Modeling of large deformation frictional contact in powder compaction processes

Abstract In this paper, the computational aspects of large deformation frictional contact are presented in powder forming processes. The influence of powder–tool friction on the mechanical properties of the final product is investigated in pressing metal powders. A general formulation of continuum model is developed for frictional contact and the computational algorithm is presented for analyzing the phenomena. It is particularly concerned with the numerical modeling of frictional contact between a rigid tool and a deformable material. The finite element approach adopted is characterized by the use of penalty approach in which a plasticity theory of friction is incorporated to simulate sliding resistance at the powder–tool interface. The constitutive relations for friction are derived from a Coulomb friction law. The frictional contact formulation is performed within the framework of large FE deformation in order to predict the non-uniform relative density distribution during large deformation of powder die pressing. A double-surface cap plasticity model is employed together with the nonlinear contact friction behavior in numerical simulation of powder material. Finally, the numerical schemes are examined for efficiency and accuracy in modeling of several powder compaction processes.

[1]  Brian J. Briscoe,et al.  The internal form of compacted ceramic components: a comparison of a finite element modelling with experiment , 1996 .

[2]  J. C. Simo,et al.  A perturbed Lagrangian formulation for the finite element solution of contact problems , 1985 .

[3]  Amir R. Khoei,et al.  Numerical simulation of 3D powder compaction processes using cone-cap plasticity theory , 2005 .

[4]  W. Brekelmans,et al.  AN EULERIAN APPROACH FOR DIE COMPACTION PROCESSES , 1991 .

[5]  Jung-Ho Cheng,et al.  Forging simulation of sintered powder compacts under various frictional conditions , 2002 .

[6]  Lallit Anand,et al.  Constitutive equations for metal powders: application to powder forming processes , 2001 .

[7]  A. Khoei Computational Plasticity in Powder Forming Processes , 2005 .

[8]  Amir R. Khoei,et al.  A hypoelasto-plastic finite strain simulation of powder compaction processes with density-dependent endochronic model , 2004 .

[9]  Christian Geindreau,et al.  High Pressure Triaxial Cell for Metal Powder , 1995 .

[10]  R. Taylor,et al.  A mixed formulation for the finite element solution of contact problems , 1992 .

[11]  Exploration of die wall friction for powder compaction using a discrete finite element modelling technique , 2001 .

[12]  Roland W. Lewis,et al.  Adaptive finite element remeshing in a large deformation analysis of metal powder forming , 1999 .

[13]  K. Mori,et al.  Microscopic approach of powder compaction using finite element method , 1999 .

[14]  Amir R. Khoei,et al.  A single cone-cap plasticity with an isotropic hardening rule for powder materials , 2005 .

[15]  P. Beiss,et al.  Friction measurements during powder compaction , 1991 .

[16]  Norman A. Fleck,et al.  On the cold compaction of powders , 1995 .

[17]  K. T. Kim,et al.  Effect of friction between powder and a mandrel on densification of iron powder during cold isostatic pressing , 1998 .

[18]  A. Curnier,et al.  Large deformation frictional contact mechanics: continuum formulation and augmented Lagrangian treatment , 1999 .

[19]  G. Bfer,et al.  An isoparametric joint/interface element for finite element analysis , 1985 .

[20]  O. C. Zienkiewicz,et al.  A note on numerical computation of elastic contact problems , 1975 .

[21]  P.M.S.T. de Castro,et al.  Interface element including point‐to‐surface constraints for three‐dimensional problems with damage propagation , 2000 .

[22]  J. J. Anza,et al.  A mixed finite element model for the elastic contact problem , 1989 .

[23]  D. Owen,et al.  Computational model for 3‐D contact problems with friction based on the penalty method , 1992 .

[24]  R. Lewis,et al.  A three‐invariant hardening plasticity for numerical simulation of powder forming processes via the arbitrary Lagrangian–Eulerian FE model , 2006 .

[25]  Anil Chaudhary,et al.  A solution method for static and dynamic analysis of three-dimensional contact problems with friction , 1986 .

[26]  P. Sofronis,et al.  Calculation of a constitutive potential for isostatic powder compaction , 2002 .

[27]  Peter Wriggers,et al.  A note on tangent stiffness for fully nonlinear contact problems , 1985 .

[28]  Roland W. Lewis,et al.  A plasticity model for metal powder forming processes , 2001 .

[29]  I. C. Sinka,et al.  The effect of wall friction in the compaction of pharmaceutical tablets with curved faces: a validation study of the Drucker–Prager Cap model , 2003 .

[30]  Hans-Åke Häggblad,et al.  Modelling and simulation of metal powder die pressing with use of explicit time integration , 1994 .

[31]  A. Curnier,et al.  A finite element method for a class of contact-impact problems , 1976 .

[32]  Larsgunnar Nilsson,et al.  A constitutive model for compaction of granular media, with account for deformation induced anisotropy , 1999 .

[33]  A. Khoei,et al.  A density-dependent endochronic plasticity for powder compaction processes , 2004 .

[34]  Roland W. Lewis,et al.  Powder compaction modelling via the discrete and finite element method , 2000 .

[35]  A. Khoei Numerical simulation of powder compaction processes using an inelastic finite element analysis , 2002 .

[36]  Ki-tae Kim,et al.  A Densification Model for Mixed Metal Powder Under Cold Compaction , 2001 .

[37]  J. C. Simo,et al.  An augmented lagrangian treatment of contact problems involving friction , 1992 .

[38]  Roland W. Lewis,et al.  Finite element simulation for dynamic large elastoplastic deformation in metal powder forming , 1998 .

[39]  D. Zhang,et al.  Statistics of particle interactions in dense granular material under uniaxial compression , 2006 .

[40]  H. Parisch A consistent tangent stiffness matrix for three‐dimensional non‐linear contact analysis , 1989 .

[41]  Massood Mofid,et al.  An endochronic plasticity model for finite strain deformation of powder forming processes , 2003 .