Modeling of temperature-dependent cyclic performance of superelastic NiTi shape memory alloy
1School of Mechanical Engineering, Tongji University, 201804 Shanghai, China.
2Institute for Advanced Study, Tongji University, 200092 Shanghai, China.
In this paper, a three-dimensional micromechanical-based constitutive model is proposed to describe the temperature-dependent performance of a cyclic deformed superelastic NiTi shape memory alloy. The dominant texture of the specimen is prescribed as <111> direction along the longitudinal direction. Apart from martensitic transformation, various mechanisms regarding superelastic degradation are taken into consideration. In order to be extended from the single-crystal scale to the polycrystalline version, the constitutive model is implemented into finite element software. It is verified that the measured cyclic response of a superelastic NiTi is well reproduced by the presented approach. Furthermore, the predicting capability of the proposed model is verified by simulating the mechanical behavior of NiTi tube subjected to cyclic bending.
Xiao, Y., Ju, S., & Lin, J. (2022). Modeling of temperature-dependent cyclic performance of superelastic NiTi shape memory alloy. Computer Methods in Materials Science, 22(1), pages. https://doi.org/10.7494/cmms.2022.1.0771
Bechle, N.J., & Kyriakides, S. (2014). Localization in NiTi tubes under bending. International Journal of Solids Structures, 51(5), 967–980.
Bechle, N.J., & Kyriakides, S. (2016). Evolution of localization in pseudoelastic NiTi tubes under biaxial stress states. International Journal of Plasticity, 82, 1–31.
Berbenni, S., Favier, V., Lemoine, X., & Berveiller, M. (2004). Micromechanical modeling of the elastic-viscoplastic behavior of polycrystalline steels having different microstructures. Materials Science and Engineering A, 372(1–2), 128–136.
Churchill, C.B., Shaw, J.A., & Iadicola, M.A. (2009). Tips and tricks for characterizing shape memory alloy wire: part 2 – fundamental isothermal responses. Experimental Techniques, 33(1), 51–62.
Cisse, C., Zaki, W., & Zineb, T.B. (2016). A review of constitutive models and modeling techniques for shape memory alloys. International Journal of Plasticity, 76, 244–284.
Dhala, S., Mishra, S., Tewari, A., & Alankar, A. (2019). Modeling of finite deformation of pseudoelastic NiTi shape memory alloy considering various inelasticity mechanisms. International Journal of Plasticity, 115, 216–237.
Gall, K., Lim, T.J., McDowell, D.L., Sehitoglu, H., & Chumlyakov, Y.I. (2000). The role of intergranular constraint on the stress-induced martensitic transformation in textured polycrystalline NiTi. International Journal of Plasticity, 16(10–11), 1189–1214.
Kang, G., Kan, Q., Qian, L., & Liu, Y. (2009). Ratchetting deformation of super-elastic and shape-memory NiTi alloys. Mechanics of Materials, 41(2), 139–153.
Liu, Y., Mahmud, A., Kursawe, F., & Nam, T.H. (2008). Effect of pseudoelastic cycling on the Clausius–Clapeyron relation for stress-induced martensitic transformation in NiTi. Journal of Alloys and Compounds, 449(1–2), 82–87.
Long, X., Peng, X., Fu, T., Tang, S., & Hu, N. (2017). A micro-macro description for pseudoelasticity of NiTi SMAs subjected to nonproportional deformations. International Journal of Plasticity, 90, 44–65.
Long, X., Peng, X., & Fu, T. (2020). Extension of micromechanics model and micro-macro description to shape memory effect of NiTi SMAs. International Journal of Solids Structures, 188–189, 169–180.
Manchiraju, S., & Anderson, P.M. (2010). Coupling between martensitic phase transformations and plasticity: A microstructure-based finite element model. International Journal of Plasticity, 26(10), 1508–1526.
Mecking, H., & Kocks, U.F. (1981). Kinetics of flow and strain-hardening. Acta Metallurgica, 29(11), 1865–1875.
Otsuka, K., & Ren, X. (2005). Physical metallurgy of Ti–Ni-based shape memory alloys. Progress in Materials Science, 50(5), 511–678.
Paranjape, H.M., Paul, P.P., Sharma, H., Kenesei, P., Park, J.S., Duerig, T.W., Brinson, L.C., & Stebner, A.P. (2017). Influences of granular constraints and surface effects on the heterogeneity of elastic, superelastic, and plastic responses of polycrystalline shape memory alloys. Journal of the Mechanics and Physics of Solids, 102, 46–66.
Reedlunn, B., Churchill, C.B., Nelson, E.E., Shaw, J.A., & Daly, S.H. (2014). Tension, compression, and bending of superelastic shape memory alloy tubes. Journal of the Mechanics and Physics of Solids, 63, 506–537.
Reedlunn, B., LePage, W.S., Daly, S.H., & Shaw, J.A. (2020). Axial-torsion behavior of superelastic tubes: Part I, proportional isothermal experiments. International Journal of Solids Structures, 199, 1–35.
Sadjadpour, A., & Bhattacharya, K. (2007). A micromechanics-inspired constitutive model for shape-memory alloys. Smart Materials and Structures, 16(5), 1751–1765.
Šittner, P., Sedlák, P., Seiner, H., Sedmák, P., Pilch, J., Delville, R., Heller, L., & Kadeřávek, L. (2018). On the coupling
between martensitic transformation and plasticity in NiTi: Experiments and continuum based modelling. Progress in
Materials Science, 98, 249–298.
Song, D., Kang, G., Kan, Q., Yu, C., & Zhang, C. (2015). Damage-based life prediction model for uniaxial low-cycle stress fatigue of super-elastic NiTi shape memory alloy microtubes. Smart Materials and Structures, 24(8), 085007.
Thamburaja, P., & Anand, L. (2003). Thermo-mechanically coupled superelastic response of initially-textured Ti–Ni sheet. Acta Materialia, 51(2), 325–338.
Wagner, M., Sawaguchi, T., Kausträter, G., Höffken, D., & Eggeler, G. (2004). Structural fatigue of pseudoelastic NiTi shape memory wires. Materials Science and Engineering A, 378(1–2), 105–109.
Wang, X.M., Xu, B.X., & Yue, Z.F. (2008). Micromechanical modelling of the effect of plastic deformation on the mechanical behaviour in pseudoelastic shape memory alloys. International Journal of Plasticity, 24(8), 1307–1332.
Xiao, Y., & Jiang, D. (2020). Constitutive modelling of transformation pattern in superelastic NiTi shape memory alloy under cyclic loading. International Journal of Mechanical Science, 182, 105743.
Xiao, Y., Zeng, P., Lei, L., & Zhang, Y. (2017). In situ observation on temperature dependence of martensitic transformation and plastic deformation in superelastic NiTi shape memory alloy. Materials & Design, 134, 111–120.
Xiao, Y., Zeng, P., & Lei, L. (2018). Micromechanical modeling on thermomechanical coupling of cyclically deformed superelastic NiTi shape memory alloy. International Journal of Plasticity, 107, 164–188.
Yan, B., Jiang, S., Hu, L., Zhang, Y., & Sun, D. (2021). Crystal plasticity finite element simulation of NiTi shape memory alloy under canning compression based on constitutive model containing dislocation density. Mechanics of Materials, 157, 103830.
Yu, C., Kang, G., & Kan, Q. (2014a). A physical mechanism based constitutive model for temperature-dependent transformation ratchetting of NiTi shape memory alloy: One-dimensional model. Mechanics of Materials, 78, 1–10.
Yu, C., Kang, G., & Kan, Q. (2014b). Crystal plasticity based constitutive model of NiTi shape memory alloy considering different mechanisms of inelastic deformation. International Journal of Plasticity, 54, 132–162.
Yu, C., Kang, G., Song, D., & Kan, Q. (2015). Effect of martensite reorientation and reorientation-induced plasticity on multiaxial transformation ratchetting of super-elastic NiTi shape memory alloy: New consideration in constitutive model. International Journal of Plasticity, 67, 69–101.
Yu, C., Kang, G., Kan, Q., & Xu, X. (2017). Physical mechanism based crystal plasticity model of NiTi shape memory alloys addressing the thermo-mechanical cyclic degeneration of shape memory effect. Mechanics of Materials, 112, 1–17.