Abstract
Problems involving thermoelasticity have received considerable attention in recent years in both the engineering and the mathematical literature. This popularity is due to the fact that thermoelastic expansion occurs naturally in many industrial processes. Contact temperatures and the temperature field in the wheel-rail system influence phenomena which occur in the contact area (see [1, 2]). We shall consider the contact of a rigid wheel with an elastic rail resting on a rigid foundation. It is assumed that the friction between the bodies is described by the Coulomb law ([3]). Moreover we assume a frictional heat generation and heat transfer across the contact surface.
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References
Johansson, L., and Klabring, A.(1993) Thermoelastic frictional contact problems: modelling, finite element approximation and numerical realization, Computer Methods in Applied Mechanics and Engineering, Vol. 105, pp. 181–210.
Knothe, K. and Liebelt, S. (1995) Determination of temperatures for sliding contact with applications for wheel-rail systems, Wear, Vol. 189, pp. 91–99.
Oden, J.T. and Kikuchi, N. (1988) Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Method, SIAM, Philadelphia.
Chudzikiewicz, A. and Kalker, J.J. (1990) Wheel-rail wear calculations with Fastsim routine, The Archives of Transport, Vol. 1, pp. 9–27.
Myslinski, A. and Zochowski, A. (1991) A numerical analysis of rolling contact problems using quasistatic variational formulation, Computers & Structures, Vol. 40, pp. 1261–1266.
Wriggers, P. and Miehe, C. (1994) Contact constraints within coupled thermome-chanical analysis — A finite element model, Computer Methods in Applied Mechanics and Engineering, Vol. 113, pp. 301–319.
Zavarise, G., Wriggers, P., Stein, E., Schrefler, B.A. (1992) Real contact mechanisms and finite element formulation — a coupled thermomechanical approach, International Journal of Numerical Methods in Engineering, Vol. 35, pp. 767–785.
Chudzikiewicz, A., Myslinski, A., Zochowski, A. (1992) Quasistatic versus Kalker approach for solving rolling contact problems. The Archives of Transport. Vol. 4, pp. 103–120.
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© 1999 Springer Science+Business Media Dordrecht
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Chudzikiewicz, A., Myslinski, A. (1999). A Temperature Field in Rolling Contact Problems. In: Pfeiffer, F., Glocker, C. (eds) IUTAM Symposium on Unilateral Multibody Contacts. Solid Mechanics and its Applications, vol 72. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4275-5_25
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DOI: https://doi.org/10.1007/978-94-011-4275-5_25
Publisher Name: Springer, Dordrecht
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