A "re-vitalized" Greenwood and Williamson model of elastic contact between fractal surfaces

Journal of the Mechanics and Physics of Solids

Volumn 54, Issue 12, 2006, Pages 2569-2591

  Ciavarella, M ^a   Delfine, V ^a   Demelio, G ^a  

^a POLITECNICO DI BARI   (Italy)

Author keywords

Contact; Fractals; Greenwood Williamson's theory; Rough surface

Indexed keywords

ELASTIC CONTACT; FRACTAL SURFACES; GEOMETRICAL FEATURES; GREENWOOD WILLIAMSON THEORY;

APPROXIMATION THEORY; ELASTICITY; ELECTRIC CONDUCTANCE; FRACTALS; MATHEMATICAL MODELS; NUMERICAL METHODS;

SURFACE ROUGHNESS;

EID: 33749591905     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2006.05.006     Document Type: Article

References (39)

1. Allwood J., and Ciftci H. An incremental solution method for rough contact problems. Wear 258 11-12 (2005) 1601-1615
2. Archard J.F. Elastic deformation and the laws of friction. Proc. R. Soc. London A243 (1957) 190-205
3. Ausloos M., and Berman D.H. A multivariate Weierstrass-Mandelbrot function. Proc. Roy. Soc. London A400 (1985) 331-350
4. Bakolas V. Numerical generation of arbitrarily oriented non-Gaussian three-dimensional rough surfaces. Wear 254 5-6 (2003) 546-554
5. Barber J.R. Bounds on the electrical resistance between contacting elastic rough bodies. Proc. R. Soc. London A459 (2003) 53-66
6. Bhushan B., Wyant J.C., and Meiling J. A new three-dimensional non-contact digital optical profiler. Wear 122 (1988) 301-312
7. Borri-Brunetto M., Carpinteri A., and Chiaia B. Lacunarity of the contact domain between elastic bodies with rough boundaries. In: Frantziskonis G. (Ed). Probamat-21st Century: Probabilities and Materials (1998), Kluwer Academic Publishers, Dordrecht 45-64
8. Bowden, F.P., Tabor, D., 1951, Vol. I, 1964, Vol. II. Friction and Lubrication of Solids. Oxford University Press, London, pp. 204-234.
9. Bush A.W., Gibson R.D., and Thomas T.R. The elastic contact of a rough surface. Wear 35 (1975) 87-111
10. Chilamakuri S.K., and Bhushan B. Contact analysis of non-Gaussian random surfaces. P. I. Mech. Eng. J-J Eng. 212 J1 (1998) 19-32
11. Ciavarella M., and Demelio G. Elastic multiscale contact of rough surfaces: Archard's model revisited and comparisons with modern fractal models. J. Appl. Mech. Trans. ASME 68 (2001) 496-498
12. Ciavarella M., and Leoci F. An assessment of the Greenwood-Williamson and other asperities models, with special reference to electrical conductance. ASME J. Tribol. 128 1 (2006) 10-17
13. Ciavarella M., Demelio G., Barber J.R., and Jang Y.H. Linear elastic contact of the Weierstrass profile. Proc. R. Soc. London A456 (2000) 387-405
14. Ciavarella, M., Demelio, G., Murolo, C., 2005a. On the elastic contact of rough surfaces: numerical experiments and comparisons with recent theories. Wear, in press, Corrected proof, Available online 4 April 2006 on www.sciencedirect.com.
15. Ciavarella, M., Delfine, V., Demelio, G., 2005b. A new asperity model of rough random surfaces with full interaction. Wear, in press, Corrected proof, Available online 3 March 2006 on www.sciencedirect.com.
16. Greenwood J.A. A unified theory of surface roughness. Proc. R. Soc. London A 393 133 (1984) 410-411
17. Greenwood J.A. Contact pressure fluctuations. P. I. Mech. Eng. J-J. Eng. (1996) 210-281
18. Greenwood J.A. A simplified elliptic model of rough surface contact. Wear 261 2 (2006) 191-200
19. Greenwood J.A., and Williamson J.B.P. The contact of nominally flat surfaces. Proc. R. Soc. London A295 (1966) 300-319
20. Greenwood J.A., and Wu J.J. Surface roughness and contact: an apology. Meccanica 36 6 (2001) 617-630
21. Hyun S., Pei L., Molinari J.F., and Robbins M. Finite-element analysis of contact between elastic self-affine surfaces. Phy. Rev. E 70 (2004) 026117
22. Johnson K.L. Contact Mechanics (1985), Cambridge University Press, Cambridge, UK
23. Kotwal C.A., and Bhushan B. Contact analysis of non-Gaussian surfaces for minimum static and kinetic friction and wear. Tribology T 39 4 (1996) 890-898
24. Majumbdar A., and Bhushan B. Fractal model of elastic-plastic contact between rough surfaces. ASME J. Tribol. 113 (1991) 1-11
25. Mandelbrot B.B. The Fractal Geometry of Nature (1982), Freeman, San Francisco
26. Manners W. Pressure required to flatten an elastic random rough profile. Int. J. Mech. Sci. 42 12 (2000) 2321-2336
27. Manners, W., Greenwood J.A., 2006. Some observations on Persson's diffusion theory of elastic contact, Wear, in press, Corrected Proof, Available online 21 February 2006 on 〈www.sciencedirect.com〉.
28. Nayak P.R. Random process model of rough surfaces. ASME J. Lubricat. Technol. 93 (1971) 398-407
29. Nowell D., and Hills D.A. Hertzian contact of ground surfaces. J. Tribol. 111 1 (1989) 175-179
30. Onions R.A., and Archard J.F. The contact of surfaces having a random structure. J. Phys. D: Appl. Phys. 6 (1973) 289-304
31. Pei L., Hyun S., Molinari J.F., and Robbins M.O. Finite element modeling of elasto-plastic contact between rough surfaces. J. Mech. Phys. Solids 53 11 (2005) 2385-2409
32. Persson B.N.J. Elastoplastic contact between randomly rough surfaces. Phys. Rev. Lett. 87 11 (2001) art. no. 116101
33. Persson B.N.J. Theory of rubber friction and contact mechanics. J. Chem. Phys. 115 8 (2001) 3840-3861
34. Persson B.N.J., Bucher F., and Chiaia B. Elastic contact between randomly rough surfaces: comparison of theory with numerical results. Phys. Rev. B 65 (2002) 184106-1-184106-7
35. Sayles R.S., and Thomas T.R. Surface topography as a non stationary random process. Nature 271 (1978) 431-434
36. Thomas T.R. Rough Surfaces. second ed. (1999), Imperial College Press, London
37. Whitehouse D.J., and Archard J.F. The properties of random surfaces of significance in their contact. Proc. R. Soc. London. A316 (1970) 97-121
38. Yu N., and Polycarpou A.A. Contact of rough surfaces with asymmetric distribution of asperity heights. J. Tribol.-Trans. ASME 124 2 (2002) 367-376
39. Yu N., and Polycarpou A.A. Combining and contacting of two rough surfaces with asymmetric distribution of asperity heights. J. Tribol.-Trans. ASME 126 2 (2004) 225-232