Skip to main content
Log in

Instrumented pyramidal and spherical indentation of polycrystalline graphite

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

Abstract

The elastoplastic surface deformation of a polycrystalline graphite was studied by examining the indenter’s geometry dependence of load P versus penetration depth h relation (Ph relation) in instrumented pyramidal/spherical indentation tests. The tetrahedral pyramid indenters included inclined face angles β of 10.0°, 22.0° (Vickers pyramid), and 40.0°. The tip radius of spherical indenters used were 32 μm, 200 μm, 794 μm, 1.59 mm, and 6.35 mm. The true hardness H as a measure for plasticity was singled out of the elastoplastic loading parameter k1 in the quadratic expression of P = k1h2 and then quantitatively related to the yield stress Y that was determined from the mean contact pressure for spherical indentation at the onset of plastic yielding. The size effect of Y, decreasing with the increase in the tip radius of spherical indenter, is discussed using the model of geometrically necessary dislocations in terms of the material length scales for a plastic field with strain gradient.

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.

Similar content being viewed by others

References

  1. B.T. Kelly, Physics of Graphite (Applied Science, London, 1981), Chapters 1–3.

  2. M. Sakai, K. Urashima, and M. Inagaki, J. Am. Ceram. Soc. 66, 868 (1983).

    Article  Google Scholar 

  3. M. Sakai and R.C. Bradt, in Graphical Methods for Determining the Nonlinear Fracture Parameters of Silica and Graphite Refractory Composites, edited by R.C. Bradt, A.G. Evans, D.P.H. Hasselman, and F.F. Lange (Plenum, New York, 1986), Vol. 7, pp. 127–142.

  4. M. Sakai, J. Yoshimura, Y. Goto, and M. Inagaki, J. Am. Ceram. Soc. 71, 609 (1988).

    Article  CAS  Google Scholar 

  5. M. Sakai and M. Inagaki, J. Am. Ceram. Soc. 72, 388 (1989).

    Article  CAS  Google Scholar 

  6. A.G. Evans and K.T. Faber, J. Am. Ceram. Soc. 67, 255 (1984).

    Article  Google Scholar 

  7. J.W. Hutchinson, Acta Metall. 35, 1605 (1987).

    Article  CAS  Google Scholar 

  8. M. Sakai, Y. Nakano, and S. Shimizu, J. Am. Ceram. Soc. 85, 1522 (2002).

    Article  CAS  Google Scholar 

  9. M. Sakai, Carbon Alloys, edited by E. Yasuda, M. Inagaki, K. Kaneko, M. Endo, A. Oya, and Y. Tanabe (Elsevier, Oxford, U.K., 2003), Chapter 22.

  10. N.A. Fleck and J.W. Hutchinson, J. Mech. Phys. Solids 41, 1825 (1993).

    Article  Google Scholar 

  11. N.A. Fleck, G.M. Muller, M.F. Ashby, and J.W. Hutchinson, Acta Metall. Mater. 42, 475 (1994).

    Article  CAS  Google Scholar 

  12. W.D. Nix and H-J. Gao, J. Mech. Phys. Solids 46, 411 (1998).

    Article  CAS  Google Scholar 

  13. M. Sakai, Acta Metall. Mater. 41, 1751 (1993).

    Article  CAS  Google Scholar 

  14. M. Sakai, S. Shimizu, and T. Ishikawa, J. Mater. Res. 14, 1471 (1999).

    Article  CAS  Google Scholar 

  15. D.E. Soule and C.W. Nezbeda, J. Appl. Phys. 39, 5122 (1968).

    Article  CAS  Google Scholar 

  16. S.R. Snyder, W.W. Gerberich, and H.S. White, Phys. Rev. B 47, 10823 (1993).

    Article  CAS  Google Scholar 

  17. J.S. Field and M.V. Swain, Carbon 34, 1357 (1996).

    Article  CAS  Google Scholar 

  18. M. Sakai, J. Mater. Res. 14, 3630 (1999).

    Article  CAS  Google Scholar 

  19. J.L. Loubet, J.M. Georges, and G. Meille, Microindentation Techniques in Materials Science and Engineering, ASTM STP889, edited by P.J. Blau and B.R. Lawn (American Society for Testing and Materials, Philadelphia, 1986), pp. 72–89.

  20. M. Sakai and Y. Nakano, J. Mater. Res. 17, 2161 (2002).

    Article  CAS  Google Scholar 

  21. M. Sakai, J. Mater. Res. 18, 1631 (2003).

    Article  CAS  Google Scholar 

  22. M. Kh. Shorshorov, S.I. Bulychev, and V.P. Alekhim, Sov. Phys. Dokl. 26, 769 (1981).

    Google Scholar 

  23. M.F. Doerner and W.D. Nix, J. Mater. Res. 1, 601 (1986).

    Article  Google Scholar 

  24. G.M. Pharr, W.C. Oliver, and F.R. Brotzen, J. Mater. Res. 7, 613 (1992).

    Article  CAS  Google Scholar 

  25. B.R. Lawn and V.R. Howes, J. Mater. Sci. 16, 2745 (1981).

    Article  CAS  Google Scholar 

  26. D. Tabor, Hardness of Metals (Oxford University Press, London, 1951), Chapter IV.

  27. K.L. Johnson, Contact Mechanics (Cambridge University Press, Cambridge, 1985), Chap. 5.

  28. I.N. Sneddon, Int. J. Eng. Sci. 3, 47 (1965).

    Article  Google Scholar 

  29. Y. Huang, L. Zhang, T.F. Guo, and K-C. Hwang, J. Mech. Phys. Solids 45, 439 (1997).

    Article  Google Scholar 

  30. Q. Ma and D.R. Clarke, J. Mater. Res. 10, 853 (1995).

    Article  CAS  Google Scholar 

  31. W.D. Nix, Metal Trans. 20A, 2217 (1989).

    Article  CAS  Google Scholar 

  32. J.S. Sto¨lken and A.G. Evans, Acta Mater. 46, 5109 (1998).

    Article  Google Scholar 

  33. M.V. Swain and M. Wittling, Fract. Mech. Ceramic. 11, 379 (1996).

    CAS  Google Scholar 

  34. A. Iost and R. Bigot, J. Mater. Sci., 31, 3573 (1996).

    Article  CAS  Google Scholar 

  35. M.F. Horstmeyer, M.I. Baskes, and S.J. Plimpton, Acta Mater., 49, 4363 (2001).

    Article  Google Scholar 

  36. H. Shi and M. Atkinson, J. Mater. Sci., 25, 2111 (1990).

    Article  CAS  Google Scholar 

  37. H. Li, A. Gosh, Y. Han, and R.C. Bradt, J. Mater. Res., 8, 1028 (1993).

    Article  CAS  Google Scholar 

  38. P.M. Sargent, Microindentation Techniques in Materials Science and Engineering, ASTM STP889, edited by P.J. Blau and B.R. Lawn. (American Society for Testing and Materials, Philadelphia, 1986.) pp. 160–174.

  39. M. Sakai, T. Akatsu, S. Numata, and K. Matsuda, J. Mater. Res., 18, 2087 (2003).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Sakai.

Additional information

Address all correspondence to this author. This author was an editor of this journal during the review and decision stage. For the JMR policy on review and publication of manuscripts authored by editors, please refer to http://www.mrs.org/publications/jmr/policy.html

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sakai, M., Nakano, Y. Instrumented pyramidal and spherical indentation of polycrystalline graphite. Journal of Materials Research 19, 22 (2004). https://doi.org/10.1557/jmr.2004.19.1.228

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1557/jmr.2004.19.1.228

Navigation