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One-Dimensional Heat Source Reconstruction Applied to Phase Transforming Superelastic Ni-Ti Wire

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Residual Stress, Thermomechanics & Infrared Imaging and Inverse Problems, Volume 6

Abstract

The study deals with the reconstruction of heat sources originating from deformation processes in metals. A one-dimensional method to be applied on wires or bars is introduced and tested on superelastic NiTi wire subjected to force-controlled loading and unloading. Infrared thermography was used for this purpose. Thermal data were then processed by heat source reconstruction technique using a one-dimensional version of the heat diffusion equation. Attention was paid to the identification of the heat exchanges with the specimen’s environment, in particular by convection to the air of ambient temperature. The sensitivity of the method to the degree of spatio-temporal filtering was also tested. Finally, the localization of martensitic transformation in superelastic NiTi was evaluated using the proposed method. It is shown that under force-control regime the phase transformation proceeds in two time-shifted bursts, where each of bursts consists in several displaced and nearly simultaneous transforming zones. This transformation sequence is rationalized by fast latent heat release from the transforming zone upon load control regime, which leads to overheating of surrounding zones thus temporarily suppressing their transformation.

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References

  1. C. Otsuka, K. Wayman, Shape Memory Materials (Cambridge University Press, Cambridge, 1999)

    Google Scholar 

  2. H. Yin, Y. He, Q. Sun, Effect of deformation frequency on temperature and stress oscillations in cyclic phase transition of NiTi shape memory alloy. J. Mech. Phys. Solids 67, 100–128 (2014)

    Article  Google Scholar 

  3. S. Miyazaki, T. Imai, K. Otsuka, Y. Suzuki, Lüders-like deformation observed in the transformation pseudoelasticity of a Ti-Ni alloy. Scr. Metall. 15, 853–856 (1981)

    Article  Google Scholar 

  4. H. Louche, P. Schlosser, D. Favier, L. Orgéas, Heat source processing for localized deformation with non-constant thermal conductivity. Application to superelastic tensile tests of NiTi shape memory alloys. Exp. Mech. 52(9), 1313–1328 (2012)

    Article  Google Scholar 

  5. J.A. Shaw, S. Kyriakides, Thermomechanical aspects of NiTi. J. Mech. Phys. Solids 43(8), 1243–1281 (1995)

    Article  Google Scholar 

  6. J.A. Shaw, S. Kyriakides, Initiation and propagation of localized deformation in elasto-plastic strips under uniaxial tension. Int. J. Plast. 13(10), 837–871 (1997)

    Article  Google Scholar 

  7. J.A. Shaw, S. Kyriakides, On the nucleation and propagation of phase transformation fronts in a NiTi alloy. Acta Mater. 45(2), 683–700 (1997)

    Article  Google Scholar 

  8. P. Sittner, Y. Liu, V. Novak, On the origin of Lüders-like deformation of NiTi shape memory alloys. J. Mech. Phys. Solids 53, 1719–1746 (2005)

    Article  Google Scholar 

  9. X. Balandraud, E. Ernst, E. Soós, Rheological phenomena in shape memory alloys. C.R. Acad. Sci., Ser. IIb: Mec., Phys., Chim., Astron. 327(1), 33–39 (1999)

    MATH  Google Scholar 

  10. X. Balandraud, A. Chrysochoos, S. Leclercq, R. Peyroux, Influence of the thermomechanical coupling on the propagation of a phase change front. C.R. Acad. Sci., Ser. IIb: Mec. 329, 621–626 (2001)

    Google Scholar 

  11. D. Delpueyo, X. Balandraud, M. Grédiac, S. Stanciu, N. Cimpoesu, A specific device for enhanced measurement of mechanical dissipation in specimens subjected to long-term tensile tests in fatigue. Strain 54, e1225 (2018)

    Article  Google Scholar 

  12. A. Chrysochoos, H. Louche, An infrared image processing to analyse the calorific effects accompanying strain localisation. Int. J. Eng. Sci. 38(16), 1759–1788 (2000)

    Article  Google Scholar 

  13. V. Delobelle, D. Favier, H. Louche, N. Connesson, Determination of local thermophysical properties and heat of transition from thermal fields measurement during drop calorimetric experiment. Exp. Mech. 55, 711–725 (2015)

    Article  Google Scholar 

  14. P. Jongchansitto, C. Douellou, I. Preechawuttipong, X. Balandraud, Comparison between 0D and 1D approaches for mechanical dissipation measurement during fatigue tests. Strain 55, e12307 (2019)

    Article  Google Scholar 

  15. C. Zanotti, P. Giuliani, A. Chrysanthou, Martensitic-austenitic phase transformation of Ni-Ti SMAs: Thermal properties. Intermetallics 24, 106–114 (2012)

    Article  Google Scholar 

  16. D. Delpueyo, X. Balandraud, M. Grédiac, Heat source reconstruction from noisy temperature fields using an optimised derivative Gaussian filter. Infrared Phys. Technol. 60, 312–322 (2013)

    Article  Google Scholar 

  17. H. Louche, Analyse par thermographie infrarouge des effets dissipatifs de la localisation dans des aciers. Mécanique [physics.med-ph], Université Montpellier II - Sciences et Techniques du Languedoc, 1999 (in French)

    Google Scholar 

  18. J. Pilch, L. Heller, P. Sittner, Final thermomechanical treatment of thin NiTi filaments for textile applications by electric current, in ESOMAT 2009 - 8th European Symposium on Martensitic Transformations Prague, EDP Sciences, vol 05024 (2009). https://doi.org/10.1051/esomat/200905024

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Acknowledgements

This publication was supported by OP RDE, MEYS, under the project “European Spallation Source—participation of the Czech Republic—OP”, “Reg. No. CZ.02.1.01/0.0/0.0/16_013/0001794”. A.J. acknowledges the support received from the Agence Nationale de la Recherche of the French government through the program “Investissements d’Avenir” (16-IDEX-0001 CAP 20-25). M.K. would like to acknowledge financial support of the ERDF in the frame of the Project No. CZ.02.1.01/0.0/0.0/15_003/0000485.

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Correspondence to Antoine Jury .

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Jury, A., Balandraud, X., Heller, L., Alarcon, E., Karlik, M. (2020). One-Dimensional Heat Source Reconstruction Applied to Phase Transforming Superelastic Ni-Ti Wire. In: Baldi, A., Kramer, S., Pierron, F., Considine, J., Bossuyt, S., Hoefnagels, J. (eds) Residual Stress, Thermomechanics & Infrared Imaging and Inverse Problems, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-30098-2_6

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  • DOI: https://doi.org/10.1007/978-3-030-30098-2_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-30097-5

  • Online ISBN: 978-3-030-30098-2

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