Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/6923
Title: An improved energy method for determining Young’s modulus by instrumented indentation using a Berkovich tip
Authors: Ma, D
Ong, CW 
Zhang, T
Issue Date: Aug-2008
Source: Journal of materials research, Aug. 2008, v. 23, no. 8, p. 2106-2115
Abstract: We previously proposed a method for estimating Young’s modulus from instrumented nanoindentation data based on a model assuming that the indenter had a spherical-capped Berkovich geometry to take account of the bluntness effect. The method is now further improved by releasing the constraint on the tip shape, allowing it to have a much broader arbitrariness to range from a conical-tipped shape to a flat-ended shape, whereas the spherical-capped shape is just a special case in between. This method requires two parameters to specify a tip geometry, namely, a volume bluntness ratio V[sub r] and a height bluntness ratio h[sub r]. A set of functional relationships correlating nominal hardness/reduced elastic modulus ratio (H[sub n]/E[sub r]) and elastic work/total work ratio (W[sub e]/W) were established based on dimensional analysis and finite element simulations, with each relationship specified by a set of V[sub r] and h[sub r]. Young’s modulus of an indented material can be estimated from these relationships. The method was shown to be valid when applied to S45C carbon steel and 6061 aluminum alloy.
Keywords: Elastic properties
Elasticity
Mathematical models
Publisher: Cambridge University Press
Journal: Journal of materials research 
ISSN: 0884-2914
EISSN: 2044-5326
DOI: 10.1557/JMR.2008.0257
Rights: © 2008 Materials Research Society
The following article "Dejun Ma, Chung Wo Ong and Taihua Zhang (2008). An improved energy method for determining Young’s modulus by instrumented indentation using a Berkovich tip. Journal of Materials Research, 23(8), pp 2106-2115. doi:10.1557/JMR.2008.0257." is available at http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=7954500
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