No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
Similarity theory of lubricated Hertzian contacts
1. B. J. Hamrock, S. R. Schmid, and B. O. Jacobson, Fundamentals of Fluid Film Lubrication, 2nd ed. (Marcel Dekker, New York, 2004).
3. J. M. Skotheim and L. Mahadevan, “Soft lubrication: The elastohydrodynamic of nonconforming and conforming contacts,” Phys. Fluids 17, 092101 (2005).
4. R. Gohar and H. Rahnejat, Fundamentals of Tribology (Imperial College Press, London, 2012).
5. R. Gohar, Elastohydrodynamics, Ellis Horwood Series in Engineering Science (E. Horwood, Chichester, West Sussex, 1988).
6. C. H. Venner and A. A. Lubrecht, Multilevel Methods in Lubrication (Elsevier, Amsterdam, 2000).
7. J. Urzay, S. G. Llewellyn Smith, and B. J. Glover, “The elastohydrodynamic force on a sphere near a soft wall,” Phys. Fluids 19, 103106 (2007).
8. L. D. Landau and E. M. Lifshitz, Elasticity (Pergamon, Oxford, 1984).
10. E. J. Bissett, “The line contact problem of elastohydrodynamic lubrication. I. Asymptotic structure for low speeds,” Proc. R. Soc. London, Ser. A 424, 393 (1989).
11. E. J. Bissett and D. A. Spence, “The line contact problem of elastohydrodynamic lubrication. II. Numerical solutions of the integrodifferential equations in the transition exit layers,” Proc. R. Soc. London, Ser. A 424, 409 (1989).
14. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 1967).
15. D. Dowson and G. R. Higginson, Elastohydrodynamic Lubrication, the Fundamentals of Roller and Gear Lubrication (Pergamon Press, Oxford, UK, 1966).
16. P. M. Lugt, Grease Lubrication in Rolling Bearings (Wiley, 2013).
19. K. L. Johnson, Contact Mechanics (Cambridge University Press, 1985).
20. H. Hochstadt, Integral Equations (John Wiley, 1973).
21. K. Herrebrugh, “Solving the incompressible and isothermal problem in elastohydrodynamic lubrication through an integral equation,” ASME J. Lubr. Technol. 90, 262 (1968).
22. W. H. Press, S. A. Teukolski, W. T. Vetterling, and B. P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, 1992).
25. R. Gohar and A. Cameron, “Optical measurement of oil film thickness under elasto-hydrodynamic lubrication,” Nature (London) 200, 458 (1963).
28. P.-G. de Gennes, F. Brochart-Wyart, and D. Quéré, Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves (Springer, 2003).
30. S. P. Meeker, R. T. Bonnecaze, and M. Cloitre, “Slip and flow in pastes of soft particles: Direct observation and rheology,” J. Rheol. 48, 1295 (2004).
Article metrics loading...
We consider a heavily loaded, lubricated contact between two elastic bodies at relative speed U, such that there is substantial elastic deformation. As a result of the interplay between hydrodynamics and non-local elasticity, a fluid film develops between the two solids, whose thickness scales as U 3/5. The film profile h is selected by a universal similarity solution along the upstream inlet. Another similarity solution is valid at the outlet, which exhibits a local minimum in the film thickness. The two solutions are connected by a hyperbolic problem underneath the contact. Our asymptotic results for a soft sphere pressed against a hard wall are shown to agree with both experiment and numerical simulations.
Full text loading...
Most read this month