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Reconstruction of Heat Sources Induced in Superelastically Loaded Ni-Ti Wire By Localized Deformation Processes

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Abstract

Background

Shape memory alloys (SMAs) are phase transforming materials featuring strong thermomechanical couplings. Infrared thermography and heat source reconstruction (HSR) enable to track the calorific signature of deformation processes.

Objective

The objective was to characterize the transformation processes in a superelastic nickel-titanium SMA wire subjected to a force-controlled superelastic tensile cycle.

Methods

In-situ recorded thermographs were converted into spatiotemporal maps of heat sources using an in-house developed post-processing method based on the heat diffusion equation resolved numerically for unknown heat sources.

Results

Sequentially appearing patterns of localized transformation events of four types were identified and associated with martensite bands nucleations and their subsequent merging upon tensile loading. Analogically, the events associated with austenite bands nucleations and their subsequent merging were identified upon unloading. In addition, weak heat sources observed before and after the localized transformation events were associated with the homogeneous martensitic transformation.

Conclusions

The intrinsic dissipation heat associated with the nucleation and merging events is estimated to be ~ 25% of the released/absorbed latent heat.

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References

  1. Otsuka K, Wayman CM (1999) Shape memory materials. Cambridge University Press, Cambridge

  2. Lagoudas DC (2010) Shape memory alloys: Modeling and engineering applications. Springer Science, New York

  3. Lexcellent C (2013) Shape-memory alloys handbook. Wiley, Hoboken

  4. Yoneyama T, Miyazaki S (2009) Shape memory alloys for biomedical applications. Woodhead Publishing, Cambridge

    Book  Google Scholar 

  5. Racek J, Stora M, Šittner P, Heller L, Kopeček J, Petrenec M (2015) Monitoring tensile fatigue of superelastic NiTi wire in liquids by electrochemical potential. shap mem superelasticity 1:204–230. https://doi.org/10.1007/s40830-015-0020-5

  6. Miyazaki S, Imai T, Otsuka K, Suzuki Y (1981) Lüders-like deformation observed in the transformation pseudoelasticity of a Ti-Ni alloy. Scr Metall 15:853–856. https://doi.org/10.1016/0036-9748(81)90265-9

    Article  Google Scholar 

  7. Shaw JA, Kyriakides S (1995) Thermomechanical aspects of NiTi. J Mech Phys Solids 43:1243–1281. https://doi.org/10.1016/0022-5096(95)00024-D

    Article  Google Scholar 

  8. Shaw JA, Kyriakides S (1997) Initiation and propagation of localized deformation in elasto-plastic strips under uniaxial tension. Int J Plasticity 13:837–871. https://doi.org/10.1016/S0749-6419(97)00062-4

    Article  Google Scholar 

  9. Sittner P, Liu Y, Novak V (2005) On the origin of Lüders-like deformation of NiTi shape memory alloys. J Mech Phys Solids 53:1719–1746. https://doi.org/10.1016/J.JMPS.2005.03.005

    Article  MATH  Google Scholar 

  10. Dutta SC, Majumder R (2019) Shape Memory Alloy (SMA) as a potential damper in structural vibration control. In: Hloch S, Al (eds) Advances in Manufacturing Engineering and Materials. Lecture Notes in Mechanical Engineering. Springer, Cham, pp 485–492. https://doi.org/10.1007/978-3-319-99353-9_51

  11. Daly S, Ravichandran G, Bhattacharya K (2007) Stress-induced martensitic phase transformation in thin sheets of Nitinol. Acta Mater 55:3593–3600. https://doi.org/10.1016/j.actamat.2007.02.011

    Article  Google Scholar 

  12. Pieczyska EA, Gadaj SP, Nowacki WK, Tobushi H (2004) Thermomechanical investigations of martensitic and reverse transformations in TiNi shape memory alloy. B Pol Acad Sci-Tech 52:165–171. http://www.ippt.pan.pl/Repository/o6480.pdf

  13. Pieczyska EA, Gadaj SP, Nowacki WK, Tobushi H (2006) Phase-transformation fronts evolution for stress- and strain-controlled tension tests in TiNi shape memory alloy. Exp Mech 46:531–542. https://doi.org/10.1007/s11340-006-8351-y

  14. Pieczyska EA (2010) Activity of stress-induced martensite transformation in TiNi shape memory alloy studied by infrared technique. J Mod Optic 57:1700–1707. https://doi.org/10.1080/09500341003725748

    Article  Google Scholar 

  15. He Y, Sun Q (2014) On non-monotonic rate dependence of stress hysteresis of superelastic shape memory alloy bars. Int J Solids Struct 48:1688–1695. https://doi.org/10.1016/j.ijsolstr.2011.02.017

    Article  MATH  Google Scholar 

  16. Takeda K, Tobushi H, Pieczyska EA (2012) Transformation-induced creep and creep recovery of shape memory alloy. Materials 5:909–921. https://doi.org/10.3390/ma5050909

  17. Pieczyska EA, Tobushi H, Kulasiński K (2013) Development of transformation bands in TiNi SMA for various stress and strain rates studied by a fast and sensitive infrared camera. Smart Mater Struct 22:035007. https://doi.org/10.1088/0964-1726/22/3/035007

    Article  Google Scholar 

  18. Yin H, He Y, Sun Q (2014) 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. https://doi.org/10.1016/J.JMPS.2014.01.013

    Article  Google Scholar 

  19. Ahadi A, Sun Q (2014) Effects of grain size on the rate-dependent thermomechanical responses of nanostructured superelastic NiTi. Acta Mater 76:186–197. https://doi.org/10.1016/j.actamat.2014.05.007

    Article  Google Scholar 

  20. Pieczyska EA, Staszczak M, Dunić V, Slavković R, Tobushi H, Takeda K (2014) Development of stress-induced martensitic transformation in TiNi shape memory alloy. J Mater Eng Perform 23:2505–2514. https://doi.org/10.1007/s11665-014-0959-y

  21. Alarcon E, Heller L, Chirani SA, Sittner P, Kopecek J, Saint-Sulpice L, Calloch S (2017) Fatigue performance of superelastic NiTi near stress-induced martensitic transformation. Int J Fatigue 95:76–89. https://doi.org/10.1016/j.ijfatigue.2016.10.005

    Article  Google Scholar 

  22. Dunić V, Pieczyska EA, Kowalewski ZL, Matsui R, Slavković R (2019) Experimental and numerical investigation of mechanical and thermal effects in TiNi SMA during transformation-induced creep phenomena. Materials 12:883. https://doi.org/10.3390/ma12060883

  23. 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 et al. (Eds.) Residual Stress, Thermomechanics & Infrared Imaging and Inverse Problems, vol 6, Conference Proceedings of the Society for Experimental Mechanics Series, pp 36–40, Springer, Cham. https://doi.org/10.1007/978-3-030-30098-2_6

  24. Balandraud X, Chrysochoos A, Leclercq S, Peyroux R (2001) Influence of the thermomechanical coupling on the propagation of a phase change front. C R Acad Sci- Ser IIB - Mech 329:621–626. https://doi.org/10.1016/S1620-7742(01)01376-9

    Article  Google Scholar 

  25. Delpueyo D, Balandraud X, Grédiac M (2011) Applying infrared thermography to analyse martensitic microstructures in a Cu-Al-Be shape-memory alloy subjected to a cyclic loading. Mater Sci Eng A 528:8249–8258. https://doi.org/10.1016/J.MSEA.2011.07.050

    Article  Google Scholar 

  26. Louche H, Schlosser P, Favier D, Orgéas L (2012) Heat source processing for localized deformation with non-constant thermal conductivity. Application to superelastic tensile tests of NiTi shape memory alloys. Exp Mech 52:1313–1328. https://doi.org/10.1007/s11340-012-9607-3

  27. Chrysochoos A, Chezeaux J-C, Caumon H (1989) Thermomechanical behavior law analysis by infrared thermography. Rev Phys Appl 24:215–225. https://doi.org/10.1051/rphysap:01989002402021500

    Article  Google Scholar 

  28. Schlosser P, Louche H, Favier D, Orgeas L (2007) Image processing to estimate the heat sources related to phase transformations during tensile tests of NiTi tubes. Strain 43:260–271. https://doi-org.insis.bib.cnrs.fr/https://doi.org/10.1111/j.1475-1305.2007.00350.x

  29. Favier D, Louche H, Schlosser P, Orgeas L, Vacher P, Debove L (2007) Homogeneous and heterogeneous deformation mechanisms in an austenitic polycrystalline Ti-50.8 at.% Ni thin tube under tension. Investigation via temperature and strain fields measurements. Acta Mater 55:5310–5322. https://doi.org/10.1016/j.actamat.2007.05.027

    Article  Google Scholar 

  30. Chrysochoos A, Löbel M, Maisonneuve O (1995) Thermomechanical coupling of pseudoelastic behavior of CuZnAl and NiTi alloys. C R Acad Sci II 320(5):217–223

    Google Scholar 

  31. Delobelle V (2012) Contributions à l’étude thermomécanique des alliages à mémoire de forme NiTi et à la réalisation par soudage de matériaux architecturés NiTi. PhD dissertation, Université de Grenoble, France

  32. De Oliveira HMR (2018) Study of thermomechanical couplings in nanostructured superelastic nickel-titanium wires. PhD dissertation, Université de Grenoble, France

  33. Brinson LC, Schmidt I, Lammering R (2004) Stress-induced transformation behavior of a polycrystalline NiTi shape memory alloy: micro and macromechanical investigations via in situ optical microscopy. J Mech Phys Solids 52:1549–1571. https://doi.org/10.1016/J.JMPS.2004.01.001

    Article  MATH  Google Scholar 

  34. He YJ, Sun QP (2010) Rate-dependent domain spacing in a stretched NiTi strip. Int J Solids Struct 47:2775–2783. https://doi.org/10.1016/J.IJSOLSTR.2010.06.006

    Article  MATH  Google Scholar 

  35. Sedmák P, Pilch J, Heller L, Kopeček J, Wright J, Sedlák P, Frost M, Šittner P (2016) Grain-resolved analysis of localized deformation in nickel-titanium wire under tensile load. Science 353:559–562. https://doi.org/10.1126/science.aad6700

    Article  Google Scholar 

  36. Zheng L, He Y, Moumni Z (2016) Effects of Lüders-like bands on NiTi fatigue behaviors. Int J Solids Struct 83:28–44. https://doi.org/10.1016/J.IJSOLSTR.2015.12.021

    Article  Google Scholar 

  37. Heller L, Šittner P, Sedlák P, Seiner H, Tyc O, Kadeřávek L, Sedmák P, Vronka M (2019) Beyond the strain recoverability of martensitic transformation in NiTi. Int J Plasticity 116:232–264. https://doi.org/10.1016/J.IJPLAS.2019.01.007

    Article  Google Scholar 

  38. Dunić V, Pieczyska EA, Tobushi H, Staszczak M, Slavković R (2014) Experimental and numerical thermo-mechanical analysis of shape memory alloy subjected to tension with various stress and strain rates. Smart Mater Struct 23:055026. https://doi.org/10.1088/0964-1726/23/5/055026

    Article  Google Scholar 

  39. Chrysochoos A, Louche H (2000) An infrared image processing to analyse the calorific effects accompanying strain localisation. Int J Eng Sci 38:1759–1788. https://doi.org/10.1016/S0020-7225(00)00002-1

    Article  Google Scholar 

  40. Louche H, Chrysochoos A (2001) Thermal and dissipative effects accompanying Lüders band propagation. Mater Sci Eng A 307:15–22. https://doi.org/10.1016/S0921-5093(00)01975-4

    Article  Google Scholar 

  41. Wattrisse B, Muracciole JM, Chrysochoos A (2002) Thermomechanical effects accompanying the localized necking of semi-crystalline polymers. Int J Therm Sci 41:422–427. https://doi.org/10.1016/S1290-0729(02)01334-0

    Article  Google Scholar 

  42. Connesson N, Maquin F, Pierron F (2011) Experimental energy balance during the first cycles of cyclically loaded specimens under the conventional yield stress. Exp Mech 51, 23–44. https://doi-org.insis.bib.cnrs.fr/https://doi.org/10.1007/s11340-010-9336-4

  43. Blanche A, Chrysochoos A, Ranc N, Favier V (2015) Dissipation assessments during dynamic very high cycle fatigue tests. Exp Mech 55: 699–709. https://doi-org.insis.bib.cnrs.fr/https://doi.org/10.1007/s11340-014-9857-3

  44. Delobelle V, Favier D, Louche H, Connesson N (2015) Determination of local thermophysical properties and heat of transition from thermal fields measurement during drop calorimetric experiment. Exp Mech 55: 711–723. https://doi-org.insis.bib.cnrs.fr/https://doi.org/10.1007/s11340-014-9877-z

  45. Ranc N, Blanche A, Ryckelynck D, Chrysochoos A (2015) POD preprocessing of IR thermal data to assess heat source distributions. Exp Mech 55:725–739. https://doi.org/10.1007/s11340-014-9858-2

  46. Wang XG, Wang L, Huang MX (2017) Kinematic and thermal characteristics of Lüders and Portevin-Le Châtelier bands in a medium Mn transformation-induced plasticity steel. Acta Mater 124:17–29. https://doi.org/10.1016/J.ACTAMAT.2016.10.069

    Article  Google Scholar 

  47. Jongchansitto P, Douellou C, Preechawuttipong I, Balandraud X (2019) Comparison between 0D and 1D approaches for mechanical dissipation measurement during fatigue tests. Strain 55:e12307. https://doi.org/10.1111/str.12307

    Article  Google Scholar 

  48. Chrysochoos A, Pham H, Maisonneuve O (1996) Energy balance of thermoelastic martensite transformation under stress. Nucl Eng Des 162:1–12. https://doi.org/10.1016/0029-5493(95)01140-4

    Article  Google Scholar 

  49. Delpueyo D, Balandraud X, Grédiac M, Stanciu S, Cimpoesu N (2018) A specific device for enhanced measurement of mechanical dissipation in specimens subjected to long-term tensile tests in fatigue. Strain 54:e12252. https://doi.org/10.1111/str.12252

    Article  Google Scholar 

  50. Pastor ML, Balandraud X, Grédiac M, Robert JL (2008) Applying infrared thermography to study the heating of 2024-T3 aluminium specimens under fatigue loading. Infrared Phys Technol 51:505–515. https://doi.org/10.1016/J.INFRARED.2008.01.001

    Article  Google Scholar 

  51. Pottier T, Louche H, Samper S, Favreliere H, Toussaint F, Vacher P (2014) Proposition of a modal filtering method to enhance heat source computation within heterogeneous thermomechanical problems. Int J Eng Sci 81:163–176. https://doi.org/10.1016/J.IJENGSCI.2014.04.010

    Article  MathSciNet  MATH  Google Scholar 

  52. Delpueyo D, Balandraud X, Grédiac M (2013) Heat source reconstruction from noisy temperature fields using an optimised derivative Gaussian filter. Infrared Phys Technol 60:312–322. https://doi.org/10.1016/J.INFRARED.2013.06.004

    Article  Google Scholar 

  53. Corvec G, Robin E, Le Cam JB, Sangleboeuf JC, Lucas P (2016) Improving spatio-temporal resolution of infrared images to detect thermal activity of defect at the surface of inorganic glass. Infrared Phys Technol 77:193–202. https://doi.org/10.1016/J.INFRARED.2016.05.026

    Article  Google Scholar 

  54. Beitone C, Balandraud X, Delpueyo D, Grédiac M (2017) Heat source reconstruction from noisy temperature fields using a gradient anisotropic diffusion filter. Infrared Phys Technol 80:27–37. https://doi.org/10.1016/J.INFRARED.2016.11.003

    Article  Google Scholar 

  55. Witkin AP (1987) Scale-space filtering. In: Fischle AM, Firschein O (eds) Readings in Computer Vision. Elsevier. Chapter 2, pp 329–332. https://doi.org/10.1016/B978-0-08-051581-6.50036-2

  56. Renault N, André S, Maillet D, Cunat C (2010) A spectral method for the estimation of a thermomechanical heat source from infrared temperature measurements. Int J Therm Sci 49:1394–1406. https://doi.org/10.1016/J.IJTHERMALSCI.2010.03.001

    Article  Google Scholar 

  57. Chrysochoos A, Surrel Y (2012) Basics of Metrology and introduction to techniques. In: Grédiac M, Hild F (Eds) Full-Field Measurements and Identification in Solid Mechanics. Wiley, Hoboken, Chap. 1, pp 1–30. https://doi.org/10.1002/9781118578469.ch1

  58. Philippi I, Batsale JC, Maillet D, Degiovanni A (1995) Measurement of thermal diffusivities through processing of infrared images. Rev Sci Instrum 66:182–192. https://doi.org/10.1063/1.1146432

    Article  Google Scholar 

  59. Rohde M, Schüssler A (1997) On the response-time behaviour of laser micromachined NiTi shape memory actuators. Sensors Actuat A-Phys 61:463–468. https://doi.org/10.1016/S0924-4247(97)80306-8

    Article  Google Scholar 

  60. Faulkner MG, Amalraj JJ, Bhattacharyya A (2000) Experimental determination of thermal and electrical properties of Ni-Ti shape memory wires. Smart Mater Struct 9:632–639. https://doi.org/10.1088/0964-1726/9/5/307

    Article  Google Scholar 

  61. Zanotti C, Giuliani P, Riva G, Tuissi A, Chrysanthou A (2009) Thermal diffusivity of Ni-Ti SMAs. J Alloys Compd 473:231–237. https://doi.org/10.1016/J.JALLCOM.2008.05.040

    Article  Google Scholar 

  62. Zanotti C, Giuliani P, Chrysanthou A (2012) Martensitic-Austenitic phase transformation of Ni–Ti SMAs: Thermal properties. Intermetallics 24:106–114. https://doi.org/10.1016/J.INTERMET.2012.01.026

    Article  Google Scholar 

  63. Meyer GH (2015) Chap. 2: The Method of Lines (MOL) for the diffusion equation. In: The time-discrete method of lines for options and bonds. World Scientific Publishing Co. Pte. Ltd., Singapore, pp 57–74. https://doi.org/10.1142/9789814619684_0002

  64. Šittner P, Landa M, Lukáš P, Novák V (2006) R-phase transformation phenomena in thermomechanically loaded NiTi polycrystals. Mech Mater 38:475–492. https://doi.org/10.1016/J.MECHMAT.2005.05.025

    Article  Google Scholar 

  65. De Oliveira HMR, Louche H, Grassi END, Favier D (2020) Specific forward/reverse latent heat and martensite fraction measurement during superelastic deformation of nanostructured NiTi wires. Mater Sci Eng A 774:138928. https://doi.org/10.1016/j.msea.2020.138928

    Article  Google Scholar 

  66. Shaw J, Churchill C, Iadicola MA (2008) Tips and tricks for characterizing shape memory alloy wire: Part 1 - Differential scanning calorimetry and basic phenomena. Exp Techniques 32:55–62. https://doi.org/10.1111/j.1747-1567.2008.00410.x

    Article  Google Scholar 

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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”. P. Šittner and L. Heller kindly acknowledge the support of the research from Czech Science Foundation (CSF) project 18-03834S. M. Karlik acknowledges the financial support of the ERDF in the frame of the Project No. CZ.02.1.01/0.0/0.0/15_003/0000485. Finally, A. Jury 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).

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Authors and Affiliations

  1. Nuclear Physics Institute of the CAS, Rež 130, 250 68, Husinec, Czech Republic

    A. Jury, L. Heller & P. Šittner

  2. Institute of Physics of the CAS, Na Slovance 1992/2, 18221, Prague, Czech Republic

    A. Jury, L. Heller & P. Šittner

  3. Faculty of Nuclear Sciences and Physical Engineering, Department of Materials, Czech Technical University in Prague, Trojanova 13, 120 00, Prague 2, Czech Republic

    A. Jury & M. Karlik

  4. Université Clermont Auvergne, CNRS, SIGMA Clermont, Institut Pascal, Campus Universitaire des Cézeaux, F-63000, Clermont- Ferrand, France

    A. Jury & X. Balandraud

  5. Faculty of Mathematics and Physics, Department of Physics of Materials, Charles University, Ke Karlovu 5, 121 16, Prague 2, Czech Republic

    M. Karlik

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Correspondence to X. Balandraud.

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Jury, A., Balandraud, X., Heller, L. et al. Reconstruction of Heat Sources Induced in Superelastically Loaded Ni-Ti Wire By Localized Deformation Processes. Exp Mech 61, 349–366 (2021). https://doi.org/10.1007/s11340-020-00648-8

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