Skip to main content
Log in

Deformation mechanics and microstructure evolution during indirect extrusion in (sub) mm-scale samples

  • Article
  • Published:
Journal of Materials Research Aims and scope Submit manuscript

Abstract

Mechanics of deformation in miniaturized indirect extrusion (IE) and their resulting process outcomes are shown to be dependent on the dimensional scale of the plastic deformation zone. Using optically transparent dies as prototypes, the effect of process length-scales on the strain, strain-rate, and rotation fields is elucidated using digital image correlation. In this regard, in situ experiments were performed on commercially pure Lead (Pb) and Aluminum (Al 1100) as prototypical nonwork/work hardening materials. By overlaying these measurements with microstructural characterization via electron backscattered diffraction, the effect of deformation volume on process–structure mappings is identified. Herein, visco-plastic self-consistent framework-based modeling of the evolution of crystallographic textures was investigated to achieve insights into the trajectories of microstructure evolution and process outcomes during IE. These findings provide a beneficial background about characteristics of plastic deformation zone and its distribution to optimize and control the properties of miniaturized components.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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
FIG. 12

Similar content being viewed by others

References

  1. S. Basu, W. Zhiyu, and C. Saldana: Anomalous evolution of microstructure and crystallographic texture during indentation. Acta Mater. 105, 25–34 (2016).

    Article  CAS  Google Scholar 

  2. S. Basu and M.R. Shankar: Microstructure evolution during severe shear deformation at small length-scales. Scr. Mater. 73, 52–54 (2014).

    Google Scholar 

  3. J. Chakrabarty: Theory of Plasticity (Butterworth-Heinemann, Oxford, 2012).

    Google Scholar 

  4. Y.C. Yen, A. Jain, and T. Altan: A finite element analysis of orthogonal machining using different tool edge geometries. J. Mater. Process. Technol. 146 (1), 72–81 (2004).

    Article  CAS  Google Scholar 

  5. M. Geiger, M. Kleiner, R. Eckstein, N. Tiesler, and U. Engel: Microforming. CIRP Ann. Manuf. Technol. 50 (2), 445–462 (2001).

    Article  Google Scholar 

  6. M.W. Fu and W.L. Chan: A review on the state-of-the-art microforming technologies. Int. J. Adv. Manuf. Technol. 67, 2411–2437 (2013).

    Article  Google Scholar 

  7. S. Basu and M.R. Shankar: Spatial confinement-induced switchover in microstructure evolution during severe plastic deformation at micrometer length scales. Acta Mater. 79, 146–158 (2014).

    Article  CAS  Google Scholar 

  8. F. Vollertsen, H.S. Niehoff, and Z. Hu: State of the art in micro forming. Int. J. Mach. Tool Manuf. 46 (11), 1172 (2006).

    Article  Google Scholar 

  9. W.F. Hosford and R.M. Caddell: Metal Forming: Mechanics and Metallurgy (Cambridge University Press, New York, 2011).

    Book  Google Scholar 

  10. A. Rollett, F.J. Humphreys, G.S. Rohrer, and M. Hatherly: Recrystallization and Related Annealing Phenomena (Elsevier, Oxford, 2004).

    Google Scholar 

  11. M. Kumar, A.J. Schwartz, and W.E. King: Microstructural evolution during grain boundary engineering of low to medium stacking fault energy fcc materials. Acta Mater. 50 (10), 2599–2612 (2002).

    Article  CAS  Google Scholar 

  12. M. Moradi, S. Basu, and M.R. Shankar: In situ measurement of deformation mechanics and its spatiotemporal scaling behavior in equal channel angular pressing. J. Mater. Res. 30 (6), 798–810 (2015).

    Article  CAS  Google Scholar 

  13. O.C. Zienkiewicz and P.N. Godbole: Flow of plastic and visco-plastic solids with special reference to extrusion and forming processes. Int. J. Numer. Methods Eng. 8, 1–16 (1974).

    Article  Google Scholar 

  14. H. Wang, P. Wu, C. Tomé, and Y. Huang: A finite strain elastic–viscoplastic self-consistent model for polycrystalline materials. J. Mech. Phys. Solids 58 (4), 594–612 (2010).

    Article  CAS  Google Scholar 

  15. D. Rees: Basic Engineering Plasticity: An Introduction with Engineering and Manufacturing (Butterworth-Heinemann, Oxford, 2012).

    Google Scholar 

  16. W.F. Hosford and R.M. Caddell: Metal Forming (Prentice Hall, Oxford, 1993).

    Google Scholar 

  17. B.F.V. Turkovich and J.T. Black: Micro-machining of copper and aluminum crystals. J. Eng. Ind. 92 (1), 130–134 (1970).

    Article  Google Scholar 

  18. E. Lee, R. Mallett, and W.H. Yang: Stress and deformation analysis of the metal extrusion process. Comput. Methods Appl. Mech. Eng. 10 (3), 339–353 (1977).

    Article  Google Scholar 

  19. S.H. Teoh and K.H. Lee: Fracture of Engineering Materials and Structures (Elsevier, Oxford, 1991).

    Book  Google Scholar 

  20. M.B. Prime and M.R. Hill: Residual stress, stress relief, and inhomogeneity in aluminum plate. Scr. Mater. 46 (1), 77–82 (2002).

    Article  CAS  Google Scholar 

  21. M. Handbook: Properties and selection: nonferrous alloys and pure metals (American Society for Metals, Metals Park, 1979).

    Google Scholar 

  22. A. Rosochowski, W. Presz, L. Olejnik, and M. Richert: Micro-extrusion of ultra-fine grained aluminium. Int. J. Adv. Manuf. Technol. 33 (1–2), 137–146 (2007).

    Article  Google Scholar 

  23. M. Bakhshi-Koybari: A theoretical and experimental study of friction in metal forming by the use of the forward extrusion process. J. Mater. Process. Technol. 125, 369–374 (2002).

    Article  Google Scholar 

  24. C.C. Chang and T.C. Wang: Effects of grain size on micro backward extrusion of copper. Adv. Mater. Res. 83–86, 1092–1098 (2010).

    Google Scholar 

  25. W.L. Chan, M.W. Fu, and B. Yang: Study of size effect in micro-extrusion process of pure copper. Mater. Des. 32 (7), 3772–3782 (2011).

    Article  CAS  Google Scholar 

  26. F. Cardarelli: Materials Handbook (Springer, London, 2000).

    Book  Google Scholar 

  27. N. Tiesler and U. Engel: Microforming-effects of miniaturization. In 8th International Conference on Metal Forming (Rotterdam, Balkema, 2000); p. 355.

    Google Scholar 

  28. M.W. Fu and W.L. Chan: Micro-Scaled Products Development via Microforming (Springer, London, 2014).

    Book  Google Scholar 

  29. H.O. Hall: The deformation and ageing of mild steel: III. Discussion of Results. Proc. Phys. Soc. London, Sect. B 64 (9), 747 (1951).

    Article  Google Scholar 

  30. N.J. Petch: The cleavage strength of polycrystals. J. Iron Steel Inst. 174, 25–28 (1953).

    CAS  Google Scholar 

  31. R. Armstrong, I. Codd, R.M. Douthwaite, and N.J. Petch: The plastic deformation of polycrystalline aggregates. Philos. Mag. 7 (73), 45–58 (1962).

    Article  CAS  Google Scholar 

  32. A.W. Thompson, M.I. Baskes, and W.F. Flanagan: The dependence of polycrystal work hardening on grain size. Acta Mater. 21 (7), 1017–1028 (1973).

    Article  CAS  Google Scholar 

  33. S. Basu and M.R. Shankar: Crystallographic textures resulting from severe shear deformation in machining. Metall. Mater. Trans. A 46 (2), 801–812 (2015).

    Article  CAS  Google Scholar 

  34. S.R. Kalidindi, C.A. Bronkhorst, and L. Anand: Crystallographic texture evolution in bulk deformation processing of FCC metals. J. Mech. Phys. Solids 40 (3), 537–569 (1992).

    Article  CAS  Google Scholar 

  35. R.A. Lebensohn and C.N. Tomé: A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys. Acta Metall. Mater. 41 (9), 2611–2624 (1993).

    Article  CAS  Google Scholar 

  36. D.A. Hughes and N. Hansen: High angle boundaries formed by grain subdivision mechanisms. Acta Metall. 45 (9), 3871–3886 (1997).

    CAS  Google Scholar 

  37. E. Demir, D. Raabe, N. Zaafarani, and S. Zaefferer: Acta Mater. 57 (2), 559–569 (2009).

    Article  CAS  Google Scholar 

  38. A. Acharya and R.J. Knops: Investigation of the indentation size effect through the measurement of the geometrically necessary dislocations beneath small indents of different depths using EBSD tomography. J. Elasticity 114 (2), 275–279 (2013).

    Article  Google Scholar 

  39. N.A. Fleck and J.W. Hutchinson: An observation on the experimental measurement of dislocation density. Adv. Appl. Mech. 33, 295–361 (1997).

    Article  Google Scholar 

  40. N.A. Fleck, G.M. Muller, M.F. Ashby, and J.W. Hutchinson: Strain gradient plasticity: Theory and experiment. Acta Metall. Mater. 42 (2), 475–487 (1993).

    Article  Google Scholar 

  41. U. Engel and R. Eckstein: Microforming–from basic research to its realization. J. Mater. Process. Technol. 125–126 (9), 35–44 (2002).

    Article  Google Scholar 

  42. W.J. Poole, M.F. Ashby, and N.A. Fleck: Micro-hardness of annealed and work-hardened copper polycrystals. Scr. Mater. 34 (15), 559–564 (1996).

    Article  CAS  Google Scholar 

Download references

ACKNOWLEDGMENTS

Support from the National Science Foundation (CMMI Grant No. 1030265) and the II–VI foundation block gift program is acknowledged. We are also grateful for the comments of the reviewer, which helped significantly improve the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Ravi Shankar.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Moradi, M., Basu, S. & Shankar, M.R. Deformation mechanics and microstructure evolution during indirect extrusion in (sub) mm-scale samples. Journal of Materials Research 31, 1096–1112 (2016). https://doi.org/10.1557/jmr.2016.85

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1557/jmr.2016.85

Navigation