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Journal of Metallurgy
Volume 2011 (2011), Article ID 563413, 14 pages
http://dx.doi.org/10.1155/2011/563413
Research Article

One-Dimensional Constitutive Model of Shape Memory Alloy with an Empirical Kinetics Equation

1State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China
2China Three Gorges Corporation, Yichang, Hubei Province 443133, China
3Department of Transportation of Henan Province, Zhengzhou 450052, China

Received 8 November 2010; Accepted 11 January 2011

Academic Editor: D. H. Ping

Copyright © 2011 Lei Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. B. Greninger and V. G. Mooradian, “Strain transformation in metastable beta copper-zinc and beta copper-tin alloys,” Transactions of the Metallurgical Society of AIME, vol. 128, pp. 337–368, 1938.
  2. W. J. Buehler, J. V. Gilfrich, and R. C. Wiley, “Effect of low-temperature phase changes on the mechanical properties of alloys near composition TiNi,” Journal of Applied Physics, vol. 34, no. 5, pp. 1475–1477, 1963. View at Publisher · View at Google Scholar · View at Scopus
  3. L. Delaey, R. V. Krishnan, H. Tas, and H. Warlimont, “Thermoelasticity, pseudoelasticity and the memory effects associated with martensitic transformations—part 1: structural and microstructural changes associated with the transformations,” Journal of Materials Science, vol. 9, no. 9, pp. 1521–1535, 1974. View at Publisher · View at Google Scholar · View at Scopus
  4. R. V. Krishnan, L. Delaey, H. Tas, and H. Warlimont, “Thermoplasticity, pseudoelasticity and the memory effects associated with martensitic transformations—part 2: the macroscopic mechanical behaviour,” Journal of Materials Science, vol. 9, no. 9, pp. 1536–1544, 1974. View at Publisher · View at Google Scholar · View at Scopus
  5. H. Warlimont, L. Delaey, R. V. Krishnan, and H. Tas, “Thermoelasticity, pseudoelasticity and the memory effects associated with martensitic transformations—part 3: thermodynamics and kinetics,” Journal of Materials Science, vol. 9, no. 9, pp. 1545–1555, 1974. View at Publisher · View at Google Scholar · View at Scopus
  6. F. Hiroyasu, Shape Memory Alloys, Gordon and Breach, New York, NY, USA, 1987.
  7. K. Otsuka and C. M. Wayman, Shape Memory Materials, Cambridge University Press, Cambridge, UK, 1998.
  8. K. Tanaka and S. Nagaki, “A thermomechanical description of materials with internal variables in the process of phase transitions,” Ingenieur-Archiv, vol. 51, no. 5, pp. 287–299, 1982. View at Publisher · View at Google Scholar · View at Scopus
  9. K. Tanaka, “A thermomechanical sketch of shape memory effect: one-dimensional tensil behavior,” Res Mechanica, vol. 18, no. 3, pp. 251–263, 1986. View at Scopus
  10. L. Chen, Constitutive modeling of shape memory alloys, Ph.D. thesis, VPI, Blacksburg, Va, USA, 1990.
  11. L. C. Brinson, “One-dimensional constitutive behavior of shape memory alloys: thermomechanical derivation with non-constant material functions and redefined martensite internal variable,” Journal of Intelligent Material Systems and Structures, vol. 4, no. 2, pp. 229–242, 1993. View at Scopus
  12. J. Zhu, N. Liang, W. Huang, K. M. Liew, and Z. Liu, “A thermodynamic constitutive model for stress induced phase transformation in shape memory alloys,” International Journal of Solids and Structures, vol. 39, no. 3, pp. 741–763, 2002. View at Publisher · View at Google Scholar · View at Scopus
  13. Q. P. Sun and K. C. Hwang, “Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys-I. Derivation of general relations,” Journal of the Mechanics and Physics of Solids, vol. 41, no. 1, pp. 1–17, 1993. View at Scopus
  14. Q. P. Sun and K. C. Hwang, “Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys-II. Study of the individual phenomena,” Journal of the Mechanics and Physics of Solids, vol. 41, no. 1, pp. 19–33, 1993. View at Scopus
  15. M. Brocca, L. C. Brinson, and Z. P. Bažant, “Three-dimensional constitutive model for shape memory alloys based on microplane model,” Journal of the Mechanics and Physics of Solids, vol. 50, no. 5, pp. 1051–1077, 2002. View at Scopus