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A response to—“Comment on the evaluation of the constant β relating the contact stiffness to the contact area in nanoindentation for sphero-conical indenters:” Comment to paper “Penetration depth and tip radius dependence on the correction factor in nanoindentation measurements” by J.M. Meza et al. [J. Mater. Res. 23(3), 725 (2008)]

Published online by Cambridge University Press:  20 March 2012

Juan Manuel Meza ,
Fazilay Abbes ,
Jaime Alexis Garcia Guzman  and
Michel Troyon
Juan Manuel Meza
Affiliation:
Materials Science and Technology Group, CTM, School of Materials Engineering, National University of Colombia, Medellin, Colombia
Fazilay Abbes
Affiliation:
Laboratoire de Microscopies et d’Étude de Nanostructures, EA 3799, Université de Reims Champagne Ardenne, 51685 Reims Cedex 2, France
Jaime Alexis Garcia Guzman
Affiliation:
Grupo de Investigacion en Nuevos Materiales (GINuMa) Universidad Pontificia Bolivariana, Medellin, Colombia
Michel Troyon*
Affiliation:
Laboratoire de Microscopies et d’Étude de Nanostructures, EA 3799, Université de Reims Champagne Ardenne, 51685 Reims Cedex 2, France
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

The signification of the correction factor β that we defined for elastic material [J.M. Meza et al. J. Mater. Res.23(3), 725, (2008)] does not correspond to that of factor β in the Sneddon relationship between unloading contact stiffness, elastic modulus, and contact area as remarked by Durst et al. in their Comment (doi:10.1557/jmr.2012.41). To complete the results of Durst et al., the calculation of β is extended to a larger penetration depth range. It is shown that β depends on the depth to tip radius ratio, h/R, and on the Poisson’s ratio according to dimensionless analysis. The variation range of β is about 1.02–1.09 for 0.3 < h/R < 3 for purely elastic materials but can be much larger in case of elastic–plastic materials as shown [F. Abbes et al. J. Micromech. Microeng.20, 65003 (2010)].

Keywords

Nanoindentation
Type
Comments and Reply
Information
Journal of Materials Research , Volume 27 , Issue 8 , 28 April 2012 , pp. 1208 - 1210
Copyright
Copyright © Materials Research Society 2012

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References

REFERENCES

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