Multiscale friction mechanisms and hierarchical surfaces in nano- and bio-tribology

Materials Science and Engineering R: Reports

Volumn 58, Issue 3-5, 2007, Pages 162-193

  Nosonovsky, Michael ^a   Bhushan, Bharat ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

Adhesion; Biotribology; Friction; Nanotribology; Superhydrophobicity

Indexed keywords

ADHESION; CHEMICAL BONDS; ENERGY DISSIPATION; NANOTRIBOLOGY; PARAMETERIZATION; SURFACE ROUGHNESS;

BIOTRIBOLOGY; FRICTION MECHANISMS; SUPERHYDROPHOBICITY;

FRICTION;

EID: 35748957482     PISSN: 0927796X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mser.2007.09.001     Document Type: Review

References (125)

1. Bhushan B. Springer Handbook of Nanotechnology. 2nd ed. (2007), Springer-Verlag, Heidelberg
2. Gao H., Huang Y., Nix W.D., and Hutchinson J.W. Mechanism-based strain-gradient plasticity. J. Mech. Phys. Solids 47 (1999) 1239-1263
3. Nosonovsky M., and Bhushan B. Roughness optimization for biomimetic superhydrophobic surfaces. Microsys. Technol. 11 (2005) 535-549
4. Nosonovsky M., and Bhushan B. Stochastic model for metastable wetting of roughness-induced superhydrophobic surfaces. Microsyst. Technol. 12 (2006) 231-237
5. Nosonovsky M., and Bhushan B. Wetting of rough three-dimensional superhydrophobic surfaces. Microsyst. Technol. 12 (2006) 273-281
6. Nosonovsky M., and Bhushan B. Lotus effect: roughness-induced superhydrophobicity. In: Bhushan B. (Ed). Applied Scanning Probe Methods vol. 7 (2007), Springer-Verlag 1-40
7. Nosonovsky M., and Bhushan B. Hierarchical roughness makes superhydrophobic surfaces stable. Microelectr. Eng. 84 (2007) 382-386
8. Nosonovsky M., and Bhushan B. Hierarchical roughness optimization for biomimetic superhydrophobic surfaces. Ultramicroscopy 107 (2007) 969-979
9. Bhushan B., Nosonovsky M., and Jung Y.C. Towards optimization of patterned superhydrophobic surfaces. J. R. Soc. Interf. 4 (2007) 643-648
10. Bhushan B. Nanotribology and Nanomechanics-An Introduction (2005), Springer-Verlag, Heidelberg
11. Homola A.W., Israelachvili J.N., McGuiggan P.M., and Gee M.L. Fundamental experimental studies in tribology: the transition from interfacial friction of undamaged molecularly smooth surfaces to normal friction with wear. Wear 136 (1990) 65-83
12. Schwarz U.D., Zwörner O., Köster P., and Wiesendanger R. Quantitative analysis of the frictional properties of solid materials at low loads. 1. Carbon compounds. Phys. Rev. B 56 (1997) 6987-6996
13. Blau P.J. Scale effects in steady-state friction. Tribol. Trans. 34 (1991) 335-342
14. Hurtado J., and Kim K.-S. Scale effect in friction of single-asperity contacts. I. From concurrent slip to single-dislocation-assisted slip. II. Multiple-dislocations-cooperated slip. Proc. R. Soc. Lond. A 455 (1999) 3363-3400
15. Niederberger S., Gracias D.H., Komvopoulos K., and Somorjai G.A. Transition from nanoscale to microscale dynamic friction mechanisms on polyethylene and silicon surfaces. J. Appl. Phys. 87 (2000) 3143-3150
16. Zhang L.C., Johnson K.L., and Cheong W.C.D. A molecular dynamics study of scale effects on the friction of single-asperity contacts. Tribol. Lett. 10 (2001) 23-28
17. Wenning L., and Müser M.H. Friction laws for elastic nanoscale contacts. Europhys. Lett. 54 (2001) 693-699
18. Czichos H. Tribology and its many facets: from macroscopic to microscopic and nanoscale phenomena. Meccanica 36 (2001) 605-615
19. Bhushan B., and Nosonovsky M. Scale effects in friction using strain gradient plasticity and dislocation-assisted sliding (microslip). Acta Mater. 51 (2003) 4331-4345
20. Bhushan B., and Nosonovsky M. Comprehensive model for scale effect in friction. Acta Mater. 52 (2004) 2461-2474
21. Bhushan B., and Nosonovsky M. Scale effects in dry and wet friction, wear, and interface temperature. Nanotechnology 15 (2004) 749-761
22. Bhushan B., and Nosonovsky M. In: Bhushan B. (Ed). Scale Effect in Tribology and Mechanical Properties, Springer Handbook of Nanotechnology. 2nd ed. (2007), Springer-Verlag, Berlin 1167-1197
23. He G., and Robbins M.O. Scale effects and the molecular origins of tribological behavior. In: Hsu S.M., and Ying Z.C. (Eds). Nanotribology: Critical Assessment and Research Needs (2003), Kluwer 29-44
24. Adams G.G., Muftu S., and Mohd Azhar N. A scale-dependent model for multiasperity contact and friction. ASME J. Tribol. 125 (2003) 700-708
25. Urbakh M., Klafter J., Gourdon D., and Israelachvili J. The nonlinear nature of friction. Nature 430 (2004) 525-528
26. Carpinteri A., and Pugno N. Are scaling laws on strength of solids related to mechanics or to geometry?. Nat. Mater. 4 (2005) 421-423
27. Pugno N.M. A general shape/size effect law for nanoindentation. Acta Mater. 55 (2007) 1947-1953
28. Johnson K.L. Adhesion and friction between a smooth elastic spherical asperity and a plane surface. Proc. R. Soc. Lond. A 453 (1997) 163-179
29. Deshpande V.S., Needleman A., and Van der Giessen E. Discrete dislocation plasticity analysis of static friction. Acta Mater. 52 (2004) 3135-3149
30. Kogut L., and Etsion I. A static friction model for elastic-plastic contacting rough surfaces. ASME J. Tribol. 126 (2004) 34-40
31. Nosonovsky M., and Bhushan B. Scale effect in dry friction during multiple-asperity contact. ASME J. Tribol. 127 (2005) 37-46
32. Nosonovsky M. Modeling size, load, and velocity effect on friction at micro/nanoscale. Int. J. Surf. Sci. Eng. 1 (2007) 22-37
33. Stark R., Schitter G., and Stemmer A. Velocity dependent friction laws in contact mode atomic force microscopy. Ultramicroscopy 100 (2004) 309-317
34. Carpinteri A., and Paggi M. Size-scale effect on the friction coefficient. Int. J. Sol. Struct. 42 (2005) 2901-2910
35. Bowden F.P., and Tabor D. The Friction and Lubrication of Solids (1950), Clarendon Press, Oxford
36. Bhushan B. Introduction to Tribology (2002), John Wiley, New York
37. Maugis D. Contact, Adhesion and Rupture of Elastic Solids (1999), Springer-Verlag, Berlin
38. Greenwood J.A., and Williamson J.B.P. Contact of nominally flat surfaces. Proc. R. Soc. Lond. A 295 (1966) 300-319
39. Maeda N., Chen N., Tirrell N., and Israelachvili J.N. Adhesion and friction mechanisms of polymer-on-polymer surfaces. Science 297 (2002) 379-382
40. Szoszkiewicz R., Bhushan B., Huey B.D., Kulik A.J., and Gremaud G. Correlations between adhesion hysteresis and friction at molecular scales. J. Chem. Phys. 122 (2005) 144708
41. Zeng H.B., Tirrell M., and Israelachvili J. Limit cycles in dynamic adhesion and friction processes: a discussion. J. Adhes. 82 (2006) 933-943
42. Ruths M., and Israelachvili J.N. Surface forces and nanorheology of molecularly thin films. In: Bhushan B. (Ed). Springer Handbook of Nanotechnology. 2nd ed. (2007), Springer-Verlag, Berlin 859-924
43. Johnson K.L., Kendall K., and Roberts A.D. Surface energy and the contact of elastic solids. Proc. R. Soc. Lond. A 324 (1971) 301-313
44. Derjaguin B.V., Muller V.M., and Toporov Yu.P. Effect of contact deformation on the adhesion of particles. J. Colloid Interf. Sci. 53 (1975) 314-326
45. Briggs G.A.D., and Briscoe B.J. The effect of surface topography on the adhesion of elastic solids. J. Phys. D 10 (1977) 2453-2466
46. Maugis D. Adhesion of spheres: the JKR-DMT transition using a Dugdale model. J. Colloid Interf. Sci. 150 (1992) 243-269
47. Johnson K.L. Mechanics of adhesion. Tribol. Int. 31 (1998) 413-418
48. Chow T.S. Nanoadhesion between rough surfaces. Phys. Rev. Lett. 86 (2001) 4592-4595
49. Tabor D. Surface forces and surface interactions. J. Colloid Interf. Sci. 58 (1976) 2-13
50. Adams G.G., and Nosonovsky M. Contact modelling-forces. Tribol. Int. 33 (2000) 441-442
51. Rabinovich Y.I., Adler J.J., Ata A., Singh R.K., and Moudgil B.M. Adhesion between nanoscale rough surfaces. J. Colloid Interf. Sci. 232 (2000) 10-16
52. Persson B.N.J. Contact mechanics for randomly rough surfaces: new results and some comments. Surf. Sci. Rep. 61 (2006) 201-227
53. Yang S.H., Zhang H., and Hsu S.M. Correction for random surface roughness on colloidal probes in measuring adhesion. Langmuir 23 (2007) 1195-1202
54. Chang W.R., Etzion I., and Bogy D.B. An elastic-plastic model for the contact of rough surfaces. ASME J. Tribol. 109 (1987) 257-263
55. Rice J. Dislocation nucleation from a crack tip: an analysis based on the Pierls concept. J. Mech. Phys. Solids 40 (1991) 239-271
56. Gerde E., and Marder M. Friction and fracture. Nature 413 (2001) 285-288
57. Kessler D.A. Surface physics: a new crack on friction. Nature 413 (2001) 260-261
58. Israelachvili J.N. Intermolecular and Surface Forces. 2nd ed. (1991), Academic Press, London
59. Archard J.F. Elastic deformation and the laws of friction. Proc. R. Soc. Lond. A 243 (1957) 190-205
60. Majumdar A., and Bhushan B. Fractal model of elastic-plastic contact between rough surfaces. ASME J. Tribol. 113 (1991) 1-11
61. Nicolis J. Dynamics of Hierarchical Systems: An Evolutionary Approach (1986), Springer-Verlag
62. Tolstoi D.M. Significance of the normal degree of freedom and natural normal vibrations in contact friction. Wear 10 (1967) 199-213
63. Persson B.N.J. Sliding Friction. Physical Principles and Applications (2000), Springer
64. Martins J.A.C., Oden J.T., and Simoes F.M.F. A study of static and kinetic friction. Int. J. Eng. Sci. 28 (1990) 29-92
65. 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
66. Dieterich J.H. Modeling of rock friction. J. Geophys. Res. 84 (1979) 2161-2168
67. Ranjith K., and Rice J. Slip dynamics at an interface between dissimilar materials. J. Mech. Phys. Solids 49 (2001) 341-361
68. Müser M., Urbakh M., and Robbins M.O. Statistical mechanics of static and low-velocity kinetic friction. Adv. Chem. Phys. 126 (2003) 187-272
69. Dienwiebel M., Verhoeven G.S., Namboodiri P., Frenken J.W.M., Hemberg J.A., and Zandbergen H.W. Superlubricity of graphite. Phys. Rev. Lett. 92 (2004) 126101
70. He G., Müser M.H., and Robbins M.O. Science 284 (1999) 1650
71. Sokoloff J.B. Possible microscopic explanation of the virtually universal occurrence of static friction. Phys. Rev. B 65 (2002) 115415
72. Daly C., Zhang J., and Sokoloff J.B. Friction in the zero sliding velocity limit. Phys. Rev. E 68 (2003) 066118
73. Nosonovsky M. Model for solid-liquid and solid-solid friction for rough surfaces with adhesion hysteresis. J. Chem. Phys. 126 (2007) 224701
74. Swain P.S., and Lipowsky R. Contact angles on heterogeneous surfaces: a new look at Cassie's and Wenzel's laws. Langmuir 14 (1998) 6772-6780
75. Adamson A.V. Physical Chemistry of Surfaces (1990), Wiley, NY
76. Wenzel R.N. Resistance of solid surfaces to wetting by water. Ind. Eng. Chem. 28 (1936) 988-994
77. Cassie A., and Baxter S. Wettability of porous surfaces. Trans. Faraday Soc. 40 (1944) 546-551
78. Johnson R.E., and Dettre R.H. Contact angle hysteresis. In: Fowkes F.M. (Ed). Contact Angle, Wettability, and Adhesion, Adv. Chem. Ser. vol. 43 (1964), American Chemical Society, Washington, DC 112-135
79. Bico J., Thiele U., and Quéré D. Wetting of textured surfaces. Colloids Surf. A 206 (2002) 41-46
80. Marmur A. Wetting on hydrophobic rough surfaces: to be heterogeneous or not to be?. Langmuir 19 (2003) 8343-8348
81. Marmur A. The lotus effect: superhydrophobicity and metastability. Langmuir 20 (2004) 3517-3519
82. Lafuma A., and Quėrė D. Superhydrophobic states. Nat. Mater. 2 (2003) 457-460
83. Patankar N.A. Transition between superhydrophobic states on rough surfaces. Langmuir 20 (2004) 7097-7102
84. Patankar N.A. Mimicking the lotus effect: influence of double roughness structures and slender pillars. Langmuir 20 (2004) 8209-8213
85. He B., Patankar N.A., and Lee J. Multiple equilibrium droplet shapes and design criterion for rough hydrophobic surfaces. Langmuir 19 (2003) 4999-5003
86. Li W., and Amirfazli A. A thermodynamic approach for determining the contact angle hysteresis for superhydrophobic surfaces. J. Colloid Interf. Sci. 292 (2006) 195-201
87. Nosonovsky M. Multiscale roughness and stability of superhydrophobic biomimetic interfaces. Langmuir 23 (2007) 3157-3161
88. Extrand C.W. Model for contact angles and hysteresis on rough and ultraphobic surfaces. Langmuir 18 (2002) 7991-7999
89. Herminghaus S. Roughness-induced non-wetting. Europhys. Lett. 52 (2000) 165-170
90. Sun M., Luo C., Xu L., Ji H., Ouyang Q., Yu D., and Chen Y. Artificial lotus leaf by nanocasting. Langmuir 21 (2005) 8978-8981
91. Shibuichi S., Onda T., Satoh N., and Tsujii K. Super-water-repellent surfaces resulting from fractal structure. J. Phys. Chem. 100 (1996) 19512-19517
92. Cottin-Bizonne C., Barrat J.-L., Bocquet L., and Charlaix E. Low-friction flows of liquid at nanopatterned interfaces. Nat. Mater. 2 (2003) 237-240
93. Choi C.-H., and Kim C.-J. Large slip of aqueous liquid flow over a nanoengineered superhydrophobic surface. Phys. Rev. Lett. 96 (2006) 066001
94. Neinhuis C., and Barthlott W. Characterization and distribution of water-repellent, self-cleaning plant surfaces. Ann. Bot. 79 (1997) 667-677
95. Wagner P., Furstner R., Barthlott W., and Neinhuis C. Quantitative assessment to the structural basis of water repellence in natural and technical surfaces. J. Exp. Bot. 54 (2003) 1295-1303
96. Gao X.F., and Jiang L. Biophysics: water-repellent legs of water striders. Nature 432 (2004) 36
97. Burton Z., and Bhushan B. Hydrophobicity, adhesion, and friction properties of nanopatterned polymers and scale dependence for micro- and nanoelectromechanical systems. Nanoletters 5 (2005) 1607-1613
98. Burton Z., and Bhushan B. Surface characterization and adhesion and friction properties of hydrophobic leaf surfaces. Ultramicroscopy 106 (2006) 709-719
99. Bhushan B., and Jung Y.C. Micro- and nanoscale characterization of hydrophobic and hydrophilic leaf surfaces. Nanotechnology 17 (2006) 2758-2772
100. Bhushan B., and Jung Y.C. Wetting study of patterned surfaces for superhydrophobicity. Ultramicroscopy 107 (2007) 1033-1041
101. Jung Y.C., and Bhushan B. Contact angle adhesion and friction properties of micro and nanopatterned polymers for superhydrophobicity. Nanotechnology 17 (2006) 4970-4980
102. Y.C. Jung, B. Bhushan, Wetting behavior during evaporation and condensation of water microdroplets on superhydrophobic patterned surfaces, J. Micros., in press.
103. Yost F.G., Michael J.R., and Eisenmann E.T. Extensive wetting due to roughness. Acta Metall. Mater. 45 (1995) 299-305
104. Erbil H.Y., Demirel A.L., and Avci Y. Transformation of a simple plastic into a superhydrophobic surface. Science 299 (2003) 1377-1380
105. Cheng Y.T., Rodak D.E., Angelopoulos A., and Gacek T. Microscopic observation of condensation of water on lotus leaves. Appl. Phys. Lett. 87 (2005) 194112
106. Barbieri L., Wagner E., and Hoffmann P. Water wetting transition parameters of perfluorinated substrates with periodically distributed flat-top microscale obstavles. Langmuir 23 (2007) 1723-1734
107. Quéré D. Surface wetting: model droplets. Nat. Mater. 3 (2004) 79-80
108. Checco A., Guenoun P., and Daillant J. Nonlinear dependence of the contact angle of nanodroplets on contact line curvatures. Phys. Rev. Lett. 91 (2003) 186101
109. Nosonovsky M. On the range of applicability of the Wenzel and Cassie equations. Langmuir 23 (2007) 9919-9920
110. Cheng Y.T., Rodak D.E., Wong C.A., and Hayden C.A. Effect of micro- and nanostructures on the self-cleaning behavior of lotus leaves. Nanotechnology 17 (2006) 1359-1362
111. Wier K.A., and McCarthy T.J. Condensation on ultrahydrophobic surfaces and its effect on droplet mobility: ultrahydrophobic surfaces are not always water repellent. Langmuir 22 (2006) 2433-2436
112. Kamusewitz H., Possart W., and Paul D. The relation between Young's equilibrium contact angle and the hysteresis on rough paraffin wax surfaces. Colloids Surf. A: Physicochem. Eng. Aspects 156 (1999) 271-279
113. Nosonovsky M., and Bhushan B. Biomimetic superhydrophobic surfaces: multiscale approach. Nano Letters 7 (2007) 2633-2637
114. Bormashenko E., Stein T., Whyman G., Bormashenko Y., and Pogreb E. Wetting properties of the multiscaled nanostructured polymer and metallic superhydrophobic surfaces. Langmuir 22 (2006) 9982-9985
115. Gao H., Wang X., Yao H., Gorb S., and Artz E. Mechanocs of hierarchical adhesion structures in geckos. Mech. Mater. 37 (2005) 275-285
116. Bhushan B., Peressadko A.G., and Kim T.W. Adhesion analysis of two-level hierarchical morphology in natural attachment systems for smart adhesion. J. Adhes. Sci. Technol. 20 (2006) 1475-1491
117. Autumn K. How gecko toes stick. Am. Sci. 94 (2006) 124-132
118. Bhushan B., and Sayer R.A. Gecko feet: natural attachment systems for smart adhesion. In: Bhushan B. (Ed). Applied Scanning Probe Methods vol. 7 (2007), Springer-Verlag 41-76
119. Bhushan B., and Sayer R.A. Surface characterization and friction of bio-inspired reversible adhesive tape. Microsys. Technol. 13 (2007) 71-78
120. Kim T.W., and Bhushan B. Adhesion analysis of multi-level hierarchical attachment system contacting with a rough surface. J. Adhes. Sci. Technol. 21 (2007) 1-20
121. Kim T.W., and Bhushan B. Effect of stiffness of multi-level hierarchical attachment system on adhesion enhancement. Ultramicroscopy 107 (2007) 902-912
122. Fratzl P. Biomimetic materials research: what can we really learn from nature's structural materials?. J. R. Soc. Interf. 4 (2007) 637-642
123. Autumn K., Liang Y.A., Hsieh S.T., Zesch W., Chan W.P., Kenny T.W., Fearing R., and Full R.J. Adhesive force of a single gecko foot-hair. Nature 405 (2000) 681-685
124. Arzt E., Gorb S., and Spolenak R. From micro to nano contacts in biological attachment devices. Proc. Natl. Acad. Sci. 100 (2003) 10603-10606
125. Greenwood J.A., and Wu J.J. Surface roughness and contact: an apology. Mechanica 36 (2001) 617-630