Skip to main content Accessibility help

Comment on the determination of mechanical properties from the energy dissipated during indentation

  • Jürgen Malzbender (a1)


Based on a comparison of relationships between the energy dissipated during indentation and the ratio of hardness to elastic modulus, a procedure is outlined to determine hardness and elastic modulus from the ratio of the elastic to total energy dissipated during an indentation cycle for non-ideal indenters.


Corresponding author

a Address all correspondence to this author. email:


Hide All
1.Oliver, W.C. and Pharr, G.M.: An improvement technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).
2.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, 3 (2004).
3.Malzbender, J. and de With, G.: Indentation load-displacement curve, plastic deformation and energy. J. Mater. Res. 17, 502 (2002).
4.Malzbender, J.: Comment on hardness definitions. J. Eur. Ceram. Soc. 23, 1355 (2003).
5.Cheng, Y-T. and Cheng, C-M.: Relationships between hardness, elastic modulus, and the work of indentation. Appl. Phys. Lett. 73, 614 (1998).
6.Cheng, Y-T. and Li, Z.: Scaling relationships for indentation measurements. Philos. Mag. A. 82, 1893 (2002).
7.Thurn, J. and Cook, R.F.: Indentation-induced deformation at ultramicroscopic and macroscopic contacts. J. Mater. Res. 19, 124 (2004).
8.Ni, W., Cheng, Y-T., Cheng, C.M. and Grummon, D.S.: An energy-based method for analyzing instrumented spherical indentation experiments. J. Mater. Res. 19, 149 (2004).
9.Malzbender, J.: The energy dissipated during spherical indentation. J. Mater. Res. 19, 1605 (2004).
10.Choi, Y., Lee, H-S. and Kwon, D.: Analysis of sharp-tip-indentation load-depth curve for contact area determination taking into account pile-up and sink-in effects. J. Mater. Res. 19, 3307 (2004).
11.Ma, D., Ong, C.W. and Wong, S.F.: New relationship between Young’s modulus and nonideally sharp parameters. J. Mater. Res. 19, 2144 (2004).
12.Dejun, M.A., Ong, C.W., Jianmin, L. and Jiawen, H.E.: Determination of Young’s modulus by nanoindentation. Sci. China Ser. E. Eng. Mater. Sci. 47, 398 (2004).
13.Marx, V. and Balke, H.: A critical investigation of the unloading behaviour of sharp indentation. Acta Mater. 45, 3791 (1997).
14.Venkatesh, T.A., van Vleit, K.J., Ginnakopoulos, A.E. and Suresh, S.: Determination of elasto-plastic properties by instrumented sharp indentation: Guidelines for property extraction. Scripta Mater. 42, 833 (2000).
15.Dao, M., Chollacoop, N., van Vliet, K.J., Venkatesh, T.A. and Suresh, S.: Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899 (2001).
16.Tabor, D.: Hardness of Metals (Oxford Univesity Press, Oxford, U.K., 1951).
17.Johnson, K.L.: Contact Mechanics (Cambridge University Press, London, U.K., 1985).



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