Progress in determination of the area function of indenters used for nanoindentation

Herrmann, Konrad; Jennett, N M; Wegener, Wolfgang; Meneve, J.; Hasche, K.; Seemann, R.

doi:10.1016/s0040-6090(00)01367-5

Cited by 146 publications

(74 citation statements)

References 4 publications

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“…For example, Hermann et al [10,11] proposed the plot of the square root of the theoretical contact area as a linear function of the contact depth as follows:…”

Section: Brief Description Of the Existing Contact Area Functionsmentioning

confidence: 99%

“…where R is the effective tip radius, thus giving physical meaning to the coefficients a and b of the relationship proposed by Hermann et al [10,11] in Eq. (5).…”

Section: Brief Description Of the Existing Contact Area Functionsmentioning

confidence: 99%

“…Consequently, to avoid this limitation, some authors [10][11][12][13][14][15][16] have proposed the use of a simple polynomial of second degree, in which some physical meaning has been attributed to the different parameters involved. These authors have usually employed two parameters: i) one, which describes the angle deviation from the theoretical effective conical angle of 70.32°and ii) a second one, which concerns the tip defect and which can be represented by the effective truncation length or the radius of the rounded indenter tip.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2014

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“…For example, Hermann et al [10,11] proposed the plot of the square root of the theoretical contact area as a linear function of the contact depth as follows:…”

Section: Brief Description Of the Existing Contact Area Functionsmentioning

confidence: 99%

“…where R is the effective tip radius, thus giving physical meaning to the coefficients a and b of the relationship proposed by Hermann et al [10,11] in Eq. (5).…”

Section: Brief Description Of the Existing Contact Area Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2014

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“…Within this objective, a variety of models describing the contact area function have been developed [20,[40][41][42][43][44][45][46][47]. In nanoindentation, the complex area function expressing the contact area as a function of the contact indenter displacement is probably the most used: where C 1 through C 8 are constants.…”

Section: Indentation On Massive Materialsmentioning

confidence: 99%

An analysis of the elastic properties of a porous aluminium oxide film by means of indentation techniques

Hemmouche¹,

Chicot²,

Amrouche³

et al. 2013

Materials Science and Engineering: A

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. a b s t r a c tThe elastic modulus of thin films can be directly determined by instrumented indentation when the indenter penetration does not exceed a fraction of the film thickness, depending on the mechanical properties of both film and substrate. When it is not possible, application of models for separating the contribution of the substrate is necessary. In this work, the robustness of several models is analyzed in the case of the elastic modulus determination of a porous aluminium oxide film produced by anodization of an aluminium alloy. Instrumented indentation tests employing a Berkovich indenter were performed at a nanometric scale, which allowed a direct determination of the film elastic modulus, whose value was found to be approximately 11 GPa. However, at a micrometric scale the elastic modulus tends toward the value corresponding to the substrate, of approximately 73 GPa. The objective of the present work is to apply different models for testing their consistency over the complete set of indentation data obtained from both classical tests in microindentation and the continuous stiffness measurement mode in nanoindentation. This approach shows the continuity between the two scales of measurement thus allowing a better representation of the elastic modulus variation between two limits corresponding to the substrate and film elastic moduli. Gao's function proved to be the best to represent the elastic modulus variation.

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“…[5][6][7][8][9] The real indenter does not match its ideal shape. Imperfections are created already during the indenter's fabrication and the indenter is progressively worn with usage.…”

Section: Introductionmentioning

confidence: 99%

Characterization of structural materials by spherical indentation

Čech¹,

Haušild²,

Kovářík³

2017

Mater. Tehnol.

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Nano-indentation with spherical indenters is a method of mechanical properties characterization that could be used for the determination of stress-strain curves. A necessary condition for an evaluation of the results is an exact knowledge of the indenter shape. In this study, the shapes of two spherical indenters with a nominal radius of 20 μm were investigated by atomic force microscopy and by indentation into materials with a known Young´s modulus. It was found that the actual indenter differs from the ideal shape and it is affected by the crystallographic orientation of the diamond crystal. The effective radius determined from the indentation measurements depends on the material deformation characteristics and it was lower than the actual radius. The computed representative stress vs. representative strain curves of steel samples were significantly affected by the actual radii of the investigated indenters. Keywords: nano-indentation, spherical indenter, actual indenter shape, representative stress, representative strain curves Nanoindentacija s sferi~nimi vtiskovalci je metoda karakterizacije mehanskih lastnosti, ki se lahko uporablja za ugotovitev napetostno-deformacijske krivulje. Pogoj za oceno rezultatov je to~no dolo~eno poznavanje stanja vtiskovalca. V {tudiji sta bili raziskovana dva sferi~na vtiskovalca z nominalnim radijem 20 ìm, ki sta bila raziskovana z AFM in z vtiskovanjem v material z Youngovim modulom. Ugotovljeno je bilo, da se doti~ni vtiskovalec razlikuje od idealne oblike in, da nanj vpliva kristalografska orientacija diamantnega kristala. Efektivni radij, ugotovljen z meritvami vtiskovanja je odvisen od deformacije karakteristik materiala in je bil ni`ji od dejanskega radija. Izra~unane reprezentativne napetostne krivulje jeklenih vzorcev so bile ob~utno pod vplivom dejanskih radijev preiskovanih vtiskovalcev.

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Progress in determination of the area function of indenters used for nanoindentation

Cited by 146 publications

References 4 publications

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

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

An analysis of the elastic properties of a porous aluminium oxide film by means of indentation techniques

Characterization of structural materials by spherical indentation

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