Modeling of contact between rough surfaces using homogenisation technique

Saoussen Belghith; Salah Mezlini; Hedi BelhadjSalah; Jean-Louis Ligier

doi:10.1016/j.crme.2009.12.003

Modeling of contact between rough surfaces using homogenisation technique

Saoussen Belghith ¹; Salah Mezlini ¹ ; Hedi BelhadjSalah ¹; Jean-Louis Ligier ²

¹ Laboratoire génie mécanique, École nationale d'ingénieurs de Monastir, 5000 Tunisia
² RENAULT S.A., Powertrain Engineering Division, rue des Bons Raisins, 92508 Rueil Malmaison, France

Comptes Rendus. Mécanique, Volume 338 (2010) no. 1, pp. 48-61.

Abstract

In this study, microscopic deterministic and analytical contact models that take the properties of engineering surfaces into account have been developed. Geometrical characteristics of rough surfaces are deduced using the standard procedure for roughness and waviness parameters. These models allow the analyses of the asperities behaviour and real contact area. Comparison between the analytical and deterministic results shows a good correlation. The microscopic model is often enabling to simulate the real structure with complex geometry, so, a homogenisation technique has been developed. The interface of the equivalent model has been governed by the microscopic model results. Sensitivity of models responses to the random pulling of surfaces parameters has been also analysed.

Received: 2009-06-04
Accepted: 2009-11-17
Published online: 2009-12-30

DOI: 10.1016/j.crme.2009.12.003

Keywords: Contact, Rough surface, Microscopic and macroscopic scale, Homogenisation, Real contact area, Analytical and deterministic models

Author's affiliations:

Saoussen Belghith ¹; Salah Mezlini ¹; Hedi BelhadjSalah ¹; Jean-Louis Ligier ²

¹ Laboratoire génie mécanique, École nationale d'ingénieurs de Monastir, 5000 Tunisia
² RENAULT S.A., Powertrain Engineering Division, rue des Bons Raisins, 92508 Rueil Malmaison, France

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     title = {Modeling of contact between rough surfaces using homogenisation technique},
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     pages = {48--61},
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     doi = {10.1016/j.crme.2009.12.003},
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Saoussen Belghith; Salah Mezlini; Hedi BelhadjSalah; Jean-Louis Ligier. Modeling of contact between rough surfaces using homogenisation technique. Comptes Rendus. Mécanique, Volume 338 (2010) no. 1, pp. 48-61. doi : 10.1016/j.crme.2009.12.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.12.003/

References
Cited by

[1] D. Tabor The Hardness of Metals, Oxford University Press, 1951

[2] K.L. Johnson Contact Mechanics, Cambridge University Press, 1985

[3] M. Ciavarella; J.A. Greenwood; M. Paggi Inclusion of “interaction” in the Greenwood and Williamson contact theory, Wear, Volume 265 (2008), pp. 729-734

[4] J.A. Greenwood; J.B.P. Williamson Contact of nominally flat rough surfaces, Proc. R. Soc. A, Volume 295 (1966), pp. 300-319

[5] H. Hertz On the elastic contact of elastic solids, J. Reine Angew. Math., Volume 92 (1881), pp. 156-171

[6] E.J. Abbott; F.A. Firestone Specifying surface quality – A method based on accurate measurement and comparison, Mech. Eng., Volume 55 (1933), p. 569

[7] H. Zahouani; F. Sidoroff Rough surfaces and elastoplastic contact, C. R. Acad. Sci. Paris, Volume 2 (2001) no. 4, pp. 709-715

[8] F. Robbe-Valloire; R. Progri; B. Paffoni; R. Gras Modélisation de la topographie microgéometrique Application à l'écrasement de surfaces, Matériaux et techniques, Volume 3–4 (2000), pp. 33-40

[9] F. Robbe-Valloire; B. Paffoni; R. Progri Load transmission by elastic, elasto-plastic or fully plastic deformation of rough interface asperities, Mech. Mater. (2001), pp. 617-633

[10] Robert L. Jackson; Jeffery L. Streator A multi-scale model for contact between rough surfaces, Wear, Volume 261 (2006), pp. 1337-1347

[11] R.S. Sayles Basic principles of rough surface contact analysis using numerical methods, Tribol. Int., Volume 29 (1996) no. 8, pp. 639-650

[12] M. Ciavarella; C. Murolo; G. Demelio On elastic contact of rough surfaces: Numerical experiments and comparisons with recent theories, Wear, Volume 261 (2006), pp. 1102-1113

[13] M. Ciavarella; G. Demelio; J.R. Barber; Y.H. Jang Linear elastic contact of the Weierstrass profile, Proc. R. Soc. London A, Volume 456 (2000), pp. 387-405

[14] B.N.J. Persson Theory of rubber friction and contact mechanics, J. Chem. Phys., Volume 115 (2001) no. 8, pp. 3840-3861

[15] B.N.J. Persson Elastoplastic contact between randomly rough surfaces, Phys. Rev. Lett., Volume 87 (2001) no. 11 (art. No. 116101)

[16] D. Goerke; K. Willner Normal contact of fractal surfaces – Experimental and numerical investigations, Wear, Volume 264 (2008), pp. 589-598

[17] W. Everett Wilson; Santosh V. Angadi; Robert L. Jakson Surface separation and contact resistance considering sinusoidal elastic–plastic multi-scale rough surface contact, Wear, Volume 268 ( January 2010 ) no. 1–2, pp. 190-201

[18] B. Buchner; M. Buchner; B. Buchmayr Determination of the real area for numerical simulation, Tribol. Int., Volume 42 (2009), pp. 897-901

[19] International Organisation for Standardisation (ISO), NF EN ISO 12085 (1988), Spécifications géométriques des produits – Méthode du profil – Paramètres liés aux motifs

[20] F. Robbe-Valloire Statistical analysis of asperities on a rough surface, Wear, Volume 249 (2001), pp. 401-408

[21] F. Robbe-Valloire, Approche stochastique de l'analyse du contact statique entre surfaces rugueuses, Tribologie et conception mécanique, Saint-Ouen, 2004, pp. 155–165

[22] D.J. Whitehouse; J.F. Archard The properties of random surfaces of significance in their contact, Proc. R. Soc., Volume 316 (1970), pp. 97-121

[23] P.R. Nayak Random process model of rough surfaces, Journal of Lubrification Technology, Volume 93F (1971), pp. 398-407

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