The evolution of static friction and tangential stiffness in presliding of an elastic-plastic sphere in contact with a rigid flat, under full stick contact condition, is analyzed. Empirical dimensionless equations are developed for these parameters.
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References
1.
Cattaneo
, C.
, 1938, “Sul Contatto di due Corpi Elastici: Distribuzione Locale Degli Sforzi,”
Rend. Accad. Naz. Lincei
, 27
, Ser. 6
, pp. 342
–348
, 434–436, 474–478.2.
Mindlin
, R. D.
, 1949, “Compliance of Elastic Bodies in Contact
,” ASME J. Appl. Mech.
, 16
, pp. 259
–268
.3.
Hamilton
, G. M.
, 1983, “Explicit Equations for the Stresses beneath a Sliding Spherical Contact
,” Proc. Inst. Mech. Eng.
, 197
(C
), pp. 53
–59
.4.
Tian
, H.
, and Saka
, N.
, 1991, “Finite Element Analysis of an Elastic-Plastic Two-Layer Half-Space: Normal Contact
,” Wear
, 148
, pp. 47
–68
.5.
Kral
, E. R.
, and Komvopoulos
, K.
, 1997, “Three-Dimensional Finite Element Analysis of Subsurface Stress and Strain Fields Due to Sliding Contact on an Elastic-Plastic Layered Medium
,” ASME J. Tribol.
, 119
, pp. 332
–341
.6.
Faulkner
, A.
, and Arnell
, R. D.
, 2000, “The Development of a Finite Element Model to Simulate the Sliding Interaction Between Two, Three-Dimensional, Elastoplastic, Hemispherical Asperities
,” Wear
, 242
, pp. 114
–122
.7.
Stephens
, L. S.
, Liu
, Y.
, and Meletis
, E.I.
, 2000, “Finite Element Analysis of the Initial Yielding Behavior of a Hard Coating/Substrate System With Functionally Graded Interface Under Indentation and Friction
,” ASME J. Tribol.
, 122
, pp. 381
–387
.8.
Zhang
, H.
, Cheng
, L.
, Webster
, M. N.
, and Jackson
, A.
, 2003, “Effects of Friction on the Contact and Deformation behavior in Sliding Asperity Contacts
,” Tribol. Trans.
, 46
, p. 514
.9.
McFarlane
, J. S.
, and Tabor
, D.
, 1950, “Relation between Friction and Adhesion
,” Proc. R. Soc. London, Ser. A
, 202
, pp. 244
–253
.10.
Chang
, W.
, Etsion
, I.
, and Bogy
, D.
, 1987, “Elastic Plastic Model for the Contact of Rough Surfaces
,” ASME J. Tribol.
, 109
, pp. 257
–262
.11.
Kogut
, L.
, and Etsion
, I.
, 2003, “A Finite Element Based Elastic-Plastic Model for the Contact of Rough Surfaces
,” Tribol. Trans.
, 46
(3
), pp. 383
–390
.12.
Brizmer
, V.
, Kligerman
, Y.
, and Etsion
, I.
, 2006, “Elastic-Plastic Spherical Contact Under Combined Normal and Tangential Loading in Full Stick
,” Tribol. Lett.
, 25
, pp. 61
–70
.13.
Ovcharenko
, A.
, Halperin
, G.
, and Etsion
, I.
, 2008, “Experimental Study of Adhesive Static Friction in a Spherical Elastic-Plastic Contact
,” ASME J. Tribol.
, 130
, p. 021401
.14.
Etsion
, I.
, 2010, “Revisiting the Cattaneo-Mindlin Concept of Interfacial Slip in Tangentially Loaded Compliant Bodies
,” ASME J. Tribol.
, 132
, p. 020801
.15.
Chang
, L.
, and Zhang
, H.
, 2007, “A Mathematical Model for Frictional Elastic-Plastic Sphere-on-Flat Contacts at Sliding Incipient
,” ASME J. Appl. Mech.
, 74
, pp. 100
–106
.16.
Chen
, W. W.
, and Wang
, Q. J.
, 2009, “A Numerical Static Friction Model for Spherical Contacts of Rough Surfaces, Influence of Load, Material, and Roughness
,” ASME J. Tribol.
, 131
, p. 021402
.17.
Eriten
, M.
, Polycarpou
, A. A.
, and Bergman
, L. A.
, 2010, “Physics-Based Modeling for Partial Slip Behavior of Spherical Contacts
,” Int. J. Solids Struct.
, 47
, pp. 2554
–2567
.18.
Al-Bender
, F.
, and De Morelooze
, K.
, 2010, “On the Relationship between Normal Load and Friction Force in Pre-sliding Frictional Contacts. Part 1: Theoretical Analysis
,” Wear
, 269
, pp. 174
–182
.19.
Wang
, Z. J.
, Wang
, W. Z.
, Wang
, H.
, Zhu
, D.
, and Hu
, Y. Z.
, 2010, “Partial Slip Contact Analysis on Three-Dimensional Elastic Layered Half Space
,” ASME J. Tribol.
, 132
, p. 021403
.20.
Ovcharenko
, A.
, Halperin
, G.
, and Etsion
, I.
, 2008, “In Situ and Real-Time Optical Investigation of Junction Growth in Spherical Elastic-Plastic Contact
,” Wear
, 264
, pp. 1043
–1050
.21.
Zolotarevskiy
, V.
, Kligerman
, Y.
, and Etsion
, I.
, 2011, “Elastic-Plastic Spherical Contact Under Cyclic Tangential Loading in Pre-sliding,”
Wear
, 270
, pp. 888
–894
.22.
Cohen
, D.
, Kligerman
, Y.
, and Etsion
, I.
, 2009, “The Effect of Surface Roughness on Static Friction and Junction Growth of an Elastic-Plastic Spherical Contact
,” ASME J. Tribol.
, 131
, p. 021404
.23.
Li
, L.
, Etsion
, I.
, and Talke
, F. E.
, 2010, “Elastic-Plastic Spherical Contact Modeling Including Roughness Effects
,” Tribol. Lett.
, 40
(3
) pp. 357
–363
.24.
Lee
, C. H.
, and Polycarpou
, A. A.
, 2007, “Static Friction Experiments and Verification of an Improved Elastic-Plastic Model Including Roughness Effects
,” ASME J. Tribol.
, 129
(4
) pp. 754
–760
.25.
Salib
, J.
, Kligerman
, Y.
, and Etsion
, I.
, 2008, “A Model for Potential Adhesive Wear Particle at Sliding Inception of a Spherical Contact
,” Tribol. Lett.
, 30
, pp. 225
–233
.Copyright © 2011
by American Society of Mechanical Engineers
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