Skip to main content
Log in

On the Estimation of Thermal Activation Parameters for Portevin–Le Chatelier Effect from Nanoindentation Data

  • New Developments in Nanomechanical Methods
  • Published:
JOM Aims and scope Submit manuscript

Abstract

The development of methods to ascertain the activation enthalpy, \( \Delta E_{\text{a}} \), for Portevin–Le Chatelier (PLC) effect is of interest as it facilitates understanding of the underlying mechanisms and the identification of solute species that age dislocations during deformation. Currently, most models for estimating \( \Delta E_{\text{a}} \) are based on the critical strain, \( \varepsilon_{\text{c}} \), for the onset of PLC during macroscopic uniaxial tests. However, an \( \varepsilon_{\text{c}} \) is not always observed, and some of the models incorporate unverified dependences. In this work, we present a nanoindentation-based approach for estimating \( \Delta E_{\text{a}} \) and the activation volume for the phenomenon. The approach is based on a more theoretically sound foundation and obviates the need for \( \varepsilon_{\text{c}} \). The derived parameters are in good agreement with reported values for the Al-Mg alloy studied herein. The results are discussed in terms of strain rate, indentation depth, and indenter geometry, and reveal the utility of the technique for investigations of PLC more generally.

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

Similar content being viewed by others

References

  1. X. Li and B. Bhushan, Mater. Charact. 48, 11 (2002).

    Article  Google Scholar 

  2. C.A. Schuh and A.C. Lund, J. Mater. Res. 19, 2152 (2004).

    Article  Google Scholar 

  3. W.W. Gerberich, J.C. Nelson, E.T. Lilleodden, P. Anderson, and J.T. Wyrobek, Acta Mater. 44, 3585 (1996).

    Article  Google Scholar 

  4. D. Catoor, Y.F. Gao, J. Geng, M.J.N.V. Prasad, E.G. Herbert, K.S. Kumar, G.M. Pharr, and E.P. George, Acta Mater. 61, 2953 (2013).

    Article  Google Scholar 

  5. N.Q. Chinh, J. Gubicza, Z. Kovács, and J. Lendvai, J. Mater. Res. 19, 31 (2004).

    Article  Google Scholar 

  6. H. Ovri and E.T. Lilleodden, Acta Mater. 89, 88 (2015).

    Article  Google Scholar 

  7. M.A. Soare and W.A. Curtin, Acta Mater. 56, 4046 (2008).

    Article  Google Scholar 

  8. H. Aboulfadl, J. Deges, P. Choi, and D. Raabe, Acta Mater. 86, 34 (2015).

    Article  Google Scholar 

  9. K. Peng, W. Chen, and K. Qian, Mater. Sci. Eng. A 415, 53 (2006).

    Article  Google Scholar 

  10. A. Asgharzadeh, H.J. Aval, and S.J. Serajzadeh, Mater. Eng. Perform. 25, 1076 (2016).

    Article  Google Scholar 

  11. S. Kumar and E. Pink, Acta Mater. 45, 5295 (1997).

    Article  Google Scholar 

  12. J.C. Huang and G.T. Gray, Scr. Metall. Mater. 24, 85 (1990).

    Article  Google Scholar 

  13. B. Max, J.S. Juan, M.L. Nó, J.M. Cloue, B. Viguier, and E. Andrieu, Metall. Mater. Trans. 49A, 2057 (2018).

    Article  Google Scholar 

  14. R.C. Picu, G. Vincze, F. Ozturk, J.J. Gracio, F. Barlat, and A.M. Maniatty, Mater. Sci. Eng. A 390, 334 (2005).

    Article  Google Scholar 

  15. E. Pink and A. Grinberg, Acta Metall. 30, 2153 (1982).

    Article  Google Scholar 

  16. F.B. Klose, A. Ziegenbein, F. Hagemann, H. Neuhäuser, P. Hähner, M. Abbadi, and A. Zeghloul, Mater. Sci. Eng. A 369, 74 (2004).

    Article  Google Scholar 

  17. B. Max, B. Viguier, E. Andrieu, and J.S. Juan, Metall. Mater. Trans. 45A, 5431 (2014).

    Article  Google Scholar 

  18. H. Ovri and E.T. Lilleodden, Mater. Des. 125, 69 (2017).

    Article  Google Scholar 

  19. H. Ovri, D. Steglich, H. Dieringa, and E.T. Lilleodden, Mater. Sci. Eng. A 740, 226 (2019).

    Article  Google Scholar 

  20. M.A. Soare and W.A. Curtin, Acta Mater. 56, 4091 (2008).

    Article  Google Scholar 

  21. P. Hähner, Mater. Sci. Eng. A 207, 208 (1996).

    Article  Google Scholar 

  22. C.A. Schuh and T.G. Nieh, Acta Mater. 51, 87 (2003).

    Article  Google Scholar 

  23. J.K. Mason, A.C. Lund, and C.A. Schuh, Phys. Rev. B 73, 054102 (2006).

    Article  Google Scholar 

  24. F. Zhang and W.A. Curtin, Model. Simul. Mater. Sci. Eng. 16, 055006 (2008).

    Article  Google Scholar 

  25. J.M. Robinson and M.P. Shaw, Int. Mater. Rev. 39, 113 (1994).

    Article  Google Scholar 

  26. P.O. Guglielmi, M. Ziehmer, and E.T. Lilleodden, Acta Mater. 150, 195 (2018).

    Article  Google Scholar 

  27. A.G. Evans and R.D. Rawlings, Phys. Status Solidi 34, 9 (1969).

    Article  Google Scholar 

  28. D. Hull and D.J. Bacon, Introduction to Dislocations, 5th ed. (Oxford: Butterworth-Heinemann, 2011), pp. 228–231.

    Google Scholar 

  29. W.D. Nix, J.R. Greer, G. Feng, and E.T. Lilleodden, Thin Solid Films 515, 3152 (2007).

    Article  Google Scholar 

  30. L.P. Kubin and Y. Estrin, Acta Metall. Mater. 38, 697 (1990).

    Article  Google Scholar 

  31. E. Demir, D. Raabe, N. Zaafarani, and S. Zaefferer, Acta Mater. 57, 559 (2009).

    Article  Google Scholar 

  32. W.A. Curtin, D.L. Olmsted, and L.G. Hector Jr., Nat. Mater. 5, 875 (2006).

    Article  Google Scholar 

  33. R.C. Picu and D. Zhang, Acta Mater. 52, 161 (2004).

    Article  Google Scholar 

  34. D.L. Olmsted, L.G. Hector Jr, and W.A. Curtin, J. Mech. Phys. Solids 54, 1763 (2006).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Henry Ovri.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ovri, H., Lilleodden, E.T. On the Estimation of Thermal Activation Parameters for Portevin–Le Chatelier Effect from Nanoindentation Data. JOM 71, 3343–3349 (2019). https://doi.org/10.1007/s11837-019-03697-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11837-019-03697-0

Navigation