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Updated: Dec 25, 2025

Quantitative Hardness Measurement by Instrumented AFM-indentation
Published on: November 22, 2016
Determination of an Objective Criterion for the Assessment of the Feasibility of an Instrumented Indentation Test on
Julie Marteau1, Abdeljalil Jourani1, Maxence Bigerelle2
1Laboratoire Roberval FRE-CNRS 2012, Centre de Recherches de Royallieu, Sorbonne Université, Université de Technologie de Compiègne, 60200 Compiègne, France.
Abstract:
The influence of roughness on the results of indentation testing was investigated using a semianalytical model. This model used simulated surfaces that were described using three standard roughness parameters: the root-mean-square deviation Sq, the wavelength (or cut-off of Gaussian high-pass filter), and the fractal dimension. It was shown that Sq had the largest effect on the determination of the macrohardness, while the surface wavelength and fractal dimension had negligible effects at the scale of investigation. The error of determination of the macrohardness rose with the increase of the ratio Sq/hmax where hmax was the maximum indentation depth: Sq/hmax ratios lower than 0.02 were required to obtain a systematic error of the macrohardness lower than 5%, whatever the examined material mechanical properties (in elasticity and plasticity).
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