Abstract
Biomedical applications are invaded by the use of NiTi shape memory alloys (SMA) thanks to their high resistance to corrosion and their biochemical compatibilities. In fact, NiTi archwires are used during the initial phase of orthodontic correction. To experimentally predict the behavior of orthodontic wires in the oral cavity, superelastic wires are subjected to cyclic loading from one to fifty cycles under an applied strain rate equal to 10–4 s-1 for an imposed strain of 8.2%. Experimental loading-unloading curves show a significant variation in the mechanical behavior (an increase in the critical stress at the beginning and at the end of the martensite transformation and a decrease in the dissipated energy). The aim of our study is to develop a constitutive model, based on experimental results, which take into account the asymmetric superelastic behavior of NiTi AMFs under cyclic loading, due to the residual martensite accumulated during cyclic loadings. This model is integrated via UMAT subroutines into the finite element software ABAQUS. The numerical results obtained are closed to the experimental one and illustrate a good prediction of the asymmetric elastic loading-unloading behavior of NiTi alloys.
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Acknowledgements
The authors would like to acknowledge their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups programs under the grant number (R.G.P.1/69/40).
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Sarraj, R., Fathallah, A., Hassine, T., Gamaoun, F. (2023). Extension of Superelastic NiTi Alloy Model Under Cyclic Loading Accounting for Loading-Unloading Asymmetry. In: Walha, L., et al. Design and Modeling of Mechanical Systems - V. CMSM 2021. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-14615-2_64
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