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Influence of Nanoindenter Tip Radius on the Estimation of the Elastic Modulus

Published online by Cambridge University Press:  23 March 2011

Karim R. Gadelrab
Affiliation:
Laboratory for Energy and NanoScience (LENS), Masdar Institute, United Arab Emirates (UAE)
Matteo Chiesa
Affiliation:
Laboratory for Energy and NanoScience (LENS), Masdar Institute, United Arab Emirates (UAE)
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Abstract

Nanoindentation results are very sensitive to tip rounding and neglecting the value of the tip radius produces erroneous estimation of the material elastic properties. In this study we investigate the effect of tip radius on the estimation of the Elastic modulus by means of finite element analysis of Berkovich and conical tips with different tip radii. Our numerical results were already supported by an experimental study on fused silica with Berkovich tips with different tip radii. The use of classical Oliver Pharr equation overestimated the Elastic modulus. A new analytical model that modifies the Oliver Pharr equation to consider the value of the tip radius is employed to derive the Elastic modulus from load displacement curves yielding improved results compared to the classical Oliver Pharr equation.

Type
Research Article
Copyright
Copyright © Materials Research Society 2011

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References

REFERENCES

1. Sneddon, I.N., Boussinesq’s problem for a rigid cone. Mathematical Proceedings of the Cambridge Philosophical Society, 1948. 44(04): p. 492507.Google Scholar
2. Oliver, W. and Pharr, G., Improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments . Journal of Materials Research, 1992. 7(6): p. 15641583.Google Scholar
3. Oliver, W. and Pharr, G., Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology . J. Mater. Res, 2004. 19(3).Google Scholar
4. Gadelrab, K.R., , A.B., and Chiesa, M., The Effect of Tip Rounding in Estimating the Elastic Modulus by means of Nanoindentation . Mechanics of Materials (Submitted), 2010.Google Scholar
5. Martin, M., , M.T., Fundamental relations used in nanoindentation: Critical examination based on experimental measurements . Material Research Society, 2002. 17(9): p. 8.Google Scholar
6. Fischer-Cripps, A., Nanoindentation. 2004: Springer Verlag.Google Scholar
7. Lichinchi, M., et al. , Simulation of Berkovich nanoindentation experiments on thin films using finite element method . Thin solid films, 1998. 312(1-2): p. 240248.Google Scholar
8. Shim, S., Oliver, W., and Pharr, G.. A critical examination of the Berkovich vs. conical indentation based on 3D finite element calculation. 2005.Google Scholar
9. Johnson, K., Contact mechanics. 1987: Cambridge Univ Pr.Google Scholar