Abstract

The flash temperature in the sliding frictional contact between micro-asperities has an important influence on the frictional characteristics of advanced functional ceramics. In this paper, the elastic sliding frictional contact of a three-dimensional micron/submicron scale asperity pair is considered. A three-dimensional finite element model (FEM) for fully coupled thermal-stress analysis of sliding contact of SiC/Al2O3 asperity pair is developed. An empirical correction factor for contact characteristics is obtained based on the FEM results. The FEM results show that, compared with the Hertz theoretical solution, the contact area becomes smaller and the contact pressure becomes larger in the case of sliding contact with large deformation. The flash temperature has a negative correlation with the composite radius of the asperity pair and a positive correlation with the interference depth and sliding speed. Using Hertz theory, a parabolic distributed heat source, the Fourier heat conduction law, and the newly proposed correction factor, a semi-analytical model of flash temperature during the elastic frictional sliding between two single asperities is established. The relative difference between the flash temperature predicted by the established semi-analytical model and the FEM model is less than 1.2%. The relative difference decreases with the increasing interference depth. This work is a valuable reference for studying the frictional heat-related issues of advanced ceramics.

References

1.
Haldar
,
P.
,
Bhattacharya
,
T. K.
, and
Modak
,
N.
,
2022
, “
Tribological Behavior of Alumina Ceramics With Nano-TiO2 as a Sintering Aid in Non-Conformal Contact
,”
ASME J. Tribol.
,
144
(
6
), p.
061703
.
2.
Huang
,
J. L.
,
Dai
,
Q. W.
,
Jin
,
G. H.
,
Huang
,
W.
, and
Wang
,
X. L.
,
2020
, “
Water Lubrication of Ni/Al2O3 Composite Coatings Sliding With Si3N4
,”
ASME J. Tribol.
,
142
(
10
), p.
104501
.
3.
Yuan
,
J. L.
,
2000
,
Ultraprecision Machining of Functional Ceramics
,
Harbin Institute of Technology Press
,
Harbin, China
.
4.
Blomberg
,
A.
,
Hogmark
,
S.
, and
Lu
,
J.
,
1993
, “
An Electron Microscopy Study of Worn Ceramic Surfaces
,”
Tribol. Int.
,
26
(
6
), pp.
369
381
.
5.
Blok
,
H.
,
1937
, “
Theoretical Studies of Temperature Rise at Surfaces of Actual Contact Under Oiliness Lubrication Conditions
,”
Inst. Mech. Eng.
,
2
, pp.
222
235
.
6.
Jaeger
,
J. C.
,
1942
, “
Moving Sources of Heat and the Temperature of Sliding Contacts
,”
J Proc. Roy. Soc. New South Wales
,
76
(
3
), pp.
203
224
.
7.
Archard
,
J. F.
,
1959
, “
The Temperature of Rubbing Surfaces
,”
Wear
,
2
(
6
), pp.
438
455
.
8.
Tian
,
X.
, and
Kennedy
,
F. E.
,
1994
, “
Maximum and Average Flash Temperatures in Sliding Contacts
,”
ASME J. Tribol.
,
116
(
1
), pp.
167
174
.
9.
Kennedy
,
F. E.
, and
Tian
,
X.
,
2016
, “
Modeling Sliding Contact Temperatures, Including Effects of Surface Roughness and Convection
,”
ASME J. Tribol.
,
138
(
4
), p.
042101
.
10.
Kalin
,
M.
, and
Vižintin
,
J.
,
2001
, “
Comparison of Different Theoretical Models for Flash Temperature Calculation Under Fretting Conditions
,”
Tribol. Int.
,
34
(
12
), pp.
831
839
.
11.
Liu
,
Y.
, and
Barber
,
J. R.
,
2014
, “
Transient Heat Conduction Between Rough Sliding Surfaces
,”
Tribol. Lett.
,
55
(
1
), pp.
23
33
.
12.
Lee
,
Y.
,
Liu
,
Y.
,
Barber
,
J. R.
, and
Jang
,
Y. H.
,
2016
, “
Thermal Considerations During Transient Asperity Contact
,”
Tribol. Int.
,
94
, pp.
87
91
.
13.
Tang
,
R.
,
Hu
,
C. L.
, and
Zhao
,
Z.
,
2017
, “
An Elastic-Plastic Heat Transfer Model of Two Asperities Contact Under Consideration of Shoulder-Shoulder Contact and Tangential Sliding
,”
J. Shanghai Jiaotong Univ.
,
51
(
5
), pp.
520
525
.
14.
Zhu
,
C.
,
Gu
,
P.
,
Wu
,
Y.
, and
Tao
,
Z.
,
2020
, “
Grinding Temperature Prediction Model of High-Volume Fraction SiCp/Al Composite
,”
Int. J. Adv. Manuf. Technol.
,
111
(
5–6
), pp.
1101
1120
.
15.
Nosko
,
O.
,
Nagamine
,
T.
,
Nosko
,
A. L.
,
Romashko
,
A. M.
,
Mori
,
H.
, and
Sato
,
Y.
,
2015
, “
Measurement of Temperature at Sliding Polymer Surface by Grindable Thermocouples
,”
Tribol. Int.
,
88
, pp.
100
106
.
16.
Quinn
,
T. F. J.
, and
Winer
,
W. O.
,
1985
, “
The Thermal Aspects of Oxidational Wear
,”
Wear
,
102
(
1–2
), pp.
67
80
.
17.
Bowden
,
F. P.
, and
Tabor
,
D.
,
1988
,
The Friction and Lubrication of Solids
,
Oxford University Press
,
Oxford, UK
.
18.
Gao
,
J.
,
Lee
,
S. C.
,
Ai
,
X.
, and
Nixon
,
H.
,
2000
, “
An FFT-Based Transient Flash Temperature Model for General Three-Dimensional Rough Surface Contacts
,”
ASME J. Tribol.
,
122
(
3
), pp.
519
523
.
19.
Jackson
,
R. L.
, and
Green
,
I.
,
2008
, “
The Thermoelastic Behavior of Thrust Washer Bearings Considering Mixed Lubrication, Asperity Contact, and Thermoviscous Effects
,”
Tribol. Trans.
,
51
(
1
), pp.
19
32
.
20.
Jackson
,
R. L.
, and
Green
,
I.
,
2006
, “
A Statistical Model of Elasto-Plastic Asperity Contact Between Rough Surfaces
,”
Tribol. Int.
,
39
(
9
), pp.
906
914
.
21.
Smith
,
E. H.
, and
Arnell
,
R. D.
,
2014
, “
The Prediction of Frictional Temperature Increases in Dry, Sliding Contacts Between Different Materials
,”
Tribol. Lett.
,
55
(
2
), pp.
315
328
.
22.
Luo
,
H. R.
, and
Gao
,
C. H.
,
2014
, “
FEA of Thermo-Mechanical Couple of Sliding Friction Between Dual Fractal Surfaces
,”
Mach. Build. Autom.
,
3
, pp.
141
145
.
23.
Xu
,
H.
,
He
,
T.
,
Zhong
,
N.
,
Zhao
,
B.
, and
Liu
,
Z.
,
2022
, “
Transient Thermomechanical Analysis of Micro Cylindrical Asperity Sliding Contact of SnSbCu Alloy
,”
Tribol. Int.
,
167
, p.
107362
.
24.
Ghaednia
,
H.
,
Wang
,
X.
,
Saha
,
S.
,
Xu
,
Y.
,
Sharma
,
A.
, and
Jackson
,
R. L.
,
2017
, “
A Review of Elastic–Plastic Contact Mechanics
,”
ASME Appl. Mech. Rev.
,
69
(
6
), p.
060804
.
25.
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
(
1–2
), pp.
114
122
.
26.
Jackson
,
R. L.
,
Duvvuru
,
R. S.
,
Meghani
,
H.
, and
Mahajan
,
M.
,
2007
, “
An Analysis of Elasto-Plastic Sliding Spherical Asperity Interaction
,”
Wear
,
262
(
1
), pp.
210
219
.
27.
Zhao
,
B.
,
Zhang
,
S.
, and
Keer
,
L. M.
,
2016
, “
Semi-Analytical and Numerical Analysis of Sliding Asperity Interaction for Power-Law Hardening Materials
,”
Wear
,
364–365
, pp.
184
192
.
28.
Mulvihill
,
D. M.
,
Kartal
,
M. E.
,
Nowell
,
D.
, and
Hills
,
D. A.
,
2011
, “
An Elastic–Plastic Asperity Interaction Model for Sliding Friction
,”
Tribol. Int.
,
44
(
12
), pp.
1679
1694
.
29.
Shi
,
X.
,
Zou
,
Y.
, and
Fang
,
H.
,
2016
, “
Numerical Investigation of the Three-Dimensional Elastic–Plastic Sloped Contact Between Two Hemispheric Asperities
,”
ASME J. Appl. Mech.
,
83
(
10
), p.
101004
.
30.
Zhang
,
S.
,
Song
,
H.
,
Sandfeld
,
S.
,
Liu
,
X.
, and
Wei
,
Y. G.
,
2019
, “
Discrete Greenwood–Williamson Modeling of Rough Surface Contact Accounting for Three Dimensional Sinusoidal Asperities and Asperity Interaction
,”
ASME J. Tribol.
,
141
(
12
), p.
121401
.
31.
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
.
32.
Wu
,
C. E.
,
Lin
,
K. H.
, and
Juang
,
J. Y.
,
2016
, “
Hertzian Load–Displacement Relation Holds for Spherical Indentation on Soft Elastic Solids Undergoing Large Deformations
,”
Tribol. Int.
,
97
, pp.
71
76
.
33.
Li
,
H.
,
Saigal
,
S.
, and
Wang
,
P. T.
,
1996
, “
A Solution for the Contact Between Two Spherical Particles Undergoing Large Deformation
,”
Acta Mater.
,
44
(
7
), pp.
2591
2598
.
34.
Sneddon
,
I. N.
,
1965
, “
The Relation Between Load and Penetration in the Axisymmetric Boussinesq Problem for a Punch of Arbitrary Profile
,”
Int. J. Eng. Sci.
,
3
(
1
), pp.
47
57
.
35.
Maugis
,
D.
,
1995
, “
Extension of the Johnson-Kendall-Roberts Theory of the Elastic Contact of Spheres to Large Contact Radii
,”
Langmuir
,
11
(
2
), pp.
679
682
.
36.
Tatara
,
Y.
,
1991
, “
On Compression of Rubber Elastic Sphere Over a Large Range of Displacements—Part 1: Theoretical Study
,”
ASME J. Eng. Mater. Technol.
,
113
(
3
), pp.
292
295
.
37.
Wang
,
Z.
, and
Liu
,
X.
,
2018
, “
Adhesion of Large-Deformation Elastic Spherical Contact
,”
Tribol. Int.
,
119
, pp.
559
566
.
38.
Popov
,
V. L.
,
2010
,
Contact Mechanics and Friction
,
Springer Berlin
, Heidelberg, Berlin
.
39.
Johnson
,
K. L.
,
1987
,
Contact Mechanics
,
Cambridge University Press
,
Cambridge, UK
.
40.
Carslaw
,
H. S.
,
1921
,
Introduction to the Mathematical Theory of the Conduction of Heat in Solids
,
Macmillan Publishers Ltd
,
London
.
41.
Hou
,
Z. B.
, and
Komanduri
,
R.
,
2000
, “
General Solutions for Stationary/Moving Plane Heat Source Problems in Manufacturing and Tribology
,”
Int. J. Heat Mass Transfer
,
43
(
10
), pp.
1679
1698
.
42.
Ling
,
F. F.
,
Lai
,
W. M.
, and
Lucca
,
D. A.
,
2002
,
Fundamentals of Surface Mechanics With Applications
,
Springer
,
New York
.
43.
Zhang
,
W.
,
Chen
,
X. Y.
,
Yamashita
,
S.
,
Kubota
,
M.
, and
Kita
,
H.
,
2022
, “
Frictional Characteristics of Carbide Ceramics in Water
,”
ASME J. Tribol.
,
144
(
1
), p.
011702
.
44.
Wei
,
R.
,
Sheng
,
S.
, and
Yang
,
K.
,
2013
, “
Thermal Conductivity of 4H-SiC Single Crystals
,”
J. Appl. Phys.
,
113
(
5
), p.
053503
.
45.
Shi
,
C. J.
,
Zhang
,
L. H.
,
Hong
,
J. Q.
,
Zhang
,
F. F.
, and
Hang
,
Y.
,
2015
, “
Study of Thermal Properties of Sapphire Crystal
,”
J. Synth. Cryst.
,
44
(
10
), pp.
2652
2657
.
46.
Kimoto
,
T.
, and
Cooper
,
J. A.
,
2014
,
Fundamentals of Silicon Carbide Technology
,
Wiley-IEEE Press
,
Hoboken, NJ
.
47.
Zaharinie
,
T.
,
Moshwan
,
R.
,
Yusof
,
F.
,
Hamdi
,
M.
, and
Ariga
,
T.
,
2014
, “
Vacuum Brazing of Sapphire With Inconel 600 Using Cu/Ni Porous Composite Interlayer for Gas Pressure Sensor Application
,”
Mater. Des.
,
54
, pp.
375
381
.
48.
Rakshit
,
R.
, and
Das
,
A. K.
,
2019
, “
A Review on Cutting of Industrial Ceramic Materials
,”
Precis. Eng.
,
59
, pp.
90
109
.
49.
Fiore
,
D. F.
,
2002
, “
High Strength Diffusion Bonding of Sapphire
,”
Master’s thesis
,
Worcester Polytechnic Institute
,
Worcester, MA
.
50.
Li
,
Z.
, and
Bradt
,
R. C.
,
1986
, “
Thermal Expansion of the Hexagonal (4H) Polytype of SiC
,”
J. Appl. Phys.
,
60
(
2
), pp.
612
614
.
51.
Hitova
,
L.
,
Yakimova
,
R.
,
Trifonova
,
E. P.
,
Lenchev
,
A.
, and
Janzen
,
E.
,
2000
, “
Heat Capacity of 4H-SiC Determined by Differential Scanning Calorimetry
,”
J. Electrochem. Soc.
,
147
(
9
), pp.
3546
3547
.
52.
Wäsche
,
R.
,
Klaffke
,
D.
, and
Troczynski
,
T.
,
2004
, “
Tribological Performance of SiC and TiB2 Against SiC and Al2O3 at Low Sliding Speeds
,”
Wear
,
256
(
7–8
), pp.
695
704
.
53.
Abdel-Aal
,
H. A.
,
2013
, “Flash Temperature Theory,”
Encyclopedia of Tribology
,
Q. J.
Wang
, and
Y. W.
Chung
, eds.,
Springer-Verlag
,
New York
, p.
1187
.
54.
Xian
,
L.
,
Qin
,
L.
, and
Zheng
,
L. Q.
,
1992
, “
Investigation of Real Contact Area Through the Application of Total Reflection Method and Image Process Technique
,”
Tribology
,
12
(
2
), pp.
110
115
.
55.
Zhang
,
H. B.
,
Wang
,
W. Z.
,
Zhang
,
S. G.
, and
Zhao
,
Z. Q.
,
2018
, “
Semi-Analytic Solution of Three-Dimensional Temperature Distribution in Multilayered Materials Based on Explicit Frequency Response Functions
,”
Int. J. Heat Mass Transfer
,
118
, pp.
208
222
.
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