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Buckling and Unbuckling of Superelastic NiTi Tube

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Abstract

Compared with other loading types, compression is preferred for applications of superelastic NiTi due to the significantly longer fatigue life. However, compressive loading induces concerns on potential structural instability. In this paper, a phenomenological constitutive model is proposed for superelastic NiTi and integrated into the finite-element model to account for the buckling behavior of superelastic NiTi tubes. The shell-type buckling, column-type buckling and buckling–unbuckling phenomenon are reproduced and verified with experiments by varying the geometric parameters of NiTi tubes (i.e., diameter-to-thickness ratio and aspect ratio). The reduction in material stiffness associated with the onset and progression of martensitic transformation facilitates column-type buckling. In certain low-aspect-ratio (stout) tubes, unbuckling enables the buckled tube to resume straight configuration under monotonic contraction, which is confirmed to be a consequence of the unique stiff-soft-stiff material law. Shell-type buckling occurs in thin-walled tubes, and it transits to column-type buckling as the tube length increases. A simple theoretical analysis is performed to establish the condition of each buckling type and reasonably good agreement with finite element simulations is reached. The present study will pave the way for the design of anti-buckling shape memory alloy components.

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References

  1. Shaw JA, Grummon DS, Foltz J. Superelastic NiTi honeycombs: fabrication and experiments. Smart Mater Struct. 2007;16:S170.

    Article  Google Scholar 

  2. Bechle NJ, Kyriakides S. Evolution of localization in pseudoelastic NiTi tubes under biaxial stress states. Int J Plast. 2016;82:1–31.

    Article  Google Scholar 

  3. Mohd Jani J, Leary M, Subic A, Gibson MA. A review of shape memory alloy research, applications and opportunities. Mater Des. 2014;56:1078–113.

    Article  Google Scholar 

  4. Chen J, Zhang K, Kan Q, Yin H, Sun Q. Ultra-high fatigue life of NiTi cylinders for compression-based elastocaloric cooling. Appl Phys Lett. 2019;115: 093902.

    Article  Google Scholar 

  5. Hua P, Xia M, Onuki Y, Sun Q. Nanocomposite NiTi shape memory alloy with high strength and fatigue resistance. Nat Nanotechnol. 2021;16:409–13.

    Article  Google Scholar 

  6. Nemat-Nasser S, Choi JY, Isaacs JB, Lischer DW. Quasi-static and dynamic buckling of thin cylindrical shape-memory shells. ASME J Appl Mech. 2006;73:825–33.

    Article  Google Scholar 

  7. Tang Z, Li D. Quasi-static axial buckling behavior of NiTi thin-walled cylindrical shells. Thin Walled Struct. 2012;51:130–8.

    Article  Google Scholar 

  8. Jiang D, Landis CM, Kyriakides S. Effects of tension/compression asymmetry on the buckling and recovery of NiTi tubes under axial compression. Int J Solids Struct. 2016;100–101:41–53.

    Article  Google Scholar 

  9. Jiang D, Bechle NJ, Landis CM, Kyriakides S. Buckling and recovery of NiTi tubes under axial compression. Int J Solids Struct. 2016;80:52–63.

    Article  Google Scholar 

  10. Watkins RT, Reedlunn B, Daly S, Shaw JA. Uniaxial, pure bending, and column buckling experiments on superelastic NiTi rods and tubes. Int J Solids Struct. 2018;146:1–28.

    Article  Google Scholar 

  11. Watkins RT, Shaw JA. Unbuckling of superelastic shape memory alloy columns. J Intel Mater Syst Struct. 2018;29:1360–78.

    Article  Google Scholar 

  12. Damanpack AR, Bodaghi M, Liao WH. Snap buckling of NiTi tubes. Int J Solids Struct. 2018;146:29–42.

    Article  Google Scholar 

  13. Porenta L, Kabirifar P, Žerovnik A, Čebron M, Žužek B, Dolenec M, Brojan M, Tušek J. Thin-walled Ni-Ti tubes under compression: ideal candidates for efficient and fatigue-resistant elastocaloric cooling. Appl Mater Today. 2020;20: 100712.

    Article  Google Scholar 

  14. Richter F, Kastner O, Eggeler G. Finite-element simulation of the anti-buckling-effect of a shape memory alloy bar. J Mater Eng Perform. 2011;20:719–30.

    Article  Google Scholar 

  15. Kazinakis K, Kyriakides S, Jiang D, Bechle NJ, Landis CM. Buckling and collapse of pseudoelastic NiTi tubes under bending. Int J Solids Struct. 2021;221:2–17.

    Article  Google Scholar 

  16. Xiao Y, Jiang D. Rate dependence of transformation pattern in superelastic NiTi tube. Extreme Mech Lett. 2020;39: 100819.

    Article  Google Scholar 

  17. Kan Q, Kang G. Constitutive model for uniaxial transformation ratchetting of super-elastic NiTi shape memory alloy at room temperature. Int J Plast. 2010;26:441–65.

    Article  MathSciNet  Google Scholar 

  18. Yu C, Kang G, Kan Q, Song D. A micromechanical constitutive model based on crystal plasticity for thermo-mechanical cyclic deformation of NiTi shape memory alloys. Int J Plast. 2013;44:161–91.

    Article  Google Scholar 

  19. Yu C, Kang G, Kan Q. Crystal plasticity based constitutive model of NiTi shape memory alloy considering different mechanisms of inelastic deformation. Int J Plast. 2014;54:132–62.

    Article  Google Scholar 

  20. Reedlunn B, Churchill CB, Nelson EE, Shaw JA, Daly SH. Tension, compression, and bending of superelastic shape memory alloy tubes. J Mech Phys Solids. 2014;63:506–37.

    Article  Google Scholar 

  21. Shuai J, Xiao Y. In-situ study on texture-dependent martensitic transformation and cyclic irreversibility of superelastic NiTi shape memory alloy. Metall Mater Trans A. 2020;51:562–7.

    Article  Google Scholar 

  22. Xiao Y, Jiang D. Constitutive modelling of transformation pattern in superelastic NiTi shape memory alloy under cyclic loading. Int J Mech Sci. 2020;182: 105743.

    Article  Google Scholar 

  23. Rezaee-Hajidehi M, Stupkiewicz S. Modelling of propagating instabilities in pseudoelastic NiTi tubes under combined tension-torsion: helical bands and apparent yield locus. Int J Solids Struct. 2021;221:130–49.

    Article  Google Scholar 

  24. Hossain MA, Baxevanis T. A finite strain thermomechanically-coupled constitutive model for phase transformation and (transformation-induced) plastic deformation in NiTi single crystals. Int J Plast. 2021;139: 102957.

    Article  Google Scholar 

  25. Pugsley AG. On the crumpling of thin tubular struts. Q J Mech Appl Math. 1979;32:1–7.

    Article  Google Scholar 

Download references

Acknowledgements

Yao Xiao is grateful to the support from the Fundamental Research Funds for the Central Universities. Dongjie Jiang is sponsored by the National Natural Science Foundation of China (Grant No. 11902195).

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Authors and Affiliations

  1. School of Mechanical Engineering, Tongji University, Shanghai, 201804, China

    Yao Xiao

  2. Institute for Advanced Study, Tongji University, Shanghai, 200092, China

    Yao Xiao

  3. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, 200240, China

    Dongjie Jiang

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  1. Yao Xiao
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  2. Dongjie Jiang
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Xiao, Y., Jiang, D. Buckling and Unbuckling of Superelastic NiTi Tube. Acta Mech. Solida Sin. 35, 647–660 (2022). https://doi.org/10.1007/s10338-021-00303-2

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  • DOI: https://doi.org/10.1007/s10338-021-00303-2

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