The electrical/thermal conductance of rough surfaces - The Weierstrass-Archard multiscale model

International Journal of Solids and Structures

Volumn 41, Issue 15, 2004, Pages 4107-4120

  Ciavarella, M ^a   Murolo, G ^a   Demelio, G ^a  

^a POLITECNICO DI BARI   (Italy)

Author keywords

Electrical contact; Fractals; Rough surfaces

Indexed keywords

STIFFNESS; THERMAL CONDUCTIVITY; THERMAL EFFECTS;

ELECTRICAL CONDUCTANCE; WEIERSTRASS SERIES;

SURFACE ROUGHNESS;

ELECTRICAL CONDUCTIVITY; ROUGHNESS;

EID: 2542534551     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.02.048     Document Type: Article

References (32)

1. Archard J.F. Elastic deformation and the laws of friction Proc. R. Soc. London A 243 1957 190-205
2. Barber J.R. Bounds on the electrical resistance between contacting elastic rough bodies Proc. R. Soc. (London) A 459 2003 53-66
3. Berry M.V. Lewis Z.V. On the Weierstrass-Mandelbrot fractal function Proc. R. Soc. Lond. A 370 1980 459-484
4. Borri-Brunetto M. Carpinteri A. Chiaia B. Lacunarity of the contact domain between elastic bodies with rough boundaries Frantziskonis G. Probamat-21st Century: Probabilities and Materials 1998 45-64 Kluwer Dordrecht
5. Bowden F.P. Tabor D. Friction and Lubrication of Solids 1950 Clarendon Press Oxford, UK
6. Bhushan B. Majumdar A. Elastic plastic model for bifractal surfaces Wear 153 1 1992 53-64
7. Ciavarella M. Demelio G. Barber J.R. Jang Y.H. Linear elastic contact of the Weierstrass profile Proc. R. Soc. (London) A 456 2000 387-405
8. Ciavarella M. Demelio G. Elastic multiscale contact of rough surfaces: Archard's model revisited and comparisons with modern fractal models J. Appl. Mech. Trans. ASME 68 2001 496-498
9. Cooper M.G. Mikic B.B. Yovanovich M.M. Thermal contact conductance Int. J. Heat Mass Transfer 12 1969 279-300
10. Greenwood J.A. Constriction resistance and the area of real contact Br. J. Appl. Phys. 17 1966 1621-1632
11. Greenwood J.A. A unified theory of surface roughness Proc. R. Soc. London A 393 1984 133-157
12. Greenwood J.A. Williamson J.B.P. The contact of nominally flat surfaces Proc. R. Soc. London A 295 1966 300-319
13. Greenwood J.A. Wu J.J. Surface roughness and contact: an apology Meccanica 36 6 2001 617-630
14. Holm R. Electrical Contacts Handbook 1958 Springer-Verlag Berlin
15. Jang Y.H. Barber J.R. Hu S.J. Electrical conductance between dissimilar materials with temperature-dependent properties J. Phys. D: Appl. Phys. 31 1998 3197-3205
16. Johnson K.L. Contact Mechanics 1985 Cambridge University Press Cambridge
17. Lambert M.A. Fletcher L.S. Review of models for thermal contact conductance of metals J. Thermophys. Heat Transfer 11 2 1997 129-140
18. Lopez J. Hansali G. Le Bossé J.C. Mathia T. Caracterisation fractale de la rugosité tridimensionelle d'une surface J. Phys. III (France) 4 1994 2219-2501
19. Majumdar A. Bhushan B. Fractal model of elastic-plastic contact between rough surfaces ASME J. Tribology 113 1991 1-11
20. Majumdar A. Bhushan B. Characterization and modeling of surface roughness and contact mechanics Handbook of Micro/Nano Tribology 1995 109-165 CRC Press New York
21. Majumdar A. Tien C.L. Fractal network model for contact conductance ASME J. Heat Transfer 113 1991 516-525
22. Mandelbrot B.B. The Fractal Geometry of Nature 1982 Freeman San Francisco
23. Mikic B.B. Thermal contact conductance; theoretical considerations Int. J. Heat Mass Transfer 17 Feb 1974 205-214
24. Nayak P.R. Random process model of rough surfaces ASME J. Lubrication Technol. 93 1971 398-407
25. Russ J.C. Fractal Surfaces 1994 Plenum Press New York
26. Sayles R.S. Thomas T.R. Surface topography as a nonstationary random process Nature 271 1978 431-434
27. Tien C.L. A Correlation for Thermal Contact Conductance of Nominally Flat Surfaces in Vacuum Proceedings of the 7th Thermal conductivity Conference 1968 755-759 US Bureau of Standards
28. Weierstrass K. Mathematische Werke 1895 Mayer and Muller Berlin
29. Westergaard H.M. Bearing pressures and cracks ASME J. Appl. Mech. 6 1939 49-53
30. Whitehouse D.J. Phillips M.J. Discrete properties of random surfaces Philos. Trans. R. Soc. London, A 290 1978 267-298
31. Yan W. Komvopoulos K. Contact analysis of elastic-plastic fractal surfaces J. Appl. Phys. 84 7 1998 3617-3624
32. Yovanovich, M.M., 1987. Theory and applications of constriction and spreading concepts for microelectronic thermal management. Keynote Address, In: Proceedings of the International Symposium on Cooling Technology for Electronic Equipment, Honolulu, HI