Revisiting the Cattaneo-Mindlin concept of interfacial slip in tangentially loaded compliant bodies

Journal of Tribology

Volumn 132, Issue 2, 2010, Pages 1-9

  Etsion, Izhak ^a  

^a ASME   (Israel)

Author keywords

Contact condition; Junction growth; Presliding; Spherical contact; Static friction

Indexed keywords

ALTERNATIVE APPROACH; CONTACT CONDITIONS; EXPERIMENTAL VERIFICATION; FAILURE CRITERIA; INTERFACIAL SLIP; MINDLIN; NUMERICAL TECHNIQUES; PHYSICAL ASSUMPTIONS; PLASTIC YIELD; SIMPLIFYING ASSUMPTIONS; SPHERICAL CONTACT; STATIC FRICTION; THEORETICAL MODELS;

FAILURE ANALYSIS; MODELS;

STICTION;

EID: 77955286521     PISSN: 07424787     EISSN: 15288897     Source Type: Journal    
DOI: 10.1115/1.4001238     Document Type: Article

References (49)

1. Cattaneo, C., 1938, "Sul Contato di Due Corpo Elastici," Atti Accad. Naz. Lincei, Cl. Sci. Fis., Mat. Nat., Rend., 27, pp. 342-348, 434-436, 474-478.
2. Mindlin, R. D., 1949, "Compliance of Elastic Bodies in Contact," ASME Trans. J. Appl. Mech., 16, pp. 259-268.
3. Mindlin, R. D., and Deresiewicz, H., 1953, "Elastic Spheres in Contact Under Varying Oblique Forces," ASME Trans. J. Appl. Mech., 20, pp. 327-344.
4. McFarlane, J. S., and Tabor, D., 1950, "Relation Between Friction and Adhesion," Proc. R. Soc. London, Ser. A, 202, pp. 244-253.
5. Parker, R., and Hatch, D., 1950, "The Static Coefficient of Friction and the Area of Contact," Proc. Phys. Soc. London, Sect. B, 63, pp. 185-197.
6. 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.
7. Bowden, F. P., and Rowe, G. W., 1956, "The Adhesion of Clean Metals," Proc. R. Soc. London, Ser. A, 233, pp. 429-442.
8. Courtney-Pratt, J. S., and Eisner, E., 1957, "The Effect of a Tangential Force on the Contact of Metallic Bodies," Proc. R. Soc. London, Ser. A, 238, pp. 529-550.
9. Constantinou, C. P., and Chaudhri, M. M., 1989, "Optical Observations of "Junction Growth" in Asperities of Copper, Aluminium, PTFE and Nylon Under Combined Normal and Tangential Stresses," J. Mater. Sci., 24, pp. 4279-4292.
10. 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.
11. Salib, J., Kligerman, Y., and Etsion, I., 2008, "A Model for Potential Adhesive Wear Particle at Sliding Inception of a Spherical Contact," Tribol. Lett., 30, pp. 225-233.
12. 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.
13. Bowden, F. P., and Leben, L., 1939, "The Nature of Sliding and the Analysis of Friction," Proc. R. Soc. London, Ser. A, 169, pp. 371-391.
14. Bowden, F. P., and Tabor, D., 1939, "The Area of Contact Between Stationary and Between Moving Surfaces," Proc. R. Soc. London, Ser. A, 169, pp. 391-413.
15. Moore, A. J. W., 1948, "Deformation of Metals in Static and in Sliding Contact," Proc. R. Soc. London, Ser. A, 195, pp. 231-244.
16. Rabinowicz, E., 1951, "The Nature of the Static and Kinetic Coefficients of Friction," J. Appl. Phys., 22, pp. 1373-1379.
17. Burwell, J. T., and Rabinowicz, E., 1953, "The Nature of the Coefficient of Friction," J. Appl. Phys., 24, pp. 136-139.
18. Rabinowicz, E., 1965, Friction and Wear of Materials, Wiley, New York.
19. Tabor, D., 1981, "Friction-The Present State of Our Understanding," ASME J. Lubr. Technol., 103, pp. 169-179.
20. Rigney, D. A., and Hirth, J. P., 1979, "Plastic Deformation and Sliding Friction of Metals," Wear, 53, pp. 345-370.
21. Chang, W. R., Etsion, I., and Bogy, D. B., 1987, "An Elastic Plastic Model for the Contact of Rough Surfaces," Trans. ASME, J. Tribol., 109, pp. 257-263.
22. Chang, W. R., Etsion, I., and Bogy, D. B., 1988, "Adhesion Model for Metallic Rough Surfaces," Trans. ASME, J. Tribol., 110, pp. 50-56.
23. Chang, W. R., Etsion, I., and Bogy, D. B., 1988, "Static Friction Coefficient Model for Metallic Rough Surfaces," Trans. ASME, J. Tribol., 110, pp. 57-63.
24. Kogut, L., and Etsion, I., 2003, "A Semi-Analytical Solution for the Sliding Inception of a Spherical Contact," Trans. ASME, J. Tribol., 125, pp. 499-506.
25. Brizmer, V., Kligerman, Y., and Etsion, I., 2007, "Elastic-Plastic Spherical Contact Under Combined Normal and Tangential Loading," Tribol. Lett., 25, pp. 61-70.
26. Ovcharenko, A., Halperin, G., Etsion, I., and Varenberg, M., 2006, "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, pp. 55-63.
27. Ovcharenko, A., Halperin, G., and Etsion, I., 2008, "Experimental Study of Adhesive Static Friction in a Spherical Elastic-Plastic Contact," Trans. ASME, J. Tribol., 130, p. 021401.
28. Ovcharenko, A., and Etsion, I., 2009, "Junction Growth and Energy Dissipation at the Very Early Stage of Elastic-Plastic Spherical Contact Fretting," Trans. ASME, J. Tribol., 131, p. 031602.
29. Brizmer, V., Kligerman, Y., and Etsion, I., 2007, "A Model for Junction Growth of a Spherical Contact Under Full Stick Condition," Trans. ASME, J. Tribol., 129, pp. 783-790.
30. Kayaba, T., and Kato, K., 1978, "Experimental Analysis of Junction Growth With a Junction Model," Wear, 51, pp. 105-116.
31. Cohen, D., Kligerman, Y., and Etsion, I., 2009, "The Effect of Surface Roughness on Static Friction and Junction Growth of an Elastic-Plastic Spherical Contact," Trans. ASME, J. Tribol., 131, p. 021404.
32. Johnson, K. L., 1955, "Surface Interaction Between Elastically Loaded Bodies Under Tangential Forces," Proc. R. Soc. London, Ser. A, 230, pp. 531-548.
33. Odfalk, M., and Vingsbo, O., 1990, "Influence of Normal Force and Frequency in Fretting," STLE Tribol. Trans., 33, pp. 604-610.
34. Fouvry, S., Kapsa, Ph., and Vincent, L., 1995, "Analysis of Sliding Behaviour for Fretting Loadings: Determination of Transition Criteria," Wear, 185, pp. 35-46.
35. Mohrbacher, H., Celis, J. P., and Roos, J. R., 1995, "Laboratory Testing of Displacement and Load Induced Fretting," Tribol. Int., 28, pp. 269-278.
36. Fouvry, S., Kaspa, P., Zahouani, H., and Vincent, L., 1997, "Wear Analysis in Fretting of Hard Coating Through a Dissipated Energy Concept," Wear, 203-204, pp. 393-403.
37. Filippi, S., Akay, A., and Gola, M. M., 2004, "Measurement of Tangential Contact Hysteresis During Microslip," Trans. ASME, J. Tribol., 126, pp. 482-489.
38. Varenberg, M., Etsion, I., and Halperin, G., 2005, "Nanoscale Fretting Wear Study by Scanning Probe Microscopy," Tribol. Lett., 18, pp. 493-498.
39. Barquins, M., 1993, "Friction and Wear of Rubber-Like Materials," Wear, 160, pp. 1-11.
40. Galliano, A., Bistac, S., and Schultz, J., 2003, "Adhesion and Friction of PDMS Networks: Molecular Weight Effects," J. Colloid Interface Sci., 265, pp. 372-379.
41. Tyler, J. C., Burton, R. A., and Ku, P. M., 1963, "Contact Fatigue Under Oscillatory Normal Load," ASLE Trans., 6, pp. 255-269.
42. Nieminen, J. A., Sutton, A. P., and Pethica, J. B., 1992, "Static Junction Growth During Frictional Sliding of Metals," Acta Metall. Mater., 40, pp. 2503-2509.
43. Nieminen, J. A., Sutton, A. P., Pethica, J. B., and Kasaki, K., 1992, "Mechanism of Lubrication by a Thin Solid Film on a Metal Surface," Modell. Simul. Mater. Sci. Eng., 1, pp. 83-90.
44. Lin, J. F., Fang, T. H., Wu, C. D., and Houng, K. H., 2007, "Contact and Frictional Behavior of Rough Surfaces Using Molecular Dynamics Combined With Fractal Theory," Comput. Mater. Sci., 40, pp. 480-484.
45. Nowell, D., Hills, D. A., and Sackfield, A., 1988, "Contact of Dissimilar Elastic Cylinders Under Normal and Tangential Loading," J. Mech. Phys. Solids, 36, pp. 59-75.
46. Bjorklund, S., and Andersson, S., 1994, "A Numerical Method for Real Elastic Contacts Subjected to Normal and Tangential Loading," Wear, 179, pp. 117-122.
47. Li, J., and Berger, E. J., 2003, "A Semi-Analytical Approach to Three-Dimensional Normal Contact Problems With Friction," Comput. Mech., 30, pp. 310-322.
48. Liu, C. H., Lin, Y.-H., and Lin, P.-H., 2007, "A Numerical Analysis of Partial Slip Problems Under Hertzian Contacts," Meccanica, 42, pp. 197-206.
49. 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.