The velocity, normal pressure, and slider size dependence of the coefficient of dry friction of metals in the range of high sliding velocities (V ≥ 1 m/s) is investigated theoretically. Failure of the adhesive junctions by adiabatic shear banding is considered as the underlying process. The concept of asperity shearing by the adiabatic shear banding mechanism represents a new approach to unlubricated high velocity friction. Analytical solutions of a coupled thermomechanical problem are given for two constitutive relations. Numerical solutions for steel-on-steel friction showing a decrease of the coefficient of friction with the sliding velocity for different normal pressures are presented. The model is considered to be adequate in the velocity range of 1–10 m/s where friction enhanced oxidation or surface melting are believed not to interfere with the asperity shearing process.

1.
Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, 2nd edition, Clarendon Press, Oxford.
2.
Clifton
R. J.
,
Duffy
J.
,
Hartley
K. A.
, and
Shawki
T. G.
,
1984
,
Scripta metallurgica
, Vol.
18
, pp.
443
448
.
3.
Gradshtein, I. S., and Ryzhik, I. M., 1971 Tables of Integrals, Sums, Series and Products, Nauka Publishers, Moscow.
4.
Heilmann
P.
, and
Rigney
D. A.
,
1981
, “
An Energy-Based Friction Model and Its Application to Coated Systems
,”
Wear
, Vol.
72
, pp.
125
270
.
5.
Jaeger
J. C.
,
1942
, “
Moving Sources of Heat and the Temperature at Sliding Contacts
,”
Proceedings of the Royal Society of NSW
, Vol.
76
, pp.
203
224
.
6.
Kocks
U. F.
,
1976
, “
Laws for Work-Hardening and Low Temperature Creep
,”
ASME Journal Of Engineering Materials And Technology
, Vol.
98
, pp.
76
85
.
7.
Lim
S. C.
, and
Ashby
M. F.
,
1987
, “
Wear-Mechanism Maps
,”
Acta Metallurgica
, Vol.
35
, pp.
1
24
.
8.
Lim
S. C.
,
Ashby
M. F.
, and
Brunton
J. H.
,
1989
, “
The Effect of Sliding Conditions on the Dry Friction of Metals
,”
Acta Metallurgica
, Vol.
37
, pp.
767
772
.
9.
Molinari
A.
, and
Clifton
R. J.
,
1987
, “
Analytical Characterization of Shear Localisation in Thermoviscoplastic Materials
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
54
, pp.
806
821
.
10.
Molinari
A.
,
1988
, “
Shear Band Analysis
,”
Solid State Phenomena
, Vol.
3–4
, pp.
447
468
.
11.
Nesterenko, V. F., Meyers, M. A., and Wright, T. W., 1995, Metallurgical and Materials Applications of Shock-Wave and High-Strain-Rate Phenomena, L. E. Murr, K. P. Staudhammer and M. A. Meyers, eds., Elsevier Science B. V., pp. 397–402.
12.
Rigney
D. A.
, and
Hirth
J. P.
,
1979
, “
Plastic Deformation and Sliding Friction and Wear
,”
Wear
, Vol.
53
, pp.
345
370
.
13.
Taylor
G. I.
, and
Quinney
H.
,
1934
, “
Latent Energy Remaining in a Metal after Cold Working
,”
Proc. Roy. Soc. (London)
, Vol.
A143
, pp.
307
326
.
14.
Wang, X. J., and Rigney, D. A., 1995, “Recent Progress in Modeling Friction of Ductile Materials,” Proc. Intl. Tribology Conf., Yokohama, Japan, pp. 85–90.
15.
Zhang
J.
,
Moslehy
F. A.
, and
Rice
S. L.
,
1991
, “
A Model of Friction in Quasi-Steady-State Sliding
,” Parts I and II,
Wear
, Vol.
149
, pp.
1
12
.
This content is only available via PDF.
You do not currently have access to this content.