Sliding contact stresses in a two-dimensional layered elastic half-space

King, R. B.; O’Sullivan, T. C.

doi:10.1016/0020-7683(87)90019-9

Cited by 131 publications

(48 citation statements)

References 10 publications

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“…It can also be seen that without the FGM transitional layer, a discontinuous stress distribution is experienced by the layered solid (as shown in figure 11(a) and (b)). This is analagous to the results we would expect to see for the case of two homogeneous yet distinct elastic layers bonded together [34]. …”

Section: The Effects Of Transition Layer Thicknessmentioning

confidence: 72%

Analysing the effects of sliding, adhesive contact on the deformation and stresses induced within a multi-layered elastic solid

Chong

Chidlow

2016

Mechanics of Materials

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Chong, WWF and Chidlow, SJAnalysing the effects of sliding, adhesive contact on the deformation and stresses induced within a multi-layered elastic solid http://researchonline.ljmu.ac.uk/7045/ Article LJMU has developed LJMU Research Online for users to access the research output of the University more effectively. Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Users may download and/or print one copy of any article(s) in LJMU Research Online to facilitate their private study or for non-commercial research. You may not engage in further distribution of the material or use it for any profit-making activities or any commercial gain.The version presented here may differ from the published version or from the version of the record. Please see the repository URL above for details on accessing the published version and note that access may require a subscription. AbstractThis paper presents a mathematical model of sliding, adhering contact between a rigid parabolic indenter and a multi-layered elastic solid, which is assumed to comprise of a homogeneous coating bonded through a functionallygraded transitional layer to a homogeneous substrate. The adhesive forces in this investigation are modelled using Lennard-Jones potential and an iterative algorithm is proposed that solves for the contact pressure, surface displacement and sub-surface stresses resultant within the layered solid. The effects of surface adhesion and different material properties such as varying coating/transition layer thickness and coating hardness on the solution of the contact problem are subsequently investigated in detail. The numerical approach presented in this paper demonstrates the significance of having a suitable mathematical representation for the traction distribution along the sliding, adhering contact. It is found that under weakly adhering conditions, the assumption of only Coulombic traction suffices to determine the displacements and subsurface stresses within the multi-layered solid. However, it is noted that stress concentrations within the material begin to propagate through all three layers of the elastic solid with increased surface adhesion, which could potentially induce plasticity and lead to material ploughing under sliding. The proposed model allows us to further investigate and improve our understanding of the combined effects of traction and boundary adhesion in sliding contacts, which can be used to inform the design of materials needed in such conditions.

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Section: The Effects Of Transition Layer Thicknessmentioning

confidence: 72%

Analysing the effects of sliding, adhesive contact on the deformation and stresses induced within a multi-layered elastic solid

Chong

Chidlow

2016

Mechanics of Materials

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“…We emphasize that this model is exact in the sense that, contrary to most previous works (see e.g. [46][47][48][49][50], [51,52] being among the exceptions), it takes full account of the normal tangential coupling at the contacting interface.…”

Section: Bidimensional Steady Sliding Frictional Contactmentioning

confidence: 99%

MEMS-based contact stress ﬁeld measurements at a rough elastomeric layer: local test of Amontons’ friction law in static and steady sliding regimes

Scheibert

Katzav

Bedia

et al. 2010

EPJ Web of Conferences

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Abstract.We present the results of recent friction experiments in which a MEMS-based sensing device is used to measure both the normal and tangential stress fields at the base of a rough elastomer film in frictional contact with smooth, rigid, glass indentors. We consider successively multicontacts under (i) static normal loading by a spherical indentor and (ii) frictional steady sliding conditions against a cylindrical indentor, for an increasing normal load. In both cases, the measured fields are compared to elastic calculations assuming (i) a smooth interface and (ii) Amontons' friction law. In the static case, significant deviations are observed which decrease with increasing load and which vanish when a lubricant is used. In the steady sliding case, Amontons' law reproduces rather satisfactorily the experiments provided that the normal/tangential coupling at the contact interface is taken into account. We discuss the origin of the difference between the Amontons fields and the measured ones, in particular the effect of the finite normal and tangential compliances of the multicontact interface.

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“…However, the development made in the experimental research in thin coatings (Bhushan and Gupta 1991) (everything from thin coating and substrate interfacial strength and adhesion, to deposition rate and resultant hardness) underlies a general lack of modeling efforts which can accurately and ef®ciently predict the coating and thin ®lm performance, including interfacial stresses and fatigue life. Although several analytical and numerical models (Chen 1971;Gupta and Wallowit 1974;Chiu and Hartnett 1983;King and O'Sullivan 1987;Komvopoulus 1989;Djabella and Arnell 1992;Kuo and Leer 1992;Mao et al 1996; for coating systems were developed by investigators in the last two decades, two limitations exist in these models. First, most of the existing models are restricted to a single thin layer system.…”

Section: Introductionmentioning

confidence: 99%

Interfacial stress analysis for multi-coating systems using an advanced boundary element method

Luo

Liu

Berger

2000

Computational Mechanics

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This paper focuses on the interfacial stress analysis for multi-coating systems using an advanced boundary element method (BEM) developed earlier in [Luo JF, Liu YJ, Berger EJ (1998) Analysis of two-dimensional thin structures (from micro-to nano-scales) using the boundary element method. Comput. Mech. 22 (5):404± 412]. The advanced BEM with thin-body capabilities for two-dimensional linear elasticity is extended to general multi-domain problems and validated by the analytical solution of a special multi-coating problem. Detailed interfacial stress analysis for a two-layer coating system under uniform load distribution is investigated, through which the in¯uence of coating thickness and material of the multi-coating system can be studied. The developed multi-coating analysis capability using the BEM provides not only a robust numerical tool for interfacial stress analysis of multi-coating systems with arbitrary coating thickness and number of coatings, but also the basis for future work concerning interface cracks, thermal effects and contact mechanics.

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Sliding contact stresses in a two-dimensional layered elastic half-space

Cited by 131 publications

References 10 publications

Analysing the effects of sliding, adhesive contact on the deformation and stresses induced within a multi-layered elastic solid

Analysing the effects of sliding, adhesive contact on the deformation and stresses induced within a multi-layered elastic solid

MEMS-based contact stress ﬁeld measurements at a rough elastomeric layer: local test of Amontons’ friction law in static and steady sliding regimes

Interfacial stress analysis for multi-coating systems using an advanced boundary element method

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