The effect of roughness on the frictional energy dissipation in fretting contact of nominally flat rough surfaces is studied. The contact is modeled as the statistical sum of asperity tip junctions. A mathematical analysis with a probability distribution of asperity heights in the form of a delta sequence is conducted to analytically show that a rougher surface dissipates more energy than a smoother surface. Numerical simulations with three typical measured surface roughness profiles are presented, validating the analytical finding that rougher surfaces dissipate more energy than smoother surfaces in fretting contact. The proposed statistical approach is compared with so called “direct” calculation methods, which analytically model discrete asperity contacts, and the differences regarding the energy dissipation in fretting are discussed.
Issue Section:
Research Papers
1.
Bowden
, F. P.
, and Tabor
, D.
, 2001, The Friction and Lubrication of Solids
, Oxford University Press
, New York
.2.
Courtney-Pratt
, J. S.
, and Eisner
, E.
, 1957, “The Effect of a Tangential Force on the Contact of Metallic Bodies
,” Proc. R. Soc. London, Ser. A
0950-1207, 238
(1215
), pp. 529
–550
.3.
Johnson
, K. L.
, 1955, “Surface Interaction Between Elastically Loaded Bodies Under Tangential Forces
,” Proc. R. Soc. London, Ser. A
0950-1207, 230
(1183
), pp. 531
–548
.4.
Mindlin
, R. D.
, Mason
, W. P.
, Osmer
, T. F.
, and Deresiewicz
, H.
, 1952, “Effects of an Oscillating Tangential Force on the Contact Surfaces of Elastic Spheres
,” Proceedings of the First U.S. National Congress of Applied Mechanics
, pp. 203
–208
.5.
O’Connor
, J. J.
, and Johnson
, K. L.
, 1963, “The Role of Surface Asperities in Transmitting Tangential Forces Between Metals
,” Wear
0043-1648, 6
(2
), pp. 118
–139
.6.
Hartwigsen
, C. J.
, Song
, Y.
, McFarland
, D. M.
, Bergman
, L. A.
, and Vakakis
, A. F.
, 2004, “Experimental Study of Non-Linear Effects in a Typical Shear Lap Joint Configuration
,” J. Sound Vib.
0022-460X, 277
(1–2
), pp. 327
–351
.7.
Ovcharenko
, A.
, and Etsion
, I.
, 2009, “Junction Growth and Energy Dissipation at the Very Early Stage of Elastic-Plastic Spherical Contact Fretting
,” ASME J. Tribol.
0742-4787, 131
(3
), p. 031602
.8.
Berthoud
, P.
, and Baumberger
, T.
, 1998, “Shear Stiffness of a Solid-Solid Multicontact Interface
,” Proc. R. Soc. London, Ser. A
0950-1207, 454
, pp. 1615
–1634
.9.
Greenwood
, J. A.
, and Williamson
, J. B. P.
, 1966, “Contact of Nominally Flat Surfaces
,” Proc. R. Soc. London, Ser. A
0950-1207, 295
(1442
), pp. 300
–319
.10.
Björklund
, S.
, 1997, “A Random Model for Micro-Slip Between Nominally Flat Surfaces
,” ASME J. Tribol.
0742-4787, 119
(4
), pp. 726
–732
.11.
Borri-Brunetto
, M.
, Carpinteri
, A.
, Invernizzi
, S.
, and Paggi
, M.
, 2006, “Micro-Slip of Rough Surfaces Under Cyclic Tangential Loading
,” Analysis and Simulation of Contact Problems
, Springer-Verlag
, Berlin
, pp. 333
–340
.12.
Ciavarella
, M.
, 1998, “The Generalized Cattaneo Partial Slip Plane Contact Problem. I—Theory
,” Int. J. Solids Struct.
0020-7683, 35
(18
), pp. 2349
–2362
.13.
Jäger
, J.
, 1998, “A New Principle in Contact Mechanics
,” ASME J. Tribol.
0742-4787, 120
(4
), pp. 677
–684
.14.
Ciavarella
, M.
, Hills
, D. A.
, and Moobola
, R.
, 1999, “Analysis of Plane and Rough Contacts, Subject to a Shearing Force
,” Int. J. Mech. Sci.
0020-7403, 41
(1
), pp. 107
–120
.15.
Dini
, D.
, and Hills
, D. A.
, 2009, “Frictional Energy Dissipation in a Rough Hertzian Contact
,” ASME J. Tribol.
0742-4787, 131
(2
), p. 021401
.16.
Tayebi
, N.
, and Polycarpou
, A. A.
, 2004, “Modeling the Effect of Skewness and Kurtosis on the Static Friction Coefficient of Rough Surfaces
,” Tribol. Int.
0301-679X, 37
(6
), pp. 491
–505
.17.
Hertz
, H.
, 1881, “Über die Berührung fester, elastischer Körper
,” J. Reine Angew. Math.
0075-4102, 92
, pp. 156
–171
.18.
Cattaneo
, C.
, 1938, “Sul contatto di due corpi elastici: Distribuzione locale degli sforzi
,” Rend. Accad. Naz. Lincei
0392-7881, 27
, pp. 474
–478
.19.
Mindlin
, R. D.
, 1949, “Compliance of Elastic Bodies in Contact
,” ASME J. Appl. Mech.
0021-8936, 16
(3
), pp. 259
–268
.20.
Bureau
, L.
, Caroli
, C.
, and Baumberger
, T.
, 2003, “Elasticity and Onset of Frictional Dissipation at a Non-Sliding Multi-Contact Interface
,” Proc. R. Soc. London, Ser. A
0950-1207, 459
(2039
), pp. 2787
–2805
.21.
Keener
, J. P.
, 2000, Principles of Applied Mathematics
, Westview Press
, Cambridge, MA
.22.
Yu
, N.
, and Polycarpou
, A. A.
, 2002, “Contact of Rough Surfaces With Asymmetric Distribution of Asperity Heights
,” ASME J. Tribol.
0742-4787, 124
(2
), pp. 367
–376
.23.
Chang
, W.
, Etsion
, I.
, and Bogy
, D.
, 1987, “An Elastic-Plastic Model for the Contact of Rough Surfaces
,” ASME J. Tribol.
0742-4787, 109
(2
), pp. 257
–263
.24.
Kogut
, L.
, and Etsion
, I.
, 2003, “A Finite Element Based Elastic-Plastic Model for the Contact of Rough Surfaces
,” Tribol. Trans.
1040-2004, 46
(3
), pp. 383
–390
.25.
Lee
, C.
, and Polycarpou
, A. A.
, 2007, “Static Friction Experiments and Verification of an Improved Elastic-Plastic Model Including Roughness Effects
,” ASME J. Tribol.
0742-4787, 129
(4
), pp. 754
–760
.26.
Yan
, W.
, and Komvopoulos
, K.
, 1998, “Contact Analysis of Elastic-Plastic Fractal Surfaces
,” J. Appl. Phys.
0021-8979, 84
(7
), pp. 3617
–3624
.Copyright © 2011
by American Society of Mechanical Engineers
You do not currently have access to this content.
