On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion

Journal of Physics Condensed Matter

Volumn 17, Issue 1, 2005, Pages

  Persson, B N J ^a,b   Albohr, O ^c   Tartaglino, U ^a,d,e   Volokitin, A I ^a   Tosatti, E ^b,d,e  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^c Pirelli Deutschland AG   (Germany)

^d SISSA   (Italy)

^e DEMOCRITOS NATIONAL SIMULATION CENTER   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ADHESION; ATOMIC FORCE MICROSCOPY; CRACK PROPAGATION; ELASTICITY; FRICTION; RUBBER; SEALING (CLOSING);

CONTACT MECHANICS; POWER SPECTRUM; RUBBER FRICTION;

SURFACE ROUGHNESS;

EID: 11844291412     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/17/1/R01     Document Type: Review

References (93)

1. Zhao Y-P, Wang L S and Yu T X 2003 J. Adhes. Sci. Technol. 17 519
2. Mastrangelo C H 1997 Trib. Lett. 3 223
3. Bico J, Marzolin C and Quere D 1999 Europhys. Lett. 47 220
4. Gui C, Elwenspoek M, Tas N and Gardeniers J G E 1999 J. Appl. Phys. 85 7448
5. Barabasi A-L and Stanley H E 1995 Fractal Concepts in Surface Growth (Cambridge: Cambridge University Press)
6. Krug J 1997 Adv. Phys. 46 139
7. Feder J 1988 Fractals (New York: Plenum) Berry M V and Lewis Z V 1980 Proc. R. Soc. A 370 459
8. Feder J 1988 Fractals (New York: Plenum) Berry M V and Lewis Z V 1980 Proc. R. Soc. A 370 459
9. Krim J and Palasantzas G 1995 Int. J. Mod. Phys. B 9 599
10. Nayak P R 1971 ASME J. Lubr. Technol. 93 398
11. Bouchaud E 1997 J. Phys.: Condens. Matter 9 4319
12. Experimental data obtained at Pirelli, unpublished data
13. Benz M, Rosenberg K and Israelachvili J 2004 private communication
14. Persson B N J 2000 Sliding Friction: Physical Principles and Applications 2nd edn (Heidelberg: Springer)
15. Hertz H and Reine J 1882 Angew. Math. 92 156
16. Archard J F 1957 Proc. R. Soc. A 243 190
17. Greenwood J A 1992 Fundamentals of Friction, Macroscopic and Microscopic Processes ed I L Singer and H M Pollack (Dordrecht: Kluwer)
18. Greenwood J A and Williamson J B P 1966 Proc. R. Soc. A 295 300
19. Johnson K L 1985 Contact Mechanics (Cambridge: Cambridge University Press)
20. Bush A W, Gibson R D and Thomas T R 1975 Wear 35 87 Bush A W, Gibson R D and Keogh G P 1976 Mech. Res. Commun. 3 169
21. Bush A W, Gibson R D and Thomas T R 1975 Wear 35 87 Bush A W, Gibson R D and Keogh G P 1976 Mech. Res. Commun. 3 169
22. Persson B N J 2001 Phys. Rev. Lett. 87 116101 Persson B N J 2001 J. Chem. Phys. 115 3840
23. Persson B N J 2001 Phys. Rev. Lett. 87 116101 Persson B N J 2001 J. Chem. Phys. 115 3840
24. Persson B N J, Bucher F and Chiaia B 2002 Phys. Rev. B 65 184106
25. Persson B N J 2002 Eur. Phys. J. E 8 385 Persson B N J 2002 Phys. Rev. Lett. 89 245502
26. Persson B N J 2002 Eur. Phys. J. E 8 385 Persson B N J 2002 Phys. Rev. Lett. 89 245502
27. Hyun S, Pei L, Molinari J-F and Robbins M O 2004 Phys. Rev. E 70 026177
28. Borri-Brunetto M, Chiaia B and Ciavarella M 2001 Comput. Methods Appl. Mech. Eng. 190 6053
29. Persson B N J, Albohr O, Mancosu F, Peveri V, Samoilov V N and Sivebaek I M 2003 Wear 254 835
30. Buzio R, Boragno C, Biscarini F, de Mongeot F B and Valbusa U 2003 Nat. Mater. 2 233
31. Persson B N J, Albohr O, Creton C and Peveri V 2004 J. Chem. Phys. 120 8779
32. Hui C Y, Lin Y Y and Baney J M 2000 J. Polym. Sci. B 38 1485
33. Creton C and Leibler L 1996 J. Polym. Sci. B 34 545
34. Chikina I and Gay C 2000 Phys. Rev. Lett. 85 4546
35. Hammond F H 1964 ASTM Special Techn. Publ. 360 123
36. Thomas T R 1999 Rough Surfaces 2nd edn (London: Imperial College Press)
37. Stauffer D and Aharony A 1992 Introduction to Percolation Theory 2nd edn (London: Taylor and Francis)
38. See, e.g. Feynman R P 2001 What Do You Care What Other People Think?: Further Advances of a Curios Character (New York: W.W. Norton & Company)
39. Hertz D L 1979 Machine Design April 12. Available on line: http://www.sealseastern.com/PDF/LowPsiSeals.pdf
40. van der Oetelaar R J A and Flipse C F J 1997 Surf. Sci. 384 L828
41. Moore D F 1972 The Friction and Lubrication of Elastomers (Oxford: Pergamon)
42. Persson B N J 1998 Surf: Sci. 401 445
43. Galliano A, Bistac S and Schultz J 2003 J. Colloid Interface Sci. 265 372 Galliano A, Bistac S and Schultz J 2003 J. Adhes. 79 973
44. Galliano A, Bistac S and Schultz J 2003 J. Colloid Interface Sci. 265 372 Galliano A, Bistac S and Schultz J 2003 J. Adhes. 79 973
45. Grosch K A 1974 The Physics of Tire Traction: Theory and Experiment ed D F Hays and A L Browne (New York: Plenum) p 143
46. Persson B N J and Volokitin A I 2002 Phys. Rev. B 65 134106
47. Klüppel M and Heinrich G 2000 Rubber Chem. Technol. 73 578
48. Williams M L, Landel R F and Ferry J D 1955 J. Am. Chem. Soc. 77 3701
49. Haney P 2003 The Racing and High-Performance TIRE (Springfield, IL: TV Motorsport) (Warrendale, PA: Society of Automotive Engineering, Inc.)
50. Westermann S, Petry F and Thielen G 2004 Safety-Wet Grip-Traction (Hannover: Deutsches Institut für Kautschuktechnologie eV)
51. Lindner M, Kröger M, Popp K and Blume H 2004 21st Int. Cong. on Theoretical and Applied Mechanics (Warsaw, Poland, Aug. 2004) Online at http://fluid.ippt.gov.pl/ictam04/text/sessions/docs/SM2/12086/SM2_12086.pdf
52. Heumer T, Eberhardstelner J, Liu W N and Mang H A 1999 1st European Conf. on Constitutive Models for Rubber (Vienna, Austria, Sept. 1999) Online at http://www.imws.tuwien.ac.at/Publications/presentations/uebersicht.html
53. Westermann S, Petry F, Boes R and Thielen G 2004 Experimental investigations into the predictive capabilities of current physical rubber friction theories Kautschuk Gummi Kunststoffe at press
54. Westermann S, Petry F and Thielen G 2004 Tyre Technology Expo 2004 (Stuttgart) (Tyre Technology Annual 2004) (Surrey: International Press Events) at press
55. Persson B N J 2003 unpublished
56. Tire tests performed at Pirelli, unpublished
57. Heinrich G 2003 Elastomerreibung und Kontactmechanik (Hannover, Germany: Deutsches Institute für Kautschuktechnologie)
58. Meyer W E and Walter J D 1983 Frictional Interaction of Tire and Pavement STP 793 (Philadelphia, PA: American Society for Testing and Materials) p 85 (ISBN: 0803102313)
59. Persson B N J, Tartaglino U, Albohr O and Tosatti E 2004 Nat. Mater. at press Persson B N J, Tartaglino U, Albohr O and Tosatti E 2004 Phys. Rev. B submitted
60. Persson B N J, Tartaglino U, Albohr O and Tosatti E 2004 Nat. Mater. at press Persson B N J, Tartaglino U, Albohr O and Tosatti E 2004 Phys. Rev. B submitted
61. Roth J 1993 Fortschritt-Berichte VDI Reihe vol 12, No 195 (Düsseldorf: VDI-Verlag)
62. Brochard-Wyart F and de Gennes P G 1994 J. Phys.: Condens. Matter 6 A9
63. Martin P and Brochard-Wyart F 1998 Phys. Rev. Lett. 80 3296
64. Persson B N J, Volokitin A I and Tosatti E 2003 Eur. Phys. J. E 11 409
65. Persson B N J and Mugele F 2004 J. Phys.: Condens. Matter 16 R295
66. Fuller K N G and Tabor D 1975 Proc. R. Soc. A 345 327
67. Kendall K 2001 Molecular Adhesion and it Applications (New York: Kluwer) Maugis D 1999 Contact, Adhesion and Rupture of Elastic Solids (Berlin: Springer)
68. Kendall K 2001 Molecular Adhesion and it Applications (New York: Kluwer) Maugis D 1999 Contact, Adhesion and Rupture of Elastic Solids (Berlin: Springer)
69. Kendall K 1971 J. Phys. D: Appl. Phys. 4 1186 Kendall K 1973 J. Phys. D: Appl. Phys. 6 1782 Kendall K 1975 J. Phys. D: Appl. Phys. 8115 See also the beautiful review article of Kendall K 1980 Contemp. Phys. 21 277
70. Kendall K 1971 J. Phys. D: Appl. Phys. 4 1186 Kendall K 1973 J. Phys. D: Appl. Phys. 6 1782 Kendall K 1975 J. Phys. D: Appl. Phys. 8115 See also the beautiful review article of Kendall K 1980 Contemp. Phys. 21 277
71. Kendall K 1971 J. Phys. D: Appl. Phys. 4 1186 Kendall K 1973 J. Phys. D: Appl. Phys. 6 1782 Kendall K 1975 J. Phys. D: Appl. Phys. 8115 See also the beautiful review article of Kendall K 1980 Contemp. Phys. 21 277
72. Kendall K 1971 J. Phys. D: Appl. Phys. 4 1186 Kendall K 1973 J. Phys. D: Appl. Phys. 6 1782 Kendall K 1975 J. Phys. D: Appl. Phys. 8115 See also the beautiful review article of Kendall K 1980 Contemp. Phys. 21 277
73. Briggs G A D and Briscoe B J 1977 J. Phys. D: Appl. Phys. 10 2453
74. Fuller K N G and Roberts A D 1981 J. Phys. D: Appl. Phys. 14 221
75. Zilberman S and Persson B N J 2003 J. Chem. Phys. 118 6473
76. Samoilov V N, Sievebaek I M and Persson B N J 2004 J. Chem. Phys. 121 9639
77. Israelachvili J N 1995 Intermolecular and Surface Forces (London: Academic)
78. Johnson K L, Kendall K and Roberts A D 1971 Proc. R. Soc. A 324 301
79. Sperling G 1964 PhD Thesis Karlsruhe Technical University
80. Peressadko A and Gorb S N 2004 J. Adhes. 80 247
81. Johnson K L 1998 Tribol. Int. 31 413 Zhang L and Zhao Y-P 2004 J. Adhes. Sci. Technol. 18 715
82. Johnson K L 1998 Tribol. Int. 31 413 Zhang L and Zhao Y-P 2004 J. Adhes. Sci. Technol. 18 715
83. McFadden C F and Gellman A J 1995 Tribol. Lett. 1 201
84. Persson B N J 2003 Wear 254 832
85. Gao H J and Yao H M 2004 Proc. Natl Acad. Sci. USA 101 7851
86. Scherge M and Gorb S 2001 Biological Micro- and Nano-Tribology (Berlin: Springer)
87. Autumn K, Sitti M, Liang Y A, Peattie A M, Hansen W R, Sponberg S, Kenny T W, Fearing R, Israelachvili J N and Full R J 2002 Proc. Natl Acad. Sci. USA 99 12252 Autumn K, Liang Y A, Hsieh S T, Zesch W, Chan W P, Kenny T W, Fearing R and Full R J 2000 Nature 405 681
88. Autumn K, Sitti M, Liang Y A, Peattie A M, Hansen W R, Sponberg S, Kenny T W, Fearing R, Israelachvili J N and Full R J 2002 Proc. Natl Acad. Sci. USA 99 12252 Autumn K, Liang Y A, Hsieh S T, Zesch W, Chan W P, Kenny T W, Fearing R and Full R J 2000 Nature 405 681
89. Persson B N J 2003 J. Chem. Phys. 118 7614
90. Persson B N J and Gorb S 2004 J. Chem. Phys. 119 11437
91. Carbone G and Persson B N J 2004 Phys. Rev. B at press
92. Geim A K, Dubonos S V, Grigorieva I V, Novoselov K S, Zhukov A A and Shapoval S Yu 2003 Nature 2 461
93. Press W H, Flannery B P, Teukolsky S A and Vetterling W T 1992 Numerical Recipes in Fortran 2nd edn (Cambridge: Cambridge University Press)