Analysis of the adhesive contact of confined layers by using a Green's function approach

Journal of the Mechanics and Physics of Solids

Volumn 56, Issue 2, 2008, Pages 684-706

  Carbone, G ^a   Mangialardi, L ^a  

^a POLITECNICO DI BARI   (Italy)

Author keywords

Adhesion; Adhesives; Contact mechanics; Fracture mechanics; Integral equations

Indexed keywords

ADHESION; BOUNDARY CONDITIONS; CONFINED FLOW; GREEN'S FUNCTION; INTEGRAL EQUATIONS; PRESSURE DISTRIBUTION;

ADHESIVE CONTACT; FREDHOLM INTEGRAL EQUATION; LOGARITHMIC KERNELS; NUMERICAL CODES; ROUGH RIGID SUBSTRATES; SOFT ELASTIC LAYERS;

FRACTURE MECHANICS;

EID: 38749144706     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2007.05.009     Document Type: Article

References (39)

1. Bhushan B., Israelachvili J., and Landman U. Nanotribology: friction, wear and lubrication at the atomic scale. Nature 374 (1995) 607
2. Brown K.R., and Creton C. Nucleation and growth of cavities in soft viscoelastic layers under tensile stress. Eur. Phys. J. E 9 (2002) 35-40
3. Carbone G., and Decuzzi P. An elastic beam over an adhesive wavy foundation. J. Appl. Phys. 95 8 (2004) 4476-4482
4. 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 6 (2004) 1267-1287
5. Carbone G., and Persson B.N.J. Hot cracks in rubber: origin of the giant toughness of rubber-like materials. Phys. Rev. Lett. 95 (2005) 114301
6. Carbone G., and Persson B.N.J. Crack motion in viscoelastic solids: The role of the flash temperature. Eur Phys. J. E-Soft Matter 17 3 (2005) 261
7. Carbone, G., Tartaglino, U., in preparation.
8. Carbone G., Mangialardi L., and Persson B.N.J. Adhesion between a thin elastic plate and a hard randomly rough substrate. Phys. Rev. B 70 (2004) 125407
9. Creton C., and Hooker J. Bulk and interfacial contributions to the debonding mechanisms of soft adhesives: extension to large strains. Langmuir 17 (2001) 4948-4954
10. Crosby A.J., Shull K.R., Lakrout H., and Creton C. Deformation and failure modes of adhesively bonded elastic layers. J. Appl. Phys. 88 5 (2000) 2956-2966
11. Dugdale D.S. Yielding of steel sheets containing slits. J. Mech. Phys. Solids 8 (1960) 100-104
12. Dundurs J., Tsai K.C., and Keer L.M. Contact between elastic bodies with wavy surfaces. J. Elasticity 3 2 (1973) 109-115
13. Fond C. Cavitation criterion for rubber materials: a review of void-growth models. J. Polym. Sci. B 39 (2001) 2081-2096
14. Fuller K.N.G., and Tabor D. The effect of surface roughness on the adhesion of elastic solids. Proc. R. Soc. London A 345 1642 (1975) 327-342
15. Gao H., and Yao H. Shape insensitive optimal adhesion of nanoscale fibrillar structures. Proc. Natl. Acad. Sci. 101 21 (2004) 7851-7856
16. Gao H., Ji B., Jäger I.L., Arzt E., and Fratzl P. Materials become insensitive to flaws at nanoscale: lessons from nature. Proc. Natl. Acad. Sci. 100 10 (2003) 5597-5600
17. Geim A.K., Dubonos S.V., Gricorieva I.V., Novoselov K.S., Zhukov A.A., and Shapoval S.Yu. Microfabricated adhesive mimicking gecko foot-hair. Nat. Mater. 2 (2003) 461-463
18. Gent A.N., and Lindley P.B. Internal rupture of bonded rubber cylinders in tension. Proc. R. Soc. London Ser A 249 1257 (1959) 195-205
19. Hui C.Y., Kin Y.Y., Baney J.M., and Kramer E.J. The Mechanics of contact and adhesion of periodically rough surfaces. J. Polym. Sci. B 39 (2001) 1195-1214
20. Johnson KL. The adhesion of two elastic bodies with slightly wavy surfaces. Int. J. Solids Struct. 32 3-4 (1995) 423-430
21. Johnson K.L., Kendall K., and Roberts A.D. Surface energy and the contact of elastic solids. Proc. R. Soc. London A 324 (1971) 301-313
22. Landau L.D., and Lifshitz E.M. Theory of Elasticity (1959), Pergamon, London
23. Lin Y.Y., Hui C.-Y., and Conway H.D. A detailed elastic analysis of the flat punch (Tack) test for pressure-sensitive adhesives. J. Polym. Sci. B 38 (2000) 2769
24. Maximon L.C. The dilogarithm function for complex argument. Proc. R. Soc. London Ser. A 459 (2003) 2807-2819
25. Miller D.C., Thapa A., Haberstroh K.M., and Webster T.J. Endothelial and vascular smooth muscle cell function on poly(lactic-co-glycolic acid) with nanostructured surface features. Biomaterials 25 (2004) 53-61
26. Persson B.N.J. Adhesion between elastic bodies with randomly rough surfaces. Phys. Rev. Lett. 89 24 (2002) 245502
27. Persson B.N.J. Nanoadhesion. Wear 254 (2003) 832-834
28. Persson B.N.J. Contact mechanics for randomly rough surfaces. Surf. Sci. Rep. 61 4 (2006) 201-227
29. Persson B.N.J., and Brener E.A. Crack propagation in viscoelastic solids. Phys. Rev. E 71 3 (2005) 036123
30. Roberts AD., and Thomas AD. The adhesion and friction of smooth rubber surfaces. Wear 33 (1975) 45-64
31. Shull K.R., and Creton C. Deformation behavior of thin, compliant layers under tensile loading conditions. J. Polym. Sci. B 42 (2004) 4023-4043
32. Sneddon I.N. Mixed Boundary Value Problems in Potential Theory (1966), North-Holland, Amsterdam
33. Sundararajan S., and Bhushan B. Static friction and surface roughness studies of surface micromachined electrostatic micromotors using an atomic force friction force microscope. J, Vac. Sci. Technol. A 19 4 (2001) 1777-1785
34. Yang F. Adhesive contact between a rigid axisymmetric indenter and an incompressible elastic thin film. J. Phys. D 35 (2002) 2614
35. Yang F., Zhang X., and Li J.C.M. Adhesive contact betweem a rigid sticky sphere and an elastic half space. Langmuir 17 (2001) 716
36. Yoshizawa H., and Israelachvili J. Fundamental mechanisms of interfacial friction. 2. Stick-slip friction of spherical and chain molecules. J. Phys. Chem. 97 (1993) 11300
37. Yoshizawa H., Chen Y., and Israelachvili J. Fundamental mechanisms of interfacial friction. 1. Relation between adhesion and friction. J. Phys. Chem. 97 (1993) 4128
38. Zilberman S., and Persson B.N.J. Nanoadhesion of elastic bodies: roughness and temperature effects. J. Chem. Phys. 118 14 (2003) 6473-6480
39. Zilberman S., and Persson B.N.J. Adhesion between elastic bodies with rough surfaces. Solid State Commun. 123 3-4 (2002) 173-177