Adaptive FEM computation of forming processes—Application to porous and non‐porous materials

This paper presents the ‘flow formulation’ approach applicable to both compressible and incompressible forming analysis. Appropriate error estimates and adaptive remeshing schemes are described for updated co-ordinate analysis. Several numerical examples are given. These are backward-forward extrusion and thermally coupled extrusion of pore-free materials, followed by cylinder upsetting, and tapered die extrusion of porous materials. The simulation of the deformation is shown as well as the distribution of effective strain and density at different time stages. The procedures are automatic and are incorporated in a general purpose code FEMMETA.

[1]  O. C. Zienkiewicz,et al.  A note on localization phenomena and adaptive finite‐element analysis in forming processes , 1990 .

[2]  O. C. Zienkiewicz,et al.  Error estimates and convergence rates for various incompressible elements , 1989 .

[3]  O. Zienkiewicz,et al.  Analysis of the Zienkiewicz–Zhu a‐posteriori error estimator in the finite element method , 1989 .

[4]  T. Clyne,et al.  Extrusion and high-temperature deformation of fibre-reinforced aluminium , 1989 .

[5]  E. Oñate,et al.  Finite element analysis of sheet metal forming problems using a viscous voided shell formulation , 1988 .

[6]  O. C. Zienkiewicz,et al.  Error estimation and adaptivity in flow formulation for forming problems , 1988 .

[7]  M. Abouaf,et al.  Finite element simulation of hot isostatic pressing of metal powders , 1988 .

[8]  O. C. Zienkiewicz,et al.  Error Control, Mesh Updating Schemes and Automatic Adaptive Remeshing for Finite Element Analysis of Unsteady Extrusion Processes , 1988 .

[9]  O. C. Zienkiewicz,et al.  Adaptive remeshing for compressible flow computations , 1987 .

[10]  O. C. Zienkiewicz,et al.  A simple error estimator and adaptive procedure for practical engineerng analysis , 1987 .

[11]  K. Osakada,et al.  Analysis of the forming process of sintered powder metals by a rigid-plastic finite-element method , 1987 .

[12]  P. L. Charpentier,et al.  Characterization and modeling of the high temperature flow behavior of aluminum alloy 2024 , 1986 .

[13]  J. K. Lee,et al.  A study of the extrusion of sintered porous metal , 1985 .

[14]  Y. Im,et al.  FINITE-ELEMENT ANALYSIS OF PLASTIC DEFORMATION OF POROUS MATERIALS , 1985 .

[15]  Susumu Shima,et al.  Consideration of basic equations, and their application, in the forming of metal powders and porous metals , 1978 .

[16]  Susumu Shima,et al.  Plasticity theory for porous metals , 1976 .

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