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Abstract

A finite element tire model is developed in this study. In the model, the rubber compounds are simulated by incompressible elements which are treated based on the Lagrangian multipliers method. The nonlinear mechanical properties of elastomers are modeled by the Mooney-Rivlin model. The corresponding material constants of elastomers are obtained from experimental data. The belts, carcass and beads are modeled by an equivalent orthotropic material model in which the effective moduli are determined from the individual material properties of rubber compound and cord using the Halpin-Tsai equations. The contact constraint of a radial tire structure with flat foundation and rigid rim is treated using the variable constraint method. The friction term of the tire-foundation contact under a steady rolling tire is treated using the regularized Coulomb's law. For the large deformation description of tires, the Lagrangian method is used here. Some of numerical results are given in this paper.

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References

1. Tseng, N.T., Pelle, R.G. and Chang, J.P. (1989). Finite element simulation of tire-rim interface . Tire Science and Technology, 17(4): 305-325 .

2. Kenny, T.M. and Stechschulte, R.A. (1988). Applications of finite element analysis in tire design . Tire Science and Technology, 16(2), 96-117 .

3. Rother, H., Idelberger, H. and Jacobi, W. (1984). On the finite element solution of the three dimensional tire contact problem . Nucl. Engng Des., 78: 363-375 .

4. Faria, L.O., Bass, J.M., Oden, J.T. and Becker, E.B. (1989). A three-dimensional rolling contact model for a reinforced rubber tire . Tire Science and Technology, 17(3): 217-233 .

5. Domscheit, A., Rother, H. and Winkelmann, T. (1989). Refined methods for tire computation . Tire Science and Technology, TSTCA, 17(4): 291-304 .

6. Halpin, J.C., Kardos, J.L. (1976). The Halpin-Tsai equations: a review . Polymer Engineering and Science, 16(5): 344-352 .

7. Wu, Baoguo (1993). Nonlinear three-dimensional finite element formulation of radial tires. Ph.D Thesis, Harbin Institute of Technology, (in Chinese).

8. Yin, Youquan (1987). A Nonlinear FE Theorem of Solid Mechanics. Beijing: Beijing University Press , (in Chinese).

9. Zienkiewizc, Q.C. (1977). The Finite Element Method. London: McGraw-Hill .

10.

10. Sun, C.T. and Li, S.J. (1988). Three-dimensional effective elastic constants for thick laminates . Journal of Composite Materials, 22: 629-639 .

11.

11. Sarkar, K., Kwom, Y.D. and Prevosek, D.C. (1987). A new approach for the thermo-mechanical analysis of tires by the finite element method . Tire Science and Technology, 15: 261-275 .

12.

12. Oden, T., Lin, T.L. and Bass, J.M. (1988). a finite element analysis of the general rolling contact problem for a viscoelastic rubber cylinder . Tire Science and Technology, 16(1): 18-43 .

Nonlinear Three-Dimensional Finite Element Analysis of Steady Rolling Radial Tires

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