Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-05T03:23:58.706Z Has data issue: false hasContentIssue false
  • English
  • Français

The Meyer hardness: A measure for plasticity?

Published online by Cambridge University Press:  31 January 2011

M. Sakai
M. Sakai
Affiliation:
Department of Materials Science, Toyohashi University of Technology, Tempaku-cho, Toyohashi 441–8580, Japan
Get access

Abstract

The physical insight into the Meyer hardness is given on the basis of the experimental results for indentation load P versus indentation depth h relations and of a simple model for elastoplastic contact deformation. The quadratic relationships of P = k1h2 for loading and P = k2(h − hr)2 for unloading with the residual depth of impression hr are essential in the elastoplastic indentation processes and mechanisms. The indentation-induced residual strain energy stored in unloaded impression is properly taken into account. The Meyer hardness is an elastic and plastic parameter that depends not only on the plasticity but also on the elasticity of material indented and significantly depends on the geometry of indenter used. The Meyer hardness is given in terms of the energy consumed to create a residual indentation impression, leading to the concepts of “work of indentation” and “ductility index.”

Type
Articles
Information
Journal of Materials Research , Volume 14 , Issue 9 , September 1999 , pp. 3630 - 3639
Copyright
Copyright © Materials Research Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Shaw, M.C., The Science of Hardness Testing and Its Research Applications, edited by Westbrook, J.H. and Conrad, H. (American Society for Metals, Metals Park, OH, 1973), p. 1.Google Scholar
2.Tabor, D., Hardness of Metals (Oxford University Press, Amen House, London, 1951), Chap. VII.Google Scholar
3.Stilwell, N.A. and Tabor, D., Proc. Phys. Soc. London 78, 169 (1961).CrossRefGoogle Scholar
4.Lawn, B.R. and Howes, V.R., J. Mater. Sci. 16, 2745 (1981).CrossRefGoogle Scholar
5.Loubet, J.L., George, J.M., and Meille, G., Microindentation Techniques in Materials Science and Engineering, edited by Blau, P.J. and Lawn, B.R. (ASTM STP889, American Society for Testing and Materials, Philadelphia, PA, 1986), p. 72.Google Scholar
6.Doerner, M.F. and Nix, W.D., J. Mater. Res. 1, 601 (1986).CrossRefGoogle Scholar
7.Oliver, W.C. and Pharr, G.M., J. Mater. Res. 7, 1564 (1992).CrossRefGoogle Scholar
8.Sakai, M., Acta Metall. Mater. 41, 1751 (1993).CrossRefGoogle Scholar
9.Söderlund, E. and Rowcliffe, D.J., J. Hard Mater. 5, 149 (1994).Google Scholar
10.Cook, R.F. and Pharr, G.M., J. Hard Mater. 5, 179 (1994).Google Scholar
11.Zeng, K., Söderlund, E., Giannakopoulos, A.E., and Rowcliffe, D.J., Acta Mater. 44, 1127 (1996).CrossRefGoogle Scholar
12.Sakai, M., Shimizu, S., and Ishikawa, T., J. Mater. Res. 14, 1471 (1999).CrossRefGoogle Scholar
13.Pharr, G.M., Oliver, W.C., and Brotzen, F.R., J. Mater. Res. 7, 613 (1992).CrossRefGoogle Scholar
14.Tabor, D., Hardness of Metals (Oxford University Press, Amen House, London, 1951), Chap. II.Google Scholar
15.Meyer, E., Zeits. d. Vereines Deutsch. Ing. 52, 645, 740, 835 (1908).Google Scholar
16.Sneddon, I.N., Int. J. Eng. Sci. 3, 47 (1965).CrossRefGoogle Scholar
17.Cheng, Y-T. and Cheng, C-M., J. App. Phys. 84, 1284 (1998).CrossRefGoogle Scholar
18.Cheng, Y-T. and Cheng, C-M., App. Phys. Lett. 73, 614 (1998).CrossRefGoogle Scholar
19.Gilman, J.J., The Science of Hardness Testing and Its Research Applications, edited by Westbrook, J.H. and Conrad, H. (American Society for Metals, Metals Park, OH, 1973), p. 51.Google Scholar
20.King, R.B., Int. J. Solids Struct. 23, 1657 (1987).CrossRefGoogle Scholar
21.Bilodeau, G.G., J. App. Mech. 59, 519 (1992).CrossRefGoogle Scholar
22.Briscoe, B.J., Sebastian, K.S., and Adams, M.J., J. Phys. D 27, 1156 (1994).CrossRefGoogle Scholar
23.Sakai, M. and Nowak, R., Ceramics—Adding The Value, edited by Bannister, M.J. (Austceram 92, The Australian Ceramic Society, Melbourne, August 1992), Vol. 2, p. 922.Google Scholar