Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-24T21:33:35.975Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of adhesion energy on the contact stiffness in nanoindentation

Published online by Cambridge University Press:  03 March 2011

Fuqian Yang
Fuqian Yang*
Affiliation:
Department of Chemical and Materials Engineering, University of Kentucky, Lexington, Kentucky 40506
*
a) Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

The effect of surface interaction on nanoindentation testing using a rigid conical indenter is analyzed. A relation between the indentation depth and the indentation load is established as a function of the adhesion energy between the indenter and the surface of an elastic material. A closed-form solution of the contact stiffness for adhesive contact is obtained. The contact stiffness in the presence of surface interaction is always less than that for contact without surface interaction at the same indentation depth, while it is always larger than that for adhesion-less contact subjected to the same indentation load. A lower bound is established, which determines the working zone to operate to avoid the effect of surface interaction in the characterization of the contact modulus.

Keywords

AdhesionElastic properties
Type
Articles
Information
Journal of Materials Research , Volume 21 , Issue 10 , October 2006 , pp. 2683 - 2688
Copyright
Copyright © Materials Research Society 2006

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

1.Johnson, K.L., Kendall, K., Roberts, A.D.: Surface energy and contact of elastic solids. Proc. R. Soc. London A 324, 301 (1971).Google Scholar
2.Hertz, H. In Miscellaneous Papers (Macmillan, London, UK, 1896), p. 146.Google Scholar
3.Maugis, D., Barquins, M.: Fracture mechanics and adherence of viscoelastic bodies. J. Phys. D: Appl. Phys. 11, 1989 (1978).CrossRefGoogle Scholar
4.Yang, F.Q., Zhang, X.Z., Li, J.C.M.: Adhesive contact between a rigid sticky sphere and an elastic half space. Langmuir 17, 716 (2001).CrossRefGoogle Scholar
5.Yang, F.Q.: Adhesive contact between a rigid axisymmetric indenter and an incompressible elastic thin film. J. Phys. D: Appl. Phys. 35, 2614 (2002).CrossRefGoogle Scholar
6.Yang, F.Q.: Effect of adsorption on nanoindentation test. Appl. Phys. Lett. 80, 959 (2002).CrossRefGoogle Scholar
7.Fischer-Cripps, A.C.: Nanoindentation (Springer-Verlag, New York, 2002).CrossRefGoogle Scholar
8.Spence, D.A.: Self similar solutions to adhesive contact problems with incremental loading. Proc. Roy. Soc. A, 305, 55 (1968).Google Scholar
9.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, 47 (1965).CrossRefGoogle Scholar
10.Maugis, D., Barquins, M.: Adhesive contact of a conical punch on an elastic half-space. J. Phys. Lett. 42, L95 (1981).CrossRefGoogle Scholar
11.Yang, F.Q., Zhang, X.Z., Li, J.C.M. Adhesion of a rigid cylinder to an incompressible film, in Fundamentals of Nanoindentation and Nanotribology II, edited by Baker, S.P., Cook, R.F., Corcoran, S.G., and Moody, N.R. (Mater. Res. Soc. Symp. Proc. 649, Warrendale, PA, 2001), pp. Q6.5.1–Q6.5.7.Google Scholar
12.Kendall, K.: Adhesion and surface energy of elastic solids. J. Phys. D: Appl. Phys. 4, 1186 (1971).CrossRefGoogle Scholar
13.Yang, F.Q., Li, J.C.M.: Adhesion of a rigid punch to an incompressible elastic film. Langmuir 17, 6524 (2001).CrossRefGoogle Scholar
14.Yang, F.Q.: Adhesive contact between an elliptical flat ended punch and an elastic half space. J. Phys. D: Appl. Phys. 38, 1211 (2005).CrossRefGoogle Scholar
15.Yang, F.Q.: Thickness effect on the indentation of an elastic layer. Mater. Sci. Eng., A 358, 226 (2003).CrossRefGoogle Scholar
16.Oliver, 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, 1564 (1992).CrossRefGoogle Scholar