Derivation and analysis of a generalized standard model for contact, friction and wear

International Journal of Solids and Structures

Volumn 33, Issue 13, 1996, Pages 1817-1836

  Strömberg, Niclas ^a   Johansson, Lars ^a   Klarbring, Anders ^a  

^a LINKÖPING INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

CONTACT; FRICTION; MODELLING-MATHEMATICAL; WEAR;

FREE ENERGY; FRICTION; INTERFACES (MATERIALS); OSCILLATIONS; PROBLEM SOLVING; SURFACE PHENOMENA; THERMAL EFFECTS; THERMODYNAMICS; WEAR OF MATERIALS;

ARCHARD LAW OF WEAR; COULOMB LAW OF FRICTION; FRETTING; HEAT GENERATION; MECHANICAL CONTACT;

MATHEMATICAL MODELS;

EID: 0030131208     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00140-9     Document Type: Article

References (38)

1. Archard, J. F. (1953). Contact and rubbing of flat surfaces. J. Appl. Phys. 24, 981-988.
2. Burwell, J. T. (1958). Survey of possible wear mechanisms. Wear 1, 119-141.
3. Cheng, J.-H. and Kikuchi, N. (1985). An incremental constitutive relation of unilateral contact friction for large deformation analysis. J. Appl. Mech. 52, 639-648.
4. Coleman, B. D. and Noll, W. (1963). The thermodynamics of elastic materials with heat conduction and viscosity. Arch. Rat. Mech. Anal. 13, 167-178.
5. Curnier, A. (1984). A theory of friction. Int. J. Solids Structures 20, 637-647.
6. Frémond, M. (1987). Adhérence des solides. J. Mécanique Théorique Appliquée 6, 383-407.
7. Frémond, M. (1988). Contact with adhesion. In Topics in Nonsmooth Mechanics (Edited by J. J. Moreau, P. D. Panagiotopoulos and G. Strang), pp. 177-221. Birkhäuser, Bassel.
8. Fried, E. (1969). Thermal conduction contribution to heat transfer at contacts. In Thermal Conductivity (Edited by R. P. Tye), Vol. 2, pp. 253-274. Academic Press, London.
9. Germain, P. (1973). The method of virtual power in continuum mechanics. Part 2: Microstructure. SIAM J. Appl. Math. 25, 556-575.
10. Germain, P., Nguyen Quoc Son and Suquet, P. (1983). Continuum thermodynamics. J. Appl. Mech. 50, 1010-1020.
11. Halphen, B. and Nguyen Quoc Son (1975). Sur les matériaux standard généralisés. J. Mécanique 14, 39-62.
12. He, Q.-C. and Curnier, A. (1993). Anisotropic dry friction between two orthotropic surfaces undergoing large displacements. Eur. J. Mech., A/Solids 12, 631-666.
13. Hiriart-Urruty, J.-B. and Lemaréchal, C. (1993). Convex Analysis and Minimization Algorithms, Vols I and II. Springer, Berlin Heidelberg.
14. Holm, R. (1946). Electric Contacts. Almqvist and Wiksell, Stockholm.
15. Jacobs, O., Friedrich, K., Marom, G., Schulte, K. and Wagner, H. D. (1990). Fretting performance of glass-, carbon-, and aramid-fibre/epoxy and PEEK composites. Wear 135, 207-216.
16. Johansson, L. and Klarbring, A. (1993). Thermoelastic frictional contact problems: modelling, finite element approximation and numerical realization. Comp. Meth. Appl. Mech. Engng 105, 181-210.
17. Klarbring, A. (1990a). Derivation and analysis of rate boundary-value problems of frictional contact. Eur. J. Mech. 9, 53-85.
18. Klarbring, A. (1990b). Examples of non-uniqueness and non-existence of solutions to quasistatic contact problems with friction. Ingenieur-Archiv 60, 529-541.
19. Lemaitre, J. and Chaboche, J.-L. (1990). Mechanics of Solid Materials. Cambridge University Press, Cambridge.
20. Martins, J. A. C., Manuel, D. P., Monteiro, M. and Gastaldi, F. (1994). On an example of non-existence of solution to a quasistatic frictional contact problem. Eur. J. Mech., A/Solids 13, 113-133.
21. Maugin, G. A. (1992), The Thermomechanics of Plasticity and Fracture. Cambridge University Press, Cambridge.
22. Michalowski, R. and Mróz, Z. (1978). Associated and non-associated sliding rules in contact friction problems. Arch. Mech. 30, 259-276.
23. Miyoshi, K. and Buckley, D. H. (1982). Anisotropic tribological properties of SiC. Wear 75, 253-268.
24. Moreau, J. J. (1970). Sur les lois de frottement, de plasticité et de viscosité. C. R. Acad. Sci. Paris A 27i, 608-611.
25. Moreau, J. J. (1974). On unilateral constraints, friction and plasticity. New Variational Techniques in Mathematical Physics (Edited by G. Capriz and G. Stampacchia). Edizione Cremonese, Rom.
26. Mröz, Z. and Stupkiewicz, S. (1994). An anisotropic friction and wear model. Int. J. Solids Structures 31, 1113-1131.
27. Nguyen Quoc Son (1977). On the elastic plastic initial-boundary value problem and its numerical integration. Int. J. Num. Meth. Engng 11, 817-832.
28. Onsager, L. (1931a). Reciprocal relations in irreversible processes. Phys. Rev. 37, 405-427.
29. Onsager, L. (1931b). Reciprocal relations in irreversible processes. Phys. Rev. 38, 2265-2279.
30. Rabinowicz, E. (1965). Friction and Wear of Materials. John Wiley.
31. Strömberg, N., Johansson, L. and Klarbring, A. (1995). Generalised standard model for contact, friction and wear. Proceedings of The 2nd Contact Mechanics International Symposium (15-23 September 1994) Marseille, France.
32. Suh, N. P. (1973). The delamination theory of wear. Wear 25, 111-124.
33. Suh, N. P. (1982). Surface interactions. In Tribological Technology (Edited by P. Senholzi), Vol. 1, pp. 37-208. Martins Nijhoff, The Hague.
34. Waterhouse, R. B. (1984). Fretting wear. Wear 100, 107-118.
35. Wriggers, P., Vu Van, T. and Stein, E. (1990). Finite element formulation of large deformation impact-contact problems of friction. Comp. Struct. 37, 319-333.
36. Ziegler, H. (1958). An attempt to generalize Onsager's principle, and its significance for rheological problems. ZAMP 9, 748-763.
37. Ziegler, H. (1963). Some extremum principle in irreversible thermodynamics with application to continuum mechanics. Prog. Solid Mech. 4, 93-193.
38. Ziegler, H. (1981). Discussion of some objections to thermomechanical orthogonality. Ingenieur-Archiv 50, 149-164.