A New thermal elastoplastic contact conductance model for isotropic conforming rough surfaces is proposed. This model is based on surface and thermal models used in the Cooper, Mikic, and Yovanovich plastic model, but it differs in the deformation aspects of the thermal contact conductance model. The model incorporates the recently developed simple elastoplastic model for sphere-flat contacts, and it covers the entire range of material behavior, i.e., elastic, elastoplastic, and fully plastic deformation. Previously data were either compared with the elastic model or the plastic model assuming a type of deformation a priori. The model is used to reduce previously obtained isotropic contact conductance data, which cover a wide range of surface characteristics and material properties. For the first time data can be compared with both the elastic and plastic models on the same plot. This model explains the observed discrepancies noted by previous workers between data and the predictions of the elastic or plastic models.

1.
Aikawa
T.
, and
Winer
W. O.
,
1994
, “
Thermal Contact Conductance Across Si3N4–Si3N4 Contact
,”
Wear
, Vol.
177
, pp.
25
32
.
2.
Antonetti, V. W., 1983, “On the Use of Metallic Coatings to Enhance Thermal Contact Conductance,” Ph.D. Thesis, University of Waterloo, Canada.
3.
Bush
A. W.
,
Gibson
R. D.
, and
Thomas
T. R.
,
1975
, “
The Elastic Contact of a Rough Surface
,”
Wear
, Vol.
35
, pp.
87
111
.
4.
Chang
W. R.
,
Etsion
I.
, and
Bogy
D. B.
,
1987
, “
An Elastic-Plastic Model for the Contact of Rough Surfaces
,”
ASME Journal of Tribology
, Vol.
109
, pp.
257
263
.
5.
Churchill
S. W.
, and
Usagi
R.
,
1972
, “
A General Expression for the Correlations of Rates and Other Phenomena
,”
AIChE Journal
, Vol.
18
, pp.
1121
1132
.
6.
Cooper
M. G.
,
Mikic
B. B.
, and
Yovanovich
M. M.
,
1969
, “
Thermal Contact Conductance
,”
Int. J. Heat Mass Transfer
, Vol.
12
, pp.
279
300
.
7.
Foss
F. E.
, and
Brumfield
R. C.
,
1922
, “
Some Measurements of the Shape of Brinell Ball Indentation
,”
Proceedings ASTM
, Vol.
22
, p.
312
312
.
8.
Greenwood, J. A., and Williamson, J. B. P., 1966, “Contact of Nominally Flat Surfaces,” Proc. Roy. Soc. Lond., A295, pp. 300–319.
9.
Hegazy, A. A., 1985, “Thermal Joint Conductance of Conforming Rough Surfaces,” Ph.D. Thesis, University of Waterloo, Canada.
10.
Ishigaki
H.
,
Kawaguchi
I.
, and
Mizuta
S.
,
1979
, “
A Simple Estimation of the Elastic-Plastic Deformation of Contacting Asperities
,”
Wear
, Vol.
54
, pp.
157
164
.
11.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, United Kingdom.
12.
Maddren, J., 1994, “Thermal Contact Resistance of Bolted Joints at Cryogenic Temperatures,” Ph.D. Thesis, University of California, Santa Barbara.
13.
Majumdar
A.
, and
Bhushan
B.
,
1991
, “
Fractal Model of Elastic-Plastic Contact Between Rough Surfaces
,”
ASME Journal of Tribology
, Vol.
113
, pp.
1
11
.
14.
McWaid, T. H., 1990, “Thermal Contact Resistance Across Pressed Metal Contact in a Vacuum Environment,” Ph.D. Thesis, University of California, Santa Barbara.
15.
Mikic
B. B.
,
1974
, “
Thermal Contact Conductance; Theoretical Considerations
,”
Int. J. Heat Mass Transfer
, Vol.
17
, pp.
205
214
.
16.
Mikic, B. B., and Roca, R. T., 1993, “On Elastic Deformation of Rough Surfaces in Contact,” personal communication from B. B. Mikic to M. M. Yovanovich.
17.
Mathematica, 1988–91, A System for Doing Mathematics by Computer, Version 2.2 for DOS, Wolfram Research, Inc., Champaign, IL.
18.
Nho, K. M., 1990, “Experimental Investigation of Heat Flow Rate and Directional Effect on Contact Conductance of Anisotropic Ground/Lapped Interfaces,” Ph.D. Thesis, University of Waterloo, Canada.
19.
Sridhar
M. R.
, and
Yovanovich
M. M.
,
1994
, “
Review of Elastic and Plastic Contact Conductance Models: Comparison With Experiment
,”
Journal of Thermophysics and Heat Transfer
, Vol.
8
, No.
4
, Oct.–Dec., pp.
633
640
.
20.
Sridhar, M. R., 1994, “Elastoplastic Contact Models for Sphere-Flat and Conforming Rough Surface Applications,” Ph.D. Thesis, University of Waterloo, Canada.
21.
Tabor, D., 1951, The Hardness of Metals, Oxford University Press, London.
22.
Whitehouse
D. J.
, and
Archard
J. F.
,
1970
, “
The Properties of Random Surfaces of Significance in their Contact
,”
Proc. Roy. Soc. Lond.
, Vol.
A316
, pp.
97
121
.
23.
Yovanovich, M. M., 1982, “Thermal Contact Correlations, Spacecraft Radiative Transfer and Temperature Control,” T. E. Horton, ed., Vol. 83 of Progress in Astronautics and Aeronautics, New York.
24.
Yovanovich, M. M., Hegazy, A. A., and De Vaal, J., 1982, “Surface Hardness Distribution Effects Upon Contact, Gap and Joint Conductances,” AIAA Paper No. 82-0887.
25.
Yovanovich, M. M., Hegazy, A. A., and Antonetti, V. W., 1983, “Experimental Verification of Contact Conductance Models Based Upon Distributed Surface Micro-hardness,” AIAA Paper No. 83-0532.
26.
Yovanovich, M. M., and Hegazy, A. A., 1983, “An Accurate Universal Contact Conductance Correlation for Conforming Rough Surfaces With Different Micro-hardness Profiles,” AIAA Paper No. 83-1434.
This content is only available via PDF.
You do not currently have access to this content.