A Temperature Field in Rolling Contact Problems

  • A. Chudzikiewicz
  • A. Myslinski
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 72)


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.


Contact Problem Normal Contact Force Rigid Foundation Frictional Contact Problem Rolling Wheel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    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.MathSciNetADSzbMATHCrossRefGoogle Scholar
  2. 2.
    Knothe, K. and Liebelt, S. (1995) Determination of temperatures for sliding contact with applications for wheel-rail systems, Wear, Vol. 189, pp. 91–99.CrossRefGoogle Scholar
  3. 3.
    Oden, J.T. and Kikuchi, N. (1988) Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Method, SIAM, Philadelphia.Google Scholar
  4. 4.
    Chudzikiewicz, A. and Kalker, J.J. (1990) Wheel-rail wear calculations with Fastsim routine, The Archives of Transport, Vol. 1, pp. 9–27.Google Scholar
  5. 5.
    Myslinski, A. and Zochowski, A. (1991) A numerical analysis of rolling contact problems using quasistatic variational formulation, Computers & Structures, Vol. 40, pp. 1261–1266.zbMATHCrossRefGoogle Scholar
  6. 6.
    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.MathSciNetADSzbMATHCrossRefGoogle Scholar
  7. 7.
    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.ADSzbMATHCrossRefGoogle Scholar
  8. 8.
    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.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • A. Chudzikiewicz
    • 1
  • A. Myslinski
    • 2
  1. 1.Institute of TransportWarsaw University of TechnologyWarszawaPoland
  2. 2.System Research InstituteWarsawPoland

Personalised recommendations