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Finite Elements Applications

Numerical Tools and Specific Fatigue Problems
  • H. Maitournam
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 392)

Abstract

A systematic methodology for designing structures against high-cycle fatigue is developed. It relies upon: (i) computational methods for the calculation of the limit response of structures subjected to cyclic loading; (ii) numerical implementation of efficient high-cycle fatigue criteria. The first step in the prediction of high-cycle fatigue damage is the determination of stress cycles. In this paper we present three finite element procedures for the calculation of elastic-plastic structures subjected to cyclic loading (repeated moving contacts, small oscillatory contacts, etc.), namely the direct cyclic method, the stationary method and the simplified analysis of inelastic structures. These methods lead to easy determination of the possible stabilised response. Therefore, they avoid the lengthy repeated calculations performed with the classical finite element method and an incremental treatment of the loading history. The second step is the use of high-cycle fatigue criteria. We review some numerical tools for their implementations. Finally, some applications are presented. The first one is a problem of a cylinder subjected to an elliptical rotating pressure. The direct stationary method is used to determine the stabilised stress cycle and a macro-meso high-cycle fatigue criterion is used to detect crack initiation. The second application is the numerical simulation of a fretting fatigue map in relation with material fatigue properties.

Keywords

Multiaxial Fatigue Slip Regime Fatigue Criterion Inelastic Structure Incremental Treatment 
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.

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References

  1. [1]
    N. Maouche, M.H. Maitournam, K. Dang Van (1997), On a new method of evaluation of the inelastic state due to moving contacts, Wear 203–204, pp 139–147.Google Scholar
  2. [2]
    P. Ballard, K. Dang Van, A. Deperrois and Y. Papadopoulos (1995), High cycle fatigue and a finite element analysis, Fatigue Fract. Engng Mater. Struct. Vol. 18, 3, pp. 397–411.CrossRefGoogle Scholar
  3. [3]
    K. Dang Van & M. H. Maitournam (1993), Steady-state flow in classical elastoplasticity: application to repeated rolling and sliding contact, J. Mech. Phys. solids Vol. 41, N° 11, pp. 1691–1710.MathSciNetCrossRefMATHGoogle Scholar
  4. [4]
    K. Dang Van and M. H. Maitournam (1994), Thermomechanical state near rolling contact area, Dissipative Processes in tribology, Edited by D. Dowson et al., Elsivier Science B.V. pp. 423–428.Google Scholar
  5. [5]
    K. Dang Van and M. H. Maitournam (1994), Elastoplastic Calculations of the Mechanical State in Alternative Moving Contacts: Application to Fretting Fatigue, FRETTING FATIGUE, ESIS 18 (Edited by R.B. Waterhouse and T.C. Lindley), Mechanical Engineering Publications, London, pp. 161–168.Google Scholar
  6. [6]
    O. Vingsbo, S. Soderberg (1988), On fretting maps, Wear 126 pp. 131–147.Google Scholar
  7. [7]
    L. Vincent, Y. Bertier, M. Godet (1992), Testing methods in fretting fatigue: a critical appraisal, standardisation of fretting fatigue test methods and équipement, in M. Helmi Attia and R.B. Waterhouse (eds), ASTM STP 1159, American Society for Testing and Materials, Philadelphia, pp. 33–48.Google Scholar
  8. [8]
    R. D. Mindlin (1949), Compliance of elastic bodies in contact, J. Appl. Mech Vol.16, pp.259–268.MathSciNetMATHGoogle Scholar
  9. [9]
    P. Ladevèze (1989), La methode à grand increment pour Vanalyse de structures à comportement non linéaire décrit par variables internes, C.R.A.S 309, Série II, 11, pp. 1095–1099.Google Scholar
  10. [10]
    Ph. Boisse, P. Ladevèze, P. Rougée (1989), A large time increment method for elastoplastic problems, Eur.J.Mech, A/solids, 4, pp. 257–275.Google Scholar
  11. [11]
    S. Akel, Q. S. Nguyen (1989), Determination of the limit response in cyclic plasticity, Proceedings of the 2nd International Conference on Computational plasticity: Models, Soft ware and Applications (Edited D. R. J. Owen, E. Hinton, E. Onate), Pineridge Press, Swansea, pp. 639–650.Google Scholar
  12. [12]
    C. Petiot, L. Vincent, K. Dang Van, N. Maouche, J. Foulquier, B. Journet (1995), An analysis of fretting-fatigue failure combined with numerical calculations to predict crack nucleation, Wear 181–183 pp. 101–111.Google Scholar
  13. [13]
    K. Kim, K. C. Ludema (1995), A correlation between Low cycle fatigue and scuffing properties of 4340 steel, Wear 117 pp. 617–621.Google Scholar
  14. [14]
    A.F. Bower (1989), Cyclic hardening properties of hard-drawn copper and rail steel, J. Mech. Phy. Solids, 37 (4) 455–470.CrossRefGoogle Scholar
  15. [15]
    K. L. Johnson (1995), Contact mechanics and wear of metals, Wear 190 pp. 162–170.Google Scholar
  16. [16]
    K.L. Johnson (1992), The application of shakedown principles in rolling and sliding contact, Eur. J. Mech., A/Solids 11 Special Issue 155–172.Google Scholar
  17. [17]
    K. L. Johnson (1985), Contact mechanics, Cambridge University Press.CrossRefMATHGoogle Scholar
  18. [18]
    K. Dang Van, B. Griveau, O. Message (1982), On a new multiaxial fatigue limit criterion: theory and application, biaxial and multiaxial fatigue, in M.W. Brown and K. Miller (eds), EGF Publication 3, pp.479–496.Google Scholar
  19. [19]
    K. Dang Van (1993), Macro-micro approach in high-cycle multiaxial fatigue, in D.L. McDowell and R. Ellis (eds), Advances in multiaxial fatigue, ASTM STP 1991, American Society for testing and Materials, Philadelphia, pp. 120–130.Google Scholar
  20. [20]
    J. Zarka, J. Frelat, G. Inglebert & P. Navidi, A new Approach to Inelastic Analysis of Structures (1989), Martinus Nijhoff Publisher.Google Scholar
  21. [21]
    J.L. Zhou, A.L Tits (1993), Non monotonic line search for minimax problems, J. Optim. Theory Appl.76, 455–476.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag Wien 1999

Authors and Affiliations

  • H. Maitournam
    • 1
  1. 1.École PolytechniquePalaiseauFrance

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