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An Improved Constitutive Model of Shape Memory Alloy

형상기억합금의 개선된 구성적 모델

  • 호광수 (계명대학교 기계자동차공학과)
  • Received : 2011.05.19
  • Accepted : 2011.07.15
  • Published : 2011.08.01

Abstract

Shape memory alloys(SMAs) exhibit pseudoelastic behavior, characterized by the recovery of an original shape even after severe deformation, during loading and unloading within appropriate temperature regimes. The distinctive mechanical behavior is associated with stress-induced transformation of austenite to martensite during loading and reverse transformation to austenite upon unloading. To develop a material model for SMAs, it is imperative to consider the difference in moduli of active phases. For example, the Young’s modulus of the martensite is one-third to one half of that of the austenite. The model proposed herein is a modification of the one proposed recently by Ho[17]. The prediction of the behavior of SMAs during unloading before the onset of reverse transformation was improved by introducing a new internal state variable incorporating the variation of the elastic modulus.

Keywords

References

  1. K. Otsuka, C. M. Wayman, 1998, Shape memory materials, Cambridge University Press, Cambridge.
  2. V. Birman, 1997, Review of mechanics of shape memory alloy structures, Appli. Mech. Reviews, Vol. 50, pp. 629-645. https://doi.org/10.1115/1.3101674
  3. E. Patoor, A. Eberhardt, M. Berveiller, 1996, Micromechanical modeling of superelasticity in shape memory alloys, J. Phys. IV, Vol. 6, pp. 277-292.
  4. C. Lexcellent, B. C. Goo, Q. P. Sun, J. Bernardint, 1996, Characterization, thermomechanical behavior and micromechanical-based constitutive model of shape-memory Cu-Zn-Al single crystals, Acta Mater., Vol. 44, pp. 3773-3780. https://doi.org/10.1016/1359-6454(95)00452-1
  5. T. J. Lim, D. L. McDowell, 2002, Cyclic thermomechanical behavior of a polycrystalline pseudoelastic shape memory alloy, J. Mech. Phys. Solids, Vol. 50, pp. 651-676. https://doi.org/10.1016/S0022-5096(01)00088-6
  6. K. Tanaka, S. Nagaki, 1982, A thermomechanical description of materials with internal variable in the process of phase transitions, Ing. Arch., Vol. 51, pp. 287-299. https://doi.org/10.1007/BF00536655
  7. M. A. Qidwai, D. C. Lagoudas, 2000, On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material, Int. J. Plasticity, Vol. 16, pp. 1309-1343. https://doi.org/10.1016/S0749-6419(00)00012-7
  8. Z. Moumni, W. Zaki, Q. S. Nguyen, 2008, Theoretical and numerical modeling of solid-solid phase change: Application to the description of the thermomechanical behavior of shape memory alloys, Int. J. Plasticity., Vol. 24, pp. 614-645. https://doi.org/10.1016/j.ijplas.2007.07.007
  9. H. Warlimont, L. Delay, H. T. Krishnan, H. Tas, 1974, Thermoelasticity, pseudoelasticity and the memory effects associated with martensitic transformations, J. Mater. Sci., Vol. 9, pp. 1545-1555. https://doi.org/10.1007/BF00552941
  10. D. C. Lagoudas (Ed.), 2007, Shape memory alloys: Modeling and engineering applications, Springer.
  11. J. A. Shaw, S. Kyriakides, 1995, Thermomechanical aspects of NiTi, J. Mech. Phys. Solids, Vol. 8, pp. 1243-1281.
  12. D. C. Lagoudas, P. B. Entchev, 2004, Modelling of transformation-induced plasticity and its effect on the behavior of porous shape memory alloys, Part I: constitutive model for fully dense SMAs, Mech. Mater., Vol. 36, pp. 865-892. https://doi.org/10.1016/j.mechmat.2003.08.006
  13. P. G. McCormick, Y. Liu, 1994, Thermodynamic analysis of the martensitic transformation in TiNi-II. Effect of transformation cycling, Acta Metall. Mater., Vol. 42, pp. 2407-2413. https://doi.org/10.1016/0956-7151(94)90319-0
  14. H. Sehitoglu, R. Anderson, L. Karaman, K. Gall, Y. Chumlyakov, 2001, Cyclic deformation behavior of single crystal NiTi, Mater. Sci. Eng. A, Vol. 314, pp. 67-74. https://doi.org/10.1016/S0921-5093(00)01924-9
  15. F. Auricchio, A. Reali, U. Stefanelli, 2007, A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity, Int. J. Plasticity, Vol. 23, pp. 207-226. https://doi.org/10.1016/j.ijplas.2006.02.012
  16. Q. Kan, G. Kang, 2010, Constitutive model for uniaxial transformation ratcheting of super-elastic NiTi shape memory alloy at room temperature, Int. J. Plasticity, Vol. 26, pp. 441-465. https://doi.org/10.1016/j.ijplas.2009.08.005
  17. K. Ho, 2010, A phenomenological constitutive model for pseudoelastic shape memory alloy, Trans. Mater. Process., Vol. 19, No.8, pp. 468-473. https://doi.org/10.5228/KSTP.2010.19.8.468

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