Hybrid atomistic/continuum study of contact and friction between rough solids

Tribology Letters

Volumn 36, Issue 1, 2009, Pages 1-16

  Luan, Binquan ^a,b   Robbins, Mark O ^a  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b IBM   (United States)

Author keywords

Contact mechanics; Friction mechanisms; Nanotribology

Indexed keywords

ADDITIONAL FRICTION; ADHESIVE CONTACT; ATOMIC STRUCTURE; CONTACT AREAS; CONTACT MECHANICS; CONTINUOUS DISTRIBUTION; CRYSTALLINE SURFACES; FLAT SURFACES; FRICTION MECHANISMS; HEIGHT DISTRIBUTION; HYBRID SIMULATION; KINETIC FRICTION; LENNARD JONES; PATCH SIZE; PLASTIC BEHAVIOR; ROUGH CONTACT; ROUGH SURFACES; SELF-AFFINE ROUGHNESS; SMALL SYSTEMS; SURFACE ATOMS; SURFACE HEIGHT; SYSTEM SIZE; TWO-DIMENSIONAL SURFACE;

ATOMS; CONTACTS (FLUID MECHANICS); LATTICE CONSTANTS; MECHANICS; NANOTRIBOLOGY; SURFACE PHENOMENA; SYSTEMS ENGINEERING; TWO DIMENSIONAL;

FRICTION;

EID: 65649118582     PISSN: 10238883     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11249-009-9453-3     Document Type: Article

References (50)

1. Bowden, F.P., Tabor, D.: The Friction and Lubrication of Solids. Clarendon Press, Oxford (1986)
2. J.A. Greenwood 1984 A unified theory of surface roughness Proc. R. Soc. Lond. A 393 133 157
3. Meakin, P.: Fractals, Scaling and Growth Far from Equilibrium. Cambridge, Cambridge (1998)
4. J. Krim G. Palasantzas 1995 Experimental observation of self-affine scaling and kinetic roughening at sub-micron lengthscales Int. J. Mod. Phys. B 9 599 632
5. Johnson, K.L.: Contact Mechanics. Cambridge, New York (1985)
6. J.A. Greenwood J.B.P. Williamson 1966 Contact of nominally flat surfaces Proc. R. Soc. Lond. Ser. A 295 300 319
7. A.W. Bush R.D. Gibson T.R. Thomas 1975 The elastic contact of a rough surface Wear 35 87 111
8. A.A. Polycarpou I. Etsion 1999 Analytical approximations in modeling contacting rough surfaces ASME J. Tribol. 121 234 239
9. B.N.J. Persson 2001 Elastoplastic contact between randomly rough surfaces Phys. Rev. Lett. 87 116101
10. S. Hyun L. Pei J.-F. Molinari M.O. Robbins 2004 Finite-element analysis of contact between elastic self-affine surfaces Phys. Rev. E 70 026117
11. C. Campañá M.H. Müser 2007 Contact mechanics of real vs. randomly rough surfaces: a Green's function molecular dynamics study Europhys. Lett. 77 38005
12. S. Hyun M.O. Robbins 2007 Elastic contact between rough surfaces: effect of roughness at large and small wavelengths Tribol. Int. 40 1413 1422
13. M. Ciavarella C. Murolo G. Demelio 2006 On the elastic contact of rough surfaces: numerical experiments and comparisons with recent theories Wear 261 1102 1113
14. G. Carbone F. Bottiglione 2008 Asperity contact theories: do they predict linearity between contact area and load? J. Mech. Phys. Solids 56 2555 2572
15. L. Pei S. Hyun J.-F. Molinari M.O. Robbins 2005 Finite element modeling of elasto-plastic contact between rough surfaces J. Mech. Phys. Sol. 53 2385 2409 (Pubitemid 41329905)
16. Y.F. Gao A.F. Bower 2005 Elastic-plastic contact of a rough surface with Weierstrass profile Proc. R. Soc. A 462 319 348
17. I.A. Polonsky L.M. Keer 1996 Scale effects of elastic-plastic behavior of microscopic asperity contacts ASME J. Tribol. 118 335 340
18. J.W. Hutchinson 2000 Plasticity at the micron scale Int. J. Solids Struct. 37 225 238
19. B. Luan M.O. Robbins 2005 The breakdown of continuum models for mechanical contacts Nature 435 929 932 (Pubitemid 40896315)
20. B.Q. Luan M.O. Robbins 2006 Contact of single asperities with varying adhesion: comparing continuum mechanics to atmoistic simulations Phys. Rev. E 74 02611
21. M. Hirano K. Shinjo 1990 Atomistic locking and friction Phys. Rev. B 41 11837 11851
22. M.H. Müser L. Wenning M.O. Robbins 2001 Simple microscopic theory of Amontons's laws for static friction Phys. Rev. Lett. 86 1295 1298
23. M.H. Müser 2001 Dry friction between flat surfaces: wearless multistable elasticity vs. material transfer and plastic deformation Tribol. Lett. 10 15 22
24. M.H. Müser M. Urbakh M.O. Robbins 2003 Statistical mechanics of static and low-velocity kinetic friction Adv. Chem. Phys. 126 187 272
25. M. Dienwiebel G.S. Verhoeven N. Pradeep J.W.M. Frenken J.A. Heimberg H.W. Zandbergen 2004 Superlubricity of graphite Phys. Rev. Lett. 92 126101
26. M. Hirano K. Shinjo R. Kaneko Y. Murata 1997 Observation of superlubricity by scanning tunneling microscopy Phys. Rev. Lett. 78 1448 1451
27. J. Krim D.H. Solina R. Chiarello 1991 Nanotribology of a Kr monolayer: a quartz-crystal microbalance study of atomic-scale friction Phys. Rev. Lett. 66 181 184
28. D. Dietzel C. Ritter T. Möninghoof H. Fuchs A. Schirmeisen U.D. Schwarz 2008 Frictional duality observed during nanoparticle sliding Phys. Rev. Lett. 101 125505
29. J.M. Martin C. Donnet T.L. Mogne T. Epicier 1993 Superlubricity of molybdenum disulphide Phys. Rev. B 48 10583 10586
30. G. He M.H. Müser M.O. Robbins 1999 Adsorbed layers and the origin of static friction Science 284 1650 1652
31. G. He M.O. Robbins 2001 Simulations of the kinetic friction due to adsorbed molecules Tribol. Lett. 10 7 14
32. Luan, B., Hyun, S., Robbins, M.O., Bernstein, N.: Multiscale modeling of two dimensional rough surface contacts. In: Wahl, K.J., Huber, N., Mann, A.B., Bahr, D.F., Cheng, Y.-T. (eds.) Fundamentals of Nanoindentation and Nanotribology, vol. 841, p. R7.4. Materials Research Society, Warrendale (2005)
33. U. Tartaglino V.N. Samoilov B.N.J. Persson 2006 Role of surface roughness in superlubricity J. Phys. Condens. Matter. 18 4143 4160
34. B.Q. Luan S. Hyun J.F. Molinari N. Bernstein M.O. Robbins 2006 Multiscale modeling of two-dimensional contacts Phys. Rev. E 74 046710
35. T.J.R. Hughes T. Belytschko 1983 A precise of developments in computational methods for transient analysis J. Appl. Mech. 50 1033
36. Voss, R.F., Random fractal forgeries. In: Earnshaw, R.A. (ed.) Fundamental Algorithms in Computer Graphics, p. 805. Springer-Verlag, Berlin (1985)
37. C. Yang B.N.J. Persson 2008 Molecular dynamics study of contact mechanics: contact area and interfacial separation from small to full contact Phys. Rev. Lett. 100 024303
38. C. Yang B.N.J. Persson 2008 Contact mechanics: contact area and interfacial separation from small contact to full contact J. Phys.: Condens. Matter. 20 215214
39. N.M. Webster R.S. Sayles 1986 A numerical model for the elastic frictionless contact of real rough surfaces J. Tribol. 108 314 320
40. M. Ciavarella G. Demelio J.R. Barber Y.H. Jang 2000 Linear elastic contact of the Weierstrass profile Proc. R. Soc. Lond. A 456 387 405
41. W. Manners J.A. Greenwood 2006 Some observations on Persson's diffusion theory of elastic contact Wear 261 600 610
42. M.H. Müser 2008 Rigorous field-theoretical approach to the contact mechanics of rough elastic solids Phys. Rev. Lett. 100 055504
43. B.N.J. Persson 2008 On the elastic energy and stress correlation in the contact between elastic solids with randomly rough surfaces J. Phys.: Condens. Matter. 20 312001
44. C. Campañá M.H. Müser M.O. Robbins 2008 Elastic contact between self-affine surfaces: comparison of numerical stress and contact correlation functions with analytic predictions J. Phys.: Condens. Matter 20 354013
45. R.E. Miller L.E. Shilkrot W.A. Curtin 2004 A coupled atomistics and discrete dislocation plasticity simulation of nanoindentation into single crystal thin films Acta Mater. 52 271 284
46. E.T. Watts J. Krim A. Widom 1990 Experimental observation of interfacial slippage at the boundary of molecularly thin films with gold substrates Phys. Rev. B 41 3466 3472
47. M. Cieplak E.D. Smith M.O. Robbins 1994 Molecular origins of friction: the force on adsorbed layers Science 265 1209 1212
48. O.M. Braun Y.S. Kivshar 1998 Nonlinear dynamics of the Frenkel-Kontorova model Phys. Rep. 306 1 108
49. W.A. Steele 1973 The physical interaction of gases with crystalline solids. I. Gas-solid energies and properties of isolated absorbed atoms Surf. Sci. 36 317 352
50. B.N.J. Persson I.M. Siveback V.N. Samoilov K. Zhao A.I. Volokitin Z. Zhang 2008 On the origin of Amontons' friction law J. Phys.: Condens. Matter. 20 395006