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Simulation of Ratcheting Behavior under Stress Controlled Cyclic Loading using Two-Back Stress Hardening Constitutive Relation

이중 후방 응력 경화 모델을 이용한 주기 하중에서의 래쳐팅 거동 현상 연구

  • Published : 2008.02.01

Abstract

In the present work, the ratcheting behavior under uniaxial cyclic loading is analyzed. A comparison between the published and the results from the present model is also included. In order to simulate the ratcheting behavior, Two-Back Stress model is proposed by combining the non-linear Armstrong-Frederick rule and the non-linear Phillips hardening rule based on kinematic hardening equation. It is shown that some ratcheting behaviors can be obtained by adjusting the control material parameters and various evolutions of the kinematic hardening parameter can be obtained by means of simple combination of hardening rules using simple rule of mixtures. The ultimate back stress is also derived for the present combined kinematic hardening models.

Keywords

References

  1. T. Hassan, S. Kyriakides, 1994, Ratcheting of Cyclically Hardening and Softening Materials: I. Uniaxial Behavior, International Journal of. Plasticity, Vol. 10, pp. 149-184 https://doi.org/10.1016/0749-6419(94)90033-7
  2. T. Hassan, S. Kyriakides, 1992, Ratcheting in Cyclic Plasticity, part I: Uniaxial Behavior, International Journal of. Plasticity, Vol., 8, pp. 91-116 https://doi.org/10.1016/0749-6419(92)90040-J
  3. T. Hassan, S. Kyriakides, 1994, Ratcheting of Cyclic Hardening and Softening Materials: II. Mutiaxial Behavior, International Journal of. Plasticity, Vol. 10, pp. 185-212 https://doi.org/10.1016/0749-6419(94)90034-5
  4. Z. Mroz, H. P. Shrivastava, R. N. Dubby, 1976, A Non-Linear Hardening Model and Its Application, Acta Mechanica, Vol. 25, pp. 51-61 https://doi.org/10.1007/BF01176929
  5. J. L. Chaboche, 1986, Time-Independent Constitutive Theories for Cyclic Plasticity, International Journal of. Plasticity, Vol. 2, pp. 149-188 https://doi.org/10.1016/0749-6419(86)90010-0
  6. S. Bari, T. Hassan, 2001, Kinematic hardening rules in uncoupled modeling for multiaxial ratcheting simulation, International Journal of. Plasticity, Vol. 17, pp. 885-905 https://doi.org/10.1016/S0749-6419(00)00031-0
  7. N. Ohno, J. D. Wang, 1993, Kinematic Hardening Rules with Critical State of Dynamic Recovery, Part I: Formulation and Basic Features for Ratcheting Behavior, International Journal of. Plasticity , Vol. 9, pp. 375-390 https://doi.org/10.1016/0749-6419(93)90042-O
  8. A. Khan, S. Huang, 1995, Continuum Theory of Plasticity, John Wiley & Sons. Inc., New York, pp. 215-229
  9. N. T. Tseng, G. C. Lee, 1983, Simple Plasticity Model of the Two-surface type, Journal of Engineering Mechanics, Vol. 109, pp. 795-810 https://doi.org/10.1061/(ASCE)0733-9399(1983)109:3(795)
  10. M. Abdel-Karim, 2005, Shakedown of complex structures according to various hardening rules, International Journal of Pressure vessel and piping, Vol. 82, pp. 427-458 https://doi.org/10.1016/j.ijpvp.2005.01.007
  11. J. Ning, E. C. Aifantis, 1994, On anisotropic finite deformation plasticity Part II. A two-component model, Acta Mechanica, Vol. 106, pp. 73-85 https://doi.org/10.1007/BF01300945
  12. D. L. McDowell, 1987, An Evaluation of Recent Developments in Hardening and Flow Rules for Rate-Independent, Nonproportional Cyclic Plasticity, Journal of Applied Mechanics, Vol. 54, pp. 323-334 https://doi.org/10.1115/1.3173015
  13. J. Ning, E. C. Aifantis, 1994, On anisotropic finite deformation plasticity Part I. A two-back stress model, Acta Mechanica, Vol. 106, pp. 55-72 https://doi.org/10.1007/BF01300944
  14. A. Phillips, J. L. Tang, M. Ricciuti, 1974, Some New Observation on Yield Surfaces, Acta Mechanica, Vol. 20, pp. 23-39 https://doi.org/10.1007/BF01374960
  15. A. Phillips, C. W. Lee, 1979, Yield Surfaces and Loading Surfaces Experiments and Recommendations, International Journal of Solids and Structures, Vol. 15, pp. 715-729 https://doi.org/10.1016/0020-7683(79)90069-6
  16. M. F. Shi, J. C. Gerdeen, E. C. Aifantis, 1993, On finite deformation plasticity with directional softening Part II. Two-component model, Acta Mechanica., Vol. 101, pp. 69-80 https://doi.org/10.1007/BF01175598
  17. S. Bari, T. Hassan, 2000, Anatomy of coupled constitutive models for ratcheting simulation, International Journal of Plasticity, Vol. 16, pp. 381-409 https://doi.org/10.1016/S0749-6419(99)00059-5
  18. S. Bari, T. Hassan, 2002, An advancement in cyclic plasticity modeling for multiaxial ratcheting simulation, International Journal of. Plasticity, Vol. 18, pp. 873-894 https://doi.org/10.1016/S0749-6419(01)00012-2
  19. D.S. Hwang, B.S Lee, Y.S. Lee, S.J. Yun, S.I. Hong, 2000, A study of localization with material properties using numerical method, Transactions of Materials Processing, Vol. 9, No. 4, pp. 395-403
  20. S.J. Yun, 2005, Two Back stress hardening models in rate independent rigid plasticity, Transactions of Materials Processing, Vol. 14, No. 4, pp. 327-337 https://doi.org/10.5228/KSPP.2005.14.4.327