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)].
References
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Meza, J.M., Abbes, F., Guzman, J.A.G. et al. 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)]. Journal of Materials Research 27, 1208–1210 (2012). https://doi.org/10.1557/jmr.2012.44
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DOI: https://doi.org/10.1557/jmr.2012.44