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The equivalence of axisymmetric indentation model for three-dimensional indentation hardness

Published online by Cambridge University Press:  31 January 2011

J. Qin ,
Y. Huang ,
J. Xiao  and
K.C. Hwang
J. Qin
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
Y. Huang*
Affiliation:
Department of Civil and Environmental Engineering and Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 60208
J. Xiao
Affiliation:
Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 60208
K.C. Hwang
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
*
a) Address all correspondence to this author. e-mail: y-huang@northwestern.edu
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Abstract

Nix and Gao [J. Mech. Phys. Solids46, 411 (1998)] established an important relation between the microindentation hardness and indentation depth for axisymmetric indenters. We use the conventional theory of mechanism-based strain gradient plasticity [Huang et al., Int. J. Plast.20, 753 (2004)] established from the Taylor dislocation model [Taylor, Proc. R. Soc. London A145, 362 (1934); Taylor, J. Inst. Met.62, 307 (1938)] to study the Berkovich and other triangular pyramid indenters. The three-dimensional finite element analysis shows that the widely used equivalence of equal base area leads to significant errors, particularly in microindentation. A new equivalence of equal angle is proposed for triangular pyramid indenters, and it has been validated for a large range of indenter angles and indentation depths.

Keywords

Hardness
Type
Articles
Information
Journal of Materials Research , Volume 24 , Issue 3 , March 2009 , pp. 776 - 783
Copyright
Copyright © Materials Research Society 2009

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References

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