Skip to main content
Log in

Advances in Transformation Ratcheting and Ratcheting-Fatigue in Teraction of NiTi Shape Memory Alloy

  • Published:
Acta Mechanica Solida Sinica Aims and scope Submit manuscript

Abstract

The accumulation of inelastic deformation occurring in NiTi shape memory alloy under the stress-controlled cyclic loading condition is named transformation ratcheting, since it is mainly caused by the solid-solid transformation from austenite to martensite phase and vice versa. The transformation ratcheting and its effect on the fatigue life (i.e., transformation-fatigue interaction) are key issues that should be addressed in order to assess the fatigue of NiTi shape memory alloy more accurately. In this paper, the advances in the studies on the transformation ratcheting and ratcheting-fatigue interaction of super-elastic NiTi shape memory alloy in recent years are reviewed: First, experimental observation of the uniaxial transformation ratcheting and ratcheting-fatigue interaction of super-elastic NiTi alloy under the stress-controlled cyclic loading conditions is treated, and the detrimental effect of transformation ratcheting on the fatigue life is addressed; Secondly, two types of cyclic constitutive models (i.e., a macroscopic phenomenological model and a micromechanical one based on crystal plasticity) constructed to describe the transformation ratcheting of super-elastic NiTi alloy are discussed; Furthermore, an energy-based failure model is provided and dealt with by comparing its predicted fatigue lives with experimental ones; Finally, some suggestions about future work are made.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Humbeeck, J.V., Non-medical applications of shape memory alloys. Materials Science and Engineering A, 1999, 273–275: 134–148.

    Google Scholar 

  2. Morgan, N.B., Medical shape memory alloy applications—the market and its products. Materials Science and Engineering A, 2004, 378: 16–23.

    Article  Google Scholar 

  3. Fu, Y., Du, H., Zhang, S. and Hu, M., TiNi-based thin films in MEMS applications: a review. Sensors Actuators A, 2004, 112: 395–408.

    Article  Google Scholar 

  4. Kang, G.Z., Research progress in cyclic deformation of super-elastic NiTi shape memory alloy. Journal of Southwest Jiaotong University, 2011, 46(3): 355–364 (in Chinese).

    Google Scholar 

  5. Hu, Z.L., Meso-mechanical analysis of shape memory alloy reinforced smart structure with damage. Acta Mechanica Solida Sinica, 2006, 19(3): 189–195.

    Article  MathSciNet  Google Scholar 

  6. Dong, L. and Sun, Q.P., Stress hysteresis and domain evolution in thermoelastic tension strips. Acta Mechanica Solida Sinica, 2009, 22(5): 399–406.

    Article  Google Scholar 

  7. He, Y.J. and Sun, Q.P., Non-local modeling on macroscopic domain patterns in phase transformation of NiTi tubes. Acta Mechanica Solida Sinica, 2009, 22(5): 407–417.

    Article  Google Scholar 

  8. Zhu, Y.P. and Dui, G.S., Influence of magnetization rotation on martensite reorientation in magnetic shape memory alloy. Acta Mechanica Solida Sinica, 2010, 23(1): 13–19.

    Article  Google Scholar 

  9. Morin, C., Moumni, Z. and Zaki, W., Thermomechanical coupling in shape memory alloys under cyclic loadings: Experimental analysis and constitutive modeling. International Journal of Plasticity, 2011, 27: 1959–1980.

    Article  Google Scholar 

  10. Delville, R., Malard, B., Pilch, J., Sittner, P. and Schryvers, D., Transmission electron microscopy investigation of dislocation slip during superelastic cycling of Ni–Ti wires. International Journal of Plasticity, 2011, 27: 282–297.

    Article  Google Scholar 

  11. Zhu, Y.P. and Dui, G.S., A model considering hydrostatic stress of porous NiTi shape memory alloy. Acta Mechanica Solida Sinica, 2011, 24(4): 289–298.

    Article  Google Scholar 

  12. Saleeb, A.F., Padula II, S.A. and Kumar, A., A multi-axial, multimechanism based constitutive model for the comprehensive representation of the evolutionary response of SMAs under general thermomechanical loading conditions. International Journal of Plasticity, 2011, 27: 655–687.

    Article  Google Scholar 

  13. Peng, X.H., Chen, B., Chen, X., Wang, J. and Wang, H.Y., A constitutive model for transforamtion, reorientation and plastic deformation of shape memory alloys. Acta Mechanica Solida Sinica, 2012, 25: 285–298.

    Article  Google Scholar 

  14. Strnadel, B., Ohashi, S., Ohtsuka, H., Miyazaki, S. and Ishihara, T., Cyclic stress-strain characteristics of Ti-Ni and Ti-Ni-Cu shape memory alloys. Materials Science and Engineering A, 1995, 202: 148–156.

    Article  Google Scholar 

  15. Strnadel, B., Ohashi, S., Ohtsuka, H., Miyazaki, S. and Ishihara, T., Effect of mechanical cycling on the pseudoelasticity characteristics of Ti-Ni and Ti-Ni-Cu alloys. Materials Science and Engineering A, 1995, 203: 187–196.

    Article  Google Scholar 

  16. Sehitoglu, H., Anderson, R., Karaman, L., Gall, K. and Chumlyakov, Y., Cyclic deformation behaviour of single crystal NiTi. Materials Science and Engineering A, 2001, 314: 67–74.

    Article  Google Scholar 

  17. Gall, K. and Maier, H.J., Cyclic deformation mechanisms in precipitated NiTi shape memory alloys. Acta Materialia, 2002, 50: 4643–4657.

    Article  Google Scholar 

  18. Nemat-Nasser, S. and Guo, W.G., Superelastic and cyclic response of NiTi SMA at various strain rates and temperatures. Mechanics of Materials, 2006, 38: 463–474.

    Article  Google Scholar 

  19. Predki, W., Klonne, M. and Knopik, A., Cyclic torsional loading of pseudoelastic NiTi shape memory alloys: damping and fatigue failure. Materials Science and Engineering A, 2006, 203: 182–189.

    Article  Google Scholar 

  20. Kang, G.Z., Kan, Q.H., Qian, L.M. and Liu, Y.J., Ratchetting deformation of superelastic and shape memory NiTi alloys. Mechanics of Materials, 2009, 41: 139–153.

    Article  Google Scholar 

  21. Kan, Q.H. and Kang, G.Z., Constitutive model for uniaxial transformation ratchetting of super-elastic NiTi shape memory alloy at room temperature. International Journal of Plasticity, 2010, 26: 441–465.

    Article  MathSciNet  Google Scholar 

  22. Yu, C., Kang, G.Z., Kan, Q.H. and Song, D., A micromechanical constitutive model based on crystal plasticity for thermo-mechanical cyclic deformation of NiTi shape memory alloys. International Journal of Plasticity, 2013, 44: 161–191.

    Article  Google Scholar 

  23. Kang, Z., Kan, Q.H., Yu, C., Song, D. and Liu, Y.J., Whole-life transformation ratcheting and fatigue of super-elastic NiTi alloy under uniaxial stress-controlled cyclic loading. Materials Science and Engineering A, 2012, 535: 228–234.

    Article  Google Scholar 

  24. Kan, Q.H., Kang, G.Z., Yan, W.Y. and Yu, C., An energy-based fatigue failure model of superelastic NiTi alloy under pure mechanical cyclic loading. Proceedings of SPIE, 2012, 8409: 8409DF-1.

    Google Scholar 

  25. Feng, X.Q. and Sun, Q.P., Shakedown analysis of shape memory alloy structures. International Journal of Plasticity, 2007, 23: 183–206.

    Article  Google Scholar 

  26. Patoor, E., Lagoudas, D.C., Entchev, P.B., Brinson, L.X. and Gao, X., Shape memory alloys, Part I: General properties and modeling of single crystals. Mechanics of Materials, 2006, 38: 391–429.

    Article  Google Scholar 

  27. Lagoudas, D.C., Entchev, P.B., Popov, P., Patoor, E., Brinson, L.C. and Gao, X.J., Shape memory alloys, Part II: modeling of polycrystals. Mechanics of Materials, 2006, 38: 430–462.

    Article  Google Scholar 

  28. Wang, X.M., Xu, B.X. and Yue, Z.F., Micromechanical modeling of the effect of plastic deformation on the mechanical behavior in pseudoelastic shape memory alloys. International Journal of Plasticity, 2008, 24: 1307–1332.

    Article  Google Scholar 

  29. Thamburaja, P., Pan, H. and Chau, F.S., The evolution of microstructure during twinning: Constitutive equations, finite-element simulations and experimental verification. International Journal of Plasticity, 2009, 25: 2141–2168.

    Article  Google Scholar 

  30. Lubliner, J. and Auricchio, F., Generalized plasticity and shape memory alloys. International Journal of Solids and Structures, 1996, 33: 991–1003.

    Article  Google Scholar 

  31. Auricchio, F., A robust integration-algorithm for a finite-strain shape memory alloy superelastic model. International Journal of Plasticity, 2001, 17: 971–990.

    Article  Google Scholar 

  32. Kan, Q.H., Kang, G.Z. and Guo, S.J., Finite element implementation of a super-elastic constitutive model for transformation ratcheting of NiTi alloy. International Journal of Computational Methods, 2012, 9(1): 1240022 (12 pages).

    Article  MathSciNet  Google Scholar 

  33. Yu, C., Kang, G.Z., Song, D. and Kan, Q.H., Micromechanical constitutive model considering plasticity for super-elastic NiTi shape memory alloy. Computational Materials Science, 2012, 56: 1–5.

    Article  Google Scholar 

  34. Bo, Z. and Lagoudas, D.C., Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part III: evolution of plastic strains and two-way memory effect. International Journal of Engineering Science, 1999, 37: 1141–1173.

    Article  MathSciNet  Google Scholar 

  35. Moumni, Z., Herpen, A.V. and Riberty, P., Fatigue analysis of shape memory alloys: energy approach. Smart Materials and Structures, 2005, 14: S287–S292.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Guozheng Kang.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11025210) and Sichuan Provincial Youth Science and Technology Innovation Team, China (2013).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kang, G. Advances in Transformation Ratcheting and Ratcheting-Fatigue in Teraction of NiTi Shape Memory Alloy. Acta Mech. Solida Sin. 26, 221–236 (2013). https://doi.org/10.1016/S0894-9166(13)60021-X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S0894-9166(13)60021-X

Key Words

Navigation