Abstract

A surprising behavior of ultrathin soft coating is described in the relevant literature showing discontinuity (sharp drop) between the static friction coefficients before and after an ultrathin soft coating is applied on a harder substrate. Existing finite element (FE) models are unable to explain this unusual behavior since they suffer from convergence problem due to excessive distortion of elements in such ultrathin films. To address this problem, an FE model based on the coupled Eulerian–Lagrangian (CEL) method is presented. This method is able to capture the unexpected behavior of ultrathin soft coatings and hence, to provide a reliable scientific explanation to the experimental observation reported in the literature.

References

References
1.
Bowden
,
F. P.
, and
Tabor
,
D.
,
1954
,
The Friction and Lubrication of Solids
,
Oxford University Press
,
Oxford
.
2.
Finkin
,
E.
,
1969
, “
A Theory for the Effects of Film Thickness and Normal Load in the Friction of Thin Films
,”
ASME J. Lubr. Technol.
,
91
(
3
), pp.
551
555
. 10.1115/1.3554985
3.
Rabinowicz
,
E.
,
1967
, “
Variation of Friction and Wear of Solid Lubricant Films With Film Thickness
,”
ASLE Trans.
,
10
(
1
), pp.
1
9
. 10.1080/05698196708972159
4.
Chang
,
W. R.
,
1997
, “
An Elastic-Plastic Contact Model for a Rough Surface With an Ion-Plated Soft Metallic Coating
,”
Wear
,
212
(
2
), pp.
229
237
. 10.1016/S0043-1648(97)00148-8
5.
Gao
,
F.
,
Kotvis
,
P. V.
, and
Tysoe
,
W. T.
,
2004
, “
The Frictional Behavior of Thin Halide Films on Iron
,”
Tribol. Trans.
,
47
(
2
), pp.
208
217
. 10.1080/05698190490431894
6.
Wang
,
Y.
, and
Terrell
,
E. J.
,
2013
, “
Influence of Coating Thickness and Substrate Elasticity on the Tribological Performance of PEEK Coatings
,”
Wear
,
303
(
1–2
), pp.
255
261
. 10.1016/j.wear.2013.03.036
7.
Holmberg
,
K.
,
Laukkanen
,
A.
,
Ronkainen
,
H.
,
Wallin
,
K.
,
Varjus
,
S.
, and
Koskinen
,
J.
,
2006
, “
Tribological Contact Analysis of a Rigid Ball Sliding on a Hard Coated Surface
,”
Surf. Coat. Technol.
,
200
(
12–13
), pp.
3810
3823
. 10.1016/j.surfcoat.2005.03.041
8.
Levine
,
E. C.
, and
Peterson
,
M. B.
,
1951
,
Formation of Sulfide Films on Steel and Effect of Such Films on Static Friction
,
Lewis Flight Propulsion Laboratory
,
Cleveland, OH
.
9.
Finkin
,
E. F.
,
1971
, “
A Theory for the Friction of Sulfide and Other Thin Films
,”
Wear
,
18
(
3
), pp.
231
241
. 10.1016/0043-1648(71)90193-1
10.
Liu
,
Z. Q.
,
Neville
,
A.
, and
Reuben
,
R. L.
,
2002
, “
The Effect of Film Thickness on Initial Friction of Elastic-Plastically Rough Surface With a Soft Thin Metallic Film
,”
ASME J. Tribol.
,
124
(
3
), pp.
627
636
. 10.1115/1.1454103
11.
Derjaguin
,
V.
,
Muller
,
V.
, and
Toporov
,
Y. P.
,
1975
, “
Effect of Contact Deformations on the Adhesion of Elastic Spheres
,”
J. Colloid Inerface Sci
,
53
(
3
), pp.
14
326
.
12.
Chen
,
Z.
, and
Etsion
,
I.
,
2018
, “
Model for the Static Friction Coefficient in a Full Stick Elastic-Plastic Coated Spherical Contact
,”
Friction
,
7
(
6
), pp.
613
624
. 10.1007/s40544-018-0251-5
13.
Chen
,
Z.
,
2019
, “
Friction Reduction Effect of Soft Coatings
,”
ASME J. Tribol.
,
141
(
10
), p.
104501
. 10.1115/1.4044299
14.
Zhang
,
H.
,
Chen
,
Z.
, and
Etsion
,
I.
,
2020
, “
Model for the Static Friction Coefficient of Spherical Contact With a Soft Metal Coating
,”
SN Appl. Sci.
,
2
(
7
), p.
1197
. 10.1007/s42452-020-2995-6
15.
Hibbitt, Karlsson and Sorensen
,
2017
,
ABAQUS User's Manual and Theory Manual
,
Simulia
,
Providence, RI
.
16.
Zhang
,
H.
, and
Etsion
,
I.
,
2020
, “
A Coupled Eulerian-Lagrangian Model for Sliding Inception of Elastic-Plastic Spherical Contact
,”
ASME J. Tribol.
,
143
(
1
), p.
014501
. 10.1115/1.4047587
17.
Brizmer
,
V.
,
Kligerman
,
Y.
, and
Etsion
,
I.
,
2007
, “
Elastic–Plastic Spherical Contact Under Combined Normal and Tangential Loading in Full Stick
,”
Tribol. Lett.
,
25
(
1
), pp.
61
70
. 10.1007/s11249-006-9156-y
18.
Tabor
,
D.
,
1959
, “
Junction Growth in Metallic Friction: the Role of Combined Stresses and Surface Contamination
,”
Proc. R. Soc. London Ser. A-Math. Phys. Eng. Sci.
,
251
(
1266
), pp.
378
393
.
19.
Rabinowicz
,
E.
,
1965
,
Friction and Wear of Materials
,
Wiley
,
New York
.
20.
Epifanov
,
G.
, and
Sanzharovskii
,
A.
,
1962
, “
Determining the True Friction Area
,”
Frict. Wear Mach.
,
15
(
1
), pp.
229
247
.
21.
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
(
11–12
), pp.
1043
1050
. 10.1016/j.wear.2007.08.009
22.
Yu
,
H.
,
1998
, “
A New Dislocation-Like Model for Imperfect Interfaces and Their Effect on Load Transfer
,”
Compos. Part A: Appl. Sci. Manuf.
,
29
(
9–10
), pp.
1057
1062
. 10.1016/S1359-835X(98)00010-4
23.
Kelly
,
A.
, and
Macmillan
,
N. H.
,
1986
,
Strong Solids
,
Oxford University Press
,
Oxford, UK
.
24.
Vakis
,
A. I.
,
Yastrebov
,
V. A.
,
Scheibert
,
J.
,
Nicola
,
L.
,
Dini
,
D.
,
Minfray
,
C.
,
Almqvist
,
A.
,
Paggi
,
M.
,
Lee
,
S.
,
Limbert
,
G.
,
Molinari
,
J. F.
,
Anciaux
,
G.
,
Aghababaei
,
R.
,
Echeverri Restrepo
,
S.
,
Papangelo
,
A.
,
Cammarata
,
A.
,
Nicolini
,
P.
,
Putignano
,
C.
,
Carbone
,
G.
,
Stupkiewicz
,
S.
,
Lengiewicz
,
J.
,
Costagliola
,
G.
,
Bosia
,
F.
,
Guarino
,
R.
,
Pugno
,
N. M.
,
Müser
,
M. H.
, and
Ciavarella
,
M.
,
2018
, “
Modeling and Simulation in Tribology Across Scales: An Overview
,”
Tribol. Int.
,
125
(
9
), pp.
169
199
. 10.1016/j.triboint.2018.02.005
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