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Compensating for elastic deformation of the indenter in hardness tests of very hard materials

Published online by Cambridge University Press:  31 January 2011

Roger Yu Lo  and
David B. Bogy
Roger Yu Lo
Affiliation:
Computer Mechanics Laboratory, Department of Mechanical Engineering, University of California, Berkeley, California 94720
David B. Bogy*
Affiliation:
Computer Mechanics Laboratory, Department of Mechanical Engineering, University of California, Berkeley, California 94720
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

The current method of analysis for hardness measurements by indentation is examined. Although the method is based on Sneddon's solution for an elastic stress field within a homogeneous half space indented by an elastically deformable indenter, it implicitly assumes a fixed indenter geometry. Therefore, if indentations are made on materials whose hardness or elastic modulus are close to those of the indenter, this method underestimates the contact area and, thus, overestimates the hardness and modulus values of the indented materials. A new method, based on the Hertz contact theory, is proposed that accounts for the elastic deformation of the indenter and provides a simple way to calculate the tip radius. The restrictions of this method are also indicated and discussed. Finally, the hardness and modulus for two recently developed films are measured by this method, and the results are compared with published finite element method (FEM) results.

Type
Articles
Information
Journal of Materials Research , Volume 14 , Issue 6 , June 1999 , pp. 2276 - 2282
Copyright
Copyright © Materials Research Society 1999

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References

REFERENCES

1.Sneddon, I. N., Int. J. Eng. Sci. 3, 47–57 (1965).Google Scholar
2.Pharr, G. M., Oliver, W. C., and Brotzen, F. R., J. Mater. Res. 7, 613–617 (1992).Google Scholar
3.Johnson, K.L., Contact Mechanics (Cambridge University Press, New York, 1985).Google Scholar
4.Lu, C-J., Bogy, D.B., and Kaneko, R., J. Tribol. 116, 175–180 (1994).Google Scholar
5.Lo, R.Y. and Bogy, D. B., Technical Report No. 97–017, Computer Mechanics Laboratory, Department of Mechanical Engineering, University of California, Berkeley (1997).Google Scholar
6.Monteiro, O.R., Delplancke-Ogletree, M. P., Lo, R. Y., Winand, R., and Brown, L., Surf. Coat. Technol. 94–95 (1–3), 220–225 (1997).Google Scholar
7.Pharr, G.M., Callahan, D. L., McAdams, S.D., Tsui, T. Y., Anders, S., Anders, A., Ager, J. W. III, Brown, I.G., Bhatia, C. S., Silva, S. R. P., and Robertson, J., Appl. Phys. Lett. 68 (6), 779–781 (1996).Google Scholar
8.Follstaedt, D.M., Knapp, J. A., Myers, S. M., Dugger, M., Friedmann, T.A., Sullivan, J. P., Monteiro, O. R., Ager, J. W. III, Brown, I. G., and Christenson, T., Fall Meeting of Materials Research Society (1997).Google Scholar
9.Knapp, J. A., Follstaedt, D.M., Barbour, J. C., and Myers, S.M., Nucl. Instrum. Methods Phys. Res., Sec. B 127, 935–939 (1997).Google Scholar