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Plasticity size effects in nanoindentation

Published online by Cambridge University Press:  03 March 2011

A.J. Bushby  and
D.J. Dunstan
A.J. Bushby
Affiliation:
Department of Materials, Centre for Materials Research, Queen Mary, University of London, London E1 4NS, United Kingdom
D.J. Dunstan
Affiliation:
Department of Physics, Centre for Materials Research, Queen Mary, University of London, London E1 4NS, United Kingdom
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Abstract

In conventional continuum mechanics, the yield behavior of a material is size independent. However, in nanoindentation, plasticity size effects have been observed for many years, where a higher hardness is measured for smaller indentation size. In this paper we show that there was a size effect in the initiation of plasticity, by using spherical indenters with different radii, and that the length scale at which the size effect became significant depended on the mechanism of plastic deformation. For yield by densification (fused silica), there was no size effect in the nanoindentation regime. For phase transition (silicon), the length scale was of the order tens of nanometers. For materials that deform by dislocations (InGaAs/InP), the length scale was of the order a micrometer, to provide the space required for a dislocation to operate. We show that these size effects are the result of yield initiating over a finite volume and predict the length scale over which each mechanism should become significant.

Keywords

NanoindentationStress/strain relationship
Type
Articles
Information
Journal of Materials Research , Volume 19 , Issue 1 , January 2004 , pp. 137 - 142
Copyright
Copyright © Materials Research Society 2004

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References

REFERENCES

1.Tabor, D.The Hardness of Metals (Clarendon Press, Oxford, 1951).Google Scholar
2.Farkas, D., Kung, H., Mayo, M., van Swygenhoven, H. and Weertman, J. in Quasicrystals—Preparation, Properties and Applications, edited by Berlin-Ferré, E., Thiel, P.P., Tsai, A.P., and Urban, K. (Mater. Res. Soc. Symp. Proc. 643, Warrendale, PA, 2001)Google Scholar
3.Bushby, A.J. and Jennett, N.M. in Fundamentals of Nanoindentation and Nantribology II, edited by Baker, S.P., Cook, R.F., Corcoran, S.G., and Moody, N.R. (Mater. Res. Soc. Symp. Proc. 649, Warrendale, PA, 2001).Google Scholar
4.Gane, N. and Bowden, F.P., J. Appl. Phys. 39 1432 (1968).CrossRefGoogle Scholar
5.Gerberich, W.W., Nelson, J.C., Lilleodden, E.T., Anderson, P. and Wykobek, J.T.Acta Mater. 44 3585 (1996).CrossRefGoogle Scholar
6.Michalske, T.A. and Houston, J.E., Acta Mater. 46 391 (1998).CrossRefGoogle Scholar
7.Bahr, D.F., Krammer, D.E. and Gerberich, W.W., Acta Mater. 46 3605 (1998).CrossRefGoogle Scholar
8.Kiely, J.D. and Houston, J.E., Phys. Rev. B 57 12588 (1998).CrossRefGoogle Scholar
9.Gerberich, W.W., Krammer, D.E., Tymiak, N.I., Volinsky, A.A., Bahr, D.F. and Kriese, M.D., Acta Mater. 47 4115 (1999).CrossRefGoogle Scholar
10.Nix, W.D. and Gao, H.J., Mech. Phys. Solids 46 411 (1998).CrossRefGoogle Scholar
11.Lim, Y.Y. and Chaudhri, M.M., Philos. Mag. A 79 2979 (1999).CrossRefGoogle Scholar
12.Lim, Y.Y., Bushby, A.J. and Chaudhri, M.M. in Fundamentals of Nanoindentation and Nanotribology, edited by Moody, N.R., Gerberich, W.W., Burnham, N., and Baker, S.P. (Mater. Res. Soc. Symp. Proc. 522, Warrendale, PA, 1998) p. 145.Google Scholar
13.Jayaweera, N.B., Downes, J.R., Frogley, M.D., Hopkinson, M., Bushby, A.J., Kidd, P., Kelly, A. and Dunstan, D.J., Proc. Roy. Soc. London A 459 2049 (2003).CrossRefGoogle Scholar
14.Bushby, A.J. and Jennett, N.M. in Fundamentals of Nanoindentation and Nanotribology II, edited by Baker, S.P., Cook, R.F., Corcoran, S.G., and Moody, N.R. (Mater. Res. Soc. Symp. Proc. 649, Warrendale, PA, 2001), Q7.17.Google Scholar
15.Field, J.S. and Swain, M.V., J. Mater. Res. 8 297 (1993).CrossRefGoogle Scholar
16.Bushby, A.J., Nondestruct. Test. Eval. 17 213 (2001).CrossRefGoogle Scholar
17.Asif, S.A. Syed and Pethica, J.B., Philos. Mag. A 76 1105 (1997).CrossRefGoogle Scholar
18.Jayaweera, N.B., Bushby, A.J., Kidd, P., Kelly, A. and Dunstan, D.J., Philos. Mag. Lett. 79 343 (1999).CrossRefGoogle Scholar
19.Dunstan, D.J., J. Mater. Sci.: Mater. Electron. 8 337 (1997).Google Scholar
20.Williams, J.S., Chen, Y., Wong-Leung, J., Kerr, A. and Swain, M.V., J. Mater. Res. 14, 2338 (1999).CrossRefGoogle Scholar
21.Hu, J.Z. and Spain, I.L., Solid State Commun. 51 263 (1984).CrossRefGoogle Scholar
22.Weinstein, B.A., Hark, S.K., Burnham, R.D. and Martin, R.M., Phys. Rev. Lett. 58 781 (1987).CrossRefGoogle Scholar
23.Dunstan, D.J., Prins, A.D., Gil, B. and Faurie, J-P., Phys. Rev. B 44 4017 (1991).CrossRefGoogle Scholar