Mechanics of axisymmetric wavy surface adhesion: JKR-DMT transition solution

International Journal of Solids and Structures

Volumn 46, Issue 5, 2009, Pages 1033-1042

  Waters, J F ^a   Lee, S ^b   Guduru, P R ^a  

^a Brown University   (United States)

^b BOEING COMPANY   (United States)

Author keywords

Adhesion; Contact mechanics; JKR DMT transition; Wavy surface

Indexed keywords

ADHESION; COMPUTER SYSTEM RECOVERY; DILATOMETERS; STRENGTHENING (METAL);

AXISYMMETRIC; COHESIVE ZONES; CONTACT MECHANICS; DIMENSIONLESS PARAMETERS; EXTERNAL WORKS; FLAT INTERFACES; JKR-DMT TRANSITION; MECHANICAL ENERGIES; PEAK FORCES; RIGID SPHERES; SURFACE WAVINESSES; WAVY INTERFACES; WAVY SURFACE;

MECHANICS;

EID: 58249125787     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.10.013     Document Type: Article

References (34)

1. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (1965), Dover, New York
2. Barquins M., and Maugis D. Adhesive contact of axisymmetric punches on an elastic half-space: the modified Hertz-Huber's stress tensor for contacting spheres. J. Mec. Theor. Appl. 1 (1982) 331-357
3. Barthel E. On the description of the adhesive contact of spheres with arbitrary interaction potentials. J. Colloid Interface Sci. 200 (1998) 7-18
4. Briggs G.A.D., and Briscoe B.J. The effect of surface topography on the adhesion of elastic solids. J. Phys. D Appl. Phys. 10 (1977) 2453-2466
5. Carbone G., and Mangialardi L. Adhesion and friction of an elastic half-space in contact with a slightly wavy rigid surface. J. Mech. Phys. Solids 52 (2004) 1267-1287
6. Derjaguin B.V., Muller V.M., and Toporov Y.P. Effect of contact deformation on the adhesion of particles. J. Colloid Interface Sci. 53 (1975) 314-326
7. Dugdale D.S. Yielding of steel sheets containing slits. J. Mech. Phys. Solids 8 (1960) 100-104
8. Fuller K.N.G., and Roberts A.D. Rubber rolling on rough surfaces. J. Phys. D Appl. Phys. 14 (1981) 221-239
9. Fuller K.N.G., and Tabor D. The effect of surface roughness on the adhesion of elastic solids. Proc. Roy. Soc. Lond. A 345 (1975) 327-342
10. Greenwood J.A., and Williamson J.B.P. Contact of nominally flat surfaces. Proc. Roy. Soc. Lond. A 295 (1966) 300-319
11. Guduru P.R. Detachment of a rigid solid from an elastic wavy surface: theory. J. Mech. Phys. Solids 55 (2007) 473-488
12. Guduru P.R., and Bull C. Detachment of a rigid solid from an elastic wavy surface: experiments. J. Mech. Phys. Solids 55 (2007) 473-488
13. Hill R., and Storakers B. A concise treatment of axisymmetric indentation in elasticity. In: Eason G., and Ogden R.W. (Eds). Elasticity: Mathematical Methods and Applications (1990), Ellis Horwood Publishers, Chichester 99-210
14. Hui C.Y., Lin Y.Y., Baney J.M., and Kramer E.J. The mechanics of contact and adhesion of periodically rough surfaces. J. Polym. Sci. B Polym. Phys. (2001) 1196-1214
15. Johnson K.L. Contact Mechanics (1985), Cambridge University Press, Cambridge
16. Johnson K.L. The adhesion of two elastic bodies with slightly wavy surfaces. Int. J. Solids Struct. 32 (1995) 423-430
17. Johnson K.L., and Greenwood J.A. An adhesion map for the contact of elastic spheres. J. Colloid Interface Sci. 192 (1997) 326-333
18. Johnson K.L., Kendall K., and Roberts A.D.R. Surface energy and the contact of elastic solids. Proc. Roy. Soc. Lond. A 324 (1971) 301-313
19. Kim K.-S., McMeeking R.M., and Johnson K.L. Adhesion, slip, cohesive zones and energy fluxes for elastic spheres in contact. J. Mech. Phys. Solids 46 (1998) 243-266
20. Kim H.-C., and Russell T.P. Contact of elastic solids with rough surfaces. J. Polym. Sci. B Polym. Phys. 39 (2001) 1848-1854
21. Maugis D. Adhesion of spheres: the JKR-DMT transition using a Dugdale model. J. Colloid Interface Sci. 150 (1992) 243-269
22. Maugis D. Contact, Adhesion, and Rupture of Elastic Solids (2000), Springer, Berlin
23. Morrow C.A., and Lovell M.R. A solution for lightly loaded adhesive rough surfaces with application to MEMS. Trans. ASME J. Tribol. 127 (2005) 206-212
24. Morrow C., Lovell M., and Ning X. A JKR-DMT transition solution for adhesive rough surface contact. J. Phys. D Appl. Phys. 36 (2003) 534-540
25. Muller V.M., Yushenko V.S., and Derjaguin B.V. On the influence of molecular forces on the deformation of an elastic sphere and its sticking to a rigid plane. J. Colloid Interface Sci. 77 (1980) 91-101
26. Muller V.M., Derjaguin B.V., and Toporov Y.P. On two methods of calculation of the force of sticking of an elastic sphere to a rigid plane. Colloids Surf. 7 (1983) 251-259
27. Persson B.N.J. Adhesion between an elastic body and a randomly rough hard surface. Eur. Phys. J. E8 (2002) 385-401
28. Persson B.N.J., and Tosatti E. The effect of surface roughness on the adhesion of elastic solids. J. Chem. Phys. 115 (2001) 5597-5610
29. Santos R., Gorb S., Jamar V., and Flammang P. Adhesion of echinoderm tube feet to rough surfaces. J. Exp. Biol. 208 (2005) 2555-2567
30. Shi X., and Polycarpou A.A. Adhesive transition from noncontacting to contacting elastic spheres: extension of the Maugis-Dugdale model. J. Colloid Interface Sci. 281 (2005) 449-457
31. Sneddon I.N. The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3 (1965) 47-56
32. Tabor D. Surface forces and surface interactions. J. Colloid Interface Sci. 58 (1977) 2-13
33. Walker G. Marine organisms and their adhesion. In: Wake W.C. (Ed). Synthetic Adhesives and Sealants (1987), John Wiley & Sons, Chichester
34. Zilberman S., and Persson B.N.J. Adhesion between elastic bodies with rough surfaces. Solid State Commun. 123 (2002) 173-177