Adhesive contact of cylindrical lens and a flat sheet

Journal of Applied Physics

Volumn 80, Issue 1, 1996, Pages 30-37

  Chaudhury, Manoj K ^a   Weaver, Timothy ^a   Hui, C Y ^b   Kramer, E J ^b  

^a Lehigh University   (United States)

^b Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003024780     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.362819     Document Type: Article

References (46)

1. K. L. Johnson, K. Kendall, and A. D. Roberts, Proc. R. Soc. London, Ser. A 324, 301 (1971).
2. K. Kendall, J. Phys. D: Appl. Phys. 5, 1782 (1973); 8, 1449 (1973); Proc. R. Soc. London, Ser. A 341, 409 (1975); 344, 287 (1975); J. Adhes. 7, 137 (1975); J. Mater. Sci. 11, 638 (1976); 10, 1011 (1975).
3. K. Kendall, J. Phys. D: Appl. Phys. 5, 1782 (1973); 8, 1449 (1973); Proc. R. Soc. London, Ser. A 341, 409 (1975); 344, 287 (1975); J. Adhes. 7, 137 (1975); J. Mater. Sci. 11, 638 (1976); 10, 1011 (1975).
4. K. Kendall, J. Phys. D: Appl. Phys. 5, 1782 (1973); 8, 1449 (1973); Proc. R. Soc. London, Ser. A 341, 409 (1975); 344, 287 (1975); J. Adhes. 7, 137 (1975); J. Mater. Sci. 11, 638 (1976); 10, 1011 (1975).
5. K. Kendall, J. Phys. D: Appl. Phys. 5, 1782 (1973); 8, 1449 (1973); Proc. R. Soc. London, Ser. A 341, 409 (1975); 344, 287 (1975); J. Adhes. 7, 137 (1975); J. Mater. Sci. 11, 638 (1976); 10, 1011 (1975).
6. K. Kendall, J. Phys. D: Appl. Phys. 5, 1782 (1973); 8, 1449 (1973); Proc. R. Soc. London, Ser. A 341, 409 (1975); 344, 287 (1975); J. Adhes. 7, 137 (1975); J. Mater. Sci. 11, 638 (1976); 10, 1011 (1975).
7. K. Kendall, J. Phys. D: Appl. Phys. 5, 1782 (1973); 8, 1449 (1973); Proc. R. Soc. London, Ser. A 341, 409 (1975); 344, 287 (1975); J. Adhes. 7, 137 (1975); J. Mater. Sci. 11, 638 (1976); 10, 1011 (1975).
8. K. Kendall, J. Phys. D: Appl. Phys. 5, 1782 (1973); 8, 1449 (1973); Proc. R. Soc. London, Ser. A 341, 409 (1975); 344, 287 (1975); J. Adhes. 7, 137 (1975); J. Mater. Sci. 11, 638 (1976); 10, 1011 (1975).
9. A. D. Roberts and A. B. Othman, Wear 42, 119 (1977).
10. D. Tabor, J. Colloid Interface Sci. 58, 2 (1977).
11. A. E. Lee, J. Colloid Interface Sci. 64, 577 (1978).
12. R. G. Horn, J. N. Israelachvili and F. Pribac, J. Colloid Interface Sci. 115, 480 (1987).
13. M. K. Chaudhury and G. M. Whitesides, Langmuir 7, 1013 (1991).
14. M. K. Chaudhury and M. J. Owen, J. Phys. Chem. 97, 5722 (1993).
15. M. K. Chaudhury and G. M. Whitesides, Science 255, 1230 (1992).
16. M. K. Chaudhury, J. Adhes. Sci. Technol. 7, 669 (1993).
17. H. Haidara, M. K. Chaudhury, and M. J. Owen, J. Phys. Chem. (in press).
18. V. Mangipudi, M. Tirrell, and A. V. Pocius, J. Adhes. Sci. Technol. 8, 1251 (1994); W. W. Merrill, A. V. Pocius, B. Thakkar, and M. Tirrell, Langmuir 7, 1975 (1991).
19. V. Mangipudi, M. Tirrell, and A. V. Pocius, J. Adhes. Sci. Technol. 8, 1251 (1994); W. W. Merrill, A. V. Pocius, B. Thakkar, and M. Tirrell, Langmuir 7, 1975 (1991).
20. M. Deruelle, L. Leger, and M. Tirrell, Macromolecules 28, 1995 (1995).
21. K. Kendall, J. Adhes. 5, 179 (1973).
22. Y. L. Chen, C. A. Helm, and J. N. Israelachvili, J. Phys. Chem. 95, 10737 (1991).
23. P. Silberzan, S. Perutz, E. J. Kramer, and M. K. Chaudhury, Langmuir 10, 2466 (1994).
24. M. E. R. Shanahan and J. Michel, Int. J. Adhes. 11, 170 (1991); see also M. F. Vallat, P. Ziegler, P. Vondracek, and J. Schultz, J. Adhes. 35, 95 (1991).
25. M. E. R. Shanahan and J. Michel, Int. J. Adhes. 11, 170 (1991); see also M. F. Vallat, P. Ziegler, P. Vondracek, and J. Schultz, J. Adhes. 35, 95 (1991).
26. D. S. Rimai, L. P. DeMejo, and R. C. Bowen, J. Appl. Phys. 68, 6234 (1990); R. C. Bowen, D. S. Rimai, and L. P. DeMejo, J. Adhes. Sci. Technol. 3, 623 (1989); L. P. DeMejo, D. S. Rimai, and R. C. Bowen, ibid. 2, 331 (1988); 5, 959 (1991).
27. D. S. Rimai, L. P. DeMejo, and R. C. Bowen, J. Appl. Phys. 68, 6234 (1990); R. C. Bowen, D. S. Rimai, and L. P. DeMejo, J. Adhes. Sci. Technol. 3, 623 (1989); L. P. DeMejo, D. S. Rimai, and R. C. Bowen, ibid. 2, 331 (1988); 5, 959 (1991).
28. D. S. Rimai, L. P. DeMejo, and R. C. Bowen, J. Appl. Phys. 68, 6234 (1990); R. C. Bowen, D. S. Rimai, and L. P. DeMejo, J. Adhes. Sci. Technol. 3, 623 (1989); L. P. DeMejo, D. S. Rimai, and R. C. Bowen, ibid. 2, 331 (1988); 5, 959 (1991).
29. D. S. Rimai, L. P. DeMejo, and R. C. Bowen, J. Appl. Phys. 68, 6234 (1990); R. C. Bowen, D. S. Rimai, and L. P. DeMejo, J. Adhes. Sci. Technol. 3, 623 (1989); L. P. DeMejo, D. S. Rimai, and R. C. Bowen, ibid. 2, 331 (1988); 5, 959 (1991).
30. K. Kendall, Wear 33, 351 (1975).
31. M. K. Chaudhury and M. J. Owen, Langmuir 9, 29 (1993).
32. K. L. Johnson, Contact Mechanics (Cambridge University Press, Cambridge, 1985).
33. D. Maugis and M. Barquins, J. Phys. Lett. 42, L95 (1981).
34. K. Kendall, J. Phys. D: Appl. Phys. 4, 1186 (1971).
35. A. D. Roberts, Rubber Chem. Technol. 52, 23 (1979).
36. J. A. Greenwood and K. L. Johnson, Philos. Mag. 43, 697 (1981); D. Maugis and M. Barquins, J. Appl. Phys. D 11, 1989 (1978).
37. J. A. Greenwood and K. L. Johnson, Philos. Mag. 43, 697 (1981); D. Maugis and M. Barquins, J. Appl. Phys. D 11, 1989 (1978).
38. D. Maugis and M. Barquins, Adhesion and Adsorption of Polymers: Polymer Science and Technology, edited by L. H. Lee (Plenum, New York, 1980), Vol. 12A, p. 203; M. Barquins and R. Courtel, Wear 32, 133 (1975).
39. D. Maugis and M. Barquins, Adhesion and Adsorption of Polymers: Polymer Science and Technology, edited by L. H. Lee (Plenum, New York, 1980), Vol. 12A, p. 203; M. Barquins and R. Courtel, Wear 32, 133 (1975).
40. M. J. Barquins, Adhesion 26, 1 (1988).
41. In a recent personal communication with K. L. Johnson (1994) M.K.C. learned that Professor Johnson independently derived Eq. (8) to analyze some data of the rolling friction measurements.
42. A. G. Martollock, International Conference on Elastoplastic Technology, Wayne State University, 24 March, 1966 (unpublished); W. J. Bobear, Rubber Age 84, 448 (1958); A. H. Horner, Division of Polymer Chemistry (American Chemical Society, Boston, 1959).
43. A. G. Martollock, International Conference on Elastoplastic Technology, Wayne State University, 24 March, 1966 (unpublished); W. J. Bobear, Rubber Age 84, 448 (1958); A. H. Horner, Division of Polymer Chemistry (American Chemical Society, Boston, 1959).
44. A. G. Martollock, International Conference on Elastoplastic Technology, Wayne State University, 24 March, 1966 (unpublished); W. J. Bobear, Rubber Age 84, 448 (1958); A. H. Horner, Division of Polymer Chemistry (American Chemical Society, Boston, 1959).
45. -1.
46. When we performed similar experiments with spherical lenses (R = 1.2 mm), the W vs σ(x) plots lay slightly lower than the plots shown in Fig. 6. We believe the reason for this discrepancy is due to a combined effect of stress and contact time, which are different in these cases because of the differences in the radii of curvatures of the spherical lens and the cylinders (2 mm) used. However, when the sphere was allowed to make contact with the cylinder for a slightly longer period of time (∼10 min), the discrepancy became small.