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Energy-based analysis of temperature oscillation at the shakedown state in shape memory alloys

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Abstract

This paper documents an energy-based analysis of temperature oscillation during cyclic stress-induced phase transformation in shape memory alloys (SMAs). The conversion of total hysteresis work into dissipated heat and stored energy in SMAs is discussed, and the temperature oscillation at the shakedown state in cyclically loaded SMAs is modeled. To validate the theoretical model, both strain and stress-controlled tensile tests on pseudoelastic NiTi wires are performed under cyclic loading and an infrared camera is used to record the surface temperature of the wire. The results show that depending of the loading type, strain or stress-controlled loading, the amplitude of temperature oscillation during cyclic stress-induced phase transformation evolves differently with the frequency: The amplitude of the temperature oscillation under strain-controlled loading gradually reaches a saturated value independent of the frequency; however, for stress-controlled loading, the saturated temperature amplitude is frequency-dependent since it reduces significantly if the frequency is increased.

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Acknowledgements

This work is supported by Research and Development Program of China (2017YFB1102800) and National Natural Science Foundation of China (11620101002, 51761145111, 51790171). Ziad Moumni would like to acknowledge SAFEA (State Administration of Foreign Expert of China) for their financial support (WQ20116100007).

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Authors and Affiliations

  1. State IJR Center of Aerospace Design and Additive Manufacturing, Northwestern Polytechnical University, Xi’an, 710072, Shaanxi, China

    Yahui Zhang, Ziad Moumni, Yajun You, Jihong Zhu & Weihong Zhang

  2. IMSIA, UMR 8193 CNRS-EDF-CEA-ENSTA, Université Paris Saclay, 828 Boulevard des Maréchaux, 91762, Palaiseau Cedex, France

    Yahui Zhang & Ziad Moumni

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  1. Yahui Zhang
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Correspondence to Yahui Zhang.

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Communicated by Andreas Öchsner.

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Zhang, Y., Moumni, Z., You, Y. et al. Energy-based analysis of temperature oscillation at the shakedown state in shape memory alloys. Continuum Mech. Thermodyn. 31, 1387–1399 (2019). https://doi.org/10.1007/s00161-019-00751-9

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