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On determination of material parameters from loading and unloading responses in nanoindentation with a single sharp indenter

Published online by Cambridge University Press:  01 April 2006

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

This paper quantitatively describes the loading-unloading response in nanoindentation with sharp indenters using scaling analyses and finite element simulations. Explicit forward and inverse scaling functions for an indentation unloading have been obtained and related to those functions for the loading response [L. Wang et al., J. Material Res.20(4), 987–1001 (2005)]. The scaling functions have been obtained by fitting the large deformation finite element simulations and are valid from the elastic to the full plastic indentation regimes. Using the explicit forward functions for loading and unloading, full indentation responses for a wide range of materials can be obtained without use of finite element calculations. The corresponding inverse scaling functions allow one to obtain material properties from the indentation measurements. The relation between the work of indentation and the ratio between hardness and modulus has also been studied. Using these scaling functions, the issue of nonuniqueness of the determination of material modulus, yield stress, and strain-hardening exponent from nanoindentation measurements with a single sharp indenter has been further investigated. It is shown that a limited material parameter range in the elastoplastic regime can be defined where the material modulus, yield stress, and strain-hardening exponent may be determined from only one full indentation response. The error of such property determination from scattering in experimental measurements is determined.

Keywords

Nanostructure
Type
Articles
Information
Journal of Materials Research , Volume 21 , Issue 4 , April 2006 , pp. 995 - 1011
Copyright
Copyright © Materials Research Society 2006

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References

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