Thermodynamic Performance Test and Phenomenological Constitutive Model of NiTiNb Shape Memory Alloy

doi:10.3901/JME.2020.04.065

Abstract

Abstract: Plastic deformation and its effects are not considered in the numerical analysis of existing shape memory alloy(SMA) pipe connection. Based on the irreversible thermodynamic framework, the influence of plastic deformation on the reverse martensitic transformation is considered and a phase transformation and plastically coupled NiTiNb SMA phenomenological constitutive model is constructed. Based on the finite element software ABAQUS and its secondary development function, the user-defined subroutine (UMAT) is compiled. The thermal-mechanical behavior of NiTiNb SMA is simulated and compared with the experimental results of tensile and constrained heating properties of NiTiNb SMA at low temperature. The results show that the numerical results can well describe the stress-strain curve obtained by the test and the stress-temperature curve characteristics of the heating process, which describe the law of material pre-deformation to improve the reverse martensitic transformation temperature. The evolution law of Mises stress, equivalent phase strain and equivalent plastic strain in the material during low temperature deformation and temperature recovery is obtained. The results show that the numerical simulation is in good agreement with the experiment, which lays a foundation for the further simulation and optimization of the assembly performance of SMA pipe joints.

Key words: shape memory alloy (SMA), plastic deformation, constitutive model, numerical simulation

CLC Number:

TG139

CHEN Xiang, CHEN Wei, LU Sheng, JIN Xiaoqing, MA Wensheng, ZHAO Yang. Thermodynamic Performance Test and Phenomenological Constitutive Model of NiTiNb Shape Memory Alloy[J]. Journal of Mechanical Engineering, 2020, 56(4): 65-75.

References

[1] MOHD J J,LEARY M,SUBIC A,et al. A review of shape memory alloy research,applications and opportunities[J]. Materials & Design,2014,56(4):1078-1113.
[2] CHEN Xiang,LIU Teng,LI Rui,et al. Molecular dynamics simulation on the shape memory effect and superelasticity in NiTi shape memory alloy[J]. Computational Materials Science,2018,146:61-69.
[3] UEHARA T,ASAI C,OHNO N. Molecular dynamics simulation of shape memory behaviour using a multi-grain model[J]. Modelling & Simulation in Materials Science & Engineering,2009,17(3):035011.
[4] KO W S,MAISEL S B,GRABOWSKI B,et al. Atomic scale processes of phase transformations in nanocrystalline NiTi shape-memory alloys[J]. Acta Materialia,2017,123:90-101.
[5] PIOTROWSKI B,ZINEB T B,PATOOR E,et al. Modeling of niobium precipitates effect on the Ni47Ti44Nb9 shape memory alloy behavior[J]. International Journal of Plasticity,2012,36(1):130-147.
[6] GALL K,SEHITOGLU H. The role of texture in tension-compression asymmetry in polycrystalline NiTi[J]. International Journal of Plasticity,1999,15(1):69-92.
[7] 朱祎国,张杨,赵聃. 多晶NiTi形状记忆合金相变的细观力学本构模型[J]. 金属学报,2013,49(1):123-128. ZHU Yiguo,ZHANG Yang,ZHAO Dan. Micromechanical constitutive model for phase transformation of NiTi polycrystal SMA[J]. Acta Metallurgica Sinica,2013,49(1):123-128.
[8] 周博,王振清,梁文彦. 形状记忆合金的细观力学本构模型[J]. 金属学报,2006,42(9):919-924. ZHOU Bo,WANG Zhenqing,LIANG Wenyan. A micromechanical constitutive model of shape memory alloys[J]. Acta Metallurgica Sinica,2006,42(9):919-924.
[9] ARGHAVANI J,AURICCHIO F,NAGHDABADI R,et al. A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings[J]. International Journal of Plasticity,2010,26(7):976-991.
[10] LAGOUDAS D,HARTL D,CHEMISKY Y,et al. Constitutive model for the numerical analysis of phase transformation in polycrystalline shape memory alloys[J],International Journal of Plasticity,2012,32-33:155-183.
[11] 周博,刘彦菊,冷劲松,等. 形状记忆合金的宏观力学本构模型[J]. 中国科学:物理学力学天文学,2009(7):998-1006. ZHOU Bo,LIU Yanju,LENG Jinsong,et al. Macro-mechanical constitutive model of shape memory alloys[J]. Science China Physics,Mechanics & Astronomy,2009(7):998-1006.
[12] 李云飞,陈成,曾祥国. NiTi合金的相变-塑性统一本构模型与数值算法[J]. 航空材料学报,2018,38(1):26-32. LI Yunfei,CHEN Cheng,ZENG Xiangguo. Unified constitutive model and numerical implementation of niti alloy involving phase transformation and plasticity[J]. Journal of Aeronautical Materials,2018,38(1):26-32.
[13] 陈斌. 镍钛铌形状记忆合金宏细观力学行为研究[D]. 重庆:重庆大学,2013. CHEN Bin. Research of micro and macro mechanical behavior of NiTiNb shape memory alloy[D]. Chongqing:Chongqing University,2013.
[14] 陈翔. 镍钛铌形状记忆合金特性的试验与本构模型研究[D]. 重庆:重庆大学,2015. CHEN Xiang. Experimental investigation and constitutive modeling for thermal-mechanical properties of NiTiNb SMA[D]. Chongqing:Chongqing University,2015.
[15] 康泽天,周博,薛世峰. 形状记忆合金管接头热机耦合行为的有限元数值模拟[J]. 机械工程学报,2018,54(18):68-75. KANG Zetian,ZHOU Bo,XUE Shifeng. Finite element numerical simulation on thermo-mechanical coupling behavior in shape memory alloy pipe connection[J]. Journal of Mechanical Engineering,2018,54(18):68-75.
[16] 陈强,王克鲁,鲁世强,等. Φ10mm NiTiNb形状记忆合金管接头数值模拟分析[J],热加工工艺,2017,46(2):74-77. CHEN Qiang,WANG Kelu,LU Shiqiang,et al. Numerical simulation and analysis of Φ10mm NiTiNb shape memory alloy tube joints[J]. Hot Working Technology,2017,46(2):74-77.
[17] 徐祥,阚前华,康国政. 镍钛形状记忆合金管接头有限元分析[J]. 四川理工学院学报:自然科学版,2016,29(4):26-30. XU Xiang,KAN Qianhua,KANG Guozheng. Finite analysis of nickel-titanium shape memory alloy pipe joints[J]. Journal of Sichuan University of Science & Engineering(Natural Science Edition),2016,29(4):26-30.
[18] PIAO M,OTSUKA K,MIYAZAKI S,et al. Mechanism of the as temperature increase by pre-deformation in thermoelastic alloys[J]. Materials Transactions,JIM,1993,34(10):919-929.
[19] PIAO M,MIYAZAKI S,OTSUKA K,Characteristics of deformation and transformation in Ti44Ni47Nb9 shape memory alloy[J]. Materials Transactions,JIM,1992,33(4):346-353.
[20] ZHANG Chunsheng,ZHAO Liancheng,DUERIG T W,et al. Effects of deformation on the transformation hysteresis and shape memory effect in a Ni47Ti44Nb9 alloy[J]. Scripta Metallurgica et Materialia,1990,24(9):1807-1812.
[21] CHEN Xiang,PENG Xianghe,CHEN Bin,et al. Experimental investigation on transformation,reorientation and plasticity of Ni47Ti44Nb9 SMA under biaxial thermal-mechanical loading[J]. Smart Materials and Structures,2015,24(7):1-12.
[22] LEMAITRE J,CHABOCHE J L. Mechanics of Solid Materials[J]. Journal of Engineering Mechanics,1992,119(3):642-643.
[23] SOUZA A C,MAMIYA E N,ZOUAIN N. Three-dimensional model for solids undergoing stress-induced phase transformations[J]. European Journal of Mechanics,A/Solids,1998,17(5):789-806.
[24] FRÉMOND M,MIYAZAKI S. Shape memory alloys[M]. Udine:Springer,Vienna Press,1996.
[25] AURICCHIO F,CONTI M,MORGANTI S,et al. Shape memory alloy:from constitutive modeling to finite element analysis of stent deployment[J]. Computer Modeling in Engineering & Sciences,2010,57(3):225-244.
[26] BO Zhonghe,LAGOUDAS D C. Thermomechanical modeling of polycrystalline SMAs under cyclic loading,Part III:evolution of plastic strains and two-way shape memory effect[J]. International Journal of Engineering Science,1999,37(9):1175-1203.
[27] 杜泓飞,曾攀,赵加清,等. NiTi合金中马氏体相变失稳与局部化的原位多场研究[J]. 金属学报,2013,49(1):17-25. DU Hongfei,ZENG Pan,ZHAO Jiaqing,et al. In situ multi-fields investigation on instability and transformation localization of martensitic phase transformation in NiTi alloys[J]. Acta Metallurgica Sinica,2013,49(1):17-25.