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Tribology Letters

, 62:30 | Cite as

Experimental Investigation of the Correlation Between Adhesion and Friction Forces

  • Abdullah A. Alazemi
  • Arnab Ghosh
  • Farshid SadeghiEmail author
  • Lars-Erik Stacke
Original Paper

Abstract

In this study, the effect of adhesion on evolution of friction during the transition of the contact from pre-sliding into full sliding was investigated. In order to achieve the objectives, a micro optical friction (MOF) apparatus was developed to conduct dry sliding friction experiments and to allow for in situ visualization of the contact area for a sphere-on-flat configuration. MOF apparatus was used to measure friction under various load and speed combinations. The friction results exhibit the commonly observed behavior in friction (i.e., static friction is larger than dynamic friction). The results also demonstrated that the difference between static and dynamic friction forces increased with an increase in the applied normal load. We hypothesize and demonstrate that the difference between the measured maximum friction force commonly referred to as static friction force and the steady state or dynamic friction force divided by the dynamic coefficient of friction is the force of adhesion. The adhesion force results obtained from our experimental investigation corroborate well with the force of adhesion described by the DMT model. The reduction in friction force is attributed to the diminishing of adhesion force during full sliding of the contact.

Keywords

Friction Adhesion Contact area Sphere-on-flat contact 

List of Symbols

\(a_{\text{H}}\)

Hertzian contact radius

\(a_{\text{DMT}}\)

Contact radius predicted by the DMT theory

Aap

Apparent contact area

E

Equivalent Young’s modulus, \(\frac{1}{{E^{'} }} = \frac{1}{2}\left( {\frac{{1 - \nu_{\text{s}}^{2} }}{{E_{\text{s}} }} + \frac{{1 - \nu_{\text{p}}^{2} }}{{E_{\text{p}} }}} \right)\)

Es, Ep

Young’s moduli of the sphere and plane

fd

Dynamic friction force

fmax

Maximum friction force

Fa

Frictional force caused by adhesion

Fad

Force of adhesion

Fd

Frictional force caused by elastic deformation

Ff

Total friction force

Fn

Applied normal force

NA

Numerical aperture of the microscope objective

R

Radius of the sphere

δi

Input tangential displacement amplitude

δo

Output tangential displacement

λ

Wavelength of light

μd

Dynamic coefficient of friction

νs, νp

Poisson’s ratio of the sphere and plane

Notes

Acknowledgments

The authors would like to express their deepest appreciations to the SKF Company for their support of this project.

References

  1. 1.
    Hähner, G., Spencer, N.: Rubbing and scrubbing. Phys. Today 51, 22–27 (1998)CrossRefGoogle Scholar
  2. 2.
    Bhushan, B.: Introduction to tribology, 2nd edn. John Wiley & Sons, New York (2013)CrossRefGoogle Scholar
  3. 3.
    Tabor, D.: Friction—the present state of our understanding. J. Lubr. Technol. 103, 169–179 (1981)Google Scholar
  4. 4.
    Bhushan, B.: Tribology and mechanics of magnetic storage devices, 2nd edn. Springer, New York (1996)CrossRefGoogle Scholar
  5. 5.
    Bowden, F.P., Tabor, D.: The friction and lubrication of solids. Oxford University Press, Oxford (1964)Google Scholar
  6. 6.
    Tabor, D.: Tribology—the last 25 years a personal view. Tribol. Int. 28, 7–10 (1995)CrossRefGoogle Scholar
  7. 7.
    Tambe, N.S., Bhushan, B.: Identifying materials with low friction and adhesion for nanotechnology applications. Appl. Phys. Lett. 86, 061906 (2005)CrossRefGoogle Scholar
  8. 8.
    Heim, L., Blum, J., Preuss, M., Butt, H.: Adhesion and friction forces between spherical micrometer-sized particles. Phys. Rev. Lett. 83, 3328–3331 (1999)CrossRefGoogle Scholar
  9. 9.
    Berger, E.: Friction modeling for dynamic system simulation. Appl. Mech. Rev. 55, 535–577 (2002)CrossRefGoogle Scholar
  10. 10.
    Dieterich, J.H.: Time-dependent friction and the mechanics of stick-slip. Pure Appl. Geophys. 116, 790–806 (1978)CrossRefGoogle Scholar
  11. 11.
    Persson, B.N.J.: Sliding friction: physical principles and applications, 2nd edn. Springer, Berlin (2000)CrossRefGoogle Scholar
  12. 12.
    Williams, J.: Engineering tribology. Oxford University Press, Oxford (1994)Google Scholar
  13. 13.
    Qing, T., Shao, T., Wen, S.: Micro-friction and adhesion measurements for Si wafer and TiB2 thin film. Tsinghua Sci. Technol. 12, 261–268 (2007)CrossRefGoogle Scholar
  14. 14.
    Li, Q., Tullis, T.E., Goldsby, D., Carpick, R.W.: Frictional ageing from interfacial bonding and the origins of rate and state friction. Nature 480, 233–236 (2011)CrossRefGoogle Scholar
  15. 15.
    Johnson, K.L., Kendall, K., Roberts, A.D.: Surface energy and the contact of elastic solids. Proc. R. Soc. Lond. Ser. A 324, 301–313 (1971)CrossRefGoogle Scholar
  16. 16.
    Muller, V.M., Derjaguin, B.V., Toporov, Y.P.: On two methods of calculation of the force of sticking of an elastic sphere to a rigid plane. Colloids Surf. 7, 251–259 (1983)CrossRefGoogle Scholar
  17. 17.
    Adams, G.G.: Stick, partial slip and sliding in the plane strain micro contact of two elastic bodies. R. Soc. Open Sci. 1, 140363 (2014)CrossRefGoogle Scholar
  18. 18.
    Holm, R.: Electric contacts handbook. Springer-Verlag, Berlin (1958)Google Scholar
  19. 19.
    Diaconescu, E., Glovnea, M.: Visualization and measurement of contact area by reflectivity. ASME. J. Tribol. 128, 915–917 (2006)CrossRefGoogle Scholar
  20. 20.
    Ovcharenko, A., Halperin, G., Verberne, G., Etsion, I.: In situ investigation of the contact area in elastic–plastic spherical contact during loading–unloading. Tribol. Lett. 25, 153–160 (2007)CrossRefGoogle Scholar
  21. 21.
    Krick, B.A., Vail, J.R., Persson, B.N., Sawyer, W.G.: Optical in situ micro tribometer for analysis of real contact area for contact mechanics, adhesion, and sliding experiments. Tribol. Lett. 45, 185–194 (2012)CrossRefGoogle Scholar
  22. 22.
    Ovcharenko, A., Halperin, G., Etsion, I.: Experimental study of adhesive static friction in a spherical elastic–plastic contact. J. Tribol. Trans. ASME 130, 021401 (2008)CrossRefGoogle Scholar
  23. 23.
    Ovcharenko, A., Halperin, G., Etsion, I., Varenberg, M.: A novel test rig for in situ and real time optical measurement of the contact area evolution during pre-sliding of a spherical contact. Tribol. Lett. 23, 55–63 (2006)CrossRefGoogle Scholar
  24. 24.
    Mortensen, K.I., Churchman, L.S., Spudich, J.A., Flyvbjerg, H.: Optimized localization analysis for single-molecule tracking and super-resolution microscopy. Nat. Methods 7, 377–381 (2010)CrossRefGoogle Scholar
  25. 25.
    Ramalho, A., Celis, J.-P.: Fretting laboratory tests: analysis of the mechanical response of test rigs. Tribol. Lett. 14, 187–196 (2003)CrossRefGoogle Scholar
  26. 26.
    Leonard, B.D., Sadeghi, F., Shinde, S., Mittelbach, M.: A novel modular fretting wear test rig. Wear 274, 313–325 (2012)CrossRefGoogle Scholar
  27. 27.
    Hertz, H.: On the contact of elastic solids. J. Reine. Angew. Math. 92, 156–171 (1882)Google Scholar
  28. 28.
    Hills, D.A., Nowell, D.: Mechanics of fretting fatigue. Kluwer, Dordrecht (1994)CrossRefGoogle Scholar
  29. 29.
    Tabor, D.: Friction as a dissipative process. In: Singer, I.L., Pollock, H.M. (eds.) Fundamentals of friction: macroscopic and microscopic processes, pp. 3–24. Kluwer, Dordrecht (1992)CrossRefGoogle Scholar
  30. 30.
    Eriten, M., Polycarpou, A., Bergman, L.: Physics-based modeling for partial slip behavior of spherical contacts. Int. J. Solids Struct. 47, 2554–2567 (2010)CrossRefGoogle Scholar
  31. 31.
    Lampaert, V., Al-Bender, F., Swevers, J.: Experimental characterization of dry friction at low velocities on a developed tribometer setup for macroscopic measurements. Tribol. Lett. 16, 95–105 (2004)CrossRefGoogle Scholar
  32. 32.
    Chang, L., Zhang, H.: A mathematical model for frictional elastic–plastic sphere-on-flat contacts at sliding incipient. ASME J. Appl. Mech. 74, 100–106 (2007)CrossRefGoogle Scholar
  33. 33.
    Briscoe, W.H., Klein, J.: Friction and adhesion hysteresis between surfactant monolayers in water. J. Adhes. 83, 705–722 (2007)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Abdullah A. Alazemi
    • 1
  • Arnab Ghosh
    • 1
  • Farshid Sadeghi
    • 1
    Email author
  • Lars-Erik Stacke
    • 2
  1. 1.School of Mechanical EngineeringPurdue UniversityWest LafayetteUSA
  2. 2.SKF Digital Business Technology, Knowledge and Simulation ToolsGöteborgSweden

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