This work presents a finite element study of a two-dimensional (2D) plane strain fretting model of a half cylinder in contact with a flat block under oscillatory tangential loading. The two bodies are deformable and are set to the same material properties (specifically steel), however, because the results are normalized, they can characterize a range of contact scales (micro to macro), and are applicable for ductile material pairs that behave in an elastic-perfectly plastic manner. Different coefficients of friction (COFs) are used in the interface. This work finds that the edges of the contacting areas experience large von Mises stresses along with significant residual plastic strains, while pileup could also appear there when the COFs are sufficiently large. In addition, junction growth is investigated, showing a magnitude that increases with the COF, while the rate of growth stabilization decreases with the COF. The fretting loop (caused by the tangential force during the fretting motion) for the initial few cycles of loading is generated, and it compares well with reported experimental results. The effects of boundary conditions are also discussed where a prestressed compressed block is found to improve (i.e., reduce) the magnitude of the plastic strain compared to an unstressed block.

References

References
1.
Slack
,
T. S.
,
Leonard
,
B. D.
, and
Sadeghi
,
F.
,
2013
, “
Estimating Life Scatter in Fretting Fatigue Crack Initiation
,”
Tribol. Trans.
,
56
(
4
), pp.
531
535
.
2.
Johnson
,
K. L.
,
1987
,
Contact Mechanics
,
Cambridge University Press
, New York.
3.
Cattaneo
,
C.
,
1938
, “
Sul Contatto Di Due Corpi Elastici: Distribuzione Locale Degli Sforzi
,”
Rend. Accad. Naz. Lincei
,
27
(
6
), pp.
342
348
.
4.
Mindlin
,
R.
,
1949
, “
Compliance of Elastic Bodies in Contact
,”
ASME J. Appl. Mech.
,
16
, pp.
259
268
.
5.
Goodman
,
L.
, and
Hamilton
,
G.
,
1966
, “
The Stress Field Created by a Circular Sliding Contact
,”
ASME J. Appl. Mech.
,
33
(2), pp.
371
376
.
6.
Adams
,
G. G.
,
2014
, “
Stick, Partial Slip and Sliding in the Plane Strain Micro Contact of Two Elastic Bodies
,”
R. Soc. Open Sci.
,
1
(
3
), p.
140363
.
7.
Courtney-Pratt
,
J.
, and
Eisner
,
E.
,
1957
, “
The Effect of a Tangential Force on the Contact of Metallic Bodies
,”
Proc. R. Soc. London, Ser. A
,
238
(
1215
), pp.
529
550
.
8.
Tabor
,
D.
,
1959
, “
Junction Growth in Metallic Friction: The Role of Combined Stresses and Surface Contamination
,”
Proc. R. Soc. London, Ser. A
,
251
(
1266
), pp.
378
393
.
9.
Parker
,
R.
, and
Hatch
,
D.
,
1950
, “
The Static Coefficient of Friction and the Area of Contact
,”
Proc. Phys. Soc. London Sect. B
,
63
(
3
), p.
185
.
10.
Leonard
,
B. D.
,
Sadeghi
,
F.
,
Evans
,
R. D.
,
Doll
,
G. L.
, and
Shiller
,
P. J.
,
2009
, “
Fretting of WC/aC: H and Cr2N Coatings Under Grease-Lubricated and Unlubricated Conditions
,”
Tribol. Trans.
,
53
(
1
), pp.
145
153
.
11.
Leonard
,
B. D.
,
Sadeghi
,
F.
,
Shinde
,
S.
, and
Mittelbach
,
M.
,
2012
, “
A Novel Modular Fretting Wear Test Rig
,”
Wear
,
274–275
, pp.
313
325
.
12.
Warhadpande
,
A.
,
Leonard
,
B.
, and
Sadeghi
,
F.
,
2008
, “
Effects of Fretting Wear on Rolling Contact Fatigue Life of M50 Bearing Steel
,”
Proc. Inst. Mech. Eng., Part J
,
222
(
2
), pp.
69
80
.
13.
Leonard
,
B.
,
Sadeghi
,
F.
, and
Cipra
,
R.
,
2008
, “
Gaseous Cavitation and Wear in Lubricated Fretting Contacts
,”
Tribol. Trans.
,
51
(
3
), pp.
351
360
.
14.
Kogut
,
L.
, and
Etsion
,
I.
,
2002
, “
Elastic–Plastic Contact Analysis of a Sphere and a Rigid Flat
,”
ASME J. Appl. Mech.
,
69
(
5
), pp.
657
662
.
15.
Jackson
,
R. L.
, and
Green
,
I.
,
2005
, “
A Finite Element Study of Elasto-Plastic Hemispherical Contact against a Rigid Flat
,”
ASME J. Tribol.
,
127
(
2
), pp.
343
354
.
16.
Tsukizoe
,
T.
, and
Hisakado
,
T.
,
1968
, “
On the Mechanism of Contact Between Metal Surfaces—Part 2: The Real Area and the Number of the Contact Points
,”
ASME J. Lubr. Technol.
,
90
(
1
), pp.
81
88
.
17.
Sharma
,
A.
, and
Jackson
,
R. L.
,
2017
, “
A Finite Element Study of an Elasto-Plastic Disk or Cylindrical Contact against a Rigid Flat in Plane Stress With Bilinear Hardening
,”
Tribol. Lett.
,
65
(
3
), p.
112
.
18.
Brizmer
,
V.
,
Kligerman
,
Y.
, and
Etsion
,
I.
,
2007
, “
A Model for Junction Growth of a Spherical Contact Under Full Stick Condition
,”
ASME J. Tribol.
,
129
(
4
), pp.
783
790
.
19.
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
(
1
), pp.
100
106
.
20.
Vijaywargiya
,
R.
, and
Green
,
I.
,
2007
, “
A Finite Element Study of the Deformations, Forces, Stress Formations, and Energy Losses in Sliding Cylindrical Contacts
,”
Int. J. Non-Linear Mech.
,
42
(
7
), pp.
914
927
.
21.
Boucly
,
V.
,
Nélias
,
D.
, and
Green
,
I.
,
2007
, “
Modeling of the Rolling and Sliding Contact Between Two Asperities
,”
ASME J. Tribol.
,
129
(
2
), pp.
235
245
.
22.
Gupta
,
V.
,
Bastias
,
P.
,
Hahn
,
G. T.
, and
Rubin
,
C. A.
,
1993
, “
Elasto-Plastic Finite-Element Analysis of 2-D Rolling-Plus-Sliding Contact With Temperature-Dependent Bearing Steel Material Properties
,”
Wear
,
169
(
2
), pp.
251
256
.
23.
Ghosh
,
A.
,
Leonard
,
B.
, and
Sadeghi
,
F.
,
2013
, “
A Stress Based Damage Mechanics Model to Simulate Fretting Wear of Hertzian Line Contact in Partial Slip
,”
Wear
,
307
(
1
), pp.
87
99
.
24.
Mohrbacher
,
H.
,
Celis
,
J.-P.
, and
Roos
,
J.
,
1995
, “
Laboratory Testing of Displacement and Load Induced Fretting
,”
Tribol. Int.
,
28
(
5
), pp.
269
278
.
25.
Brandt
,
J.
,
Charron
,
K.
,
Zhao
,
L.
,
MacDonald
,
S.
, and
Medley
,
J.
,
2011
, “
Commissioning of a Displacement-Controlled Knee Wear Simulator and Exploration of Some Issues Related to the Lubricant
,”
Proc. Inst. Mech. Eng., Part H
,
225
(
8
), pp.
736
752
.
26.
Johnson
,
T.
,
Laurent
,
M.
,
Yao
,
J.
, and
Gilbertson
,
L.
,
2001
, “
The Effect of Displacement Control Input Parameters on Tibiofemoral Prosthetic Knee Wear
,”
Wear
,
250
(
1
), pp.
222
226
.
27.
Lanovaz
,
J.
, and
Ellis
,
R.
,
2008
, “
Dynamic Simulation of a Displacement-Controlled Total Knee Replacement Wear Tester
,”
Proc. Inst. Mech. Eng., Part H
,
222
(
5
), pp.
669
681
.
28.
Shigley, J. E.
, and
Mischke, C. R.
, 1989,
Mechanical Engineering Design
, 5th ed., McGraw-Hill, New York.
29.
Jiang
,
Y.
,
Zhang
,
M.
,
Park
,
T.-W.
, and
Lee
,
C.-H.
,
2004
, “
An Experimental Study of Self-Loosening of Bolted Joints
,”
ASME J. Mech. Des.
,
126
(
5
), pp.
925
931
.
30.
Kenny
,
P.
, and
Johnson
,
S.
,
1976
, “
An Investigation of the Abrasive Wear of Mineral-Cutting Tools
,”
Wear
,
36
(
3
), pp.
337
361
.
31.
Barber
,
J. R.
,
1992
,
Elasticity
, Kluwer Academic Publishers, Dordrecht, The Netherlands.
32.
Green
,
I.
,
2005
, “
Poisson Ratio Effects and Critical Valus in Spherical and Cylindrical Hertzian Contacts
,”
Appl. Mech. Eng.
,
10
(
3
), pp.
451
462
.
33.
Walvekar
,
A. A.
,
Leonard
,
B. D.
,
Sadeghi
,
F.
,
Jalalahmadi
,
B.
, and
Bolander
,
N.
,
2014
, “
An Experimental Study and Fatigue Damage Model for Fretting Fatigue
,”
Tribol. Int.
,
79
, pp.
183
196
.
You do not currently have access to this content.