Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-28T03:38:18.828Z Has data issue: false hasContentIssue false
  • English
  • Français

Energy dissipated during spherical indentation

Published online by Cambridge University Press:  03 March 2011

Jürgen Malzbender
Jürgen Malzbender*
Affiliation:
Forschungszentrum Jülich GmbH, Institute for Materials and Processes in Energy Systems, 52425 Jülich, Germany
*
a)Address all correspondence to this author.e-mail: J.Malzbender@fz-juelich.de
Get access

Abstract

A relationship is derived for spherical indentation relating the dissipated energy to the ratio of hardness to elastic modulus and the ratio of indentation depth to radius. The result agrees with recent findings obtained on the basis of scaling relationships in combination with finite element simulations. Furthermore, relationships are given for hardness, elastic modulus and contact area, which permit a determination of these properties independent of the strain hardening characteristics and independent of pileup and sink-in.

Keywords

Elastic propertiesHardnessIndentation
Type
Rapid Communications
Information
Journal of Materials Research , Volume 19 , Issue 6 , June 2004 , pp. 1605 - 1607
Copyright
Copyright © Materials Research Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Oliver, 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).CrossRefGoogle Scholar
2Oliver, 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).CrossRefGoogle Scholar
3Malzbender, J. and de With, G.: The P-h(2) relationship in indentation. J. Mater. Res. 17, 502 (2002).CrossRefGoogle Scholar
4Malzbender, J.: Comment on hardness definitions. J. Euro. Ceram. Soc. 23, 1355 (2003).CrossRefGoogle Scholar
5Cheng, Y-T. and Cheng, C-M.: Relationships between hardness, elastic modulus, and the work of indentation. Appl. Phys. Lett. 73, 614 (2003).CrossRefGoogle Scholar
6Cheng, Y-T., Li, Z. and Cheng, C-M.: Scaling relationships for indentation measurements. Phil. Mag. A 82, 1821 2002 .CrossRefGoogle Scholar
7Thurn, J. and Cook, R.F.: Indentation-induced deformation at ultramicroscopic and macroscopic contacts. J. Mater. Res. 19, 124 (2004).CrossRefGoogle Scholar
8Ni, 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).CrossRefGoogle Scholar
9Shorshorov, M.K., Bulychev, S.I. and Alekin, V.P.: The work of plastic and elastic-deformation during indicator impression. Sov. Phys. Dokl. 26, 769 (1981).Google Scholar
10Malzbender, J.: Comment on “Densification energy during nanoindentation of silica glass.” J. Am. Ceram. Soc. 86, 2237 (2003).CrossRefGoogle Scholar
11Hay, 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
12Malzbender, J. and de With, G.: Energy dissipation, fracture toughness and the indentation load-displacement curve of coated materials. Surf. Coat. Technol. 135, 60 (2000).CrossRefGoogle Scholar
13Johnson, K.L.: Contact Mechanics (Cambridge University Press, Cambridge, U.K., 1985)CrossRefGoogle Scholar
14Hay, J.L. and Wolff, P.J.: Small correction required when applying the Hertzian contact model to instrumented indentation data. J. Mater. Res. 16, 1280 (2001).CrossRefGoogle Scholar