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The Identation Size Effect and Hall-Petch Behaviour of Annealed Polycrystalline Copper

Published online by Cambridge University Press:  26 February 2011

XiaoDong Hou
Affiliation:
x.hou@qmul.ac.uk, Queen Mary,University of London, Materials, Mile End Road, London, E1 4NS, United Kingdom, +44(0)2078827418
T.T. Zhu
Affiliation:
t.zhu@qmul.ac.uk, Queen Mary,University of London, Centre for materials research, Mile End Road, London, E1 4NS, United Kingdom
N. M. Jennett
Affiliation:
Nigel.Jennett@npl.co.uk, National Physical Laboratory, Hampton Road,Teddington, Middlesex, TW11 0LW, United Kingdom
A. J. Bushby
Affiliation:
a.j.bushby@qmul.ac.uk, Queen Mary,University of London, Centre for materials research, Mile End Road, London, E1 4NS, United Kingdom
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Abstract

Methods to obtain tensile stress-strain properties of materials from a practically non-destructive indentation test are of great industrial interest. However, to do this successfully, indentation size effects must be accounted for. Many indentation size effects, such as strain gradient plasticity and micro-pillar experiments [1], show a size dependence proportional to the inverse square root of a length scale, in common with Hall-Petch behavior. Recently, however, the indentation size effect from small radius spherical indenters has been shown, for a range of fcc metals, not to follow a Hall-Petch-like relationship but to be proportional to the inverse cube root of indenter radius [2]. Here, we investigate these differences further and present results for the indentation size effect with spherical indenters on Cu samples that have been engineered to have different grain sizes. The important experimental control parameter of the relative size of the indentation compared to the grain size is also explored since the cross over from grains significantly smaller than the contact radius to grains significantly larger than the contact radius occurs at different length scales in each sample. A thorough understanding of the various length-scale effects in the different test methods (e.g. the indentation size effect and grain size effect in indentation), is essential if a relationship, robust enough for industrial application, is to be defined to obtain tensile properties from an essentially non-destructive indentation test.

Type
Research Article
Copyright
Copyright © Materials Research Society 2007

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References

1. Volkert, C. A. and Lilleodden, E. T., Phil. Mag. 86, pp.55675579 (2006)Google Scholar
2. Spary, I. J., Bushy, A. J. and Jennett, N. M., Phil. Mag. 86, pp.55815593 (2006)Google Scholar
3. Hall, E. O., Proc. Phys. Soc. B64, pp.747753 (1951)Google Scholar
4. Petch, N. J., J. Iron Steel Inst. 174, pp.2528 (1953)Google Scholar
5. Armstrong, R. W., Codd, I., Douthwaite, R. M. and Petch, N. J., Phil. Mag. 7, pp.4558 (1962)Google Scholar
6. Armstrong, R. W., Metall. Trans. 1, pp.11691176 Google Scholar
7. Thompson, A. W. and Backofen, W. A., Metall. Trans. 2, pp.20042005 (1971)Google Scholar
8. Chokshi, A.H., Rosen, A., Karch, J. and Gleiter, H., Scrip. Metall. 23, pp.16791683 (1989)Google Scholar
9. Lefebvre, S., Devincre, B. and Hoc, T., Mater. Sci and Eng. A400–401, pp.150153 (2005)Google Scholar
10. Smallman, R. E. and Westmacott, K. H., J. Appl. Phys. 30, pp.603616 (1959)Google Scholar
11. Nieh, T. G. and Wadsworth, J., Scrip. Metall. 25, pp.955958 (1991)Google Scholar
12. Feltham, P. and Meakin, J. D., Phil. Mag. 2, 105 (1957)Google Scholar
13. Nix, W. D. and Gao, H., J. Mech. Phys. Solids 46, pp.411425 (1998)Google Scholar
14. Swadener, J. G., George, E. P. and Pharr, G. M., J. Mech. Phys. Solids 50, pp.681694 (2002)Google Scholar
15. Lim, Y. Y. and Chaudhri, M. M., Phil. Mag. A79, 2979 (1999)Google Scholar
16. Lim, Y. Y., Bushby, A. J. and Chaudhri, M. M., Mater. Res. Soc. Symp. Proc. 522, 145150 (1998)Google Scholar
17. Bushby, A. J. and Jennett, N. M., Mat. Res. Symp. Proc. 649, Q7.17.1 (2001)Google Scholar
18. Bushby, A.J., Nondestructive Testing and Evaluation, 17, pp.213234 (2001)Google Scholar
19. ISO 14577 Part 1 (2002) Metallic Materials – Instrumented Indentation Test for Hardness and Material Parameters. ISO Central Secretariat, Geneva, Switzerland.Google Scholar