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Theoretical analysis of the relationships between hardness, elastic modulus, and the work of indentation for work-hardening materials

Published online by Cambridge University Press:  31 January 2011

Rong Yang ,
Taihua Zhang  and
Yihui Feng
Rong Yang
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China; and Graduate University of Chinese Academy of Sciences, Beijing 100049, China
Taihua Zhang*
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Yihui Feng
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China; and Graduate University of Chinese Academy of Sciences, Beijing 100049, China
*
a)Address all correspondence to this author. e-mail: zhangth@lnm.imech.ac.cn.
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Abstract

In our previous paper, the expanding cavity model (ECM) and Lamé solution were used to obtain an analytical expression for the scale ratio between hardness (H) to reduced modulus (Er) and unloading work (Wu) to total work (Wt) of indentation for elastic-perfectly plastic materials. In this paper, the more general work-hardening (linear and power-law) materials are studied. Our previous conclusions that this ratio depends mainly on the conical angle of indenter, holds not only for elastic perfectly-plastic materials, but also for work-hardening materials. These results were also verified by numerical simulations.

Keywords

NanoindentationHardnessStress/Strain Relationship
Type
Materials Communications
Information
Journal of Materials Research , Volume 25 , Issue 11 , November 2010 , pp. 2072 - 2077
Copyright
Copyright © Materials Research Society 2010

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References

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