Analysis of Berkovich indentation

Larsson, Per-Lennart; Giannakopoulos, A.E.; Söderlund, E.; Rowcliffe, D. J.; Vestergaard, Ras K.

doi:10.1016/0020-7683(95)00033-7

Cited by 323 publications

(191 citation statements)

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“…(4) and are referred to as "microhardness." Provided hardness is consistently reported in the same units and with the area calculated in the same manner, measurements made with Berkovich and Vickers indenters are found to have quite good agreement, largely due to the fact that both indenters are selfsimilar with a nearly identical relationship between projected area and indentation depth [5,34,35].…”

Section: Microindentation Testingmentioning

confidence: 61%

“…Vickers hardness, VH, was calculated by dividing the applied force (in kg) by the indent surface area (in mm 2 ) [5] in the standard manner. However, for a comparison between the nanohardness, the Vickers hardness were converted to the units of GPa and a hardness, H micro , based on a projected contact area of the Vickers indenter [5,17,34,35]:…”

Section: Microindentation Testingmentioning

confidence: 99%

“…Other defects may have led to hardness loss for the bulk material such as porosity, or grain boundary sliding or microcracking. Some part of the hardness loss may also be related to the small differences between the Berkovich and Vickers indenters [5,35].…”

Section: Formulation Of a Hardness Loss Parametermentioning

confidence: 99%

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Mechanical behavior of Ti cold spray coatings determined by a multi-scale indentation method

Goldbaum

Ajaja

Chromik

et al. 2011

Materials Science and Engineering: A

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Section: Microindentation Testingmentioning

confidence: 61%

Section: Microindentation Testingmentioning

confidence: 99%

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Mechanical behavior of Ti cold spray coatings determined by a multi-scale indentation method

Goldbaum

Ajaja

Chromik

et al. 2011

Materials Science and Engineering: A

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“…but there are no exact analytical expressions for pyramidal tip indentation. Numerical studies [6,7] have suggested that a correction factor 1.034 should be used to correct the modulus values predicted from conical tip to match the results obtained from a pyramidal tip. 20 (2002) [806][807][808][809][810] The indentation modulus of an anisotropic material in any direction can be predicted by using its anisotropic elastic constants.…”

Section: Tlieoreticul Methodsmentioning

confidence: 99%

Anisotropic properties of human tibial cortical bone as measured by nanoindentation

Zhang

Swadener

Rho

et al. 2002

Journal Orthopaedic Research

216

133

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The purpose of this study was to investigate the effects of elastic anisotropy on nanoindentation measurements in human tibial cortical bone. Nanoindentation was conducted in 12 different directions in three principal planes for both osteonic and interstitial lamellae. The experimental indentation modulus was found to vary with indentation direction and showed obvious anisotropy (oneway analysis of variance test, P < 0.0001). Because experimental indentation modulus in a specific direction is determined by all of the elastic constants of cortical bone, a complex theoretical model is required to analyze the experimental results. A recently developed analysis of indentation for the properties of anisotropic materials was used to quantitatively predict indentation modulus by using the stiffness matrix of human tibial cortical bone, which was obtained from previous ultrasound studies. After allowing for the effects of specimen preparation (dehydrated specimens in nanoindentation tests vs. moist specimens in ultrasound tests) and the structural properties of bone (different microcomponents with different mechanical properties), there were no statistically significant differences between the corrected experimental indentation modulus (M,:np) values and corresponding predicted indentation modulus (M,J values (two-tailed unpaired t-test, P > 0.5). The variation of M,,, values was found to exhibit the same trends as the corrected McTp data. These results show that the effects of anisotropy on nanoindentation measurements can be quantitatively evaluated.

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“…Generally, finite element (FE) simulations have been shown to be a powerful tool for more sophisticated analyses and can be used to extract quantitative information on the stress-strain behaviour from nanoindentation data [7][8][9][10]. Also, FE methods combined with dimensional analysis have been used to extract mechanical properties of materials [11][12][13] and scaling relationships for indentation were determined [14].…”

Section: Introductionmentioning

confidence: 99%

On the analysis of the stress–strain behaviour of thin metal films on substrates using nanoindentation

Huber

Tyulyukovskiy

Kraft

2006

Philosophical Magazine

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the analysis of the stress-strain behaviour of thin metal films on substrates using nanoindentation. Philosophical Magazine, Taylor & Francis, 2006, 86 (33-35) AbstractBased on load-depth data, as measured by nanoindentation with a Berkovich tip, stress-strain curves of metal films (Al, Cu, and Ti) with thickness of 1 to 4 µm were determined. This socalled inverse analysis was carried out using a neural network approach. The method uses hardness and stiffness data from indentation into the film/substrate composite with a depth range of 10 to 200% of the film thickness, and yields the material parameters describing a non-linear elastic-plastic stress-strain curve of the Armstrong-Frederick type. It is shown that the method can only be applied if a sufficient difference in film and substrate hardness is present. For all films investigated, a significant dependence of the film strength on its microstructure, as characterized by focused ion beam microscopy, has been found.

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Analysis of Berkovich indentation

Cited by 323 publications

References 0 publications

Mechanical behavior of Ti cold spray coatings determined by a multi-scale indentation method

Mechanical behavior of Ti cold spray coatings determined by a multi-scale indentation method

Anisotropic properties of human tibial cortical bone as measured by nanoindentation

On the analysis of the stress–strain behaviour of thin metal films on substrates using nanoindentation

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