The Hertzian contact of surfaces covered with metallic films

El-Sherbiney, M.G.D.; Halling, J.

doi:10.1016/0043-1648(76)90124-1

Cited by 61 publications

(18 citation statements)

References 8 publications

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“…The contact areas in the film and substrate can be found by evaluating Eqs. [7] and [8], respectively, using the limits of integration given by Eq. [11].…”

Section: Discussionmentioning

confidence: 99%

The Frictional Behavior of Thin Halide Films on Iron

Gao

Kotvis

2004

Tribology Transactions

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The frictional behavior of thin (<1 µm) sodium chloride, potassium chloride, and potassium iodide films deposited onto iron has been measured in ultrahigh vacuum. It has been shown previously that the friction coefficient decreases from the value for clean iron (∼2) to a minimum when the surface is covered by a monolayer film, and this is referred to as regime one. A second regime is identified in this work for films up to 0.3 µm thick, where the friction coefficient increases with film thickness due to the increased contact area with the rough tribopin. The friction coefficient in this regime obeys Amontons' law. A third regime is found for films thicker than 0.3 µm when the pin is completely supported by the film. Here, the contact behaves elastically, leading to a friction coefficient that varies as (film thickness). Amontons' law is no longer obeyed in this regime where now the friction coefficient is proportional to 1/ (normal load).

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“…The contact areas in the film and substrate can be found by evaluating Eqs. [7] and [8], respectively, using the limits of integration given by Eq. [11].…”

Section: Discussionmentioning

confidence: 99%

The Frictional Behavior of Thin Halide Films on Iron

Gao

Kotvis

2004

Tribology Transactions

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“…El-Sherbiney and Halling [8] and Wang and Lakes [9] also studied this problem. The expressions for contact radius and approach between the elastic indenter and the thick (h/a > 1.5) layer bonded to the rigid substrate are given by [4] (see also [8]),…”

Section: Studies On Coating Problemsmentioning

confidence: 96%

“…In this case, quantities d 0c , a 0c , and p 0c are used to non-dimensionalize d, a, and p. Vorovich and Ustinov [3] obtained approximate solutions, equation (8) in Section 1, for contact characteristics for thick layers (s > 1.5). Matthewson [5] derived a simple solution, equation (10), for contact radius for thin layers (s < 0.5), when the layer is incompressible.…”

Section: Rigid Substrates Cases In Circular Point Contactmentioning

confidence: 98%

“…h/a is as small as 0.05) layers. Ogilvy [12] presented a curve-fitted expression based on the approximate results obtained by El-Sherbiney and Halling [8]. It should be noted that different interpretations from the original definitions are questionably applied to film thickness and reduced modulus ratio.…”

Section: Studies On Coating Problemsmentioning

confidence: 98%

“…El-Sherbiney and Halling [8] proposed correction factors in the form of a decreasing function of H ¼ h/a 0c , to take into consideration the elasticity of the substrate. Surprisingly, the substrate properties do not influence the two factors.…”

Section: Studies On Coating Problemsmentioning

confidence: 99%

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

et al. 2005

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This paper presents a work on extending the Hertz theory for circular and elliptical point contact problems involving coated bodies. The extended form of the Hertzian formulae are adopted to express maximum contact pressure, contact radius, and contact approach in terms of applied load, equivalent radius, and an extended equivalent modulus that properly considers the presence of a coating. The extended equivalent modulus is a function of Young's moduli and Poisson's ratios of the coating and the substrate, coating thickness, and a parameter, which is obtained through substantial numerical simulation. The extended Hertzian formulae are easy to use and give accurate predictions of contact characteristics.

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Methods of Nanoindentation Testing

Mechanical Engineering Series

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The Hertzian contact of surfaces covered with metallic films

Cited by 61 publications

References 8 publications

The Frictional Behavior of Thin Halide Films on Iron

The Frictional Behavior of Thin Halide Films on Iron

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

Methods of Nanoindentation Testing

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