Contact between rough surfaces and a criterion for macroscopic adhesion

Proceedings of the National Academy of Sciences of the United States of America

Volumn 111, Issue 9, 2014, Pages 3298-3303

  Pastewka, Lars ^a,b   Robbins, Mark O ^a  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b FRAUNHOFER INSTITUTE FOR MECHANICS OF MATERIALS IWM   (Germany)

Author keywords

Contact mechanics; Surface roughness

Indexed keywords

ARTICLE; ATOMIC ABSORPTION; CELL ADHESION; GEOMETRY; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; SURFACE PROPERTY;

CONTACT MECHANICS; SURFACE ROUGHNESS;

ADHESIVENESS; ELASTICITY; MODELS, THEORETICAL; PHYSICS; SURFACE PROPERTIES;

EID: 84895792250     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1320846111     Document Type: Article

References (49)

1. Israelachvili JN (2011) Intermolecular and Surface Forces (Academic, London), 3rd Ed.
2. Autumn K, et al. (2000) Adhesive force of a single gecko foot-hair. Nature 405(6787): 681-685.
3. Autumn K, et al. (2002) Evidence for van der Waals adhesion in gecko setae. Proc Natl Acad Sci USA 99(19):12252-12256.
4. Huber G, et al. (2005) Evidence for capillarity contributions to gecko adhesion from single spatula nanomechanical measurements. Proc Natl Acad Sci USA 102(45): 16293-16296.
5. Prowse MS, Wilkinson M, Puthoff JB, Mayer G, Autumn K (2011) Effects of humidity on the mechanical properties of gecko setae. Acta Biomater 7(2):733-738.
6. Geim AK, et al. (2003) Microfabricated adhesive mimicking gecko foot-hair. Nat Mater 2(7):461-463.
7. Maboudian R (1998) Adhesion and friction issues associated with reliable operation of MEMS. MRS Bull 23(6):47-51.
8. Kendall K (2001) Molecular Adhesion and Its Applications: The Sticky Universe (Kluwer Academic, New York).
9. Fuller KNG, Tabor D (1975) The effect of surface roughness on the adhesion of elastic solids. Proc R Soc Lond A Math Phys Sci 345(1642):327-342.
10. Persson BNJ, Albohr O, Tartaglino U, Volokitin AI, Tosatti E (2005) On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion. J Phys Condens Matter 17(1):R1-R62.
11. Jacobs TDB, et al. (2013) The effect of atomic-scale roughness on the adhesion of nanoscale asperities: A combined simulation and experimental investigation. Tribol Lett 50(1):81-93.
12. Whitehouse DJ, Archard JF (1970) The properties of random surfaces of significance in their contact. Proc R Soc Lond A Math Phys Sci 316(1524):97-121.
13. Mandelbrot BB (1982) The Fractal Geometry of Nature (W. H. Freeman, New York).
14. Mandelbrot BB, Passoja DE, Paullay AJ (1984) Fractal character of fracture surfaces of metals. Nature 308(19):721-722.
15. Greenwood JA, Williamson JBP (1966) Contact of nominally flat surfaces. Proc R Soc Lond A Math Phys Sci 295(1442):300-319.
16. Maugis D (1996) On the contact and adhesion of rough surfaces. J Adhes Sci Technol 10(2):161-175.
17. Persson BNJ (2001) Elastoplastic contact between randomly rough surfaces. Phys Rev Lett 87(11):116101.
18. Persson BNJ (2008) On the elastic energy and stress correlation in the contact between elastic solids with randomly rough surfaces. J Phys Condens Matter 20(31):312001.
19. Campañá C, Müser MH, Robbins MO (2008) Elastic contact between self-affine surfaces: Comparison of numerical stress and contact correlation functions with analytic predictions. J Phys Condens Matter 20(35):354013.
20. Hyun S, Pei L, Molinari J-F, Robbins MO (2004) Finite-element analysis of contact between elastic self-affine surfaces. Phys Rev E Stat Nonlin Soft Matter Phys 70(2): 026117.
21. Campañá C, Müser MH (2007) Contact mechanics of real vs. randomly rough surfaces: A Green's function molecular dynamics study. Europhys Lett 77(3):38005.
22. Putignano C, Afferrante L, Carbone G, Demelio G (2012) The influence of the statistical properties of self-affine surfaces in elastic contacts: A numerical investigation. J Mech Phys Solids 60(5):973-982.
23. Yastrebov VA, Anciaux G, Molinari J-F (2012) Contact between representative rough surfaces. Phys Rev E Stat Nonlin Soft Matter Phys 86(3):035601(R).
24. Greenwood J, Wu J (2001) Surface roughness and contact: An apology. Meccanica 36(6):617-630.
25. Carbone G, Bottiglione F (2008) Asperity contact theories: Do they predict linearity between contact area and load? J Mech Phys Solids 56(8):2555-2572.
26. Persson BNJ, Tosatti E (2001) The effect of surface roughness on the adhesion of elastic solids. J Chem Phys 115(12):5597-5610.
27. Persson BNJ (2002) Adhesion between elastic bodies with randomly rough surfaces. Phys Rev Lett 89(24):245502.
28. Peressadko AG, Hosoda N, Persson BNJ (2005) Influence of surface roughness on adhesion between elastic bodies. Phys Rev Lett 95(12):124301.
29. Persson BNJ, et al. (2008) On the origin of Amonton's friction law. J Phys Condens Matter 20(39):395006.
30. Mulakaluri N, Persson BNJ (2011) Adhesion between elastic solids with randomly rough surfaces: Comparison of analytical theory with molecular-dynamics simulations. EPL 96(6):66003.
31. Johnson KL (1985) Contact Mechanics (Cambridge University Press, Cambridge, UK).
32. Tabor D (1977) Surface forces and surface interactions. J Colloid Interface Sci 58(1): 2-13.
33. Derjaguin BV, Muller VM, Toporov YP (1975) Effect of contact deformations on the adhesion of particles. J Colloid Interface Sci 53(2):314.
34. Chow TS (2001) Nanoadhesion between rough surfaces. Phys Rev Lett 86(20):4592-4595.
35. Akarapu S, Sharp T, Robbins MO (2011) Stiffness of contacts between rough surfaces. Phys Rev Lett 106(20):204301.
36. Campañá C, Persson BNJ, Müser MH (2011) Transverse and normal interfacial stiffness of solids with randomly rough surfaces. J Phys Condens Matter 23(8):085001.
37. Greenwood JA (1984) A unified theory of surface roughness. Proc R Soc Lond A Math Phys Sci 393(1804):133.
38. Persson BNJ (2008) Capillary adhesion between elastic solids with randomly rough surfaces. J Phys Condens Matter 20(31):315007.
39. Tong QY, Gösele UM (1999) Wafer bonding and layer splitting for microsystems. Adv Mater 11(17):1409-1425.
40. Bowden FP, Tabor D (1950) The Friction and Lubrication of Solids (Oxford University Press, Oxford).
41. Creton C, Leibler L (1996) How does tack depend on time of contact and contact pressure? J Polym Sci Pol Phys 34(3):545-554.
42. Gorb SN, Beutel RG (2001) Evolution of locomotory attachment pads of hexapods. Naturwissenschaften 88(12):530-534.
43. Gorb SN (2010) Biological and biologically inspired attachment systems. Springer Handbook of Nanotechnology, ed Bhushan B (Springer, Berlin), pp 1525-1551.
44. Ramisetti SB, et al. (2011) The autocorrelation function for island areas on self-affine surfaces. J Phys Condens Matter 23(21):215004.
45. Pastewka L, Sharp TA, Robbins MO (2012) Seamless elastic boundaries for atomistic calculations. Phys Rev B 86(7):075459.
46. Campañá C, Müser MH (2006) Practical Green's function approach to the simulation of elastic semi-infinite solids. Phys Rev B 74(7):075420.
47. Luan B, Robbins MO (2005) The breakdown of continuum models for mechanical contacts. Nature 435(7044):929-932.
48. Mo Y, Turner KT, Szlufarska I (2009) Friction laws at the nanoscale. Nature 457(7233): 1116-1119.
49. Knippenberg MT, Mikulski PT, Dunlap BI, Harrison JA (2008) Atomic contributions to friction and load for tip-self-assembled monolayers interactions. Phys Rev B 78(23): 235409.