The objectives of this paper are to develop a means to estimate the real area of contact in sliding systems using thermal measurements and to provide experimental design guidance for optimal sensor locations. The methods used are a modified cellular automata technique for the direct model and a Levenberg–Marquardt parameter estimation technique to stabilize inverse solutions. The modified cellular automata technique enables each piece of physics to be solved independently over a short time step, thus reducing a complicated model to a sequence of simpler problems. Overall, the method proved successful. The major results indicate that appropriately selected measurement locations can determine the contact distribution accurately. The best measurement location is found to be just downstream of the nominal contact zone in the moving body. This is significant since direct access to the contact zone is usually impossible. Results show that it is best to locate a sensor in the moving body. However, placing the sensor in the static body can also provide a reasonable image of the contact distribution. This is useful because the static body is easier to instrument than a moving body. Finally, the estimation method worked well for the most complex model utilized, even in a suboptimal measurement location

1.
Vick
,
B.
,
Furey
,
M. J.
,
and Iskandar
,
K.
, 1998, “
Surface Temperatures and Tribological Behavior of Pure Metallic Elements
,”
Proceedings of Fifth International Tribology Conference—Austrib’98, Brisbane, Australia
, Dec. 6–9, pp.
491
496
.
2.
Furey
,
M. J.
,
Vick
,
B.
,
Ghasemi
,
H. M. R.
, and
Bohn
,
J. H.
, 2007, “
Coalescence and Breakup of Contact Areas: Effects of Surface Temperatures
,”
Tribol. Int.
,
40
(
4
), pp.
595
600
.
3.
Archard
,
J.
, 1958/1959, “
Temperature of Rubbing Surfaces
,”
Wear
,
2
(
6
), pp.
438
455
.
4.
Jaeger
,
J.
, 1942, “
Moving Sources of Heat and Temperature at Sliding Contacts
,”
J. Proc. R. Soc. N. S. W.
,
76
, pp.
203
224
.
5.
Kennedy
,
F.
, 1984, “
Thermal and Thermomechanical Effects in Dry Sliding
,”
Wear
,
100
(
1–3
), pp.
453
476
.
6.
Tian
,
X.
, and
Kennedy
,
F.
, 1994, “
Maximum and Average Flash Temperatures in Sliding Contacts
,”
ASME J. Tribol.
,
116
(
1
), pp.
167
174
.
7.
Wen
,
J.
, and
Khonsari
,
M.
, 2007, “
Transient Temperature Involving Oscillatory Heat Source With Application in Fretting Contact
,”
ASME J. Tribol.
,
129
(
3
), pp.
517
527
.
8.
Mansouri
,
M.
, and
Khonsari
,
M.
, 2005, “
Surface Temperatures in Oscillating Sliding Interfaces
,”
ASME J. Tribol.
,
127
(
1
), pp.
1
9
.
9.
Vick
,
B.
, and
Furey
,
M. J.
, 2001, “
A Basic Theoretical Study of the Temperature Rise in Sliding Contact With Multiple Contacts
,”
Tribol. Int.
,
34
(
12
), pp.
823
829
.
10.
Vick
,
B.
, and
Furey
,
M.
, 2005, “
Thermal Analysis of Sliding Contact in Systems With Rotary Motion
,” WTC2005–63673,
Proceedings of WTC2005, World Tribology Conference III
, Sept. 12–16,
Washington, DC
.
11.
Kimura
,
Y.
, 1970, “
Estimation of the Number and the Mean Area of Real Contact Points on the Basis of Surface Profles
,”
Wear
,
15
(
1
), pp.
47
55
.
12.
Loulou
,
T.
,
Scott
,
E. P.
, and
Vick
,
B.
, 2002, “
Estimation of the Thermal Properties and Interface Conditions of Heterogeneous Materials
,” IMECE2002–3243,
Proceedings of the ASME, IMECE’02
,
New Orleans, LA
.
13.
Wang
,
S.
, 2004, “
Real Contact Area of Fractal-Regular Surfaces and Its Implications in the Law of Friction
,”
ASME J. Tribol.
,
126
(
1
), pp.
1
8
.
14.
Tsung
,
C. C.
,
Liu
,
C. C.
,
Jang
,
H. Y.
, and
Tuan
,
P. C.
, 2007, “
Inverse Estimation of Heat Flux and Temperature in Multi-Layer Gun Barrel
,”
Int. J. Heat Mass Transfer
,
50
(
11–12
), pp.
2060
2068
.
15.
Yan
,
W.
, and
Komvopoulos
,
K.
, 1998, “
Contact Analysis of Elastic-Plastic Fractal Surfaces
,”
J. Appl. Phys.
,
84
(
7
), pp.
3617
3624
.
16.
Guo
,
C.
, and
Malkin
,
S.
, 1996, “
Inverse Heat Transfer Analysis of Grinding, Part 1: Methods
,”
J. Eng. Ind.
,
118
(
1
), pp.
137
142
.
17.
Guo
,
C.
, and
Malkin
,
S.
, 1996, “
Inverse Heat Transfer Analysis of Grinding, Part 2: Applications
,”
J. Eng. Ind.
,
118
(
1
), pp.
143
149
.
18.
Wang
,
C. C.
, and
Chen
,
C. K.
, 2002, “
Three-Dimensional Inverse Heat Transfer Analysis During the Grinding Process
,”
Proc. Inst. Mech. Eng.,Part C: J. Mech. Eng. Sci.
,
216
(
2
), pp.
199
212
.
19.
Powell
,
W.
, and
Price
,
T.
, 1964, “
A Method for Determination of Local Heat Flux from Transient Temperature Measurements
,”
Instrum. Soc. Am.
,
3
(
3
), pp.
246
254
.
20.
Özisik
,
M.
, and
Orlande
,
H.
, 2000,
Inverse Heat Transfer: Fundamentals and Applications
,
Taylor & Francis
,
New York
, Chap. 2.
21.
Beck
,
J.
,
Blackwell
,
B.
, and
St. Clair
,
C.
, 1985,
Inverse Heat Conduction: Ill-Posed Problems
,
John Wiley & Sons, Inc.
,
New York
, Chap. 4.
22.
Raynaud
,
M.
, and
Beck
,
J.
, 1985, “
Methodology for Comparison of Inverse Heat Conduction Methods
,” 85-WA/HT –40,
ASME Winter Annual Meeting
,
Miami Beach, FL
.
23.
Loulou
,
T.
, 2007, “
Combined Parameter and Function Estimation With Application to Thermal Conductivity and Surface Heat Flux
,”
ASME J. Heat Transfer
,
129
(
10
), pp.
1309
1320
.
24.
Weber
,
C.
1981, “
Analysis and Solution of the Ill-Posed Inverse Heat Conduction Problem
,”
Int. J. Heat Mass Transfer
,
24
(
11
), pp.
1783
1792
.
25.
Incropera
,
F.
,
DeWitt
,
D.
,
Bergman
,
T.
, and
Lavine
,
A.
, 2007,
Fundamentals of Heat and Mass Transfer
, 6th ed.,
John Wiley & Sons
,
New York
, Chap. 5.
26.
Manca
,
O.
,
Morrone
,
B.
, and
Nardini
,
S.
, 1999, “
Thermal Analysis of Solids at High Peclet Numbers Subjected to Moving Heat Sources
,”
ASME J. Heat Transfer
,
121
(
1
), pp.
182
186
.
27.
Vick
,
B.
, 2007, “
Multi-Physics Modeling Using Cellular Automata
,”
Complex Syst.
,
17
(
1–2
), pp.
65
78
.
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