Elastic contact between rough surfaces: Effect of roughness at large and small wavelengths

Tribology International

Volumn 40, Issue 10-12 SPEC. ISS., 2007, Pages 1413-1422

  Hyun, Sangil ^a   Robbins, Mark O ^b  

^a Kyungpook National University   (South Korea)

^b JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

Contact mechanics; Elastic; Rough surfaces; Self affine fractals

Indexed keywords

ELASTICITY; FINITE ELEMENT METHOD; FRACTALS; PRESSURE DISTRIBUTION;

CONTACT MECHANICS; ELASTIC CONTACTS; SURFACE GEOMETRY;

SURFACE ROUGHNESS;

EID: 34548226545     PISSN: 0301679X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.triboint.2007.02.003     Document Type: Article

References (31)

1. Greenwood J.A., and Williamson J.B.P. Contact of nominally flat surfaces. Proc R Soc London, Ser A 295 (1966) 300-319
2. Bowden F.P., and Tabor D. The friction and lubrication of solids (1986), Clarendon Press, Oxford
3. Johnson K.L. Contact mechanics (1985), Cambridge, New York
4. Ciavarella M., Demelio G., Barber J.R., and Jang Y.H. Linear elastic contact of the weierstrass profile. Proc R Soc London A 456 (2000) 387-405
5. Ciavarella M., Murolo G., Demelio G., and Barber J.R. Elastic contact stiffness and contact resistance for the weierstrass profile. J Mech Phys Sol 52 (2004) 1247-1265
6. Hyun S., Pei L., Molinari J.-F., and Robbins M.O. Finite-element analysis of contact between elastic self-affine surfaces. Phys Rev E 70 (2004) 026117
7. Pei L., Hyun S., Molinari J.-F., and Robbins M.O. Finite element modeling of elasto-plastic contact between rough surfaces. J Mech Phys Sol 53 (2005) 2385-2409
8. Borri-Brunetto M., Chiaia B., and Ciavarella M. Incipient sliding of rough surfaces in contact: a multiscale numerical analysis. Comput Meth Appl Mech Eng 190 (2001) 6053
9. Bush A.W., Gibson R.D., and Thomas T.R. The elastic contact of a rough surface. Wear 35 (1975) 87
10. Gao Y-F, Bower AF. Rough surface plasticity and adhesion across length scales. In: Chuan T-J, Anderson PM, Wu M-K, Hsieh S, editors. Nanomechanics of materials and structures. The Netherlands: Springer; 2006. pp. 277-87.
11. Luan B., Hyun S., Robbins M.O., and Bernstein N. Multiscale modeling of two dimensional rough surface contacts. In: Wahl K.J., Huber N., Mann A.B., Bahr D.F., and Cheng Y.-T. (Eds). Fundamentals of nanoindentation and nanotribology vol. 841 (2005), Materials Research Society, Warrendale R7.4
12. Campañá C, Müser MH. Europhys Lett 2007; 77:38005.
13. Persson B.N.J. Elastoplastic contact between randomly rough surfaces. Phys Rev Lett 87 (2001) 116101
14. Batrouni G.G., Hansen A., and Schmittbuhl J. Elastic response of rough surfaces in partial contact. Europhys Lett 60 (2002) 724-730
15. Greenwood J.A. A unified theory of surface roughness. Proc R Soc Lond A 393 (1984) 133-157
16. Greenwood J.A., and Wu J.J. Surface roughness and contact: an apology. Meccanica 36 (2001) 617-630
17. Meakin P. Fractals, scaling and growth far from equilibrium (1998), Cambridge University Press, Cambridge
18. Persson B.N.J. Theory of rubber friction and contact mechanics. J Chem Phys 115 (2001) 3840-3861
19. Kondev J., and Henley C.L. Geometcial exponents of contour loops on random gaussian surfaces. Phys Rev Lett 74 (1995) 4580-4583
20. Dieterich J.H., and Kilgore B.D. Direct observation of frictional contacts: new insights for state-dependent properties. Pure Appl Geophys 143 (1994) 283-302
21. Dieterich J.H., and Kilgore B.D. Imaging surface contacts: power law contact distributions and contact stresses in quartz, calcite, glass and acrylic plastic. Tectonophysics 256 (1996) 219-239
22. Heinrich G. Hysteresis friction of sliding rubbers on rough and fractal surfaces. Rubber Chem Technol 70 (1997) 1-14
23. Krim J., and Palasantzas G. Experimental observation of self-affine scaling and kinetic roughening at sub-micron lengthscales. Int J Mod Phys B 9 (1995) 599-632
24. Belytschko T., and Hughes T.J.R. Computational methods for transient analysis (1983), North-Holland, Amsterdam
25. Molinari J.F., Ortiz M., Radovitzky R., and Repetto E.A. Eng Comput 18 (2001) 592
26. Changes in the local area per node due to the Poisson effect are not relevant here since ν = 0, but inclusion of this effect for fintite ν did not have a significant effect in previous studies [6].
27. Voss RF, Fundamental algorithms for computer graphics. In: Earnshaw RF, editor. NATO ASI series F17. Berlin: Springer-Verlag; 1985. pp. 805-35.
28. Benz M., Rosenberg K.J., Kramer E.J., and Israelachvili J.N. The deformation and adhesion of randomly rough and patterned surface. J Phys Chem B 110 (2006) 11884-11893
29. Hansen A., Schmittbuhl J., Batrouni G.G., and Oliveira F.A. Normal stress distribution of rough surfaces in contact. Geophys Res Lett 27 (2000) 3639-3642
30. Luan B. Simulations of contact and friction: connecting atomic and continuum descriptions, Ph.D. thesis, Johns Hopkins University, Baltimore; 2006.
31. Gradstein I.S., and Ryzhik I.M. Tables of integrals sums series and products (1965), Academic Press, New York