3D FEM simulation of stationary metal forming processes with applications to slitting and rolling

A computational method is presented for the 3D FEM simulation of stationary metal forming processes. The described method has been applied to model the slitting and shape rolling processes. Some results of these simulations are given, which show that the ALE formulation used is suitable for the simulation of such processes. In the ALE formulation the grid displacement is independent of the material displacement. Therefore, the displacement of the nodes has to be defined such that the movement of the free surfaces can be followed (mesh management) and the values of the state variables have to be calculated at the new nodal positions (transfer of state variables). Both topics are addressed in this paper. Also the possibility of modelling stationary crack propagation is treated.

[1]  D. Benson.  An efficient, accurate, simple ALE method for nonlinear finite element programs , 1989 .

[2]  L. E. Malvern.  Introduction to the mechanics of a continuous medium , 1969 .

[3]  John S. Campbell,et al.  Local and global smoothing of discontinuous finite element functions using a least squares method , 1974 .

[4]  G. J. Creus,et al.  Simulation of 3D metal-forming using an arbitrary Lagrangian–Eulerian finite element method , 2001 .

[5]  Mohamed S. Gadala,et al.  Simulation of metal forming processes with finite element methods , 1999 .

[6]  Eduardo N. Dvorkin,et al.  AN EFFECTIVE TECHNIQUE FOR MODELLING 2D METAL FORMING PROCESSES USING AN EULERIAN FORMULATION , 1993 .

[7]  J. Huetink,et al.  Progress in mixed Eulerian-Lagrangian finite element simulation of forming processes , 1990 .

[8]  J. Huetink,et al.  A Mixed Eulerian-Lagrangian Finite Element Method For Simulation Of Thermo-Mechanical Forming Processes , 1988 .

[9]  Wing Kam Liu,et al.  Lagrangian-Eulerian finite element formulation for incompressible viscous flows☆ , 1981 .

[10]  D. Benson.  A mixture theory for contact in multi-material Eulerian formulations , 1997 .

[11]  Ted Belytschko,et al.  Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua , 1988 .

[12]  J. Huetink,et al.  A combined eulerian-lagrangian three-dimensional finite-element analysis of edge-rolling , 1985 .

[13]  J. Huétink,et al.  Simulation of materials processing : theory, methods and applications : Proceedings of the Sixth International Conference on Numerical Methods in Industrial Forming Processes - NUMIFORM '98, Enschede, Netherlands, 22-25 June 1998 , 1998 .

[14]  P.J.G. Schreurs,et al.  Simulation of forming processes, using the arbitrary Eulerian Lagrangian formulation , 1986 .

[15]  H. C. Stoker,et al.  Developments of the arbitrary lagrangian-eulerian method in non-linear solid mechanics applications to forming processes , 1999 .

[16]  D Dirk Brokken,et al.  Numerical modelling of ductile fracture in blanking , 1999 .

[17]  J. Halleux,et al.  An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions , 1982 .

[18]  H. H. Wisselink,et al.  Analysis of guillotining and slitting, finite element simulations , 2000 .

[19]  Mohamed S. Gadala,et al.  Formulation and survey of ALE method in nonlinear solid mechanics , 1997 .

[20]  Comparison of artificial dissipation and limited flux schemes in Arbitrary Lagrangian-Eulerian finite element formulations , 1998 .

[21]  Frank P. T. Baaijems.  An U-ALE formulation of 3-D unsteady viscoelastic flow , 1993 .