Skip to main content
Log in

Numerical Simulation of Densification of Heterogeneous Random Powder Particles with Non-Equal Diameter

  • Published:
Powder Metallurgy and Metal Ceramics Aims and scope

This article builds the mathematical model of randomized 3D particles using a Python program to study the densification behavior of heterogeneous powder particles of non-equal diameter under pressure. The Python interface reserved by the finite element software Marc was applied to compile relevant command files and link them to carry out the numerical simulation of powder particle densification. The principles of particle distribution, deformation, and nodal flow were obtained by analyzing the powder particle compaction outcomes. The impact of particle parameters, compaction temperature, and coefficient of friction on the relative density of compacts was investigated. The results of the simulation show that the powder particles in the mould cavity are spiraling. Cu particles form concave arcs and cylindrical arcs at contact points, and the node trajectories rotate from top to bottom and from the center to the periphery. The overall deformation of Cr powder particles is not obvious. In the pressing process, the larger the powder particles, the greater the degree of deformity. As the temperature in the cavity increases, the relative density decreases. The higher the cavity friction, the higher the relative density, but once it reaches a certain value, the relative density reduces. The relative density of compacts can be greatly enhanced by selecting soft powder particles with a larger size, a higher temperature cavity, and a certain value of friction force. The experimental results verify the accuracy of the simulation, which is an important benchmark for numerical simulation of randomized particle densification. The findings provide a theoretical basis for further improvement in the density and properties of heterogeneous metal doping.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.

Similar content being viewed by others

References

  1. B. Harthong, D. Imbault, and P. Doremus, “The study of relations between loading history and yield surfaces in powder materials using discrete finite element simulations,” J. Mechan. Phys. Sol. 60, No. 4, 784–801 (2012).

    Article  Google Scholar 

  2. M.C. Zhou, S.Y. Huang, J.H. Hu, Y. Lei, F.L. Zou, S.W. Yan, and M. Yang, “Experiment and finite element analysis of compaction densification mechanism of Ag–Cu–Sn–In mixed metal powder,” Powder Technol., 313, 68–81 (2017).

    Article  CAS  Google Scholar 

  3. C.V. Nguyen, Y. Deng, A. Bezold, and C. Broeckmann, “A combined model to simulate the powder densification and shape changes during hot isostatic pressing,” Computer Methods Appl. Mechan. Eng., 315, 302–315 (2016).

    Article  Google Scholar 

  4. T. Watanabe, A. Yanagisawa, and T. Sasaki, “Development of Ag based brazing filler metal with low melting point,” Sci. Technol. Welding Joining, 16, No. 6, 502–508 (2011).

    Article  CAS  Google Scholar 

  5. J. Ai, J.F. Chen, J.M. Rotter, and J.Y. Ooi, “Assessment of rolling resistance models in discrete element simulations,” Powder Technol., 206, No. 3, 269–282 (2011).

    Article  CAS  Google Scholar 

  6. D.F. Wang, Characterization of Radical Microscopic Properties of Orderly Packed Structure of Binary Spherical Particles [in Chinese], Northeastern University (2014), pp. 1–83.

  7. Y.X. Zhang, Multi-Particle Finite Element Simulation of Particle Micro-Behavior during Powder Compaction [in Chinese], Northeastern University (2015), pp. 1–78.

  8. C. Li, Experimental Study on One-Dimensional and Three-Dimensional Vibration Packing Densification of Binary Size Balls [in Chinese], Northeastern University (2011), pp. 1–119.

  9. D.W. Wolla, M.J. Davidson, and A.K. Khanra, “Prediction of ductile fracture initiation for powder metallurgical aluminum-copper preforms using FEM,” Int. J. Mechan. Mater. Eng., 10, No. 1, 8 (2015); https://doi.org/10.1186/s40712-015-0036-9

  10. Y. Zhang and F.Z. Wang, “Numerical simulation of effects of pressure on densification of hot isostatic pressing of CuCr25 powder” [in Chinese], Hot Working Technol., 47, No. 2, 76–85 (2018).

  11. S. Zhao, F.Z. Wang, and D.Q. Ou, “Simulation of heterogeneous powder compression deformation behavior of Cu–W” [in Chinese], Ordnance Mater. Sci. Eng., 41, No. 2, 58–62 (2018).

  12. H.P. Chen and F.Z. Wang, “Finite element simulation of hot isostatic pressing densification process for W–Cu alloy powder” [in Chinese], Mater. Mechan. Eng., 41, No. 6, 69–74 (2017).

  13. Q.X. Liu, F.Z. Wang, Y. Zhang, and H.P. Chen, “Numerical simulation of macro segregation and temperature field of Cu–Cr two binary alloy” [in Chinese], Mater. Sci. Technol., 24, No. 6, 73–78 (2016).

  14. Y.B. Wang, F.Z. Wang, Y.K. Wang, Y.F. Li, and W.G. Du, “Three-dimensional numerical simulation of deformation and particle flow of Cu–Cr powder densified particles” [in Chinese], Acta Mater. Compos. Sinica., 36, No. 12, 2902–2911 (2019).

  15. D.G. Wang, Y.C. Wu, and M.H. Jiao, “Research and simulation of influence of three-axial compaction on powder metallurgic products properties,” Acta Metall. Sinica (English Letters), 21, No. 2, 116–124 (2009).

    Article  Google Scholar 

  16. Y.X. Zhang, X.Z. An, and Y.L. Zhang, “Multi-particle FEM modeling on microscopic behavior of 2D particle compaction,” Appl. Phys. A, 118, No. 3, 1015–1021 (2015).

    Article  CAS  Google Scholar 

  17. A.J. Taleghanim, M.R. Navase, M. Salehi, and J.M. Torralba, “Hot deformation behaviour and flow stress prediction of 7075 aluminium alloy powder compacts during compression at elevated temperatures,” Mater. Sci. Eng. A, 534, No. 2, 624–631 (2012).

    Article  Google Scholar 

  18. B. Guo, J. Ao, Y. Xu, and Z.J. Zhang, “Constitutive equation for the flow and densification behaviors of powder metallurgy Fe–0.5C–2Cu steel at elevated temperatures,” Steel Research Int., 88, 22–31 (2017).

    Article  Google Scholar 

  19. C. Feng, D.D. Sun, and H.S. Chen, New Marc Example Tutorial and Common Problem Analysis [in Chinese], China Water & Power Press, Beijing (2016), pp. 225–229.

    Google Scholar 

  20. D.F. Khan, H. Yin, Z. Usman, M. Khan, X.J. Yuan, W.H. Wang, and X.H. Qu, “Improvement of a high velocity compaction technique for iron powder,” Acta Metal Lurgica Sinica (English Letters), 26, No. 4, 399–403 (2013).

  21. A.V. Kuzmov, M.B. Shtern, and O.G. Kirkova, “Effect of billet elongation degree and strain hardening of the powder on compaction with rotating die,” Mathematical Models and Computing Experiment in Material Science: Collected Papers [in Russian], 21, 101–108 (2019).

    Google Scholar 

  22. C.V. Nguyen, Y. Deng, A. Bezold, and C. Broeckmann, “A combined model to simulate the powder densification and shape changes during hot isostatic pressing,” Computer Methods Appl. Mechan. Eng., 315, 302–315 (2016).

    Article  Google Scholar 

  23. D.C. Tsai and W.S. Hwang, “Numerical simulation of solidification morphologies of Cu–0.6 Cr casting alloy using modified cellular automaton model,” Trans. Nonferrous Met. Soc. China, 20, No. 6, 1072–1077 (2010).

    Article  CAS  Google Scholar 

  24. B.Y. Xu, Plastic Echanics [in Chinese], Higher Education Press, Beijing (1988), pp. 88–111.

    Google Scholar 

  25. J. Paul, S. Romeis, P. Herre, and W. Peukert, “Deformation behavior of micron-sized polycrystalline gold particles studied by in situ compression experiments and frictional finite element simulation,” Powder Technol., 286, 706–715 (2015).

    Article  CAS  Google Scholar 

  26. F. Güner, Ö.N. Cora, and H. Sofuoglu, “Effects of friction models on the compaction behavior of copper powder,” Tribol. Int., 122, 125–132 (2018).

    Article  Google Scholar 

  27. K.M. Arndt, S. Aman, R. Fuchs, and J. Tomas, “Contact properties determination of macroscopic fine disperse glass particle via compression tests in normal direction,” Adv. Powder Technol., 28, 101–114 (2017).

    Article  Google Scholar 

  28. M.H. Jiao, L. Sun, M. Gu, D.G. Wang, and Y.C. Wu, “Mesoscopic simulation of the compression deformation process of powder particles,” Adv. Mater. Research., 38, No. 5, 169–173 (2013).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K.P. Huang.

Additional information

Published in Poroshkova Metallurgiya, Vol. 60, Nos. 1–2 (537), pp. 11–26, 2021.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, K., Wang, F., Zhao, M. et al. Numerical Simulation of Densification of Heterogeneous Random Powder Particles with Non-Equal Diameter. Powder Metall Met Ceram 60, 7–19 (2021). https://doi.org/10.1007/s11106-021-00210-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11106-021-00210-8

Keywords

Navigation