Non-Linear Expressions for Rolling Friction of a Soft Ball on a Hard Plane

Nonlinear Dynamics

Volumn 33, Issue 1, 2003, Pages 33-41

  Yung, K L ^a   Xu, Yan ^a  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Non linear; Relaxation; Rolling friction; Viscous deformation

Indexed keywords

MATHEMATICAL MODELS; PARAMETER ESTIMATION; RELAXATION PROCESSES; VISCOELASTICITY;

STRAIN FUNCTION;

FRICTION;

EID: 0141924284     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025582521870     Document Type: Article

References (8)

1. Greenwood, J. A., Minshall, H., and Tabor, D., 'Hysteresis losses in rolling and sliding friction', Proceedings of the Royal Society of London Series A 259, 1961, 480-507.
2. Tabor, D., 'The mechanism of rolling friction. II. The elastic range', Proceedings of the Royal Society of London Series A 229, 1955, 198-220.
3. Brilliantov, N. V. and Pöschel, T., 'Rolling friction of a viscous sphere on a hard plane', Europhysics Letters 42, 1998, 511-516.
4. Wrana, C., Eisele, U., and Kelbch, S., 'Measurement and molecular modeling of rolling resistance in tire treads', Kautschuk Gummi Kunststoffe 53, 2000, 126-128.
5. Pöschel, T., Schwager, T., and Brilliantov, N.V., 'Rolling friction of a hard cylinder on a viscous plane', European Physical Journal B 10, 1999, 169-174.
6. Ward, I. M., Mechanical Properties of Solid Polymers, Wiley, New York, 1971.
7. Landau, L. D. and Lifshitz, E. M., Theory of Elasticity, Pergamon Press, London, 1959.
8. Xu, Y. and Yung K. L., 'The effect of inertial normal force on the rolling friction of a soft sphere on a hard plane', Europhysics Letters 61, 2003, 620-624.