A numerical static friction model for spherical contacts of rough surfaces, influence of load, material, and roughness

Journal of Tribology

Volumn 131, Issue 2, 2009, Pages 1-8

  Wayne Chen, W ^a   Jane Wang, Q ^a  

^a Northwestern University   (United States)

Author keywords

Dissimilar material contact; Roughness; Static friction

Indexed keywords

BOUSSINESQ; CONTACT AREAS; CONTACT MODELS; CONTACT PRESSURES; EXPERIMENTAL DATA; NORMAL LOADS; RELATIVE MOTION; ROUGH SURFACE CONTACTS; ROUGH SURFACES; ROUGHNESS; SHEAR TRACTION; SPHERICAL CONTACT; STATIC FRICTION; STATIC FRICTION COEFFICIENT; STATIC FRICTION MODELS; SURFACE TRACTIONS; TANGENTIAL FORCE; UPPER LIMITS;

DISSIMILAR MATERIALS; EQUATIONS OF MOTION; HARDNESS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; SHEAR STRENGTH; STICTION; SURFACE MEASUREMENT; TAPE DRIVES; TRACTION (FRICTION); TRIBOLOGY;

SURFACES;

EID: 77955100976     PISSN: 07424787     EISSN: 15288897     Source Type: Journal    
DOI: 10.1115/1.3063814     Document Type: Article

References (42)

1. Arnell, R. D., Davies, P. B., Halling, J., and Whomes, T. L., 1991, Tribology, Principles and Design Applications, Springer-Verlag, New York.
2. Bowden, F. P., and Tabor, D., 1950, The Friction and Lubrication of Solids, Oxford University Press, Oxford.
3. Tabor, D., 1981, "Friction-The Present State of Our Understanding," ASME J. Lubr. Technol., 103, pp. 169-179.
4. Paslay, P. R., and Plunkett, R., 1953, "Design of Shirk-Fits," Trans. ASME, 75, pp. 1199-1202.
5. Rabinowicz, E., 1986, "The Tribology of Magnetic Recording Systems-An Overview," Tribology and Mechanics of Magnetic Storage Systems (SP-21), ASLE, Park Ridge, Vol. 3, pp. 1-7.
6. Etsion, I., and Amit, M., 1993, "The Effect of Small Normal Loads on the Static Friction Coefficient for Very Smooth Surfaces," ASME J. Tribol., 115, pp. 406-410.
7. Etsion, I., Levinson, O., Halperin, G., and Varenberg, M., 2005, "Experimental Investigation of the Elastic-Plastic Contact Area and Static Friction of a Sphere on Flat," ASME J. Tribol., 127, pp. 47-50.
8. Ovcharenko, A., Halperin, G., and Etsion, I., 2008, "Experimental Study of Adhesive Static Friction in a Spherical Elastic-Plastic Contact," ASME J. Tribol., 130, pp. 021401.
9. Ovcharenko, A., Halperin, G., and Etsion, I., 2008, "In Situ and Real-Time Optical Investigation of Junction Growth in Spherical Elastic-Plastic Contact," Wear, 264, pp. 1043-1050.
10. Nolle, H., and Richardson, R. S. H., 1974, "Static Friction Coefficients for Mechanical and Structural Joints," Wear, 28, pp. 1-13.
11. Liu, X., Chetwynd, D. G., and Gardner, J. W., 1998, "Surface Characterisation of Electro-Active Thin Polymeric Film Bearing," Int. J. Mach. Tools Manuf., 38, pp. 669-675.
12. Jeng, Y.-R., 1990, "Experimental Study of the Effects of Surface Roughness on Friction," Tribol. Trans., 33(3), pp. 402-410.
13. Xiao, L., Bjorklund, S., and Rosen, B. G., 2007, "The Influence of Surface Roughness and the Contact Pressure Distribution on Friction in Rolling/Sliding Contacts," Tribol. Int., 40, pp. 694-698.
14. Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, London.
15. Nowell, D., Hills, D. A., and Sackfield, A., 1988, "Contact of Dissimilar Elastic Cylinders Under Normal and Tangential Loading," J. Mech. Phys. Solids, 36(1), pp. 59-75.
16. Spence, D. A., 1975, "The Hertz Contact Problem With Finite Friction," J. Elast., 5, pp. 297-319.
17. Brizmer, V., Kligerman, Y., and Etsion, I., 2006, "The Effect of Contact Conditions and Material Properties on the Elasticity Terminus of a Spherical Contact," Int. J. Solids Struct., 43, pp. 5736-5749.
18. Bjorklund, S., and Andersson, S., 1994, "A Numerical Method for Real Elastic Contacts Subjected to Normal and Tangential Loading," Wear, 179, pp. 117-122.
19. Chen, W. W., and Wang, Q., 2008, "A Numerical Model for the Point Contact of Dissimilar Materials Considering Tangential Tractions," Mech. Mater., 40, pp. 936-948.
20. Cattaneo, C., 1938, "Sul Contatto di Due Corpi Elstici: Distribuzione Locale Degli Sforzi," Rend. Accad. Naz. Lincei, 27, pp. 342-348.
21. Cattaneo, C., 1938, "Sul Contatto di Due Corpi Elstici: Distribuzione Locale Degli Sforzi," Rend. Accad. Naz. Lincei, 27, pp. 434-436.
22. Cattaneo, C., 1938, "Sul Contatto di Due Corpi Elstici: Distribuzione Locale Degli Sforzi," Rend. Accad. Naz. Lincei, 27, pp. 474-478.
23. Mindlin, R. D., 1949, "Compliance of Elastic Bodies in Contact," ASME J. Appl. Mech., 16, pp. 259-268.
24. Hamilton, G. M., 1983, "Explicit Equations for the Stresses Beneath a Sliding Spherical Contact," Proc. Inst. Mech. Eng., Part C: Mech. Eng. Sci., 197, pp. 53-59.
25. Munisamy, R. L., and Hills, D. A., 1992, "A Numerical Analysis of an Elastically Dissimilar Three-Dimensional Sliding Contact," Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 206, pp. 203-211.
26. Liu, S. B., and Wang, Q., 2002, "Study Contact Stress Fields Caused by Surface Tractions With a Discrete Convolution and Fast Fourier Transform Algorithm," ASME J. Tribol., 124, pp. 36-45.
27. Boucly, V., Nelias, D., and Green, I., 2007, "Modeling of the Rolling and Sliding Contact Between Two Asperities," ASME J. Tribol., 129, pp. 235-245.
28. Nelias, D., Antaluca, E., Boucly, V., and Cretu, S., 2007, "A Three-Dimensional Semianalytical Model for Elastic-Plastic Sliding Contacts," ASME J. Tribol., 129, pp. 761-771.
29. Brizmer, V., Kligerman, Y., and Etsion, I., 2006, "Elastic-Plastic Spherical Contact Under Combined Normal and Tangential Loading in Full Stick," Tribol. Lett., 25, pp. 61-70.
30. Brizmer, V., Kligerman, Y., and Etsion, I., 2007, "A Model for Junction Growth of a Spherical Contact Under Full Stick Condition," ASME J. Tribol., 129, pp. 783-790.
31. Chen, W W., Wang, Q., Wang, F., Keer, L. M., and Cao, J., 2008, "Three-Dimensional Repeated Elasto-Plastic Point Contacts, Rolling, and Sliding," ASME J. Appl. Mech., 75, p. 021021.
32. Chang, W. R., Etsion, I., and Bogy, D. B., 1988, "Static Friction Coefficient Model for Metallic Rough Surfaces," ASME J. Tribol., 110, pp. 57-63.
33. Tayebi, N., and Polycarpou, A. A., 2004, "Modeling the Effect of Skewness and Kurtosis on the Static Friction Coefficient of Rough Surfaces," Tribol. Int., 37, pp. 491-505.
34. Kogut, L., and Etsion, I., 2003, "A Semi-Analytical Solution for the Sliding Inception of a Spherical Contact," ASME J. Tribol., 125, pp. 499-506.
35. Kogut, L., and Etsion, I., 2004, "A Static Friction Model for Elastic-Plastic Contacting Rough Surfaces," ASME J. Tribol., 126, pp. 34-40.
36. Chang, L., and Zhang, H., 2007, "A Mathematical Model for Frictional Elastic-Plastic Sphere-on-Flat Contacts at Sliding Incipient," ASME J. Appl. Mech., 74, pp. 100-106.
37. Tabor, D., 1959, "Junction Growth in Metallic Friction: The Role of Combined Stresses and Surface Contamination," Proc. R. Soc. London, Ser. A, 251, pp. 378-393.
38. Polonsky, I. A., and Keer, L. M., 1999, "A Numerical Method for Solving Rough Contact Problems Based on Multi-Level Multi-Summation and Conjugate Gradient Techniques," Wear, 231, pp. 206-219.
39. Liu, S. B., Wang, Q., and Liu, G., 2000, "A Versatile Method of Discrete Convolution and FFT (DC-FFT) for Contact Analyses," Wear, 243, pp. 101-111.
40. Jackson, R. L., and Green, I., 2005, "A Finite Element Study of Elasto-Plastic Hemispherical Contact Against a Rigid Flat," ASME J. Tribol., 127, pp. 343-354.
41. Hu, Y Z., and Tonder, K., 1992, "Simulation of 3-D Random Rough Surface by 2-D Digital Filter and Fourier Analysis," Int. J. Mach. Tools Manuf., 32, pp. 83-90.
42. Munisamy, R. L., Hills, D. A., and Nowell, D., 1994, "Static Axisymmetric Hertzian Contacts Subject to Shearing Forces," ASME J. Appl. Mech., 61, pp. 278-283.