Three-dimensional contact analysis of elastic-plastic layered media with fractal surface topographies

Journal of Tribology

Volumn 123, Issue 3, 2001, Pages 632-640

  Komvopoulos, K ^a   Ye, N ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELASTOPLASTICITY; FINITE ELEMENT METHOD; FRACTALS; IMAGING TECHNIQUES; MATHEMATICAL MODELS; PLASTIC DEFORMATION; PRESSURE EFFECTS; SPHERES;

CONTACT MODEL;

SURFACE ROUGHNESS;

CONTACT LUBRICATION; DISK DRIVE; SURFACE ROUGHNESS; TOPOGRAPHY;

EID: 0035394357     PISSN: 07424787     EISSN: 15288897     Source Type: Journal    
DOI: 10.1115/1.1327583     Document Type: Article

References (33)

1. Aleksandrov, V. M., Babeshko, V. A., and Kucherov, V. A., 1966, “Contact Problems for an Elastic Layer of Slight Thickness,” J. Appl. Math. Mech., 30, pp. 124-142.
2. Alblas, J. B., and Kuipers, M., 1970, “On the Two Dimensional Problem of a Cylindrical Stamp Pressed into a Thin Elastic Layer,” Acta Mech., 9, pp. 292-311.
3. Pao, Y. C., Wu, T.-S., and Chiu, Y. P., 1971, “Bounds on the Maximum Contact Stress of an Indented Elastic Layer,” ASME J. Appl. Mech., 38, pp. 608-614.
4. Ling, F. F., and Lai, W. M., 1980, “Surface Mechanics of Layered Media,” Solid Contact and Lubrication, Cheng, H. S., and Keer, L. M., eds., AMD-Vol. 39, ASME, New York, pp. 27-50.
5. Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.
6. Mesarovic, S. Dj., and Fleck, N. A., 1999, “Spherical Indentation of Elastic-Plastic Solids,” Proc. R. Soc. London, Ser. A, 455, pp. 2707-2728.
7. Kennedy, F. E., and Ling, F. F., 1974, “Elasto-Plastic Indentation of a Layered Medium,” ASME J. Eng. Mater. Technol., 96, pp. 97-103.
8. Van der Zwaag, S., and Field, J. E., 1982, “The Effect of Thin Hard Coatings on the Hertzian Stress Field,” Philos. Mag. A, 46, pp. 133-150.
9. Komvopoulos, K., 1988, “Finite Element Analysis of a Layered Elastic Solid in Normal Contact With a Rigid Surface,” ASME J. Tribol., 110, pp. 477-485.
10. Komvopoulos, K., 1989, “Elastic-Plastic Finite Element Analysis of Indented Layered Media,” ASME J. Tribol., 111, pp. 430-439.
11. Tian, H., and Saka, N., 1991, “Finite Element Analysis of an Elastic-Plastic Two-Layer Half-Space: Normal Contact,” Wear, 148, pp. 47-68.
12. Kral, E. R., and Komvopoulos, K., 1996, “Three-Dimensional Finite Element Analysis of Surface Deformation and Stresses in an Elastic-Plastic Layered Medium Subjected to Indentation and Sliding Contact Loading,” ASME J. Appl. Mech., 63, pp. 365-375.
13. Greenwood, J. A., and Williamson, J. B. P., 1966, “Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, Ser. A, 295, pp. 300-319.
14. Larsson, J., Biwa, S., and Storakers, B., 1999, “Inelastic Flattening of Rough Surfaces,” Mech. Mater., 31, pp. 29-41.
15. Mandelbrot, B. B., 1983, The Fractal Geometry of Nature, Freeman, New York.
16. Borodich, F. M., and Onishchenko, D. A., 1999, “Similarity and Fractality in the Modelling of Roughness by a Multilevel Profile with Hierarchical Structure,” Int. J. Solids Struct., 36, pp. 2585-2612.
17. Majumdar, A., and Tien, C. L., 1990, “Fractal Characterization and Simulation of Rough Surfaces,” Wear, 136, pp. 313-327.
18. Berry, M. V., and Lewis, Z. V., 1980, “On the Weierstrass-Mandelbrot Fractal Function,” Proc. R. Soc. London, Ser. A, 370, pp. 459-484.
19. Majumdar, A., and Bhushan, B., 1991, “Fractal Model of Elastic-Plastic Contact Between Rough Surfaces,” ASME J. Tribol., 113, pp. 1-11.
20. Blackmore, D., and Zhou, J. G., 1998, “Fractal Analysis of Height Distributions of Anisotropic Rough Surfaces,” Fractals, 6, pp. 43-58.
21. Blackmore, D., and Zhou, G., 1998, “A New Fractal Model for Anisotropic Surfaces,” Int. J. Mach. Tools Manuf., 38, pp. 551-557.
22. Ciavarella, M., Demelio, G., Barber, J. R., and Jang, Y. H., 2000, “Linear Elastic Contact of the Weierstrass Profile,” Proc. R. Soc. London, Ser. A, 456, pp. 387-405.
23. Wang, S., and Komvopoulos, K., 1994, “A Fractal Theory of the Interfacial Temperature Distribution in the Slow Sliding Regime: Part I-Elastic Contact and Heat Transfer Analysis,” ASME J. Tribol., 116, pp. 812-823.
24. Wang, S., and Komvopoulos, K., 1994, “A Fractal Theory of the Interfacial Temperature Distribution in the Slow Sliding Regime: Part II-Multiple Domains, Elastoplastic Contacts and Applications,” ASME J. Tribol., 116, pp. 824-832.
25. Wang, S., and Komvopoulos, K., 1995, “A Fractal Theory of the Temperature Distribution at Elastic Contacts of Fast Sliding Surfaces,” ASME J. Tribol., 117, pp. 203-215.
26. Yan, W., and Komvopoulos, K., 1998, “Contact Analysis of Elastic-Plastic Fractal Surfaces,” J. Appl. Phys., 84, pp. 3617-3624.
27. Ausloos, M., and Berman, D. H., 1985, “A Multivariable WeierstrassMandelbrot Function,” Proc. R. Soc. London, Ser. A, 400, pp. 331-350.
28. Russ, J. C., 1994, Fractal Surfaces, Plenum Press, New York, p. 168.
29. Tabor, D., 1970, “The Hardness of Solids,” Rev. Phys. Technol., 1, pp. 145-179.
30. Bhattacharya, A. K., and Nix, W. D., 1988, “Analysis of Elastic and Plastic Deformation Associated with Indentation Testing of Thin Films on Substrates,” Int. J. Solids Struct., 24, pp. 1287-1298.
31. King, R. B., 1987, “Elastic Analysis of Some Punch Problems for a Layered Medium,” Int. J. Solids Struct., 23, pp. 1657-1664.
32. Komvopoulos, K., 2000, “Head-Disk Interface Contact Mechanics for Ultrahigh Density Magnetic Recording,” Wear, 238, pp. 1-11.
33. Anguiano, E., Pancorbo, M., and Aguilar, M., 1994, Fractals in the Natural and Applied Sciences, Novak, M. M., ed., Elsevier Science, New York, pp. 37-46.