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Modeling of hot isostatic pressing of metal powder with temperature–dependent cap plasticity model

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Abstract

In this paper, the coupled thermo–mechanical simulation of hot isostatic pressing (HIPing) is presented for metal powders during densification process. The densification of powder is assumed to occur due to plastic hardening of metal particles. The constitutive model developed is used to describe the nonlinear behavior of metal powder. The numerical modeling of hot powder compaction simulation is performed based on the large deformation formulation, powder plasticity behavior, and frictional contact algorithm. A Lagrangian finite element formulation is employed for the large powder deformations. A modified cap plasticity model considering temperature effects is used in numerical simulation of nonlinear powder behavior. The influence of powder-tool friction is simulated by the use of penalty approach in which a plasticity theory of friction is incorporated to model sliding resistance at the powder-tool interface. Finally, numerical examples are analyzed to demonstrate the feasibility of the proposed thermo–mechanical simulation using the modified cap plasticity model in the hot isostatic forming process of powder compaction.

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References

  1. Jinka AGK, Lewis RW (1994) Finite element simulation of hot isostatic pressing of metal powders. Comp Meth Appl Mech Eng 114:249–272

    Article  Google Scholar 

  2. Svoboda A, Haggblad HA, Nasstrom M (1996) Simulation of hot isostatic pressing of metal powder components to near net shape. Eng Comput 13:13–37

    Article  MATH  Google Scholar 

  3. Jinka AGK, Bellet M, Fourment L (1997) A new 3D finite element model for the simulation of powder forging processes: application to hot forming of PM connecting rod. Int J Numer Meth Eng 40:3955–3978

    Article  MATH  Google Scholar 

  4. Li WB, Ashby MF, Easterling KE (1987) On densification and shape change during hot isostatic pressing. Acta Metall 35:2831–2842

    Article  Google Scholar 

  5. Kim KT, Jeon YC (1997) Densification behavior of 316 L stainless steel powder under high temperature. International Workshop on Modelling of Metal Powder Forming Processes, Grenoble, pp 77–86

    Google Scholar 

  6. Mori K, Shiomi M, Osakada K (1998) Inclusion of microscopic rotation of powder particles during compaction in finite element method using Cosserat continuum theory. Int J Numer Meth Eng 42:847–856

    Article  MATH  Google Scholar 

  7. Ransing RS, Gethin DT, Khoei AR, Mosbah P, Lewis RW (2000) Powder compaction modelling via the discrete and finite element method. Mater Des 21:263–269

    Article  Google Scholar 

  8. Martin CL, Bouvard D, Shima S (2003) Study of particle rearrangement during powder compaction by the discrete element method. J Mech Phys Solid 51:667–693

    Article  MATH  Google Scholar 

  9. Skrinjar O, Larsson PL (2004) On discrete element modeling of compaction of powders with size ratio. Comput Mater Sci 31:131–146

    Article  Google Scholar 

  10. Antony SJ, Momoh RO, Kuhn MR (2004) Micromechanical modeling of oval particulates subjected to bi-axial compression. Comput Mater Sci 29:494–498

    Article  Google Scholar 

  11. Lewis RW, Gethin DT, Yang XS, Rowe RC (2005) A combined finite-discrete element method for simulating pharmaceutical powder tableting. Int J Numer Meth Eng 62:853–869

    Article  MATH  Google Scholar 

  12. Khoei AR, Lewis RW (1998) Finite element simulation for dynamic large elasto-plastic deformation in metal powder forming. Finite Elem Anal Des 30:335–352

    Article  MATH  Google Scholar 

  13. Brandt J, Nilsson L (1999) A constitutive model for compaction of granular media, with account for deformation induced anisotropy. Mech Cohes Frict Mater 4:391–418

    Article  Google Scholar 

  14. Gasik M, Zhang B (2000) A constitutive model and FE simulation for the sintering process of powder compacts. Comput Mater Sci 18:93–101

    Article  Google Scholar 

  15. Gu C, Kim M, Anand L (2001) Constitutive equations for metal powders: application to powder forming processes. Int J Plast 17:147–209

    Article  MATH  Google Scholar 

  16. Lewis RW, Khoei AR (2001) A plasticity model for metal powder forming processes. Int J Plast 17:1659–1692

    Article  MATH  Google Scholar 

  17. Chtourou H, Gakwaya A, Guillot M (2002) Modeling of the metal powder compaction process using the cap model. Part II: Numerical implementation and practical applications. Int J Solid Struct 39:1077–1096

    Article  Google Scholar 

  18. Sinka IC, Cunningham JC, Zavaliangos A (2004) Analysis of tablet compaction. II. Finite element analysis of density distributions in convex tablets. J Pharmacol Sci 93:2040–2053

    Article  Google Scholar 

  19. Bier W, Hartmann S (2006) A finite strain constitutive model for metal powder compaction using a unique and convex single surface yield function. Eur J Mech A/Solids 25:1009–1030

    Article  MATH  Google Scholar 

  20. Khoei AR, Azami AR, Anahid M, Lewis RW (2006) A three-invariant hardening plasticity for numerical simulation of powder forming processes via the arbitrary Lagrangian–Eulerian FE model. Int J Numer Meth Eng 66:843–877

    Article  MATH  Google Scholar 

  21. Khoei AR, Shamloo A, Azami AR (2006) Extended finite element method in plasticity forming of powder compaction with contact friction. Int J Solid Struct 43:5421–5448

    Article  MATH  Google Scholar 

  22. Khoei AR, Samimi M, Azami AR (2007) Reproducing kernel particle method in plasticity of pressure-sensitive material with reference to powder forming process. Comput Mech 39:247–270

    Article  MATH  Google Scholar 

  23. Khoei AR, Azami AR (2005) A single cone-cap plasticity with an isotropic hardening rule for powder materials. Int J Mech Sci 47:94–109

    Article  MATH  Google Scholar 

  24. Khoei AR, DorMohammadi H (2007) A three-invariant cap plasticity with isotropic-kinematic hardening rule for powder materials: model assessment and parameter calibration. Comput Mater Sci 41:1–12

    Article  Google Scholar 

  25. Khoei AR, Anahid M, Shahim K, DorMohammadi H (2008) Arbitrary Lagrangian–Eulerian method in plasticity of pressure-sensitive material with reference to powder forming process. Comput Mech 42:13–38

    Article  MATH  Google Scholar 

  26. Benabbes A, Dormieux L, Siad L (2008) An estimate of the macroscopic yield surfaces of powder compacts using the kinematic approach of the yield design theory. Int J Mater Form 1:53–56

    Article  Google Scholar 

  27. Frost HJ, Ashby MF (1982) Deformation-mechanism maps: the plasticity and creep of metals and ceramics. Pergamon Press, Oxford

    Google Scholar 

  28. Khoei AR, Lewis RW, Zienkiewicz OC (1997) Application of the finite element method for localized failure analysis in dynamic loading. Finite Elem Anal Des 27:121–131

    Article  MATH  Google Scholar 

  29. Keshavaz SH, Khoei AR, Khaloo AR (2008) Contact friction simulation in powder compaction process based on the penalty approach. Mater Des 29:1199–1211

    Article  Google Scholar 

  30. Khoei AR, Biabanaki SOR, Vafa AR, Yadegaran I, Keshavarz SH (2009) A new computational algorithm for contact friction modeling of large plastic deformation in powder compaction processes. Int J Solids Struct 46:287–310

    Article  MATH  Google Scholar 

  31. Khoei AR, Biabanaki SOR, Vafa AR, Taheri-Mousavi SM (2009) A new computational algorithm for 3D contact modelling of large plastic deformation in powder forming processes. Comput Mater Sci 46:203–220

    Article  Google Scholar 

  32. Khoei AR, Biabanaki SOR, Taheri-Mousavi SM, Vafa AR, Parvaneh SM (2011) 3D contact modelling of large plastic deformation in powder forming processes. Int J Mater Form. doi:10.1007/s12289-011-1026-y

  33. Doremus P, Geindreau C, Martin A, Debove L, Lecot R, Dao M (1995) High pressure triaxial cell for metal powder. Powder Metall 38:284–287

    Google Scholar 

  34. Khoei AR, Azizi S (2004) Numerical simulation of 3D powder compaction processes using cone-cap plasticity theory. Mater Des 26:137–147

    Article  Google Scholar 

  35. Khoei AR (2002) Numerical simulation of powder compaction processes using an inelastic finite element analysis. Mater Des 23:523–529

    Article  Google Scholar 

  36. Shen WM, Kimura T, Takita K, Hosono K (2001) Numerical simulation of powder transfer and compaction based on continuum model. Theory, Methods and Applications, Simulation of Materials Processing, pp 1027–1032

    Google Scholar 

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Authors and Affiliations

  1. Center of Excellence in Structures and Earthquake Engineering, Department of Civil Engineering, Sharif University of Technology, P.O. Box. 11365–9313, Tehran, Iran

    A. R. Khoei, Z. Molaeinia & Sh. Keshavarz

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  1. A. R. Khoei
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  2. Z. Molaeinia
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  3. Sh. Keshavarz
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Correspondence to A. R. Khoei.

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Khoei, A.R., Molaeinia, Z. & Keshavarz, S. Modeling of hot isostatic pressing of metal powder with temperature–dependent cap plasticity model. Int J Mater Form 6, 363–376 (2013). https://doi.org/10.1007/s12289-012-1091-x

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  • DOI: https://doi.org/10.1007/s12289-012-1091-x

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