On the elastic contact of rough surfaces: Numerical experiments and comparisons with recent theories

Wear

Volumn 261, Issue 10, 2006, Pages 1102-1113

  Ciavarella, M ^a   Murolo, C ^a   Demelio, G ^a  

^a POLITECNICO DI BARI   (Italy)

Author keywords

Elastic contact; Fractal random surfaces; Numerical contact mechanics; Roughness

Indexed keywords

APPROXIMATION THEORY; ELASTICITY; FRACTALS; RANDOM PROCESSES;

ELASTIC CONTACT; FRACTAL RANDOM SURFACES; GAUSSIAN PROCESS; NUMERICAL CONTACT MECHANICS;

SURFACE ROUGHNESS;

APPROXIMATION THEORY; ELASTICITY; FRACTALS; RANDOM PROCESSES; SURFACE ROUGHNESS;

EID: 33750510661     PISSN: 00431648     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.wear.2006.02.001     Document Type: Article

References (31)

1. Archard J.F. Elastic deformation and the laws of friction. Proc. Roy. Soc. Lond. A243 (1957) 190-205
2. Greenwood J.A., and Williamson J.B.P. The contact of nominally flat surfaces. Proc. Roy. Soc. Lond. A295 (1966) 300-319
3. Whitehouse D.J., and Archard J.F. The properties of random surfaces of significance in their contact. Proc. Roy. Soc. Lond. A316 (1970) 97-121
4. Nayak P.R. Some aspects of surface roughness measurement. Wear 26 (1973) 165-174
5. Bush A.W., Gibson R.D., and Thomas T.R. The elastic contact of a rough surface. Wear 35 (1975) 87-111
6. Thomas T.R. Rough Surfaces. 2nd ed. (1999), Imperial College Press
7. Sayles R.S., and Thomas T.R. Surface topography as a non-stationary random process. Nature 271 (1978) 431-434
8. Mandelbrot B.B. The Fractal Geometry of Nature (1982), Freeman, San Francisco
9. Greenwood J.A. Contact pressure fluctuations. Proc. Inst. Mech. Eng. J: J. Eng. (1996) 210-281
10. Manners W. Pressure required to flatten an elastic random rough profile. Int. J. Mech. Sci. 42 12 (2000) 2321-2336
11. Borri-Brunetto M., Carpinteri A., and Chiaia B. Lacunarity of the contact domain between elastic bodies with rough boundaries. Probabilities and Materials. Tests, Models and Applications, Nato ASI Series 3 (1998), Kluwer, Dordrech pp. 45-64
12. Ciavarella M., Demelio G., Barber J.R., and Jang Y.H. Linear elastic contact of the Weierstrass profile. Proc. Roy. Soc. Lond. A 456 (2000) 387-405
13. Johnson K.L. Contact Mechanics (1985), Cambridge Univ. Press, Cambridge, UK
14. Greenwood J.A., and Tripp J.H. The elastic contact of rough spheres. ASME J. Appl. Mech. 34 (1967) 153
15. Persson B.N.J. Elastoplastic contact between randomly rough surfaces. Phys. Rev. Lett. 87 11 (2001) art. no. 116101
16. Persson B.N.J. Theory of rubber friction and contact mechanics. J. Chem. Phys. 115 8 (2001) 3840-3861
17. 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
18. Ciavarella M., Murolo C., Demelio G., and Barber J.R. Elastic contact stiffness and contact resistance for the Weierstrass profile. J. Mech. Phys. Solids 52 6 (2004) 1247-1265
19. M. Ciavarella, G. Demelio, C. Murolo, A numerical algorithm for the solution of 2D rough contact problems, in print, J. Strain Anal. 40 (5) (2005) 463-476.
20. Yan W., and Komvopoulos K. Contact analysis of elastic-plastic fractal surfaces. J. Appl. Phys. 84 7 (1998) 3617-3624
21. Komvopoulos K., and Ye N. Elastic-plastic finite element analysis for the head-disk interface with fractal topography description. J. Tribol. Trans. ASME 124 4 (2002) 775-784
22. Wu J.J. Structure function and spectral density of fractal profiles. Chaos Soliton. Fract. 12 13 (2001) 2481-2492
23. Wu J.J. Characterization of fractal surfaces. Wear 239 1 (2000) 36-47
24. Weierstrass K. Mathematische werke (1895), Mayer and Muller, Berlin
25. Berry M.V., and Lewis Z.V. On the Weierstrass-Mandelbrot fractal function. Proc. Roy. Soc. Lond. A370 (1980) 459-484
26. Mandelbrot B.B. Self affine fractals and fractal dimension. Phys. Scr. 32 (1985) 37-60
27. Rice S.O. Mathematical analysis of random noise. Bell System Tech. J. 24 (1944) 46-156
28. Cartwright D.E., and Longuet-Higgins M.S. The statistical distribution of the maxima of a random function. Proc. Roy. Soc. Lond. A237 (1956) 212-232
29. J.A. Greenwood, J.J. Wu, Surface roughness and contact: an apology, Meccanica 36 (6) (2001) 617-630.
30. A. Majumbdar, B. Bhushan, Fractal model of elastic-plastic contact between rough surfaces, ASME J. Tribol. 113 (1991) 1-11.
31. M. Ciavarella, G. Demelio, Elastic Multiscale contact of rough surfaces: archard's model revisited and comparisons with modern fractal models, J. Appl. Mech. Transact. ASME 68 (2001) 496-498.