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An improved energy method for determining Young’s modulus by instrumented indentation using a Berkovich tip

Published online by Cambridge University Press:  31 January 2011

Dejun Ma ,
Chung Wo Ong  and
Taihua Zhang
Dejun Ma
Affiliation:
Department of Mechanical Engineering, The Academy of Armored Forces Engineering, Beijing 100072, People’s Republic of China
Chung Wo Ong*
Affiliation:
Department of Applied Physics and Materials Research Center, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, People’s Republic of China
Taihua Zhang
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, People’s Republic of China
*
a)Address all correspondence to this author. e-mail: [email protected]
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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 Vr and a height bluntness ratio hr. A set of functional relationships correlating nominal hardness/reduced elastic modulus ratio (Hn/Er) and elastic work/total work ratio (We/W) were established based on dimensional analysis and finite element simulations, with each relationship specified by a set of Vr and hr. 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
Type
Articles
Information
Journal of Materials Research , Volume 23 , Issue 8 , August 2008 , pp. 2106 - 2115
Copyright
Copyright © Materials Research Society 2008

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