Transactions of Materials Processing (소성∙가공)

The Korean Society for Technology of Plasticity and materials processing (한국소성∙가공학회)
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Viscoplastic Constitutive Equations for Ratchetting Behavior

라체팅 거동에 대한 점소성 구성방정식

  • 호광수 (계명대학교 기계자동차공학부)
  • Published : 2005.08.01
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Abstract

Inelastic deformation behavior of metals and alloys is considered rate dependent. Uniaxial ratcheting experiments performed by Ruggles and Krempl, and Hassan and Kyriakides exhibited that higher mean stress for a fixed stress amplitude resulted in higher ratchet strain within a rate independent framework and higher stress rate resulted in lower ratchet strain, respectively. These phenomena are qualitatively investigated by numerical experiments through unified viscoplasticity theory. The theory does not separate rate-independent plasticity and rate-dependent creep, and thus uses only one inelastic strain to describe inelastic deformation processes with the concept of the yield surface. The growth law for the kinematic stress, which is a tensor valued state variable of the constitutive equations, is modified to predict the linear evolution of long-term ratchet strain.

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References

  1. M. B. Ruggles, E. Krempl, 1990, The interaction of cyclic hardening and ratcheting for AISI type 304 stainless steel at room temperature: I. Experiment, Journal of the Mechanics and physics of Solids, Vol. 38, pp. 575-585 https://doi.org/10.1016/0022-5096(90)90015-V
  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. O. U. Colak, E. Krempl, 2003, Modeling of uniaxial and biaxial ratcheting behavior of 1026 carbon steel using the simplified viscoplasticity theory based on overstress (VBO), Acta Mechanica, Vol. 160, pp. 27-44 https://doi.org/10.1007/s00707-002-0966-1
  4. 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
  5. J. L. Chaboche, D. Nouailhas, 1989, Constitutive modeling of ratcheting effects: I. Experimental facts and properties of the classical models, Journal of Engineering Materials and Technology, Vol. 111, pp. 384-392 https://doi.org/10.1115/1.3226484
  6. N. Ohno, J. Wang, 1993, Kinematic hardening rules with critical state of dynamic recovery: 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
  7. K. Ho, E. Krempl, 2000, Modeling of positive negative and zero rate sensitivity by using the viscoplasticity theory based on overstress (VBO), Mechanics of Time-Dependent Materials, Vol. 4, pp. 21-42 https://doi.org/10.1023/A:1009850608336
  8. K. Ho, E. Krempl, 2001, The modeling of unusual rate sensitivity inside and outside the dynamic strain regime, Journal of Engineering Materials and Technology, Vol. 123, pp. 28-35 https://doi.org/10.1115/1.1286233
  9. K. Ho, E. Krempl, 2002, Extension of the viscoplasticity theory based on overstress (VBO) to capture non-standard rate dependence in solids, International Journal of Plasticity, Vol. 18, pp. 851-872 https://doi.org/10.1016/S0749-6419(01)00011-0
  10. 호광수, 2004, 점소성 이론에 의한 변형률 속도 민감도에 대한 연구, 한국소성가공학회지, 제 13권 7호, pp. 600-607 https://doi.org/10.5228/KSPP.2004.13.7.600
  11. M. Mizuno, Y. Mima, M. Abdel-Karim, N. Ohno, 2000, Uniaxial ratcheting of 316FR steel at room temperature-Part I: Experiments, Journal of Engineering Materials and Technology, Vol. 122, pp. 29-34 https://doi.org/10.1115/1.482761