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On the Role of Kinematic Hardening Rules in Predicting Relaxation Behavior

응력이완 거동의 예측에 대한 이동경화법칙의 역할

  • 호광수 (계명대학교 기계자동차공학부)
  • Published : 2008.12.01

Abstract

Numerous experimental investigations on metallic materials and solid polymers have shown that relaxation behavior is nonlinearly dependent on prior strain rate. The stress drops in a constant time interval nonlinearly increase with an increase of prior strain rate. And the relaxed stress associated with the fastest prior strain rate has the smallest stress magnitude at the end of relaxation periods. This paper deals with the performance of three classes of unified constitutive models in predicting the characteristic behaviors of relaxation. The three classes of models are categorized by a rate sensitivity of kinematic hardening rule. The first class uses rate-independent kinematic hardening rule that includes the competing effect of strain hardening and dynamic recovery. In the second class, a stress rate term is incorporated into the rate-independent kinematic hardening rule. The final one uses a rate-dependent format of kinematic hardening rule.

Keywords

References

  1. J. Lemaitre, 2001, Materials behavior models, Academic Press, San Diego
  2. J. Lemaitre, J. L. Chaboche, 1994, Mechanics of solid materials, Oxford University Press, Cambridge
  3. E. Krempl, 1979, An experimental study of roomtemperature rate sensitivity, creep and relaxation of AISI Type 304 stainless steel, J. Mech. Phys. Solids, Vol. 27, pp. 363-375 https://doi.org/10.1016/0022-5096(79)90020-6
  4. P. S. Majors, E. Krempl, 1994, The isotropic viscoplasticity theory based on overstress applied to the modeling of modified 9Cr-1Mo steel at $538^{\circ}C$, Mat. Sci. and Eng., Vol. 186, pp. 23-34 https://doi.org/10.1016/0921-5093(94)90302-6
  5. M. Yaguchi, Y. Takahashi, 1999, Unified constitutive model for modified 9Cr-1Mo steel incorporating dynamic strain aging effect, JSME Int. J (Series A), Vol. 42, pp. 1-10 https://doi.org/10.1299/jsmea.42.1
  6. M. Yaguchi, M. Yamamoto, T. Ogata, 2002, A viscoplastic constitutive model for nickel-base superalloy, part 2: modeling under anisothermal conditions, Int. J. Plasticity, Vol. 18, pp. 1111-1131 https://doi.org/10.1016/S0749-6419(01)00030-4
  7. C. M. Bordonaro, E. Krempl, 1992, Effect of strain rate on the deformation and relaxation behavior of 6/6 Nylon at room temperature, Poly. Eng. And Sci., Vol. 32, pp. 1066-1072 https://doi.org/10.1002/pen.760321604
  8. E. Krempl, F. Khan, 2003, Rate (time)-dependent deformation behavior: an overview of some properties of metals and solid polymers, Int. J. Plasticity, Vol. 19, pp. 1069-1095 https://doi.org/10.1016/S0749-6419(03)00002-0
  9. A. Khan, B. Farrokh, 2006, Thermo-mechanical response of nylon 101 under uniaxial and multiaxial loadings: Part I, Experimental results over wide ranges of temperatures and strain rates, Int. J. Plasticity, Vol. 22, pp. 1506-1529 https://doi.org/10.1016/j.ijplas.2005.10.001
  10. E. Krempl, T. Nakamura, 1998, The influence of the equilibrium stress growth law formulation on the modeling of recently observed relaxation behaviors, JSME Int. J. (Series A), Vol. 41, pp. 103-111 https://doi.org/10.1299/jsmea.41.103
  11. E. Krempl, 2001, Relaxation behavior and modeling, Int. J. Plasticity, Vol. 17, pp. 1419-1436 https://doi.org/10.1016/S0749-6419(00)00092-9
  12. J. L. Chaboche, D. Nouaihas, 1989, A unified constitutive model for cyclic viscoplasticity and its applications to various stainless steel, J. Eng. Mat. Tech., Vol. 111, pp. 424-430 https://doi.org/10.1115/1.3226490
  13. N. Ohno, M. Abdel-Karim, 2000, Uniaxial ratcheting of 316FR steel at room temperature-Part II: constitutive modeling and simulation, J. Eng. Mat. Tech., Vol. 122, pp. 35-41 https://doi.org/10.1115/1.482762
  14. 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 Mech., Vol. 160, pp. 27-44 https://doi.org/10.1007/s00707-002-0966-1
  15. K. Ho, 2000, Modeling of positive, negative and zero rate sensitivity by using the viscoplasticity theory based on overstyress (VBO), Mechanics of Time-Dependent Mat., Vol. 4, pp. 21-42 https://doi.org/10.1023/A:1009850608336
  16. K. Ho, 2001, Modeling of nonlinear rate sensitivity by using an overstress model, Comp. Model. Eng. Sci., Vol. 2, pp. 351-364
  17. K. Ho, 2004, A study on strain rate sensitivity by unified viscoplasticity, Trans. of Materials Processing, Vol. 13, pp. 600-607 https://doi.org/10.5228/KSPP.2004.13.7.600
  18. K. Ho, 2006, Unified constitutive equations of viscoplastic deformation: development and capabilities, JSME Int. J. (Series A), Vol. 49, pp. 138-146 https://doi.org/10.1299/jsmea.49.138
  19. K. Ho, 2007, The rate dependent deformation behavior of AISI type 304 stainless steel at room temperature, Trans. of Materials Processing, Vol. 16, pp. 101-106 https://doi.org/10.5228/KSPP.2007.16.2.101
  20. K. Ho, 2008, Effect of the rate dependence of nonlinear kinematic hardening rule on relaxation behavior, Int. J. Solids structures, Vol. 45, pp. 821-839 https://doi.org/10.1016/j.ijsolstr.2007.09.003