Finite-element analysis of contact between elastic self-affine surfaces

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 2 2, 2004, Pages

  Hyun, S ^a   Pel, L ^a   Molinari, J F ^a   Robbins, M O ^a  

^a JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADHESION; COMPUTER SIMULATION; ELASTIC MODULI; FINITE ELEMENT METHOD; FRACTALS; FRICTION; PLASTIC DEFORMATION; POISSON RATIO; PRESSURE DISTRIBUTION; PROBABILITY DISTRIBUTIONS; SURFACE ROUGHNESS;

ELASTIC CONTACTS; FRACTAL CLUSTERS; ROUGHNESS AMPLITUDES; SELF-AFFINE SURFACES;

SURFACE PROPERTIES;

EID: 42749105097     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.026117     Document Type: Article

References (32)

1. F. P. Bowden and D. Tabor, The Friction and Lubrication of Solids (Clarendon, Oxford, 1986).
2. J. H. Dieterich and B. D. Kilgore, Pure Appl. Geophys. 143, 283 (1994).
3. J. H. Dieterich and B. D. Kilgore, Tectonophysics 256, 219 (1996).
4. P. Berthoud and T. Baumberger, Proc. R. Soc. London, Ser. A 454, 1615 (1998).
5. J. A. Greenwood, Proc. R. Soc. London, Ser. A 393, 133 (1984).
6. J. A. Greenwood and J. J. Wu, Meccanica 36, 617 (2001).
7. A. Volmer and T. Natterman, Z. Phys. B: Condens. Matter 104, 363 (1997).
8. B. N. J. Persson, Phys. Rev. Lett. 87, 116101 (2001).
9. B. N. J. Persson, F. Bucher, and B. Chiaia, Phys. Rev. B 65, 184106 (2002).
10. G. G. Batrouni, A. Hansen, and J. Schmittbuhl, Europhys. Lett. 60, 724 (2002).
11. M. Ciavarella, G. Demelio, J. R. Barber, and Y. H. Jang, Proc. R. Soc. London, Ser. A 456, 387 (2000).
12. S. Roux, J. Schmittbuhl, J.-P. Vilotte, and A. Hansen, Europhys. Lett. 23, 277 (1993).
13. K. L. Johnson, Contact Mechanics (Cambridge University Press, New York, 1985).
14. J. A. Greenwood and J. B. P. Williamson, Proc. R. Soc. London, Ser. A 295, 300 (1966).
15. A. W. Bush, R. D. Gibson, and T. R. Thomas, Wear 35, 87 (1975).
16. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1979).
17. J. Krim and G. Palasantzas, Int. J. Mod. Phys. B 9, 599 (1995).
18. P. Meakin, Fractals, Scaling and Growth Far From Equilibrium (Cambridge University Press, Cambridge, 1998).
19. M. Borri-Brunetto, B. Chiaia, and M. Ciavarella, Comput. Methods Appl. Mech. Eng. 190, 6053 (2001).
20. C. h. Liu, S. R. Nagel, D. A. Schecter, S. N. Coppersmith, S. Majumdar, O. Narayan, and T. A. Witten, Science 269, 513 (1995).
21. S. N. Coppersmith, C. h. Liu, S. Majumdar, O. Narayan, and T. A. Witten, Phys. Rev. E 53, 4673 (1996).
22. Jamming and Rheology, edited by A. J. Liu and S. R. Nagel (Taylor and Francis, London, 2001).
23. R. F. Voss (Springer-Verlag, Berlin, 1985), p. 805.
24. J. F. Molinari and M. Ortiz, Int. J. Numer. Methods Eng. 53, 1101 (2002).
25. T. Belytschko and T. J. R. Hughes, Computational Methods for Transient Analysis (North-Holland, Amsterdam, 1983).
26. T. J. R. Hughes, The Finite-Element Method: Linear Static and Dynamic Finite-Element Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1987).
27. J. F. Molinari, M. Ortiz, R. Radovitzky, and E. A. Repetto, Eng. Comput. 18, 592 (2001).
28. J. A. Harrison, S. Hyun, J. F. Molinari, and M. O. Robbins (unpublished).
29. c) in the rigid overlap model.
30. J. Kondev and C. L. Henley, Phys. Rev. Lett. 74, 4580 (1995).
31. C. S. O'Hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 86, 111 (2001).
32. J. Rottler and M. O. Robbins, Phys. Rev. Lett. 89, 195501 (2002).