Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-25T15:31:25.113Z Has data issue: false hasContentIssue false
  • English
  • Français

An analytical approach for relating hardness and yield strength for materials with high ratio of yield strength to Young modulus

Published online by Cambridge University Press:  01 February 2011

Luc J. Vandeperre ,
Finn Giuliani  and
William J. Clegg
Luc J. Vandeperre
Affiliation:
Ceramics Laboratory, Department of Materials Science and Metallurgy, University of Cambridge, Cambridge, CB2 3QZ, United Kingdom
Finn Giuliani
Affiliation:
Ceramics Laboratory, Department of Materials Science and Metallurgy, University of Cambridge, Cambridge, CB2 3QZ, United Kingdom
William J. Clegg
Affiliation:
Ceramics Laboratory, Department of Materials Science and Metallurgy, University of Cambridge, Cambridge, CB2 3QZ, United Kingdom
Get access

Abstract

For materials with a high ratio of Y to the elastic modulus, E, experimental data show that the ratio of the hardness to the flow stress decreases from 3 toward 1 as Y / E increases. This behaviour is predicted by finite element calculations but to date analytical expressions have not been able to correctly predict the relation between Y and H nor have they been able to show how the geometry of the indenter is important. Therefore, in this paper the correlation between H and Y for such materials is re-examined using an analytical approach to provide a physical interpretation, which explains the trends observed.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 841: Symposium R – Fundamentals of Nanoindentation and Nanotribology III , 2004 , R11.10
Copyright
Copyright © Materials Research Society 2005

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. Tabor, D. Br., J. Appl. Phys., 7, 159 (1956).Google Scholar
2. Marsh, D. M., Proc. R. Soc. A, 279, 420 (1963).Google Scholar
3. Cheng, Y. T. and Li, Z., J. Mat. Res., 15, 2830 (2000).Google Scholar
4. Hill, R., The Mathematical Theory of Plasticity, Clarendon Press, Oxford, (1950).Google Scholar
5. Johnson, K. L., J. Mech. Phys. Solids, 18, 115 (1970).Google Scholar
6. Sneddon, I. N., Proc. Cambridge Phil. Soc., 44, 492 (1948).Google Scholar
7. Chiang, S. S., Marshall, D. B. and Evans, A. G., J. Appl. Phys., 53, 298 (1982).Google Scholar
8. Vandeperre, L. J., Giuliani, F. and Clegg, W. J., Journal of Materials Research, 19, 3704, (2004).Google Scholar
9. Fischer-Cripps, A. C., Surf. Coat. Technol., 168, 136 (2003).Google Scholar
10. Mulhearn, T. O., J. Mech. Phys. Solids, 7, 85 (1959).Google Scholar
11. Samuels, L. E. and Mulhearn, T. O., J. Mech. Phys. Solids, 5, 125 (1957).Google Scholar
12. Singh, A. P. and Padmanabhan, K. A., Journal of Materials Science, 26, 5481 (1991).Google Scholar
13. Atkins, A. G. and Tabor, D., J. Mech. Phys. Solids, 13, 149 (1965).Google Scholar
14. Cheng, Y. T. and Cheng, C. M., J. Appl. Phys., 84, 1284 (1998).Google Scholar
15. Hirst, W. and Howse, G. J. W., Proc. Roy. Soc., A311, 429 (1969).Google Scholar