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An expanding cavity model incorporating pile-up and sink-in effects

Published online by Cambridge University Press:  01 December 2011

Xavier Hernot  and
Olivier Bartier
Xavier Hernot*
Affiliation:
L.A.R.M.A.U.R-Indentation, E.A. 42.82, Université de Rennes 1, 35402 Rennes Cedex, France
Olivier Bartier
Affiliation:
L.A.R.M.A.U.R-Indentation, E.A. 42.82, Université de Rennes 1, 35402 Rennes Cedex, France
*
a)Address all correspondence to this author. e-mail: Xavier.Hernot@univ-rennes1.fr
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Abstract

A new expanding cavity model (ECM) for describing conical indentation of elastic-ideally plastic material is developed. For the proposed ECM, it is assumed that the volume of material displaced by the indenter is equal to the volume loss, due to elastic deformation, in the material and depends on the pile-up or sink-in. It was shown that the proposed ECM matches very well numerical data in the final portion of the transition regime for which the contact pressure lies between approximately 2.5Y and 3Y. For material of large E/Y ratio, the new ECM also provides results which are very close to the numerical data in the plastic-similarity regime (regime in which Cf = 3). For material of smaller E/Y ratio, the proposed ECM gives better results than the Johnson’s ECM because pile-up or sink-in is taken into account.

Keywords

NanoindentationSimulationHardness
Type
Articles
Information
Journal of Materials Research , Volume 27 , Issue 1: Focus Issue: Instrumented Indentation , 14 January 2012 , pp. 132 - 140
Copyright
Copyright © Materials Research Society 2011

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References

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