Journal of Materials Science

, Volume 45, Issue 9, pp 2530–2533 | Cite as

Analytical relationship among nominal hardness, reduced Young’s modulus, the work of indentation, and strain hardening exponent

  • Dejun Ma
  • Chung Wo Ong
In an instrumented indentation test, the reduced modulus is expressed as:
$$ E_{\text{r}} = {\frac{\sqrt \pi }{2\beta }}{\frac{{S_{\text{u}} }}{{\sqrt {A(h_{\text{cm}} )} }}} $$


Finite Element Simulation Indentation Depth Elastic Contact Instrument Indentation Conical Indenter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The authors acknowledge the support of the National Natural Science Foundation of China (10672185).


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringThe Academy of Armored Forces EngineeringBeijingPeople’s Republic of China
  2. 2.Department of Applied Physics and Materials Research CenterThe Hong Kong Polytechnic UniversityHong KongPeople’s Republic of China

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