Time-dependent fluid squeeze-out between soft elastic solids with randomly rough surfaces

Tribology Letters

Volumn 47, Issue 3, 2012, Pages 409-416

  Scaraggi, M ^a   Persson, B N J ^b  

^a UNIVERSITY OF SALENTO   (Italy)

^b FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

Low elastic modulus EHL; Partial EHL; Roughness effects; Squeeze film lubrication

Indexed keywords

BIO-MEDICAL; ELASTIC CYLINDERS; ELASTIC SOLIDS; INTERFACIAL SEPARATION; LOW ELASTIC MODULUS; NUMERICAL SCHEME; PARTIAL-EHL; PRACTICAL IMPORTANCE; PROBLEM FORMULATION; RANDOMLY ROUGH SURFACES; REAL CONTACT; ROUGHNESS EFFECTS; SOFT CONTACTS; SQUEEZE FILMS; TIME DEPENDENCY; TIME-DEPENDENT;

SURFACE MEASUREMENT;

ELASTOHYDRODYNAMIC LUBRICATION;

EID: 84864624665     PISSN: 10238883     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11249-012-9996-6     Document Type: Article

References (37)

1. Bowden, F.P., Tabor, D.: Friction and Lubrication of Solids. Wiley, New York (1956)
2. Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1966)
3. Persson, B.N.J.: Sliding Friction: Physical Principles and Applications. 2nd edn. Springer, Heidelberg (2000)
4. Israelachvili, J.N.: Intermolecular and Surface Forces. Academic Press, London (1995)
5. Persson, B.N.J., Albohr, O., Tartaglino, U., Volokitin, A.I., Tosatti, E.: On the nature of surface roughness with application to contact mechanics sealing rubber friction and adhesion. J. Phys. Condens. Matter 17, R1 (2005)
6. Persson, B.N.J., Yang, C.: Theory of the leak-rate of seals. J. Phys. Condens. Matt. 20, 315011 (2008)
7. Persson, B.N.J.: Capillary adhesion between elastic solids with randomly rough surfaces. J. Phys.Condens.Matt. 20, 315007 (2008)
8. Putignano, C., Afferrante, L., Carbone, G., Demelio, G.: The influence of the statistical properties of self-affine surfaces in elastic contacts: a numerical investigation. J. Mech. Phys. Solids 60, 973-982 (2012)
9. Akarapu, S., Sharp, T., Robbins, M.O.: Stiffness of contacts between rough surfaces. Phys. Rev. Lett. 106, 204301 (2011)
10. Almqvist, A., Campana, C., Prodanov, N., Persson, B.N.J.: Interfacial separation between elastic solids with randomly rough surfaces: comparison between theory and numerical techniques. J. Mech. Phys. Solids. 59, 2355 (2011)
11. Persson, B.N.J.: Relation between interfacial separation and load: a general theory of contact mechanics. Phys. Rev. Lett. 99, 125502 (2007)
12. Persson, B.N.J.: Contact mechanics for randomly rough surfaces. Surf. Sci. Rep. 61, 201-227 (2006) (Pubitemid 44040951)
13. Hyun, S., Pei, L., Molinari, J.F., Robbins, M.O.: Finite-element analysis of contact between elastic self-affine surfaces. Phys. Rev. E 70, 026117 (2004)
14. Campana, C., Mü ser, M.H.: Contact mechanics of real vs. randomly rough surfaces: a Green's function molecular dynamics study. EPL 77, 38005 (2007)
15. Persson, B.N.J: Theory of rubber friction and contact mechanics. J. Chem. Phys. 115, 3840 (2001)
16. Carbone, G., Scaraggi, M., Tartaglino, U.: Adhesive contact of rough surfaces: comparison between numerical calculations and analytical theories. Eur. Phys. J. E 30, 65 (2009)
17. Scaraggi, M., Carbone, G., Persson, B.N.J., Dini, D.: Lubrication in soft rough contacts: a novel homogenized approach. Part I - Theory. Soft Matter 7, 10395-10406 (2011)
18. Scaraggi, M., Carbone, B.N.J., Dini, D.: Lubrication in soft rough contacts: a novel homogenized approach. Part II - Discussion. Soft Matter 7, 10407-10416 (2011)
19. Persson, B.N.J., Scaraggi, M.: Lubricated sliding dynamics: flow factors and Stribeck curve. Eur. Phys. J. E 34, 113 (2011)
20. Carbone, G., Scaraggi, M., Soria, L.: The lubrication regime at pin-pulley interface in chain CVTs. ASME J. Mech. Des. 131(1), 011003 (2009)
21. Carbone, G., Scaraggi, M., Mangialardi, L.: EHL squeeze at pinpulley interface in CVTs: influence of lubricant rheology. Tribol. Int. 42(6), 862-868 (2009)
22. Scaraggi, M., Carbone, G.: Transition from elastohydrodynamic to mixed lubrication in highly loaded squeeze contacts. J. Mech. Phys. Solids 58(9), 1361-1373 (2010)
23. Scaraggi, M., De Novellis, L., Carbone, G.: EHL-squeeze in high loaded contacts: the case of chain CVT transmissions. Strojniski vestnik: J. Mech. Eng. 56(4), 245-252 (2010)
24. Persson, B.N.J., Scaraggi, M.: On the transition from boundary lubrication to hydrodynamic lubrication in soft contacts. J. Phys. Condens. Matter 21, 185002 (2009)
25. Lorenz, B., Persson, B.N.J.: Time-dependent fluid squeeze-out between solids with rough surfaces. Eur. Phys. J. E 32, 281 (2010)
26. Persson, B.N.J., Prodanov, N., Krick, B.A., Rodriguez, N., Mulakaluri, N., Sawyer, W.G., Mangiagalli, P.: Elastic contact mechanics: percolation of the contact area and fluid squeeze-out. Eur. Phys. J. E 35, 5 (2012)
27. Patir, N., Cheng, H.S.: An average flow model for determining effects of three-dimensional roughness on partial hydrodynamic lubrication. J. Lubr. Technol. Trans. ASME 100, 12-17 (1978) (Pubitemid 8572530)
28. Patir, N., Cheng, H.S.: Application of average flow model to lubrication between rough sliding surfaces. J. Lubr. Technol. Trans. ASME 101, 220-230 (1979) (Pubitemid 9479317)
29. Persson, B.N.J.: Fluid dynamics at the interface between contacting elastic solids with randomly rough surfaces. J. Phys. Condens. Matter 22, 265004 (2010)
30. Hamrock, B.J.: Fundamentals of Fluid Film Lubrication. McGraw-Hill Companies, New York (1994)
31. Sivebaek, I.M., Samoilov, V.N., Persson, B.N.J.: Effective viscosity of confined hydrocarbons. Phys. Rev. Lett. 108, 036102 (2012)
32. Yang, C., Persson, B.N.J.: Contact mechanics: contact area and interfacial separation from small contact to full contact. J. Phys. Condens. Matter 20, 215214 (2008)
33. Lorenz, B., Persson, B.N.J.: Leak rate of seals: effective-medium theory and comparison with experiment. Eur. Phys. J. E 31, 159 (2010)
34. G. Carbone, private communication.
35. Sahlin, F., PhD thesis, Lulea University of Technology (2008), see in particular Appendix F
36. Dapp, W.B., Lücke, A., Persson, B.N.J., Müser, M.H.: Self-affine elastic contacts: percolation and leakage. Phys. Rev. Lett, 108, 244301 (2012)
37. Persson, B.N.J., Tartaglino, U., Albohr, O., Tosatti, E.: Sealing is at the origin of rubber slipping on wet roads. Nat. Mater. 3, 882 (2004)