A generalised asperity-based friction model

Tribology Letters

Volumn 40, Issue 1, 2010, Pages 113-130

  De Moerlooze, Kris ^a   Al Bender, Farid ^a   Van Brussel, Hendrik ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Dynamic modelling; Friction mechanisms

Indexed keywords

CONTACT PHENOMENA; DRY FRICTION; DWELL TIME; DYNAMIC MODELLING; ELASTIC-PLASTIC BEHAVIOUR; ELASTIC-PLASTIC CONTACT; EXPERIMENTAL RESEARCH; EXPERIMENTAL STUDIES; FRICTION MECHANISMS; FRICTION MODELS; GEOMETRICAL INFORMATIONS; LOCAL ADHESION; MATING SURFACES; NONLOCAL; PHYSICAL PHENOMENA; PHYSICS-BASED MODELLING; RESEARCH EFFORTS; SIMULATION RESULT; STATIC COEFFICIENT OF FRICTIONS; STICK-SLIP; VISCOUS EFFECT;

ADHESION; ELASTOPLASTICITY; RESEARCH; SLIP FORMING; TRIBOLOGY;

FRICTION;

EID: 77958105750     PISSN: 10238883     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11249-010-9645-x     Document Type: Article

References (67)

1. da Vinci, L.: Codex Atlanticus
2. Amontons, G.: On the resistance originating in machines. In: Proceedings of the French Royal Academy of Sciences, pp. 206-222 (1699)
3. L. Euler 1748 Sur le frottement des corps solides Memoires de l'academie des sciences de Berlin 4 122 132
4. Coulomb, C.A.: Theorie des machines simples, en ayant egard au frottement de leurs parties, et a la roideur des cordages. In: Memoire de Mathematique et de Physics de l'Academie Royal, pp. 161-342 (1785)
5. Bowden, F.P., Tabor, D.: The Friction and Lubrication of Solids. Clarendon Press, Oxford (1950)
6. V.L. Popov S.G. Psakhie 2007 Numerical simulation methods in tribology Tribol. Int. 40 916 823 1:CAS:528:DC%2BD28XhtlShs7rK
7. E.J. Berger 2002 Friction modeling for dynamic system simulation Appl. Mech. Rev. 55 6 535 577
8. S.S. Perry W.T. Tysoe 2005 Frontiers of fundamental tribological research Tribol. Lett. 19 3 151 161
9. B.N.J. Persson 1999 Sliding friction Surf. Sci. Rep. 33 3 83 120 1:CAS:528:DyaK1MXisV2ltLs%3D 1999SurSR..33...83P
10. B.N.J. Persson O. Albohr U. Tartaglino A.I. Volokitin E. Tosatti 2005 On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion J. Phys. Condens. Matter 17 1 62 2005JPCM...17R...1P
11. E.J. Abbott F.A. Firestone 1933 Specifying surface quality: a method based on accurate measurement and comparison Mech. Eng. 55 569 572
12. Kragelsky, I.V.: Friction and Wear. Butterworths, Washington (1965)
13. J.A. Greenwood J.B.P. Williamson 1966 Contact of nominally flat surfaces Proc. R. Soc. Lond. A 295 300 319 1:CAS:528:DyaF2sXht1ChsA%3D%3D 1966RSPSA.295..300G
14. D.J. Whitehouse J.F. Archard 1970 The properties of random surfaces on significance in their contact Proc. R. Soc. Lond. A 316 97 121 1970RSPSA.316...97W
15. J.A. Ogilvy 1991 Numerical simulation of friction between contacting rough surfaces J. Phys. D Appl. Phys. 24 11 2098 2109 1:CAS:528: DyaK3MXmvVyisbs%3D 1991JPhD...24.2098O
16. H. Hertz 1882 Über die Berührung fester elastischer Körper Journal für die reine und angewandte Mathematik 92 156 171
17. I.J. Ford 1993 Roughness effect on friction for multi-asperity contact between surfaces J. Phys. D Appl. Phys. 26 2219 2225 1993JPhD...26.2219F
18. Tabor, D.: The Properties of Diamond, Chap. 10, pp. 325-350. Academic, London (1979)
19. W.R. Chang I. Etsion D.B. Bogy 1987 An elastic-plastic model for the contact of rough surfaces Trans. ASME J. Tribol. 109 257 263 (Pubitemid 17569991)
20. B.V. Derjaguin V.M. Muller Y.V. Toporov 1975 Effect of contact deformations on the adhesion of particles J. Colloid Interface Sci. 53 2 314 326 1:CAS:528:DC%2BD1MXhtlGhtLrE
21. W.W. Tworzydlo W. Cecot J.T. Oden C.H. Yew 1998 Computational micro- and macroscopic models of contact and friction: formulation, approach and applications Wear 220 2 113 140 1:CAS:528:DyaK1cXmvVyqu7Y%3D
22. Y.A. Karpenko A. Akay 2001 A numerical model of friction between rough surfaces Tribol. Int. 34 531 545
23. R.L. Jackson I. Green 2005 A finite element study of elasto-plastic hemispherical contact ASME J. Tribol. 127 2 343 354
24. J.J. Quicksall R.L. Jackson I. Green 2004 Elasto-plastic hemispherical contact models for various mechanical properties IMechE J. Eng. Tribol. 218 4 313 322
25. Lampaert, V.: Modelling and control of dry sliding friction in mechanical systems. PhD thesis, Katholieke Universiteit Leuven, Division of Production Engineering, Machine Design and Automation, Leuven, Belgium (2003)
26. F. Al-Bender V. Lampaert J. Swevers 2004 A novel generic model at asperity level for dry friction force dynamics Tribol. Lett. 16 1 81 93
27. T. Geike V.L. Popov 2008 Reduced description of mixed lubrication Tribol. Int. 41 542 548 1:CAS:528:DC%2BD1cXivFWmtLw%3D
28. S. Björklund 1997 A random model for micro-slip between nominally flat surfaces Trans. ASME J. Tribol. 119 4 726 732
29. S. Andrews H. Sehitoglu 2000 A computer model for crack growth from rough surfaces Int. J. Fatigue 22 619 630 1:CAS:528:DC%2BD3cXks12nt7k%3D
30. K.L. Johnson K. Kendall A.D. Roberts 1971 Surface energy and the contact of elastic solids Proc. R. Soc. Lond. A Math. Phys. Sci. 324 301 313 1:CAS:528:DyaE3MXkvFWmtrY%3D 1971RSPSA.324..301J
31. D. Tabor 1976 Surface forces and surface interactions J. Colloid Interface Sci. 58 1 13
32. V.M. Muller V.S. Yushenko B.V. Derjaguin 1980 On the influence of molecular forces on the deformation of an elastic sphere and its sticking to a rigid plane J. Colloid Interface Sci. 77 91 101 1:CAS:528:DyaL3cXlt1Sqt74%3D
33. D. Maugis 1992 Adhesion of spheres: the JKR-DMT transition using a dugdale model J. Colloid Interface Sci. 150 1 243 269 1:CAS:528: DyaK38XhvVaiu7s%3D
34. L. Vu-Quoc X. Zhang L. Lesburg 2001 Normal and tangential force-displacement relations for frictional elastic-plastic contact of spheres Int. J. Solids Struct. 38 6455 6489 1090.74643
35. K.C. Ludema D. Tabor 1966 The friction and visco-elastic properties of polymeric solids Wear 9 329 348 1:CAS:528:DyaF2sXns1GisA%3D%3D
36. Czichos, H.: Tribology a Systems Approach to the Science and Technology of Friction, Lubrication and Wear, vol. 1. Elsevier, Amsterdam (1978)
37. W.D. Iwan 1966 A distributed-element model for hysteresis and its steady-state dynamic response J. Appl. Mech. 33 4 893 900
38. M. Goldfarb N. Celanovic 1997 A lumped parameter electromechanical model for describing the nonlinear behavior of piezoelectric actuators Trans. ASME J. Dyn. Syst. Meas. Control 119 478 485 0900.93029
39. D.D. Rizos S.D. Fassois 2004 Presliding friction identification based upon the Maxwell Slip model structure Chaos 14 2 431 445 1080.70010 2064213 2004Chaos..14..431R 15189071
40. E. Buckingham 1914 On physically similar systems: illustrations of the use of dimensional equations Phys. Rev. IV 4 345 376
41. P.B. Bornemann U. Galvanetto M.A. Crisfield 2002 Some remarks on the numerical time integration of non-linear dynamical systems J. Sound Vib. 252 5 935 944 1912451 2002JSV...252..935B
42. C.A. Brockley H.R. Davis 1968 The time-dependence of static friction Trans. ASME J. Lubr. Technol. 90 35 41
43. Rabinowicz, E.: Friction and Wear of Materials. Wiley, New York (1965)
44. T.O. Mulhearn D. Tabor 1960 Creep and hardness of metals: a physical study J. Inst. Met. 89 1 7 12 1:CAS:528:DyaF3MXhvVSi
45. Bowden, F.P., Tabor, D.: The Friction and Lubrication of Solids, Part II. Clarendon Press, Oxford (1964)
46. N.V. Gitis L. Volpe 1992 Nature of static friction time dependence J. Phys. D Appl. Phys. 25 4 605 612 1992JPhD...25..605G
47. P. Berthoud T. Baumberger 1998 Role of asperity creep in time- and velocity-dependent friction of a polymer glass Europhys. Lett. 41 6 617 622 1:CAS:528:DyaK1cXitV2ntbw%3D 1998EL.....41..617B
48. T. Baumberger 1997 Contact dynamics and friction at a solid-solid interface: material versus statistical aspects Solid State Commun. 102 2-3 175 185 1:CAS:528:DyaK2sXis1yru7o%3D 1997SSCom.102..175B
49. Dowson, D.: History of Tribology. Longman, London (1979)
50. Baumberger, T.: Physics of Sliding Friction, Chap. 1. Dry Friction Dynamics at Low Velocities, pp. 1-16. Kluwer Academic Publishers, Dordrecht (1996)
51. F. Heslot T. Baumberger B. Perrin B. Caroli C. Caroli 1994 Creep, stick-slip, and dry-friction dynamics: experiments and a heuristic model Phys. Rev. E 49 6 4973 1994PhRvE..49.4973H
52. J.H. Dieterich B.D. Kilgore 1994 Direct observation of frictional contacts: new insights for state-dependent properties Pure Appl. Geophys. 143 283 302 1994PApGe.143..283D
53. V. Lampaert F. Al-Bender J. Swevers 2004 Experimental characterisation of dry friction at low velocities on a developed tribometer setup for macroscopic measurements Tribol. Lett. 16 1-2 95 105
54. Mayergoyz, I.: Mathematical Models of Hysteresis. Springer-Verlag, New-York (1991)
55. F. Al-Bender W. Symens 2005 Dynamic characterization of hysteresis elements in mechanical systems, Part 1. Theoretical analysis Chaos Interdiscip. J. Nonlinear Sci. 15 1 1 11 (Pubitemid 40579387)
56. Masing, G. (1926) Eigenspannungen und Verfestigung beim Messing. In: Proceedings of the 2nd International Congress on Applied Mechanics. Zürich, Swiss, pp. 332-335
57. K.N. Smith P. Watson T.H. Topper 1970 Stress-strain function for fatigue of metals J. Mater. 5 4 767 778
58. B.M.Y. Nouri 2004 Friction identification in mechatronic systems ISA Trans. 43 205 216 15098581
59. Kappagantu, R.V., Feeny, B.F.: Proper orthogonal modes of a beam with frictional excitation. In: Guran, A. (ed.) Proceedings of the First International Symposium on Impact and Friction of Solids, Structures and Intelligent Machines, vol. 14 of B, pp. 167-172 (1998)
60. H. Yanada Y. Sekikawa 2008 Modeling of dynamic behaviors of friction Mechatronics 18 330 339
61. Al-Bender, F., De Moerlooze, K.: On the relationship between normal load and friction force in pre-sliding frictional contacts, Part 1: Theoretical analysis. Submitted to Wear (2009). doi: 10.1016/j.wear.2010.02.010
62. De Moerlooze, K., Al-Bender, F.: On the relationship between normal load and friction force in pre-sliding frictional contacts, Part 2: Experimental investigation. Submitted to Wear (2009). doi: 10.1016/j.wear.2010.02.008
63. D.P. Hess A. Soom 1990 Friction at a lubricated line contact operating at oscillating sliding velocities J. Tribol. 112 147 152
64. A. Harnoy B. Friedland H. Rachoor 1994 Modeling and simulation of elastic and friction forces in lubricated bearings for precise motion control Wear 172 155 165 1994Wear..172..155H
65. Al-Bender, F., De Moerlooze, K., Vanherck, P.: Lift-up butterflies in friction. Manuscript in preparation (2010)
66. D.M. Tolstoi 1967 Significance of the normal degree of freedom and the natural normal vibrations in contact friction Wear 10 3 199 213
67. F. Al-Bender V. Lampaert J. Swevers 2004 Modeling of dry sliding friction dynamics: from heuristic models to physically motivated models and back Chaos Interdiscip. J. Nonlinear Sci. 14 2 446 460