Skip to main content Accessibility help
×
Home

Determination of mechanical properties by nanoindentation independently of indentation depth measurement

  • Gaylord Guillonneau (a1), Guillaume Kermouche (a2), Sandrine Bec (a3) and Jean-Luc Loubet (a3)

Abstract

A new technique based on the detection of the amplitude of the second harmonic was described in a previous paper. To compute the elastic modulus and the hardness of materials, the technique uses only the derivative of the contact radius with respect to the indentation depth. For this reason, this method is applicable only to homogeneous materials. In this paper, the method is extended to any materials with constant Young modulus. The indentation depth value is not needed at all, thus eliminating uncertainties related to the displacement measurement, which are very influent at small penetration depths. Furthermore, we also explain how to compute the indentation depth from the detection of the amplitude of the second harmonic. This new measurement technique was tested on three samples: fused silica, Poly(methyl methacrylate) (PMMA), and calcite, which is expected to exhibit indentation size effect. The obtained results show that mechanical properties and the indentation depth can be determined with good accuracy for penetration depths between 25 and 100 nm using this method.

Copyright

Corresponding author

a)Address all correspondence to this author. e-mail: gaylord.guillonneau@ec-lyon.fr

References

Hide All
1.Tabor, D.: The Hardness of Metals (Oxford University Press, Oxford, UK, 2000).
2.Tabor, D.: The hardness of solids. Rev. Phys. Technol. 1, 145179 (1970).
3.Bulychev, S.I., Alekhin, V.P., Shorshorov, M.K., Ternovskii, A.P., and Shnyrev, G.D.: Determining Young modulus from the indenter penetration diagram. Ind. Lab. 41, 14091412 (1975). (English translation of Zavodskaya Laboratoriya).
4.Loubet, J.L., Bauer, M., Tonck, A., Bec, S., and Gauthier-Manuel, B.: Nano-indentation with a surface force apparatus. In Mechanical Properties and Deformation of Materials Having Ultra-Fine Microstructure. (NATO ASI Series - Series E : Applied Sciences, vol. 233, Dordrecht, Netherlands, 1993); pp. 7289.
5.Loubet, J.L., Georges, J.M., and Meille, G.: Vickers Indentation Curves of Elastoplastic Materials. Microindentation Techniques in Materials Science and Engineering (American Society for Testing and Materials, Philadelphia, PA, 1986); pp. 7289.
6.Oliver, 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, 15641583 (1992).
7.Pharr, G.M. and Bolshakov, A.: Understanding nanoindentation unloading curves. J. Mater. Res. 17, 26602671 (2002).
8.Oliver, W.C. and Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology. J. Mater. Res. 19, 320 (2004).
9.Doerner, M.F. and Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601609 (1986).
10.Pethica, J.B., Hutchings, R., and Oliver, W.C.: Hardness measurement at penetration depths as small as 20-nm. Philos. Mag. A 48, 593606 (1983).
11.Asif, S.A.S., Wahl, K.J., and Colton, R.J.: Nanoindentation and contact stiffness measurement using force modulation with a capacitive load-displacement transducer. Rev. Sci. Instrum. 70, 24082413 (1999).
12.Guillonneau, G., Kermouche, G., Bec, S., and Loubet, J-L.: Extraction of mechanical properties with second harmonic detection for dynamic nanoindentation testing. Exp. Mech. 52, 933944 (2012).
13.Sneddon, I.N.: The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 4757 (1965).
14.Lucas, B.N., Oliver, W.C., Pharr, G.M., and Loubet, J-L.: Time dependent deformation during indentation testing, in Thin Films: Stresses and Mechanical Properties VI, edited by Gerberich, W.W., Gao, H., Sundgren, J-E., and Baker, S.P. (Mater. Res. Soc. Symp. Proc. 436, Pittsburgh, PA, 1997); p. 233.
15.Fischer-Cripps, A.C.: Nanoindentation (Springer-Verlag New York Inc., New York, NY, 2002).
16.King, R.B.: Elastic analysis of some punch problems for a layered medium. Int. J. Solids Struct. 23, 16571664 (1987).
17.Bec, S., Tonck, A., Georges, J-M., Georges, E., and Loubet, J.-L.: Improvements in the indentation method with a surface force apparatus. Philos. Mag. A 74, 1061 (1996).
18.Hochstetter, G., Jimenez, A., and Loubet, J.L.: Strain-rate effects on hardness of glassy polymers in the nanoscale range. Comparison between quasi-static and continuous stiffness measurements. J. Macromol. Sci. Part B Phys. 38, 681 (1999).
19.Pharr, G.M., Oliver, W.C., and Brotzen, F.R.: On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation. J. Mater. Res. 7, 613617 (1992).
20.Zügner, S., Marquardt, K., and Zimmermann, I.: Influence of nanomechanical crystal properties on the comminution process of particulate solids in spiral jet mills. Eur. J. Pharm. Biopharm. 62, 194201 (2006).
21.Pharr, G.M., Strader, J.H., and Oliver, W.C.: Critical issues in making small-depth mechanical property measurements by nanoindentation with continuous stiffness measurement. J. Mater. Res. 24, 653666 (2009).
22.Broz, M., Cook, R., and Whitney, D.: Microhardness, toughness, and modulus of Mohs scale minerals. Am. Mineral. 91, 135142 (2006).
23.Whitney, D.L., Broz, M., and Cook, R.F.: Hardness, toughness, and modulus of some common metamorphic minerals. Am. Mineral. 92, 281288 (2007).
24.Schuh, C.A., Packard, C.E., and Lund, A.C.: Nanoindentation and contact-mode imaging at high temperatures. J. Mater. Res. 3, 725736 (2006).

Keywords

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed