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Analysis of sharp-tip-indentation load–depth curve for contact area determination taking into account pile-up and sink-in effects

Published online by Cambridge University Press:  01 November 2004

Yeol Choi ,
Ho-Seung Lee  and
Dongil Kwon
Yeol Choi*
Affiliation:
School of Materials Science and Engineering, Seoul National University, Seoul 151-742, Korea
Ho-Seung Lee
Affiliation:
School of Materials Science and Engineering, Seoul National University, Seoul 151-742, Korea
Dongil Kwon
Affiliation:
School of Materials Science and Engineering, Seoul National University, Seoul 151-742, Korea
*
a)Address all correspondence to this author. e-mail: yariman@snu.ac.kr or ychoi@frontics.com
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Abstract

Hardness and elastic modulus of micromaterials can be evaluated by analyzing instrumented sharp-tip-indentation load–depth curves. The present study quantified the effects of tip-blunting and pile-up or sink-in on the contact area by analyzing indentation curves. Finite-element simulation and theoretical modeling were used to describe the detailed contact morphologies. The ratio f of contact depth, i.e., the depth including elastic deflection and pile-up and sink-in, to maximum indentation depth, i.e., the depth measured only by depth sensing, ignoring elastic deflection and pile-up and sink-in, was proposed as a key indentation parameter in evaluating real contact depth during indentation. This ratio can be determined strictly in terms of indentation-curve parameters, such as loading and unloading slopes at maximum depth and the ratio of elastic indentation energy to total indentation energy. In addition, the value of f was found to be independent of indentation depth, and furthermore the real contact area can be determined and hardness and elastic modulus can be evaluated from f. This curve-analysis method was verified in finite-element simulations and nanoindentation experiments.

Keywords

HardnessIndentationNanoindentation
Type
Articles
Information
Journal of Materials Research , Volume 19 , Issue 11 , November 2004 , pp. 3307 - 3315
Copyright
Copyright © Materials Research Society 2004

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References

REFERENCES

1Tsui, T.Y. and Pharr, G.M.: Substrate effects on nanoindentation mechanical property measurement of soft films on hard substrates. J. Mater. Res. 14, 292 (1999).CrossRefGoogle Scholar
2Randall, N.X.: Direct measurement of residual contact area and volume during the nanoindentation of coated materials as an alternative method of calculating hardness. Philos. Mag. A 82, 1883 (2002).CrossRefGoogle Scholar
3Choi, Y., Choo, W.Y., Choi, J.K. and Kwon, D.: Analysis of mechanical property distribution in multiphase ultra-fine-grained steels by nanoindentation. Scripta Mater. 45, 1401 (2001).CrossRefGoogle Scholar
4Oliver, W.C. and Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).CrossRefGoogle Scholar
5Hay, J.C., Bolshakov, A. and Pharr, G.M.: A critical examination of the fundamental relations used in the analysis of nanoindentation data. J. Mater. Res. 14, 2296 (1999).CrossRefGoogle Scholar
6Pharr, G.M. and Bolshakov, A.: Understanding nanoindentation unloading curves. J. Mater. Res. 17, 2660 (2002).CrossRefGoogle Scholar
7Bolshakov, A. and Pharr, G.M.: Influences of pileup on the measurement of mechanical properties by load and depth-sensing indentation techniques. J. Mater. Res. 13, 1049 (1998).CrossRefGoogle Scholar
8Hay, J.L., Oliver, W.C., Bolshakov, A. and Pharr, G.M.: Using the ratio of loading slope and elastic stiffness to predict pileup and constraint factor during indentation, inFundamentals 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. 101Google Scholar
9Oliver, W.C. and Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation: Advanced in understanding and refinements to methodology. J. Mater. Res. 19, 3 (2004).CrossRefGoogle Scholar
10McElhaney, K.W., Vlassak, J.J. and Nix, W.D.: Determination of indenter tip geometry and indentation contact area for depth-sensing indentation experiments. J. Mater. Res. 13, 1300 (1998).CrossRefGoogle Scholar
11Mencik, J. and Swain, M.V.: Errors associated with depth-sensing microindentation tests. J. Mater. Res. 10, 1491 (1995).CrossRefGoogle Scholar
12Sun, Y., Zheng, S., Bell, T. and Smith, J.: Indenter tip radius and load frame compliance calibration using nanoindentation loading curves. Philos. Mag. Lett. 79, 649 (1999).CrossRefGoogle Scholar
13Sawa, T. and Tanaka, K.: Simplified method for analyzing nanoindentation data and evaluating performance of nanoindentation instruments. J. Mater. Res. 16, 3084 (2001).CrossRefGoogle Scholar
14Loubet, J.L., Georges, J.M. and Meille, G.: Vickers indentation curves of elastoplastic materials, ASTM STP 889 (ASTM, Philadelphia, PA, 1986), p. 72Google Scholar
15Hainsworth, S.V., Chandler, H.W. and Page, T.F.: Analysis of nanoindentation load-displacement loading curves. J. Mater. Res. 11, 1987 (1996).CrossRefGoogle Scholar
16King, R.B.: Elastic analysis of some punch problems for a layered medium. Int. J. Solids Struct. 23, 1657 (1987).CrossRefGoogle Scholar
17Cheng, Y. and Li, Z.: Scaling relationships for indentation measurements. Philos. Mag. A 82, 1821 (2002).CrossRefGoogle Scholar
18Marx, V. and Balke, H.: A critical investigation of the unloading behavior of sharp indentation. Acta Mater. 45, 3791 (1997).CrossRefGoogle Scholar
19Giannakopoulos, A.E. and Suresh, S.: Determination of elastoplastic properties by instrumented sharp indentation. Scripta Mater. 40, 1191 (1999).CrossRefGoogle Scholar
20Xu, Z.H. and Rowcliffe, D.: Method to determine the plastic properties of bulk materials by nanoindentation. Philos. Mag. A 82, 1893 (2002).CrossRefGoogle Scholar
21Cheng, Y-T. and Cheng, C-M.: Relationships between hardness, elastic modulus, and the work of indentation. Appl. Phys. Lett. 73, 614 (1998).CrossRefGoogle Scholar
22Malzbender, J. and de With, G.: Indentation load-displacement curve, plastic deformation, and energy. J. Mater. Res. 17, 502 (2002).CrossRefGoogle Scholar
23Mata, M., Anglada, M. and Alcala, J.: Contact deformation regimes around sharp indentations and the concept of the characteristic strain. J. Mater. Res. 17, 964 (2002).CrossRefGoogle Scholar
24Meyers, M.A. and Chawla, K.K.: Mechanical Behavior of Materials (Prentice Hall, Englewood Cliffs, NJ, 1999), p. 61Google Scholar
25Son, D., Jeong, J-h. and Kwon, D.: Film-thickness considerations in microcantilever-beam test in measuring mechanical properties of metal thin film. Thin Solid Films 437, 182 (2003).CrossRefGoogle Scholar