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New Method for Determining Young’s Modulus by Non-ideally Sharp Indentation

Published online by Cambridge University Press:  01 June 2005

Dejun Ma,
Chung Wo Ong,
Sing Fai Wong and
Jiawen He
Dejun Ma
Affiliation:
Surface Engineering Research Institute, Chinese Mechanical Engineering Society, Beijing 100072, People’s Republic of China
Chung Wo Ong*
Affiliation:
Department of Applied Physics and Materials Research Center, The Hong Kong Polytechnic University, Kowloon, Hong Kong, People’s Republic of China
Sing Fai Wong
Affiliation:
Department of Applied Physics and Materials Research Center, The Hong Kong Polytechnic University, Kowloon, Hong Kong, People’s Republic of China
Jiawen He
Affiliation:
State Key Laboratory for Mechanical Behavior of Materials, Xi’an Jiaotong University, Xi’an 710049, People’s Republic of China
*
a) Address all correspondence to this author. e-mail: apacwong@inet.polyu.edu.hk
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Abstract

In a previously developed method for estimating Young’s modulus E by depth-sensing indentation with spherical-tipped Berkovich indenter, the E value is deduced from several functional relationships (established by finite element analysis) relating nominal hardness/reduced elastic modulus ratio (Hn/Er) and elastic work/total work ratio (We/W). These relationships are specified for different absolute bluntness/maximum displacement ratios (Δh/hm). This paper reports the generalization of the method by proposing a function to replace all the above mentioned Hn/Er−We/W relationships. The function contains only a parameter Vr ≡ Videal/Vblunt instead of Δh/hm, where Videal is defined as the indented volume bounded by the cross-sectional areas measured at the maximum displacement hm for an ideally sharp indenter, and Vblunt is that of the real indenter. The use of Vr to replace Δh/hm is for the purpose of extending the application of the method for non-spherical tipped Berkovich indenters. The effectiveness of the method for materials of prominent plasticity was demonstrated by performing tests on carbon steel and aluminum alloy using three Berkovich indenters with different tip shapes.

Keywords

Elastic propertiesNanoindentation

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Type
Articles
Information
Journal of Materials Research , Volume 20 , Issue 6 , June 2005, pp. 1498 - 1506
Copyright
Copyright © Materials Research Society 2005

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References

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