A novel approach for thermomechanical analysis of stationary rolling tires within an ALE-kinematic framework

Tire Science and Technology

Volumn 41, Issue 3, 2013, Pages 174-195

  Suwannachit, Anuwat ^a   Nackenhorst, Udo ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Arbitrary Lagrangian Eulerian; Finite element analysis; Isentropic operator split; Stationary rolling contact; Thermoviscoelasticity

Indexed keywords

ARBITRARY LAGRANGIAN EULERIAN; COMPUTATIONAL TECHNIQUE; ENERGY BALANCE EQUATIONS; ISENTROPIC; ROLLING CONTACTS; TEMPERATURE DEPENDENCIES; THERMO-MECHANICAL ANALYSIS; THERMOVISCOELASTICITY;

ALGORITHMS; CONSTITUTIVE MODELS; DEFORMATION; FINITE ELEMENT METHOD; FRICTION; GALERKIN METHODS; KINEMATICS; LAGRANGE MULTIPLIERS; THERMOELASTICITY; TIRES;

NUMERICAL METHODS;

EID: 84885644284     PISSN: 00908657     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (34)

1. Ghoreishy M. H. R., "A State of the Art Review of the Finite Element Modelling of Rolling Tyres", Iranian Polymer Journal, Vol. 17, 2008, pp. 571-597.
2. Whicker, D., Browne, A. L., Segalman, D. J., and Wickliffe, L. E., "A Thermomechanical Approach to Tire Power Loss Modeling", Tire Science and Technology, Vol. 9, 1981, pp. 3-18.
3. Sarkar, K., Kwon, Y. D., and Prevorsek, D. C, "A New Approach for the Thermomechanical Analysis of Tires by the Fmite Element Method", Tire Science and Technology, Vol. 15, 1987, pp. 261-275.
4. Luchini, J. R., Peters, J. M., and Arthur, R. H., "Tire Rolling Loss Computation with the Finite Element Method", Tire Science and Technology, Vol. 22, 1994, pp. 206-222.
5. Oh, B. S., Kim, Y. N., Kim, N. J., Moon, H. Y, and Park, H. W., "Internal Temperature Distribution in a Rolling Tire", Tire Science and Technology, Vol. 23, 1995, pp. 11-25.
6. Park, H. C., Youn, S. K., Song, T. S., and Kim, N. J., "Analysis of Temperature Distribution in a Rolling Tire due to Strain Energy Dissipation", Tire Science and Technology, Vol. 25, 1997, pp. 214-228.
7. Ebbott, T. G., Hohman, R. L., Jeusette, J. P., and Kerchman, V, "Tire Temperature and Rolling Resistance Prediction with Finite Element Analysis", Tire Science and Technology, Vol. 27, 1999, pp. 2-21.
8. Shida, Z., Koishi, M., Kogure, T., and Kabe, K., "A Rolling Resistance Simulation of Tires Using Static Finite Element Analysis", Tire Science and Technology, Vol. 27, 1999, pp. 84-105.
9. Narasimha Rao, K. V., Krishna Kumar, R., Bohara, P. C., and Mukhopadhyay, R., "A Finite Element Algorithm for the Prediction of Steady-State Temperatures of Rolling Tires", Tire Science and Technology, Vol. 34, 2006, pp. 195-214.
10. Futamura, S. and Goldstein, A., "A Simple Method of Handling Thermomechanical Coupling for Temperature Computation in a Rolling Tire", Tire Science and Technology, Vol. 32, 2004, pp. 56-68.
11. Mackerle, J., "Rubber and Rubber-Like Materials, Finite-Element Analyses and Simulations, an Addendum: A Bibliography (1997-2003)", Modelling and Simulation in Materials Science and Engineering, Vol. 12, 2004, pp. 1031-1053.
12. Simo, J. C. and Hughes T. J. R., Computational Inelasticity, Springer, Berlin 1998.
13. Holzapfel, G. A., "On Large Strain Viscoelasticity: Continuum Formulation and Finite Element Applications to Elastomeric Structures", International Journal for Numerical Methods in Engineering, Vol. 39, 1996, pp. 3903-3926.
14. Reese, S. and Govindjee, S., "A Theory of Finite Viscoelasticity and Numerical Aspects", International Journal of Solids and Structures, Vol. 35, 1998, pp. 3455-3482.
15. Kaliske, M., Nasdala, L., and Rothert, H., "On Damage Modelling for Elastic and Viscoelastic Materials at Large Strain", Computers and Structures, Vol. 79, 2001, pp. 2133-2141.
16. Liu, M. and Hoo Fatt, M. S., "A Three-Dimensional Constitutive Model for the Dynamic Response of Rubber", Tire Science and Technology, Vol. 37, 2009, pp. 226-253.
17. Suwannachit, A. and Nackenhorst, U., "On the Constitutive Modeling of Reinforced Rubber in a Broad Frequency Domain", Journal of Applied Mathematics and Mechanics, Vol. 90, 2010, pp. 418-435.
18. Rendek, M. and Lion, A., "Amplitude Dependence of Filler-Reinforced Rubber: Experiments, Constitutive Modelling and FEM-Implementation", International Journal of Solids and Structure, Vol. 47, 2010, pp. 2918-2936.
19. Holzapfel, G. A. and Simo, J. C, "A New Viscoelastic Constitutive Model for Continuous Media at Finite Thermomechanical Changes", International Journal of Solids and Structures, Vol. 33, 1996, pp. 3019-3034.
20. Reese, S. and Govindjee, S., "Theoretical and Numerical Aspects in the Thermo-Viscoelastic Material Behaviour of Rubber-Like Polymers", Mechanics of Time-Dependent Materials, Vol. 1, 1998, pp. 357-396.
21. Boukamel, A., Meo, S., Debordes, O., and Jaeger, M., "A Thermo-Viscoelastic Model for Elastomeric Behaviour and Its Numerical Application", Archive of Applied Mechanics, Vol. 71, 2001, pp. 785-801.
22. Lion, A., "On the Large Strain Deformation Behaviour of Reinforced Rubber at Different Temperatures", Journal of the Mechanics and Physics of Solids, Vol. 45, 1997, pp. 1805-1834.
23. Lion, A., "A Physically Based Method to Represent the Thermo-Mechanical Behaviour of Elastomers", Acta Mechanica, Vol. 123, 1997, pp. 1-25.
24. Johlitz, M., Scharding, D., Diebels, S., Retka, J., and Lion, A., "Modelling of Thermo-Viscoelastic Material Behaviour of Polyurethane Close to the Glass Transition Temperature", Journal of Applied Mathematics and Mechanics, Vol. 90, 2010, pp. 387-398.
25. Armero, R and Simo, J. C, "A New Unconditionally Stable Fractional Step Method for Nonlinear Coupled Thermomechanical Problems", International Journal for Numerical Methods in Engineering, Vol. 35, 1992, pp. 737-766.
26. Ziefle, M. and Nackenhorst, U., "Numerical Techniques for Rolling Rubber Wheels: Treatment of Inelastic Material Properties and Frictional Contact", Computational Mechanics, Vol. 42, 2008, pp. 337-356.
27. Holzapfel, G. A. and Simo, J. C, "Entropy Elasticity of Isotropic Rubber-Like Solids at Finite Strains", Computer Methods in Applied Mechanics and Engineering, Vol. 132, 1996, pp. 17-44.
28. Argyris, J. H. and Doltsinis, J., "On the Natural Formulation and Analysis of Large Deformation Coupled Thermomechanical Problems", Computer Methods in Applied Mechanics and Engineering, Vol. 25, 1981, pp. 195-253.
29. Miehe, C, "Entropic Thermoelasticity at Finite Strains: Aspects of the Formulation and Numerical Implementation", Computer Methods in Applied Mechanics and Engineering, Vol. 120, 1995, pp. 243-269.
30. Kaliske, M. and Heinrich, G., "An Extended Tube-Model for Rubber Elasticity: Statistical-Mechanical Theory and Finite Element Implementation", Rubber Chemistry and Technology, Vol. 72, 1999, pp. 602-632.
31. Nackenhorst, U., "The ALE-Formulation of Bodies in Rolling Contact: Theoretical Foundations and Finite Element Approach", Computer Methods in Applied Mechanics and Engineering, Vol. 193, 2004, pp. 4299-4322.
32. Benson, D., "An Efficient, Accurate, Simple ALE Method for Nonlinear Finite Element Programs", Computer Methods in Applied Mechanics and Engineering, Vol. 72, 1989, pp. 305-350.
33. Wriggers, P., Nonlinear Finite Element Methods, Springer, Berlin, 2008.
34. Nackenhorst, U., Chiarello, R., and Suwannachit, A., "Dynamics of Bodies in Rolling Contact-A Multiscale Approach", Proceedings of the X International Conference on Computational Plasticity, Barcelona, 2009.