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Illustrative analysis of load-displacement curves in nanoindentation

Published online by Cambridge University Press:  31 January 2011

A.C. Fischer-Cripps*
Affiliation:
Industrial Physics, Commonwealth Scientific and Industrial Research Organization (CSIRO), West Lindfield, New South Wales, 2070 Australia
*
a)Address all correspondence to this author. e-mail: tony.cripps@csiro.au
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Abstract

The nature of the elastic unloading after an elastic-plastic contact with a conical or Berkovich indenter is studied. Three representative specimens having different mechanical properties were tested. Finite-element results for the pressure distribution beneath the indenter during unloading suggest that the effective indenter is in fact very closely approximated by a sphere in the case of fused silica (a material with a relatively low value of E/H) and a more uniform pressure distribution in the case of silicon and sapphire (materials with higher values of E/H). The proposed reason for these observations is the extent and influence of an elastic enclave directly beneath the indenter as revealed by finite-element analysis. The results also show that the pressure distribution retains its form during the entire unloading. The work seeks to provide a physical reason for the value of the fitting exponent m as used in popular nanoindentation data analysis procedures.

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Articles
Copyright
Copyright © Materials Research Society 2007

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References

REFERENCES

1Oliver, W.C.Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7(4), 1664 1992CrossRefGoogle Scholar
2Pharr, G.M.Bolshakov, A.: Understanding nanoindentation unloading curves. J. Mater. Res. 17(10), 2660 2002Google Scholar
3Cheng, Y-T.Cheng, C-M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng., R 44, 99 2004CrossRefGoogle Scholar
4Fischer-Cripps, A.C.Nanoindentation, 2nd ed.Springer Verlag New York 2004CrossRefGoogle Scholar
5Fischer-Cripps, A.C.: The use of combined elastic modulus in depth-sensing indentation with a conical indenter. J. Mater. Res. 18(5), 1043 2003Google Scholar
6Sneddon, I.N.: Boussinesq’s problem for a rigid cone. Proc. Cambridge Philos. Soc. 44, 492 1948Google Scholar
7Gong, J., Miao, H.Peng, Z.: A new function for the description of the nanoindentation unloading data. Scripta Mater. 49(1), 93 2003CrossRefGoogle Scholar
8Fischer-Cripps, A.C.: Elastic recovery and reloading of hardness impressions with a conical indenter in Surface Engineering 2002—Synthesis, Characterization and Applications, edited by A. Kumar, W.J. Meng, Y-T. Cheng, J.S. Zabinski, G.L. Doll, and S. Veprek Mater. Res. Soc. Symp. Proc. 750, Warrendale, PA 2003 Y6.9.1Google Scholar
9Woirgard, J.Dargenton, J-C.: An alternative method for penetration depth determination in nanoindentation measurements. J. Mater. Res. 12(9), 2455 1997CrossRefGoogle Scholar
10Sneddon, I.N.: The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 1965Google Scholar
11Pharr, G.M., Oliver, W.C.Brotzen, F.R.: On the generality of the relationship among contact stiffness, contact area, and the elastic modulus during indentation. J. Mater. Res. 7(3), 613 1992Google Scholar
12Cheng, Y-T., Li, Z.Cheng, C-M.: Scaling relationships for indentation measurements. Philos. Mag. A 82, 1821 2002CrossRefGoogle Scholar
13Tho, K.K., Swaddiwudhipong, S., Liu, Z.S., Zeng, K.Hua, J.: Uniqueness of reverse analysis from conical indentation tests. J. Mater. Res. 19(8), 2498 2004CrossRefGoogle Scholar