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Inverse scaling functions in nanoindentation with sharp indenters: Determination of material properties

Published online by Cambridge University Press:  01 April 2005

Lugen Wang ,
M. Ganor  and
S.I. Rokhlin
Lugen Wang
Affiliation:
Laboratory for Multiscale Materials Processing and Characterization, Edison Joining Technology Center, The Ohio State University, Columbus, Ohio 43221
M. Ganor
Affiliation:
Laboratory for Multiscale Materials Processing and Characterization, Edison Joining Technology Center, The Ohio State University, Columbus, Ohio 43221
S.I. Rokhlin*
Affiliation:
Laboratory for Multiscale Materials Processing and Characterization, Edison Joining Technology Center, The Ohio State University, Columbus, Ohio 43221
*
a) Address all correspondence to this author. e-mail: [email protected]
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Abstract

This paper, based on extensive finite element simulations and scaling analysis, presents scaling functions for the inverse problem in nanoindentation with sharp indenters to determine material properties from nanoindentation response. All the inverse scaling functions were directly compared with results calculated using the large deformation finite element method and are valid from the elastic to the full plastic regimes. To relate the material properties to measurable indentation parameters a new nondimensional experimental parameter Λ=P/(DS) was introduced, where P is load, D is indentation depth, and S is contact stiffness. This parameter is monotonically related to the ratio of yield stress to modulus. The modulus, hardness and yield stress are presented as explicit functions of Λ and the strain hardening exponent. The error in the inverse modulus, hardness, and yield stress due to uncertainty of the strain hardening exponent was studied and is compared with that of the traditional Oliver–Pharr method. The method of determining the strain hardening exponent from measurement with an additional indenter with a different cone apex angle is described. For this, a scaling function with the strain hardening exponent as the only unknown was obtained. In this way, the modulus, hardness, yield stress and strain hardening exponent may be determined. Experimental results show the inversion method permits the modulus and hardness to be accurately determined irrespective of the effects of pileup or sink-in.

Keywords

Elastic propertiesHardnessNanoindentation
Type
Research Article
Information
Journal of Materials Research , Volume 20 , Issue 4 , April 2005 , pp. 987 - 1001
Copyright
Copyright © Materials Research Society 2005

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References

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