Elastic contact stiffness and contact resistance for the Weierstrass profile

Journal of the Mechanics and Physics of Solids

Volumn 52, Issue 6, 2004, Pages 1247-1265

  Ciavarella, M ^a   Murolo, G ^a   Demelio, G ^a   Barber, J R ^b  

^a POLITECNICO DI BARI   (Italy)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Contact resistance; Contact stiffness; Fractal surfaces; Multiscale models; Weierstrass profile

Indexed keywords

APPROXIMATION THEORY; ELASTICITY; FRACTALS; HARDNESS; ITERATIVE METHODS; MATHEMATICAL MODELS; PLASTICITY; STIFFNESS; SURFACE ROUGHNESS;

CONTACT RESISTANCE; CONTACT STIFFNESS; FRACTAL SURFACES; MULTISCALE MODELS; WEIERSTRASS PROFILE;

COMPOSITE MICROMECHANICS;

EID: 1642602151     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2003.12.002     Document Type: Article

References (22)

1. Archard J.F. Elastic deformation and the laws of friction. Proc. Roy. Soc. London. A 243:1957;190-205.
2. Barber J.R. Bounds on the electrical resistance between contacting elastic rough bodies. Proc. Roy. Soc. London. A 459:2003;53-66.
3. Borodich F.M., Galanov B.A. Self-similar problems of elastic contact for non-convex punches. J. Mech. Phys. Solids. 50:2002;2441-2461.
4. Borodich F.M., Mosolov A.B. Fractal roughness in contact problems. J. Appl. Math. Mech. 56:1992;681-690.
5. Borodich F.M., Onishchenko D.A. Similarity and fractality in the modelling of roughness by a multilevel profile with hierarchical structure. Int. J. Solids Struct. 36:1999;2585-2612.
6. Borri-Brunetto M., Carpinteri A., Chiaia B. Lacunarity of the contact domain between elastic bodies with rough boundaries. Frantziskonis G. Probamat 97, Probabilities and Materials. 1997;Kluwer, Dordrecht.
7. Ciavarella M., Demelio G., Barber J.R., Yong Hoon Jang Linear elastic contact of the Weierstrass profile. Proc. Roy. Soc. London. A 456:2000;387-405.
8. Cooper M.G., Mikic B.B., Yovanovich M.M. Thermal contact conductance. Int. J. Heat Mass Transfer. 12:1969;279-300.
9. Greenwood J.A. Constriction resistance and the area of real contact. Br. J. Appl. Phys. 17:1966;1621-1632.
10. Greenwood J.A., Tripp J.H. The elastic contact of rough spheres. ASME J. Appl. Mech. 34:1967;153.
11. Greenwood J.A., Williamson J.B.P. The contact of nominally flat surfaces. Proc. Roy. Soc. London. A 295:1966;300-319.
12. Greenwood J.A., Wu J.J. Surface roughness and contact. an apology Meccanica. 36:2001;617-630.
13. Holm R. Electrical Contacts Handbook. 1958;Springer, Berlin.
14. Jang, Y.H., Barber, J.R., Effect of contact statistics on electrical contact resistance. J. Appl. Phys. 94, 7215-7221.
15. Johnson, K.L., 1985. Contact Mechanics. Cambridge University Press, Cambridge, p. 407.
16. Lopez J., Hansali G., Le Bossé J.C., Mathia T. Caracterisation fractale de la rugosité tridimensionelle d'une surface. J. Phys. 4:1994;2219-2501.
17. Majumdar A., Bhushan B. Role of fractal geometry in roughness characterization and contact mechanics of surfaces. ASME J. Tribol. 112:1990;205-216.
18. Majumdar A., Bhushan B. Fractal model of elastic-plastic contact between rough surfaces. ASME J. Tribol. 113:1991;1-11.
19. Majumdar, A., Bhushan, B., 1995. Characterization and modeling of surface roughness and contact mechanics. Handbook of Micro/Nano Tribology. CRC Press, New York, pp. 109-165.
20. Majumdar A., Tien C.L. Fractal network model for contact conductance. ASME J. Heat Transfer. 113:1991;516-525.
21. Palasantzas G., De Hosson J.Th.M. Self-affine roughness effects on the contact area between elastic bodies. J. Appl. Phys. 93:2003;898-902.
22. Westergaard H.M. Bearing pressures and cracks. ASME J. Appl. Mech. 6:1939;49-53.