A critical examination of the fundamental relations used in the analysis of nanoindentation data

Hay, John C.; Bolshakov, A.; Pharr, George M.

doi:10.1557/jmr.1999.0306

Cited by 400 publications

(222 citation statements)

References 21 publications

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“…By means of a three-dimensional simulation of a sharp indentation, β takes the value of 1.05 which is almost independent on the material [36]. The second correction factor γ introduced by Hay et al [37] only depends on the Poisson's ratio as follows:…”

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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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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“…In the context of a perfect elastic contact Hay et al [5] show that the correction factor depends on the Poisson's ratio. Studies by Cheng and Cheng [6] and Dao et al [7], using dimensional analysis and finite element calculations in the case of elastic/plastic materials with work hardening, demonstrate also the existence of this correction factor, suggesting that it also depends on the elastoplastic properties of the material.…”

mentioning

confidence: 99%

About the importance of introducing a correction factor in the Sneddon relationship for nanoindentation measurements

Troyon

Lafaye

2006

Philosophical Magazine

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To cite this version:Michel Troyon, Sébastien Lafaye. About the importance of introducing a correction factor in the Sneddon relationship for nanoindentation measurements. Philosophical Magazine, Taylor & Francis, 2006, 86 (33-35) AbstractIn the Sneddon relationship between unloading contact stiffness, elastic modulus and contact area, it is absolutely necessary to introduce a correction factor α to perform good elastic modulus and hardness measurements by nanoindentation. This is verified in the present paper by comparing the contact area determined from the Sneddon equation in the usual way, to the projected area of the residual indent measured by AFM. For the fused quartz indented by a sharp Berkovich indenter, the tip radius of which is 180 nm, a α value as high as 1.17-1.19 is evaluated for a load of 10 mN corresponding to a penetration depth of about 300 nm. This correction factor is not a constant having a single value valid for any Berkovich indenter, but strongly depends on the blunting state of the indenter when measurements are performed in the nanoindentation regime, i.e. penetration depths of the order of a few hundreds nanometers.

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“…As a result of nanoindentation experiments, load-displacement curves were obtained and two mechanical characteristics of substrate and investigated films -indentation hardness (HIT) and indentation modulus (EIT) -were calculated using Oliver & Pharr approximation method [5,6]. The results we receive are objectively limited by the load / penetration potential of the used indenter(maximum load=500mN).…”

Section: Fig1 Sem Micrograph Of Electrochemically Deposited Copper Fmentioning

confidence: 99%

Study of the mechanical properties of single- layer and multi-layer metallic coatings with protective-decorative applications

et al. 2018

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Abstract. Single thin coating of matt nickel (Nimat), a mirror bright copper (Cubright), a mirror bright nickel (Nibright) and their combinations were electrochemically deposited on brass substrate with thickness 500 µm. The basic aim was electrodeposition of two-layer Cubright/Nimat and Nibright/Cubright systems, and three-layer Nibright Cubrigh/Nimat system, which are among the most widely applied protective and decorative systems in light and medium operating conditions of corrosion. The thicknesses of the obtained films varied from 1 µm to 3.25 µm. They were investigated via nanoindentation experiments, in order to characterize their basic physical and mechanical characteristics, related with their good adhesion and corrosion protective ability, as well as ensuring the integrity of the system "protective coating/substrate" to possible mechanical, dynamic and/or thermal stresses. As a result, load-displacement curves were obtained and indentation hardness and indentation modulus were calculated using the Oliver & Pharr approximation method. The dependence of the indentation modulus and the indentation hardness on the depth of the indentation, surface morphology and structure of the obtained coatings, their texture and surface roughness were investigated too. The obtained results showed that the three-layer Nibright/Cubright /Niimat/CuZn37 system has highest indentation modulus and indentation hardness, following by two-layer Nibright/Cubright system and single layer coatings.

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A critical examination of the fundamental relations used in the analysis of nanoindentation data

Cited by 400 publications

References 21 publications

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

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

About the importance of introducing a correction factor in the Sneddon relationship for nanoindentation measurements

Study of the mechanical properties of single- layer and multi-layer metallic coatings with protective-decorative applications

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