Numerical simulation and experimental analysis of the sintered micro-parts using the powder injection molding process

  • M. Sahli
  • H. Djoudi
  • J.-C. Gelin
  • T. Barriere
  • M. Assoul
Technical Paper


This paper discusses in detail the development of numerical simulations capable of simulating structural evolution and macroscopic deformation during a powder injection molding process. A sintering model based on elastic-visco-plastic constitutive equations was proposed, and the corresponding parameters such as sintering stress, bulk and shearing viscosities were identified from dilatometer experimental data. As a complement to this experimental study, a finite element simulation of the sintering operation was performed. The simulations were based on constitutive equations identified from specific experiments performed for each blend at different sintering heating rates and loadings. Finally, the numerical analyses, performed on the 3D micro-structured components, allow the numerical predictions to be compared with experimental results of sintering stage. They show that the FE simulation results have better agreement with the experimental ones at high temperatures.


Compliance with ethical standards


This study was not funded by any Company.

Conflict of interest

All the authors have not received research grants, a speaker honorarium from any Company and own not stock in any Company. All the authors are not a member of any committee. OR if no conflict exists: The authors declare that they have no conflict of interest.


  1. Barriere T, Gelin J-C, Liu B (2002) Improving mould design and injection parameters in metal injection moulding by accurate 3D finite element simulation. J Mater Process Technol 125–126:518–524CrossRefGoogle Scholar
  2. Barriere T, Liu B, Gelin J-C (2003) Determination of the optimal process parameters in metal injection molding from experiments and numerical modeling. J Mater Process Technol 143–144:636–644CrossRefGoogle Scholar
  3. Belhadjhamida A, German RM (1993) A model calculation of the shrinkage dependence on rearrangement during liquid phase sintering. Adv Powder Metall Part Mater Metal Powder Ind Fed Princeton NJ 3:85–98Google Scholar
  4. Blendell JE, Coble RL (1978) Test by numerical simulation of applicability of steady state diffusion models in final stage sintering. Powder Metall Int 10:65–68Google Scholar
  5. Bleyan D, Hausnerova B, Svoboda P (2015) The development of powder injection moulding binders: a quantification of individual components’ interactions. Powder Technol 286:84–89CrossRefGoogle Scholar
  6. Bordia RK, Scherer GW (1988) On constrained sintering. I. Constitutive model for a sintering body. Acta Mater 36:2393–2397CrossRefGoogle Scholar
  7. Bricout J, Matheron P, Ablitzer C, Gelin J-C, Brothier M, Barriere T (2015) Evaluation of the feasibility of the powder injection moulding process for the fabrication of nuclear fuel and comparison of several formulations. Powder Technol 279:49–60CrossRefGoogle Scholar
  8. Bross P, Exner HE (1979) Computer simulation of sintering processes. Acta Metall 27:1013–1020CrossRefGoogle Scholar
  9. Chmielewski M, Kaliński D, Pietrzak K, Włosiński W (2010) Relationship between mixing conditions and properties of sintered 20AlN/80Cu compositematerials. Arch Metall Mater 55:579–585Google Scholar
  10. Chmielewski M, Dutkiewicz J, Kaliński D, Litynska-Dobrzynska L, Pietrzak K, Strojny-Nedza A (2012) Microstructure and properties of hot-pressed molybdenum-alumina composites. Arch Metall Mater 57:687–693CrossRefGoogle Scholar
  11. Choi J-P, Lee G-Y, Song J-I, Lee W-S, Lee J-S (2015) Sintering behavior of 316L stainless steel micro-nanopowder compact fabricated by powder injection molding. Powder Technol 279:196–202CrossRefGoogle Scholar
  12. Coble RL (1958) Initial sintering of alumina and hematite. J Am Ceram Soc 41:55–62CrossRefGoogle Scholar
  13. Coble RL (1961) Sintering of crystalline solids. I. Intermediate and final state diffusion models. J Appl Phys 32:787–792CrossRefGoogle Scholar
  14. Contreras JM, Jiménez-Morales A, Torralba JM (2009) Fabrication of bronze components by metal injection moulding using powders with different particle characteristics. J Mater Process Technol 209:5618–5625CrossRefGoogle Scholar
  15. Fu G, Loh NH, Tor SB, Murakoshi Y, Maeda R (2004) Replication of metal microstructures by micro powder injection moulding. Mater Des 25:729–733CrossRefGoogle Scholar
  16. Gasik M, Zhang B (2000) A constitutive model and FE simulation for the sintering process of powder compacts. Comput Mater Sci 18:93–101CrossRefGoogle Scholar
  17. German RM (1990) Powder injection molding. MPIF, PrincetonGoogle Scholar
  18. German RM (1997) The production of stainless steels by injection molding water atomized pre-alloy powders. J Inject Mold Technol 1:171–180Google Scholar
  19. German RM (2004) Green body homogeneity effects on sintered tolerances. Powder Metal 47:157–160CrossRefGoogle Scholar
  20. German RM, Bose A (1997) Injection molding of metals and ceramics. Metal Powder Industries Federation, Princeton, pp 99–132Google Scholar
  21. German RM, Lathrop JF (1978) Simulation of spherical powder sintering by surface diffusion. J Mater Sci 13:921–929CrossRefGoogle Scholar
  22. Han JS, Gal CW, Kim JH, Park SJ (2016) Fabrication of high-aspect-ratio micro piezoelectric array by powder injection molding. Ceram Int 42:9475–9481CrossRefGoogle Scholar
  23. He H, Li Y, Lou J, Li D, Lui C (2016) Prediction of density variation in powder injection moulding-filling process by using granular modelling with interstitial power-law fluid. Powder Technol 291:52–59CrossRefGoogle Scholar
  24. Heaney DF, Gurosik JD, Binetj C (2005) Isotropic forming of porous structures via metal injection moulding. J Mater Sci 40:973–981CrossRefGoogle Scholar
  25. Henrich B, Wonisch A, Kraft T, Moseler M, Riedel H (2007) Simulations of the influence of rearrangement during sintering. Acta Mater 55:753–762CrossRefGoogle Scholar
  26. Herring C (1951) Surface tension as a motivation for sintering. In: Kingston WE (ed) The physics of powder metallurgy. McGraw-Hill, New York, pp 143–179Google Scholar
  27. Hunt KN, Evans JRG, Woodthorpe J (1988) The influence of mixing route on the properties of ceramics injection molding blends. Br Ceram Trans 87:17–21Google Scholar
  28. Kadushnikov RM, Skorokhod VV, Lykova OB (1993) Computer simulation of the evolution of the microstructure of two-phase polydispersed materials during sintering. Powder Metall Metal Ceram 32:292–298CrossRefGoogle Scholar
  29. Kaliński D, Chmielewski M, Pietrzak K (2012) An influence of mechanical mixing and hot pressing on properties of NiAl/Al2O3 composite. Arch Metall Mater 57:694–702Google Scholar
  30. Kraft T, Riedel H (2004) Numerical simulation of solid state sintering: model and application. J Eur Ceram Soc 24:345–361CrossRefGoogle Scholar
  31. Kuczynski GC (1949) Self diffusion in sintering of metallic particles. Metal Trans 185:169–178Google Scholar
  32. Kuczynski GC (1956) The mechanics of densification during sintering ofmetallic particles. Acta Metall 4:58–61CrossRefGoogle Scholar
  33. Largiller G, Dong L, Bouvard D, Carry CP, Gabriel A (2012) Deformation and cracking during sintering of bimaterial components processed from ceramic and metal powder mixes. Part II: numerical simulation. Mech Mater 53:132–141CrossRefGoogle Scholar
  34. Lebib A, Chen Y, Bourneix J, Carcenac F, Cambril E, Couraud L, Launois H (1999) Nanoimprint lithography for a large area pattern replication. Microelectron Eng 46:319–322CrossRefGoogle Scholar
  35. Limberg W, Ebel T, Pyczak F, Oehring M, Schimansky FP (2012) Influence of the sintering atmosphere on the tensile properties of MIM-processed Ti 45Al 5Nb 0.2B 0.2C. Mater Sci Eng A 552:323–329CrossRefGoogle Scholar
  36. Loh NH, German RM (1996) Statistical analysis of shrinkage variation for powder injection molding. J Mater Process Technol 59:278–284CrossRefGoogle Scholar
  37. Martin S, Guessasma M, Léchelle J, Fortin J, Saleh K, Adenot F (2014) Simulation of sintering using a non smooth discrete element method. application to the study of rearrangement. Comput Mater Sci 84:31–39CrossRefGoogle Scholar
  38. McKenzie JK, Shuttleworth R (1949) A phenomenological theory of sintering. Proc Phys Soc B 62:833–852CrossRefGoogle Scholar
  39. Meng J, Loh NH, Fu G, Tay BY, Tor SB (2011) Micro powder injection moulding of alumina micro-channel part. J Eur Ceram Soc 31:1049–1056CrossRefGoogle Scholar
  40. Mohsin UI, Lager D, Hohenauer W, Gierl C, Danninger H (2012) Finite element sintering analysis of metal injection molded copper brown body using thermo-physical data and kinetics. Comput Mater Sci 53:6–11CrossRefGoogle Scholar
  41. Mukund BN, Hausnerova B, Shivashankar TS (2015) Development of 17-4PH stainless steel bimodal powder injection molding feedstock with the help of interparticle spacing/lubricating liquid concept. Powder Technol 283:24–31CrossRefGoogle Scholar
  42. Nor NHM, Muhamad N, Ihsan AKAM, Jamaludin KR (2013) Sintering parameter optimization of Ti-6Al-4 V metal injection molding for highest strength using palm stearin binder. Proc Eng 68:359–364CrossRefGoogle Scholar
  43. Nosewicz S, Rojek J, Pietrzak K, Chmielewski M (2013) Viscoelastic discrete element model of powder sintering. Powder Technol 246:157–168CrossRefGoogle Scholar
  44. Packianather M, Chan F, Griffiths C, Dimov S, Pham DT (2013) Optimisation of micro injection moulding process through design of experiments. Procedia CIRP 12:300–305CrossRefGoogle Scholar
  45. Packianather M, Griffiths C, Kadir W (2015) Micro injection moulding process parameter tuning. Procedia CIRP 33:400–405CrossRefGoogle Scholar
  46. Pan J (2003) Modelling sintering at different length scales. Int Mater Rev 2(17):69–85CrossRefGoogle Scholar
  47. Peterson A, Agren J (2004) Constitutive behavior of WC-Co materials with different grain size sintered under load. Acta Mater 52:1847–1858CrossRefGoogle Scholar
  48. Petzoldt F (2008) Micro powder injectionmoulding-challenges and opportunities. Powder Injec Mould Int 2:37–42Google Scholar
  49. Ramakrishnan N, Bhat TB, Arunachalam VS (1984) An analysis of pressure sintering by computer simulation. Acta Metall 32:357–370CrossRefGoogle Scholar
  50. Raza MR, Sulong AB, Muhamad N, Akhtar MN, Rajabi J (2015) Effects of binder system and processing parameters on formability of porous Ti/HA composite through powder injection molding. Mater Des 87:386–392CrossRefGoogle Scholar
  51. Reiterer M, Kraft T, Janosovits U, Riedel H (2004) Finite element simulation of cold isostatic pressing and sintering of SiC components. Ceram Int 30:177–183CrossRefGoogle Scholar
  52. Rosenzweig N, Narkis M (1981) Dimensional variations of two spherical polymeric particles during sintering. Polym Sci Eng 21:582–585CrossRefGoogle Scholar
  53. Ruprecht R, Gietzelt T, Müller K, Piotter V, Haußelt J (2002) Injection molding of microstructured components from plastics, metals and ceramics. Microsyst Technol 8:351–358CrossRefGoogle Scholar
  54. Scherer GW (1979) Sintering inhomogeneous glasses: application to optical waveguides. J Non-Cryst Solids 34:239–256CrossRefGoogle Scholar
  55. Schoenberg SE, Green DJ, Segall AE, Messing GL, Grader AS, Halleck PM (2006) Stresses and distorsion due to green density gradients during densification. J Am Ceram Soc 89:3027–3033CrossRefGoogle Scholar
  56. Sierra CM, Lee D (1988) Modeling of shrinkage during sintering of injection molded powder metal compacts. Powder Metall Int 20:28–33Google Scholar
  57. Song J, Gelin J-C, Barrière T (2006) Experiments and numerical modelling of solid state sintering for 316 L stainless steel components. J Mater Proc Tech 177:352–355CrossRefGoogle Scholar
  58. Song J, Barriere T, Liu B, Gelin JC, Michel G (2010) Experimental and numerical analysis on sintering behaviours of injection moulded components in 316L stainless steel powders. Powder Metall 53:295–304CrossRefGoogle Scholar
  59. Takahashi Y, Ueno F, Nishiguchi K (1988) A numerical analysis of the void shrinkage process controlled by surface diffusion. Acta Metall 36:3007–3018CrossRefGoogle Scholar
  60. Tay BY, Liu L, Loh NH, Tor SB, Murakoshi Y, Maeda R (2006) Characterization of metallic micro rod arrays fabricated by _MIM. Mater Char 57:80–85CrossRefGoogle Scholar
  61. Tikare V, Braginsky M, Bouvard D, Vagnon A (2010) Numerical simulation of microstructural evolution during sintering at the mesoscale in a 3D powder compact. Comput Mater Sci 48:317–325CrossRefGoogle Scholar
  62. Weglewski W, Basista M, Chmielewski M, Pietrzak K (2012) Modelling of thermally induced damage in the processing of Cr-Al2O3 composites. Compos Eng 43:255–264CrossRefGoogle Scholar
  63. Wonisch A, Kraft T, Moseler M, Riedel H (2009) Effect of different particle size distributions on solid-state sintering: a microscopic simulation approach. J Am Ceram Soc 92:1428–1434CrossRefGoogle Scholar
  64. Yu PC, Li QF, Fuh JYH, Li T, Lu L (2007) Two-stage sintering of nano-sized yttria stabilized zirconia process by powder injection moulding. J Mater Process Technol 192–193:312–318CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • M. Sahli
    • 1
    • 2
  • H. Djoudi
    • 1
  • J.-C. Gelin
    • 1
  • T. Barriere
    • 1
  • M. Assoul
    • 1
  1. 1.Applied Mechanics Department, CNRS, UMR 6174Femto-ST InstituteBesançon cedexFrance
  2. 2.Mechanics Laboratory, Faculty of Engineering SciencesUniversity MentouriConstantineAlgeria

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