An extension of the Hertz theory for three-dimensional coated bodies

Liu, S.B.; Peyronnel, A.; Wang, Q.J.; Keer, Leon M.

doi:10.1007/s11249-004-2757-4

Cited by 50 publications

(27 citation statements)

References 17 publications

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“…The analysis of stresses and strains in the contact load conditions of the coating/substrate systems is often carried out with the application of Hertz's theory, which is extended for such systems [28] or forms the basis of FEM modeling. [29] According to the basic assumption of Hertz's theory, the calculations must be carried out in the elastic range.…”

Section: Tribological Propertiesmentioning

confidence: 99%

Thick Low-Friction nc-MeC/a-C Nanocomposite Coatings on Ti-6Al-4V Alloy: Microstructure and Tribological Properties in Sliding Contact with a Ball

Zimowski

Moskalewicz

Wendler

et al. 2014

Metall Mater Trans A

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In this paper, we show that duplex surface treatment, combining oxygen diffusion hardening with the subsequent deposition of thick, low-friction nanocomposite nc-MeC/a-C coatings to improve the tribological properties of the Ti-6Al-4V alloy. We have synthesized, in a magnetron sputtering process, the nanocomposite nc-MeC/a-C coatings (where Me denotes W or Ti transition metal) consisting of two dissimilar materials (nanocrystallites of transition metal carbides MeC and an amorphous carbon matrix a-C). The nano and microstructure of the substrate material and coatings were examined with the use of scanning and transmission electron microscopy as well as by X-ray diffractometry. It was found that different carbide nanocrystals of the same transition metal were embedded in an amorphous carbon matrix of both coatings. The HRTEM analysis indicated that the volume fraction of tungsten carbides in the nc-WC/a-C coating was equal to 13 pct, whereas in the nc-TiC/a-C one the volume fraction of the titanium carbides was equal to just 3 pct. The tribological properties, hardness, and scratch resistance of the coatings were investigated as well. The coefficient of friction (COF) of the coatings during dry sliding against 6 mm diameter alumina ball reached very low value, 0.05, in comparison with an oxygen-hardened alloy, whose COF was equal to 0.8. This lowfriction effect of the coatings has been attributed to the formation of a self-lubricating film in sliding contact. The coatings exhibited similar failure morphology in the scratch tests. Even though the hardness was rather low, the coatings exhibited a very good wear resistance during sliding friction. The wear rate of the nc-WC/a-C coating was equal to 0.08 9 10 À6 mm 3 N À1 m À1 and for the nc-TiC/a-C one it was 0.28 9 10 À6 mm 3 N À1 m À1 .

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Section: Tribological Propertiesmentioning

confidence: 99%

Thick Low-Friction nc-MeC/a-C Nanocomposite Coatings on Ti-6Al-4V Alloy: Microstructure and Tribological Properties in Sliding Contact with a Ball

Zimowski

Moskalewicz

Wendler

et al. 2014

Metall Mater Trans A

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“…It is worth noting that a theoretical or analytical model to describe large deformation and failure behaviour of metal coated polymer particles is still missing. The reported studies in the literature used finite element modeling to analyze the response of coated spheres and focused on elastic contact and yielding inception [19,20]. These studies give indication of stresses distribution at the coating/core interface, which improve the understanding of particle deformation.…”

Section: Figurementioning

confidence: 99%

Loading rate effects on the fracture of Ni/Au nano-coated acrylic particles

He¹,

Nagao²,

Kristiansen³

et al. 2012

Express Polym. Lett.

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Abstract. Mechanical failure of monodisperse Ni/Au coated acrylic particles has been investigated by individual compression tests using nanoindentation-based technique equipped with a flat diamond punch. We have found that both fracture property and morphology of particles depend on the compression loading rate. The breaking strain of the metal coating decreases with increasing loading rate, while the breaking stress increases. Two obvious fracture patterns with cracking in meridian or latitude direction are identified according to the loading rate, and attributed respectively to tension-or bendingdominated deformation of the coating. The findings reported here give a significant guiding to the manufacture design of metal coated polymer particles for Anisotropic Conductive Adhesive (ACA) packaging.

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“…Noting that if a thin layer of coating is present, according to Liu et al (2005) a different equivalent modulus of elasticity should be used. …”

Section: Modeling Rough Surface Contactmentioning

confidence: 99%