An overview of numerical modelling techniques
Résumé
The mechanical equations for large deformations occurring in metal forming processes are recalled. The finite element approaches for viscoplastic or for elastic viscoplastic materials are presented briefly. Different forms of the virtual work equation for viscoplastic or elastoplastic materials, in dynamic or quasi-static processes, are reviewed. The finite element discretisation is summarised and different time integration schemes are analysed, using a compact symbolic notation. The problem of meshing, remeshing and ALE formulation is mentioned and the space-time finite element method is briefly compared with the more classical approaches.