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An analytical approach for relating hardness and yield strength for materials with high ratio of yield strength to Young modulus

Published online by Cambridge University Press:  01 February 2011

Luc J. Vandeperre
Affiliation:
Ceramics Laboratory, Department of Materials Science and Metallurgy, University of Cambridge, Cambridge, CB2 3QZ, United Kingdom
Finn Giuliani
Affiliation:
Ceramics Laboratory, Department of Materials Science and Metallurgy, University of Cambridge, Cambridge, CB2 3QZ, United Kingdom
William J. Clegg
Affiliation:
Ceramics Laboratory, Department of Materials Science and Metallurgy, University of Cambridge, Cambridge, CB2 3QZ, United Kingdom
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Abstract

For materials with a high ratio of Y to the elastic modulus, E, experimental data show that the ratio of the hardness to the flow stress decreases from 3 toward 1 as Y / E increases. This behaviour is predicted by finite element calculations but to date analytical expressions have not been able to correctly predict the relation between Y and H nor have they been able to show how the geometry of the indenter is important. Therefore, in this paper the correlation between H and Y for such materials is re-examined using an analytical approach to provide a physical interpretation, which explains the trends observed.

Type
Research Article
Copyright
Copyright © Materials Research Society 2005

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References

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