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A quantitative analysis for the stress field around an elastoplastic indentation/contact

Published online by Cambridge University Press:  31 January 2011

Gang Feng ,
Shaoxing Qu ,
Yonggang Huang  and
William D. Nix
Gang Feng*
Affiliation:
Division of Engineering, Brown University, Providence, Rhode Island 02904; and Department of Materials Science and Engineering, Stanford University, Stanford, California 94305
Shaoxing Qu
Affiliation:
Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China; and International Center for New-Structured Materials, Zhejiang University, Hangzhou 310027, China
Yonggang Huang
Affiliation:
Department of Civil and Environmental Engineering and Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 61208
William D. Nix
Affiliation:
Department of Materials Science and Engineering, Stanford University, Stanford, California 94305
*
a) Address all correspondence to this author. e-mail: gang.feng@villanova.edu
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Abstract

In our previous paper [Feng et al., Acta Mater.55, 2929 (2007)], an analytical model is proposed to estimate the stress field around an elastoplastic indentation/contact, matching nicely with the finite element analysis. The model is related to an embedded center of dilatation (ECD) in a half-space. In this paper, we focus on determining the ECD strength B* and the ECD depth ξ. By matching an expanding cavity model and the ECD model, we find that B* ≈ Yc3/6 and ξ ≈ 0.4c, where Y is the yield strength and c is the plastic zone radius. We provide a method to predict Y, c, and thereby B* as well as ξ through nanoindentation data, and we also demonstrate that pileup is the physical reason for the existence of the upper limit for the ratio of hardness to Y. Thus, our ECD model is completed by combining our previous paper (the analytical expression) and this paper (the essential parameters).

Keywords

FractureHardnessNanoindentation
Type
Articles
Information
Journal of Materials Research , Volume 24 , Issue 3 , March 2009 , pp. 704 - 718
Copyright
Copyright © Materials Research Society 2009

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References

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