W. Oliver and G. Pharr, Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology, Journal of Materials Research, vol.522, issue.01, pp.3-20, 2004.
DOI : 10.1557/JMR.1992.0618

A. Fischer-cripps, Critical review of analysis and interpretation of nanoindentation test data, Surface and Coatings Technology, vol.200, issue.14-15, pp.4153-65, 2006.
DOI : 10.1016/j.surfcoat.2005.03.018

A. Fischer-cripps, A review of analysis methods for sub-micron indentation testing, Vacuum, vol.58, issue.4, pp.569-85, 2000.
DOI : 10.1016/S0042-207X(00)00377-8

C. Ullner, Requirement of a robust method for the precise determination of the contact point in the depth sensing hardness test, Measurement, vol.27, issue.1, pp.43-51, 2000.
DOI : 10.1016/S0263-2241(99)00054-8

G. Pharr, Measurement of mechanical properties by ultra-low load indentation, Materials Science and Engineering: A, vol.253, issue.1-2, pp.151-160, 1998.
DOI : 10.1016/S0921-5093(98)00724-2

S. Kalidindi and S. Pathak, Determination of the effective zero-point and the extraction of spherical nanoindentation stress???strain curves, Acta Materialia, vol.56, issue.14, pp.3523-3555, 2008.
DOI : 10.1016/j.actamat.2008.03.036

P. Brammer, O. Bartier, X. Hernot, G. Mauvoisin, and S. Sablin, An alternative to the determination of the effective zero point in instrumented indentation: Use of the slope of the indentation curve at indentation load values, Materials & Design, vol.40, pp.356-63, 2012.
DOI : 10.1016/j.matdes.2012.04.013
URL : https://hal.archives-ouvertes.fr/hal-00865915

M. Bigerelle, P. Mazeran, and M. Rachik, The first indenter-sample contact and the indentation size effect in nano-hardness measurement, Materials Science and Engineering: C, vol.27, issue.5-8, pp.1448-51, 2007.
DOI : 10.1016/j.msec.2006.09.031

J. Marteau, P. Mazeran, S. Bouvier, and M. Bigerelle, Zero-Point Correction Method for Nanoindentation Tests to Accurately Quantify Hardness and Indentation Size Effect, Strain, vol.55, issue.287, pp.491-498, 2012.
DOI : 10.1111/j.1475-1305.2012.00846.x

J. Marteau, M. Bigerelle, Y. Xia, P. Mazeran, and S. Bouvier, Quantification of first contact detection errors on hardness and indentation size effect measurements, Tribology International, vol.59, pp.154-62, 2013.
DOI : 10.1016/j.triboint.2012.06.029

Y. Xia, M. Bigerelle, J. Marteau, P. Mazeran, S. Bouvier et al., Effect of surface roughness in the determination of the mechanical properties of material using nanoindentation test, Scanning, vol.17, issue.287, pp.134-183, 2014.
DOI : 10.1002/sca.21111
URL : https://hal.archives-ouvertes.fr/hal-01169539

M. Bigerelle, T. Mathia, and S. Bouvier, The multi-scale roughness analyses and modeling of abrasion with the grit size effect on ground surfaces, Wear, vol.286, issue.287, pp.124-159, 2012.
DOI : 10.1016/j.wear.2011.08.006

M. Bigerelle, A. Van-gorp, and A. Iost, Multiscale roughness analysis in injection-molding process, Polymer Engineering & Science, vol.261, issue.3-4, pp.1725-1761, 2008.
DOI : 10.1002/pen.21131
URL : https://hal.archives-ouvertes.fr/hal-00838675

O. Vingsbo, S. Hogmark, B. Jçönsson, and A. Ingemarsson, Indentation Hardness of Surface-Coated Materials, 1986.
DOI : 10.1520/STP32963S

E. Bernhardt, On microhardness of solids at the limit of Kick's similarity law, Z Met, vol.33, pp.135-179, 1941.

M. Bigerelle and K. Anselme, Bootstrap analysis of the relation between initial adhesive events and long-term cellular functions of human osteoblasts cultured on biocompatible metallic substrates, Acta Biomaterialia, vol.1, issue.5, pp.499-510, 2005.
DOI : 10.1016/j.actbio.2005.06.001

. Fig, Simulated curves after the optimization using the proposed model equation (5) with considering or neglecting the initial contact error for specimen S4 In the treatment, the systemic origin shift is equal to 0 nm or 500 nm and the ISE factor is equal to À 1000, 0 or 1000 mN/nm. The curve obtained considering the initial contact error is shown in bold while the thin curve is obtained assuming this error is equal to zero

G. Carter, I. Bevan, I. Katardjiev, and M. Nobes, The erosion of copper by reflected sandblasting grains, Materials Science and Engineering: A, vol.132, pp.231-237, 1991.
DOI : 10.1016/0921-5093(91)90379-2

A. Iost and R. Bigot, Indentation size effect: reality or artefact?, Journal of Materials Science, vol.41, issue.13, pp.3573-3580, 1996.
DOI : 10.1007/BF00360764

Y. Lee, J. Hahn, S. Nahm, J. Jang, and D. Kwon, Investigations on indentation size effects using a pile-up corrected hardness, Journal of Physics D: Applied Physics, vol.41, issue.7, p.74027, 2008.
DOI : 10.1088/0022-3727/41/7/074027

J. Kim, S. Kang, J. Lee, J. Jang, Y. Lee et al., Influence of surface-roughness on indentation size effect, Acta Materialia, vol.55, issue.10, pp.3555-62, 2007.
DOI : 10.1016/j.actamat.2007.02.006

H. Ho, Y. Xia, J. Marteau, and M. Bigerelle, Influence de l???amplitude de la rugosit?? de surfaces sabl??es sur la mesure de duret?? par nanoindentation, Mat??riaux & Techniques, vol.101, issue.3, pp.305-319, 2013.
DOI : 10.1051/mattech/2013070