Abstract

This article derives analytical solutions to calculate the wear volume at the initiation of fretting motion and its early progression over the first few oscillation cycles. The Archard-based model considers a deformable hemisphere that is contact with a deformable flat block. The material pairs investigated are special alloys, the Inconel 617/Incoloy 800H, and Inconel 617/Inconel 617. The analytical study begins with a unidirectional frictional sliding contact, where the local interfacial sliding distance and the nominal sliding distance at the initiation of gross slip are derived. The obtained analytical expressions for unidirectional sliding are then used to derive the corresponding wear volume for the initiation and early progression of gross slip and the wear volume for a general fretting cycle under elastic conditions. These analytical derivations are all verified by the finite element analysis (FEA). The FEA method and the analytical solutions render virtually identical results for both similar and dissimilar material pairs. The effects of plasticity on the wear volume under elastic–plastic conditions are also investigated. It is found that the fretting wear volumes obtained from the FEA simulations, which include plasticity, are close to those obtained from the analytical expressions for purely elastic regimes. All the results are presented in normalized forms, which can be easily generalized and applied to three-dimensional fretting wear of other material pairs.

References

1.
Johnson
,
K. L.
,
1987
,
Contact Mechanics
,
Cambridge University Press
,
Cambridge, UK
.
2.
Tomlinson
,
G.
,
Thorpe
,
P.
, and
Gough
,
H.
,
1939
, “
An Investigation of the Fretting Corrosion of Closely Fitting Surfaces
,”
Proc. Inst. Mech. Eng.
,
141
(
1
), pp.
223
249
.
3.
Vingsbo
,
O.
, and
Söderberg
,
S.
,
1988
, “
On Fretting Maps
,”
Wear
,
126
(
2
), pp.
131
147
.
4.
Zhou
,
Z.
, and
Vincent
,
L.
,
1995
, “
Mixed Fretting Regime
,”
Wear
,
181
, pp.
531
536
.
5.
Zhou
,
Z.
,
Nakazawa
,
K.
,
Zhu
,
M.
,
Maruyama
,
N.
,
Kapsa
,
P.
, and
Vincent
,
L.
,
2006
, “
Progress in Fretting Maps
,”
Tribol. Int.
,
39
(
10
), pp.
1068
1073
.
6.
Waterhouse
,
R.
,
1984
, “
Fretting Wear
,”
Wear
,
100
(
1–3
), pp.
107
118
.
7.
McColl
,
I.
,
Ding
,
J.
, and
Leen
,
S.
,
2004
, “
Finite Element Simulation and Experimental Validation of Fretting Wear
,”
Wear
,
256
(
11–12
), pp.
1114
1127
.
8.
Fouvry
,
S.
,
Kapsa
,
P.
,
Zahouani
,
H.
, and
Vincent
,
L.
,
1997
, “
Wear Analysis in Fretting of Hard Coatings Through a Dissipated Energy Concept
,”
Wear
,
203
, pp.
393
403
.
9.
Blanchard
,
P.
,
Colombie
,
C.
,
Pellerin
,
V.
,
Fayeulle
,
S.
, and
Vincent
,
L.
,
1991
, “
Material Effects in Fretting Wear: Application to Iron, Titanium, and Aluminum Alloys
,”
Metall. Trans. A
,
22
(
7
), pp.
1535
1544
.
10.
Ding
,
J.
,
Leen
,
S.
, and
McColl
,
I.
,
2004
, “
The Effect of Slip Regime on Fretting Wear-Induced Stress Evolution
,”
Int. J. Fatigue
,
26
(
5
), pp.
521
531
.
11.
Ratsimba
,
C.
,
McColl
,
I.
,
Williams
,
E.
,
Leen
,
S.
, and
Soh
,
H.
,
2004
, “
Measurement, Analysis and Prediction of Fretting Wear Damage in a Representative Aeroengine Spline Coupling
,”
Wear
,
257
(
11
), pp.
1193
1206
.
12.
Fridrici
,
V.
,
Fouvry
,
S.
, and
Kapsa
,
P.
,
2003
, “
Fretting Wear Behavior of a Cu–Ni–In Plasma Coating
,”
Surf. Coat. Technol.
,
163
, pp.
429
434
.
13.
Paulin
,
C.
,
Fouvry
,
S.
, and
Meunier
,
C.
,
2008
, “
Finite Element Modelling of Fretting Wear Surface Evolution: Application to a Ti–6A1–4 V Contact
,”
Wear
,
264
(
1–2
), pp.
26
36
.
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. Tech.
,
90
(
1
), pp.
81
88
.
17.
Green
,
I.
,
2005
, “
Poisson Ratio Effects and Critical Valus in Spherical and Cylindrical Hertzian Contacts
,”
Appl. Mech. Eng.
,
10
(
3
), p.
451
.
18.
Yang
,
H.
, and
Green
,
I.
,
2018
, “
An Elastoplastic Finite Element Study of Displacement-Controlled Fretting in a Plane-Strain Cylindrical Contact
,”
ASME J. Tribol.
,
140
(
4
), p.
041401
.
19.
Yang
,
H.
, and
Green
,
I.
,
2019
, “
A Fretting Finite Element Investigation of a Plane-Strain Cylindrical Contact of Inconel 617/Incoloy 800H at Room and High Temperatures
,”
Proc. Inst. Mech. Eng. Part J: J. Eng. Tribol.
,
233
(
4
), pp.
553
569
.
20.
Yang
,
H.
, and
Green
,
I.
,
2019
, “
Analysis of Displacement-Controlled Fretting Between a Hemisphere and a Flat Block in Elasto-Plastic Contacts
,”
ASME J. Tribol.
,
141
(
3
), p.
031401
.
21.
Yang
,
H.
, and
Green
,
I.
,
2019
, “
Fretting Wear Modeling of Cylindrical Line Contact in Plane-Strain Borne by the Finite Element Method
,”
ASME J. Appl. Mech.
,
86
(
6
), p.
061012
.
22.
METALS, S.
,
2008
, “
Product Handbook of Highperformance Nickel Alloys
,” Product Handbook
.
23.
Archard
,
J.
,
1953
, “
Contact and Rubbing of Flat Surfaces
,”
J. Appl. Phys.
,
24
(
8
), pp.
981
988
.
You do not currently have access to this content.