynomials. Numerical simulation of a 3D deep-drawi ng operation demonstrates the performance of the methods for predictin g frictional contact phenomena in the case of large sliding paths incl uding high curvatures.