Residual stresses as a factor of railroad rail fatigue

Michał Pazdanowski


An analysis of the influence of residual stresses on material fatigue is presented in this paper. Residual stress distribution in railroad rails subjected to simulated service loads is considered. A mechanical model based on the plastic shakedown theory was used to determine residual stresses and the Dang Van fatigue criterion was applied.

Słowa kluczowe: residual stresses, material fatigue, Dang Van criterion

Steel R.K., et al, Catastrophic web cracking of railroad rail: A discussion of the unanswered questions, AAR, 1990.

Zerbst U., Lunden R., Edel K.-O., Smith R.A., Introduction to the damage tolerance behaviour of railway rails – a review, Engineering Fracture Mechanics, vol. 76, 2009, 2563-2601.

Groom J.J., Determination of residual stresses in rails, Batelle Columbus Laboratories, Rpt. No. DOT/FRA/ORD 83-05 Columbus OH, 1983.

Orkisz J., Harris A., Analysis of residual stresses at shakedown, a hybrid approach, Theoretical and Applied Fracture Mechanics, vol. 9, 1988, 109-121.

Orkisz J., et al., Discrete analysis of actual residual stresses resulting from cyclic loadings, Computers and Structures, vol. 35, 1990, 397-412.

Pazdanowski M., On estimation of residual stresses in rails using shake-down based method, Archives of Transport, vol. 22(3), 2010, 319-336.

Papadopulos I.V., Davoli P., Gorla C., Filippini M., Bernasconi A., A comparative study of multiaxial high-cycle fatigue criteria for metals, International Journal of Fatigue, vol. 19(3), 1997, 219-235.

Bernasconi A., Davoli P., Filippini M., Foletti S., An integrated approach to rolling contact sub-surface fatigue assessment of railway wheels, Wear, vol. 258, 2005, 973-980.

Martin J.B., Plasticity – fundamentals and general results, The MIT Press, 1975.

Findley W.N., A theory for the effects of mean stress on fatigue of metals under combined torsion and axial load or bending, Journal of Engineering for Industry, vol. 11, 1959, 301-306.

Matake T., An explanation on fatigue limit under combined stress, Bull JSME, vol. 20(141), 1977, 257-263.

McDiarmid D.L., A general criterion for high cycle multiaxial fatigue failure, Fatigue and Fracture of Engineering Materials and Structures, vol. 14, 1990, 429-453.

Dietmann H., Bhonghibhat T., Schmid A., Multiaxial fatigue behaviour of steels under in-phase and out-of-phase loading, including different waveforms and frequencies [in:] D. Kussmaul, D.L. McDiarmid, D. Socie (Eds.): Fatigue under biaxial and multiaxial loading, MEP, London 1991, 449-464.

Marin J., Mechanical behavior of engineering materials, Prentice-Hall, Englewood Cliffs, N.J., 1962.

Crossland B., Effect of large hydrostatic pressure on the torsional fatigue strength of an alloy steel [in:] Proceedings of the international conference on fatigue of metals, IME London 1956, 138-149.

Kakuno H., Kawada Y., A new criterion of fatigue strength of a round bar subjected to combined static and repeated bending and torsion, Fatigue and Fracture of Engineering Materials and Structures, vol. 2, 1979, 229-236.

Deperrois A., Sur le calcul de limites d’endurance des aciers, PhD thesis, Paris 1995.

Grubisic V., Simburger A., Fatigue under combined out-of-phase multiaxial stresses [in:] Fatigue, Testing and Design, Proc. SEE Conf., vol. 2, London 1976, 1-28.

Zenner H., SimburgerA., Liu Z., On the fatigue limit of ductile metals under complex multiaxial loading, International Journal of Fatigue, vol. 22, 2000, 137-145.

Dang Van K., Griveau B., Message O., On new multiaxial fatigue criterion: theory and application [in:] Biaxial and multiaxial fatigue, MEP, London 1989, 479-496.

Ringsberg J.W., Lindback T., Rolling contact fatigue of rails including numerical simulations of the rail manufacturing process and repeated wheel rail contact loads, International Journal of Fatigue, vol. 25, 2003, 547-558.

Groom J.J., Determination of residual stresses in rails, Batelle Columbus Laboratories, Rpt. DOT/FRA/ORD-83-05, Columbus, OH, 1983.

Lo K.H., Mummery P., Buttle D.J., Characterization of residual principal stresses and their implications on failure of railway rails, Engineering Failure Analysis, vol. 17, 2010, 1273-1284.