Determining the temperature rise of contact interfaces subject to surface heating is essential to controlling thermally induced failures in manufacturing processes and tribology. This paper provides a summary of solutions to problems of a stationary/moving half-space or half-plane without/with surface convection. In the first two sections, basic formulations for bodies with negligible surface convection are grouped as explicitly and completely as possible in terms of the Green’s function, the influence coefficients, and the frequency response function. In the final section, the influence coefficients are applied to solve surface-heating problems with surface convection. The time required to reach approximately steady state is found for bodies subject to a unit heat flux. The effect of convection is found to be dependent on the Pe´clet number and location.

1.
Komanduri
,
R.
, and
Hou
,
Z. B.
,
2001
, “
Thermal Modeling of the Metal Cutting Process, Part II—Temperature Rise Distribution Due to Frictional Heat Source at the Tool-Chip Interface
,”
Int. J. Mech. Sci.
,
43
, pp.
57
88
.
2.
Cowan, R. S., and Winer, W. O., 1992, “Frictional Heating Calculations,” ASM Handbook, Vol. 18: Friction, Lubrication, and Wear Technology, ASM International, pp. 39–44.
3.
Kennedy
,
F. E.
,
1984
, “
Thermal and Thermomechanical Effects in Dry Sliding
,”
Wear
,
100
, pp.
453
476
.
4.
Blok, H., 1937, “Theoretical Study of Temperature Rise at Surfaces of Actual Contact Under Oiliness Lubricating Conditions,” Proc. General Discussion on Lubrication and Lubricants, Institute of Mechanical Engineers, London, pp. 222–235.
5.
Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, Oxford University Press, London.
6.
Muzychka
,
Y. S.
, and
Yovanovich
,
M. M.
,
2001
, “
Thermal Resistance Models for Non-Circular Moving Heat Sources on a Half Space
,”
ASME J. Heat Transfer
,
123
, pp.
624
632
.
7.
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
, pp.
1679
1698
.
8.
Beck, J. V., Cole, K., Haji-Sheikh, A., and Litkouhi, B., 1992, Heat Conduction Using Green’s Functions, Hemisphere, Washington, DC.
9.
Ling, F. F., Lai, W. M., and Lucca, D. A., 2002, Fundamentals of Surface Mechanics, With Applications, Springer-Verlag, New York.
10.
Campbell, G. A., and Foster, R. M., 1931, Fourier Integrals for Practical Applications, Bell Telephone Laboratories, New York.
11.
Tichy
,
J.
,
1991
, “
Closed-Form Expression for Temperature in a Semi-Infinite Solid Due to a Fast Moving Surface Heat Source
,”
ASME J. Tribol.
,
113
, pp.
828
831
.
12.
Liu
,
S.
,
Wang
,
Q.
,
Rodgers
,
M.
,
Keer
,
L.
, and
Cheng
,
H. S.
,
2002
, “
Temperature Distributions and Thermoelastic Displacements in Moving Bodies
,”
Comput. Model. Eng. Sci.
,
3
(
4
), pp.
465
482
.
13.
Fischer
,
F. D.
,
Werner
,
E.
, and
Knothe
,
K.
,
2000
, “
The Surface Temperature of Half-Plane Subjected to Rolling/Sliding Contact with Convection
,”
ASME J. Tribol.
,
122
, pp.
864
866
.
14.
Liu
,
S. B.
,
Wang
,
Q.
, and
Liu
,
G.
,
2000
, “
A Versatile Method of Discrete Convolution and FFT (DC-FFT) for Contact Analyses
,”
Wear
,
243, pp.
101
110
.
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