摘要

Multi-point forming (MPF) is a flexible manufacturing technique for three-dimensional sheet metal forming. The deformation of material and contact boundary in multi-point forming processes are very different from those in traditional stamping processes. In this paper, an incremental displacement approach on the basis of updated Lagrangian formulation and elastic-plastic material model for finite element simulation of MPF process is described. An effective algorithm for the integration of stresses is introduced. The multi-point, discontinuous contact interface between sheet and tools is modelled with contact finite element based on the penalty method and on the Coulomb non-classical friction law of elastic-plastic formalism. An integration algorithm of the frictional contact constitutive equations is derived. Forming processes of sheet metal are analyzed by using a new finite element code developed by the authors. The results of numerical examples show good general coincidence with those of the experiments and explicit/elastoplastic analysis reported in the literature. Two representative examples of application in MPF are also presented in order to show the applicability of the algorithm. © 2004 Elsevier B.V.