Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Bree's interaction diagram of beams with considering creep and ductile damage

  • Nayebi, A. (Department of Mechanical Engineering, School of Engineering, Shiraz University)
  • Received : 2007.08.31
  • Accepted : 2008.10.12
  • Published : 2008.12.20
⟨ Previous Next ⟩

Abstract

The beams components subjected to the loading such as axial, bending and cyclic thermal loads were studied in this research. The used constitutive equations are those of elasto-plasticity coupled to ductile and/or creep damage. The nonlinear kinematic hardening behavior was considered in elastoplasticity modeling. The unified damage law proposed for ductile failure and fatigue by the author of Sermage et al. (2000) and Kachanov's creep damage model applied to cyclic creep and low cycle fatigue of beams. Based on the results of the analysis, the shakedown limit loads were determined through the calculation of the residual strains developed in the beam analysis. The iterative technique determines the shakedown limit load in an iterative manner by performing a series of full coupled elastic-plastic and continuum damage cyclic loading modeling. The maximum load carrying capacity of the beam can withstand, were determined and imposed on the Bree's interaction diagram. Comparison between the shakedown diagrams generated by or without creep and/or ductile damage for the loading patterns was presented.

Keywords

References

  1. ASME (1998), III, Division I, Subsection NH, App. T
  2. Bree, J. (1967), 'Elastic-plastic behavior of thin tubes subjected to internal pressure and intermittent high-heat fluxes with application to fast-nuclear-reactor fuel elements', J. Strain Anal., 2, 226-238 https://doi.org/10.1243/03093247V023226
  3. Chaboche, J.L. and Lemaitre, J. (1990), Mech. Mater., Cambridge University Press
  4. Chandrakanth, S. and Pandey, P.C. (1995), 'An isotropic damage model for ductile material', Eng. Fract. Mech., 50(4), 457-465 https://doi.org/10.1016/0013-7944(94)00214-3
  5. Coffin, L.F. (1954), 'A study of cyclic thermal stress in a ductile metal', Trans. ASME, 76, 931-950
  6. Coffin, L.F. (1976), 'The concept of frequency separation methods in life prediction for time dependent fatigue', ASME Symp. on Creep Fatigue Interaction, 346-363
  7. Desmorat, R., Kane, A., M. Seyedi, and Sermage, J.P. (2007), 'Two scale damage model and related numerical issues for thermomechanical high cycle fatigue', Eur. J. Mech. A/Solids, 26, 909-935 https://doi.org/10.1016/j.euromechsol.2007.01.002
  8. Eslami, M.R. and Mahbadi, H. (2002), 'Cyclic loading of beams based on the Prager and Frederick-Armstrong kinematic hardening models', Int. J. Mech. Sci., 44, 859-879 https://doi.org/10.1016/S0020-7403(02)00033-4
  9. Krajcinovic, D. (1979), 'Distributed damage theory of beams in pure bending', J. Appl. Mech. - T. ASME, 46, 592-596 https://doi.org/10.1115/1.3424612
  10. Lemaitre, J. (1985), 'A continuous damage mechanics model for ductile fracture', J. Eng. Mater. - T. ASME, 107, 83-89 https://doi.org/10.1115/1.3225775
  11. Lemaitre, J. (1992), A Course on Damage Mechanics, Springer-Verlag, Berlin
  12. Lemaitre, J. and Chaboche, J.L. (1974), 'A non-linear model of creep-fatigue damage accumulation and interraction', IUTAM Symposium, Göthenburg, Sweden, 291-300
  13. Lemaitre, J. and Desmorat, R. (2005), Engineering Damage Mechnaics, Springer-Verlag, Berlin
  14. Lemaitre, J.L. (1984), 'How to use damage mechanics', Nuclear Eng. Design, 80, 233-245 https://doi.org/10.1016/0029-5493(84)90169-9
  15. Mahbadi, H., Gowhari, A.R., and Eslami, M.R. (2004), 'Elastic-plastic-creep cyclic loading of beams using the Prager kinematic hardening model', J. Strain Anal., 39, 127-136 https://doi.org/10.1243/030932404773123868
  16. Manson, S.S. (1954), 'Behavior of materials under conditions of thermal stress', NACA Technical Note, TN- 2933
  17. Manson, S.S. (1971), 'Creep fatigue analysis by strain range partitioning', ASME Symp. on Design for Elevated Temperature, ASME, San Francisco
  18. O'Donnell, W.J. and Porowoski, J.S. (1981), 'Biaxial model for bounding creep ratcheting', ORNL Report ORNL/Sub7322/2, ORNL, Oak Ridge, TN
  19. Sermage, J.P., Lemaitre, J., and R. (2000), 'Desmorat, Multiaxial creep-fatigue under anisothermal conditions', Fatig. Fract. Eng. M., 23, 241-252 https://doi.org/10.1046/j.1460-2695.2000.00267.x
  20. Shi, G. and Voyiadjis, G.Z. (1993), 'A computational model for fe ductile plastic damage analysis of plate bending', J. Appl. Mech., 60, 749-758 https://doi.org/10.1115/1.2900868
  21. Taira, S. (1962), Creep in Structures, Academic Press

Cited by

  1. Elastoplastic design of beam structures subjected to cyclic thermomechanical loads vol.136, pp.None, 2008, https://doi.org/10.1016/j.tws.2018.12.024