Rolling contact fatigue of rails - Finite element modelling of residual stresses, strains and crack initiation

Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit

Volumn 214, Issue 1, 2000, Pages 7-19

  Ringsberg, J W ^a   Bjarnehed, H ^b   Johansson, A ^a   Josefson, B L ^a,b  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^b Frontec Institute of Science   (Sweden)

Author keywords

Crack initiation; Critical planes; Finite element modelling; Ratchetting; Residual stresses; Rolling contact fatigue

Indexed keywords

COMPUTER SIMULATION; CRACK PROPAGATION; FINITE ELEMENT METHOD; HARDENING; RAILS; RESIDUAL STRESSES; STRAIN;

CRITICAL PLANES; FINITE ELEMENT MODELING; RATCHETTING; ROLLING CONTACT FATIGUE;

FATIGUE OF MATERIALS;

EID: 0001918593     PISSN: 09544097     EISSN: None     Source Type: Journal    
DOI: 10.1243/0954409001531207     Document Type: Article

References (41)

1. Johnson, K. L. Contact Mechanics, 1985 (Cambridge University Press, Cambridge).
2. Suresh, S. Fatigue of Materials, 2nd edition, 1998 (Cambridge University Press, Cambridge).
3. Beynon, J. H., Brown, M. W. and Kapoor, A. Initiation, growth and branching of cracks in railway track. In Proceedings of Engineering Against Fatigue (Eds J. H. Beynon, M. W. Brown, R. A. Smith, T. C. Lindley and B. Tomkins), 1999, pp. 461-472 (Balkema, Rotterdam, The Netherlands).
4. Jiang, Y. and Sehitoglu, H. An analytical approach to elastic-plastic stress analysis of rolling contact. Trans. ASME, J. Tribology, 1994,116, 577-587.
5. Jiang, Y. and Sehitoglu, H. A model for rolling contact failure. Wear, 1999,224,38-49.
6. Hahn, G. T., Bhargava, V., Rubin, C. A., Chen, Q. and Kim, K. Analysis of the rolling contact residual stresses and cyclic plastic deformation of SAE 52100 steel ball bearings. Trans. ASME, J. Tribology, 1987,109, 618-626.
7. Fry, G. T., Lawrence, F. V. and Robinson, A. R. A model for fatigue defect nucleation in thermite rail welds. Fatigue and Fract. Engng Mater, and Struct., 1996,19, 655-668.
8. I-DEAS Master Series Version 5.0, 1997 (SDRC Inc., Milford, Ohio).
9. ABAQUS/Theory Manual Version 5.7, 1997 (Hibbitt, Karlsson and Sorensen, Providence, Rhode Island).
10. Bathe, K.-J. Finite Element Procedures, 1996 (Prentice-Hall, Englewoods Cliffs, New Jersey).
11. Nielsen, J. C. O. DIFF version 94.1-a computer program for numerical analysis of vertical dynamic train/track interaction. Theory manual and user's manual. Publication 34, Department of Solid Mechanics, Chalmers University of Technology, Gothenburg, Sweden, 1994.
12. DEsolver AB, GENSYS-On-line Documentation, 1998 (Östersund, Sweden).
13. Nielsen, J. C. O. and Abrahamsson, T. J. S. Coupling of physical and modal components for analysis of moving nonlinear dynamic systems on general beam structures. Int. J. Numer. Meth. Engng, 1992, 33, 1843-1859.
14. Chaboche, J.-L. and Lemaitre, J. Mechanics of Solid Materials, 1990 (Cambridge University Press, Cambridge).
15. Armstrong, P. J. and Frederick, C. O. A mathematical representation of the multiaxial Bauschinger effect. CEGB Report RD/B/N731,1966.
16. Jiang, Y. and Kurath, P. Characteristics of the ArmstrongFrederick type plasticity models. Int. J. Plasticity, 1996, 12, 387-415.
17. Johansson, A. and Thorberntsson, H. Elastoplastic material model with nonlinear kinematic hardening for rolling and sliding contact fatigue. Technical Report EX 1997:15, Department of Solid Mechanics, Chalmers University of Technology, Gothenburg, Sweden, 1997.
18. Matlab Version 5.0, 1996 (The Math Works Inc., Natick, Massachusetts).
19. Bower, A. F. Cyclic hardening properties of hard-drawn copper and rail steel. J. Mech. Phys. Solids, 1989, 37, 455-470.
20. Neider, J. A. and Mead, R. A simplex method for function minimization. Comput. J., 1965, 7, 308-313.
21. Mahnken, R. and Stein, E. Parameter identification for viscoplastic models based on analytical derivatives of a leastsquare functional and stability investigation. Int. J. Plasticity, 1996,12,451-479.
22. Diehl, U. and Nilsson, L. Svenska lok och motorvagnar (in Swedish). Svenska Järnvägsklubben, Stockholm, Sweden, 1989.
23. Tyfour, W. R., Beynon, J. H. and Kapoor, A. The steady state wear behaviour of pearlitic rail steel under dry rollingsliding contact conditions. Wear, 1995,180,79-89.
24. Bower, A. F. and Johnson, K. L. Plastic flow and shakedown of the rail surface in repeated wheel-rail contact. Wear, 1991, 144, 1-18.
25. Cox, S. J. Reference track proposal-version 2: 72105/37 PAND/T/Reference.Track.Proposal.2. Silent Track Consortium, Surrey, 1997.
26. Nielsen, J. C. O. Train/track interaction: Coupling of moving and stationary dynamic systems-theoretical and experimental analysis of railway track structures considering wheel and track imperfections. PhD dissertation, Department of Solid Mechanics, Chalmers University of Technology, Gothenburg, Sweden, 1993.
27. Timoshenko, S. P. and Goodier, J. N. Theory of Elasticity, 3rd edition, 1970 (McGraw-Hill, New York).
28. Kapoor, A. A re-evaluation of the life to rupture of ductile metals by cyclic plastic strain. Fatigue and Fract. Engng Mater. Struct., 1994,17, 201-219.
29. Ringsberg, J. W., Loo-Morrey, M., Josefson, B. L., Kapoor, A. and Beynon, J. H. Prediction of fatigue crack initiation for rolling contact fatigue. Int. J. Fatigue, 2000,22,205-215.
30. Bannantine, J. A., Comer, J. J. and Handrock, J. L. Fundamentals of Afetal Fatigue Analysis, 1990 (Prentice-Hall, Englewood Cliffs, New Jersey).
31. Beste, A. Elastisch plastisches Spannung-, Dehmings- und Anriverhalten in statisch und zyklisch belasteten Kerbscheiben-Ein Vergleich zwischen experimentellen Ergebnissen und Näherungsrechnungen (in German). No. 34, Veröffentlichung des Instituts für Stahlbau und Werkstoffmechanik der Technischen Universität Darmstadt, Darmstadt, Deutschland, 1981.
32. Socie, D. Discriminating experiments for multiaxial fatigue damage models. In Fatigue Design, ESIS16 (Eds J. Solin, G. Marquis, A. Siljander and S. Sipilä), 1993, pp. 201-211 (Mechanical Engineering Publications, London).
33. Ponter, A. R. S., Hearle, A. D. and Johnson, K. L. Application of the kinematical shakedown theorem to rolling and sliding point contacts. J. Mech. Phys. Solids, 1985, 33, 339-362.
34. Williams, J. A. Engineering Tribology, 1994 (Oxford University Press, New York).
35. Knothe, K. and Liebelt, S. Determination of temperatures for sliding contact with applications for wheel-rail systems. Wear, 1995,189,91-99.
36. Bower, A. F. and Johnson, K. L. The influence of strain hardening on cumulative plastic deformation in rolling and sliding line contact. J. Mech. Phys. Solids, 1989,37,471-493.
37. McDowell, D. L. A two surface model for transient nonproportional cyclic plasticity, Part I. Trans. ASME, J. Appl. Mechanics, 1985,52, 298-302.
38. Jiang, Y. and Sehitoglu, H. Rolling contact stress analysis with the application of a new plasticity model. Wear, 1996, 191,35-44.
39. Jiang, Y. and Sehitoglu, H. Modeling of cyclic ratchetting plasticity, Part I: development of constitutive relations. J. Appl Mechanics, 1996, 63, 720-725.
40. Jiang, Y. and Sehitoglu, H. Modeling of cyclic ratchetting plasticity, Part II: comparison of model simulations with experiments. J. Appl. Mechanics, 1996, 63,726-733.
41. Ekh, M., Johansson, A., Thorberntsson, H. and Josefson, B. L. Models for cyclic ratchetting plasticity-integration and calibration. Trans. ASME, J. Engng Mater. Technol, 2000, 122,49-55.