Hysteresis Sliding Friction of Rubber—Finite Element Analysis
Publication: Journal of Engineering Mechanics
Volume 116, Issue 1
Abstract
A viscoelastic finite element contact analysis that predicts the hysteretic friction between a sliding rubber block and equally spaced triangular asperities is briefly described. Comparison of analytical results with experimentally measured friction values shows that the finite element analysis can be successfully applied to contact problems. The analysis is used to study the influence of sliding speed, contact pressure, and asperity geometry on hysteresis friction. Results show that the pressure dependence of friction is influenced by the amount of contact of rubber with the asperity. The coefficient of hysteresis friction increases with increasing speed to a maximum value and then decreases with further increase in speed. The coefficient of friction very much depends on the geometry of the asperity. Finally, the application of this procedure to study the road/tire interaction problems is discussed.
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References
1.
Bowden, F. P., and Tabor, D. (1964). “The friction and lubrication of solids—Part 2.” Clarendon Press, Oxford, England.
2.
Brigham, E. O. (1974). “The fast Fourier transform.” Prentice‐Hall, Englewood Cliffs, N.J.
3.
Cooley, J. W., Lewis, P. A., and Welch, P. D. (1967). “Application of the fast Fourier transform to computation of Fourier integrals, Fourier seris and convolution integrals.” IEEE Transactions on Audio and Electroacoustics, Vol. AU‐15(2), 79–84.
4.
Giles, C. G., Sabey, B. E., and Cardew, K. H. F. (1962). “Development and performance of the portable skid resistance tester.” ASTM, Special Technical Publication 326, American Society for Testing and Materials, Philadelphia, Pa.
5.
Greenwood, J. A., and Tabor, D. (1958). “The friction of hard sliders on lubricated rubber: The importance of deformation losses.” Proc., Physical Soc., London, 71(457), 989–1001.
6.
Hinton, E., and Owen, D. R. J. (1977). Finite element programming, Academic Press, New York, N.Y.
7.
Holla, L. (1974). “The influence of surface texture on the coefficient of friction of road surfaces,” thesis presented to the University of New South Wales, at Sydney, Australia, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
8.
Kummer, H. W. (1966). “Unified theory of rubber and tire friction.” Engrg. Res. Bulletin, B‐94, Pennsylvania State Univ., University Park, Pa.
9.
Moore, I. D., Purushothaman, N., and Heaton, B. S. (1988). “Three dimensional elastic finite element study of the skid resistance of grooved pavements.” Int. J. Numerical Methods in Engrg., 26(Feb.), 437–452.
10.
Norman, R. H. (1962). “The rolling friction of cylinders on planes.” British J. Appl. Physics, 13, 358–361.
11.
Purushothaman, N. (1987). “Numerical analysis of sliding of rubber over triangular and rectangular grooved asperities—Tyre pavement interaction,” thesis presented to the University of Newcastle, at Newcastle, Australia, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
12.
Purushothaman, N., and Heaton, B. S. (1986). “Development of a variable speed pendulum tester for laboratory based speed‐friction studies of road pavement surfaces.” Proc., 13th Australian Road Res. Board‐5th Road Engrg. Assoc. of Asia and Australia Combined Conf., Vol. 13, Part 5, 226–233.
13.
Purushothaman, N., and Moore, I. D. (1987). “Finite element analysis of a viscoelastic solid sliding over triangular asperities.” Int. Conf. on Numerical Methods in Engrg.; Theory and Application—No. 2, Swansea, U.K.
14.
Purushothaman, N., Moore, I. D., and Heaton, B. S. (1988). “Finite element analysis of viscoelastic solids responding to periodic disturbances.” Int. J. for Numerical Methods in Engrg., 26(Jun.), 1471–1483.
15.
Sabey, B. E. (1958). “Pressure distributions beneath spherical and conical shapes pressed into a rubber plane and their bearing on the coefficients of friction under wet conditions.” Proc., Physical Soc., London, England, 71(462), 979–988.
16.
Schallamach, A. (1967). J. Institution of Rubber Industry, Vol. 1.
17.
Schapery, R. A. (1978). “Analytical models for the deformation and adhesion components of rubber friction.” Tire Sci. and Tech., TSTCA, 6(1), 3–47.
18.
Shapery, R. A. (1978). “Analysis of rubber friction by the fast Fourier transform.” Tire Sci. and Tech., TSTCA, 6(2), 89–113.
19.
Tannerananon, P. (1981). “The analysis of the mechanism of Tyre friction on wet roads,” thesis presented to the University of New South Wales, at Sydney, Australia, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
20.
Yandell, W. O. (1968). “A mathematical simulation of hysteretic sliding friction.” Proc., 4th Conf., Australian Road Res. Board, Vol. 4, Part 2, 1495–1511.
21.
Yandell, W. O. (1971). “A new theory of hysteretic sliding friction.” Wear, Switzerland, 17, 229–244.
22.
Yandell, W. O., Tannerananon, P., and Zankin, V. G. (1982). “Prediction of tireroad friction from surface texture and tread rubber properties.” A.S.T.M. Special Technical Publication 793, American Society for Testing and Materials, Philadelphia, Pa., 304–322.
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Copyright © 1990 ASCE.
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Published online: Jan 1, 1990
Published in print: Jan 1990
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