A contact area function for Berkovich nanoindentation: Application to hardness determination of a TiHfCN thin film

Chicot, Didier; N'Jock, Michel Yetna; Puchi-Cabrera, E.S.; Iost, Alain; Staia, M.H.; Louis, G.; Bouscarrat, G.; Aumaitre, R.

doi:10.1016/j.tsf.2014.02.044

Cited by 45 publications

(19 citation statements)

References 32 publications

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“…The leading term describes a perfect pyramidal indenter which can be sometimes also considered as a free parameter; the others describe deviations from the conical geometry due to the bluntness of the indenter tip. To reduce the number of constants and to provide them a physical meaning, numerous contact area functions have been proposed based on polynomials of second degree depending on the contact depth (Chicot et al, 2014). To avoid the introduction of fitting parameters or to reduce them, Where h b can be determined by regression analysis of the experimental data or estimated from microscopic observations at very high magnifications.…”

Section: Conventional Methodmentioning

confidence: 99%

“…On the other hand, the complex polynomial function proposed by Oliver and Pharr (1992) which is without any doubt the most precise function is commonly applied in nanoindentation with the continuous stiffness measurement mode. An alternative function has been proposed by Chicot et al (2014) to be relevant from 10 nm in-depth with only one fitting parameter which is the truncated tip defect length.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

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Work-of-indentation coupled to contact stiffness for calculating elastic modulus by instrumented indentation

N'Jock

Roudet

Idriss

et al. 2016

Mechanics of Materials

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International audienceElastic modulus of a large variety of materials: low-carbon steel, rolled and rapid prototyping stainless steels, aluminum, brass, beta tricalcium phosphate (β-TCP) bioceramic and the TiB2–60% B4C composite ceramic were determined by Vickers instrumented indentation tests. A relationship the ratio of elastic recovery energy to total work-of-indentation and the product of the maximum applied load and the square of the contact stiffness is proposed to assess the elastic modulus of materials. A proportionality factor κ defining pile-up or sink-in behavior has been validated by both the Finite Element (FE) analysis and inverse method for a material presenting an intermediate mechanical behavior. Values obtained for elastic modulus agree satisfactorily with theoretical values found in literature. The main advantage of the proposed relationship in the determination of the elastic modulus is that it does not require the computation of the contact area between the indenter and the material which is often at the origin of uncertainties

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Section: Conventional Methodmentioning

confidence: 99%

Section: Accepted Manuscriptmentioning

confidence: 99%

Work-of-indentation coupled to contact stiffness for calculating elastic modulus by instrumented indentation

N'Jock

Roudet

Idriss

et al. 2016

Mechanics of Materials

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“…For all the advantages that the instrumented indentation test presents, from being a local quasi non-destructive test able to contribute in the case of complex geometries problems [25,26], to being applicable for different types of materials (treated steels [27], composite materials [8], polymers [28][29][30], glass [31,32] and coatings [33][34][35]), this test is gaining ground in many industrial applications.…”

Section: Introductionmentioning

confidence: 99%

Determining the stress level of monotonic plastically pre-hardened metal sheets using the spherical instrumented indentation technique

et al. 2019

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In this paper, a methodology, for calculating the stress level of monotonic plastically pre-hardened materials, using the instrumented indentation technique (IIT) coupled to the inverse analysis technique (IAT) is presented. In this methodology, the Voce work-hardening law is always considered as the work hardening law of the studied material. This methodology has shown a very good efficiency in determining the stress levels and the plastic strains undergone by two pre-hardened pseudo-materials. That was encouraging for applying this methodology on real metal sheets. Three metal sheets were studied (DC01 and DP600 steels and aluminum alloy 2017). In the case of the as-received sheets, the identified laws show precise results for plastic strains between 3% and 6% which correspond approximately to the representative strain in the case of spherical indentation. Tensile samples were then pre-hardened by imposing a monotonic plastic strain. Three levels of plastic pre-strains were imposed. Concerning low pre-hardening levels, very satisfying results were obtained where this methodology showed a great efficiency in determining the stress level and the plastic pre-strain undergone by the pre-hardened sheet. For high pre-hardening levels, a small underestimation of the stress level and the plastic pre-strain was obtained. In this latter case, work is being carried out to improve the results by enriching the experimental data provided for the inverse analysis computations.

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“…La relation développée par Chicot et al [11] (Eq. (6)) permetégalement d'estimer l'aire de contact pour des profondeurs très faibles (<200 nm) dans le cas où la méthode CSM n'est pas disponible sur l'instrument utilisé.…”

Section: Introductionunclassified

Indentation instrumentée multi-échelles appliquée à l’étude des matériaux massifs métalliques

Kossman

Chicot

Iost

2017

Matériaux & Techniques

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Résumé -L'essai d'indentation instrumentée est une technique très utilisée car elle permet d'estimer les propriétés mécaniques des matériaux comme la dureté et le module de Young. Cetteétude sur l'indentation multi-échelles (de 5 mNà 2 kN) aété réalisée sur des matériaux métalliques massifs (acier, acier inoxydable et aluminium) avec trois instruments : nano, micro et macro indenteurs, et différents types d'essais : classique, CSM et multicyclique. Nous avons constaté que, pour estimer les propriétés mécaniques, il est nécessaire de prendre en compte la correction du défaut de pointe et aussi de la complaisance du bâti quelle que soit l'échelle de mesure, et donc quelle que soit la conception de l'instrument pour la mesure du déplacement. Dans ces conditions, en considérant ces corrections, le module de Young reste quasi constant dans tout le domaine de forceétudié (<12 %), et est doncà ce titre une propriété intrinsèque. Par contre, la dureté décroit lorsque la charge augmente, ce qui est classiquement attribuéà l'effet de taille en indentation, mais qui peut aussiêtre imputé au mode de déformation autour de l'empreinte, au bourrelet prédominant (pile-up) pour leséchantillons en acier et aluminium, età la déflection des faces (sink-in) pour l'acier inoxydable. Mots clés : Indentation multi-échelles / module de Young / dureté / modes de déformationAbstract -Instrumented multiscale indentation applied to the study of bulk metallic materials. The instrumented indentation test (ITT) is a largely used technique, because it allows to estimate the mechanical properties of materials, as hardness and Young's modulus. This study about multi-scale ITT (from 5 mN to 2 kN) was performed on bulk metallic materials (steel, stainless steel and aluminum) using three instruments: nano, micro and macro indenter, and different kinds of test: standard, CSM and multicycle. We have found that for the estimation of the mechanical properties, it is necessary to consider the correction of the frame compliance and tip defect, for all the scales of measurement and instruments. In these conditions, considering these corrections, the Young's modulus is almost constant among all the range of studied loads (<12%), being an intrinsic property. On the contrary, the hardness decreases while increasing the load, which is typically attributed to the indentation size effect, but also it can be related to the deformation around the imprint, pile-up for the samples of steel and aluminum, and sink-in for the stainless steel.

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A contact area function for Berkovich nanoindentation: Application to hardness determination of a TiHfCN thin film

Cited by 45 publications

References 32 publications

Work-of-indentation coupled to contact stiffness for calculating elastic modulus by instrumented indentation

Work-of-indentation coupled to contact stiffness for calculating elastic modulus by instrumented indentation

Determining the stress level of monotonic plastically pre-hardened metal sheets using the spherical instrumented indentation technique

Indentation instrumentée multi-échelles appliquée à l’étude des matériaux massifs métalliques

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