A Macroscopic Phenomenological Constitutive Model of Superelastic SMA Phase Transition Ratchet Behavior Considering the Effect of Strain Amplitude
YANG Tao1,*, LIU Zhangrui1, LIU Bo2, ZHANG Yang1
1 School of Urban Planning and Municipal Engineering, Xi'an Polytechnic University, Xi'an 710600, China 2 School of Civil Engineering, Xi'an University of Architecture and Technology, Xi'an 710055, China
Abstract: In order to achieve full potential of the superelastic properties of shape memory alloys (SMA) in practical engineering applications, this work carried out uniaxial cyclic tensile tests were carried out on superelastic SMA filaments, and based on the test results and the improved Graesser's ontological model in the framework of generalized visco-plasticity, established a macroscopic only-imaginary ontological model that can unify the ratcheting behavior of the phase change of SMA and the stable superelasticity. The study first analyzed the influence of strain amplitude and cycle number on the characteristic parameters and energy dissipation characteristics of the phase transition of superelastic SMA through the experimental results. Second, by taking the accumulation of inelastic strain of SMA as the internal variable and considering the martensitic hardening characteristics, it introduced the evolution equation of the characteristic parameters of superelastic SMA into the improved Graesser model to expand the ontological model that can unify the phase transition behavior of superelastic SMA. It then adopted this ontological model to establish the macro-only model that can unify the phase transition ratchet behavior of SMA and the stable superelastic behavior of SMA. Finally the model is used to numerically simulate the hysteresis curve of hyperelastic SMA during uniaxial cyclic stretching, to compare the predicted results with the hysteresis curve of the experimental results, and to evaluate the prediction error of the energy dissipation of hyperelastic SMA in a single loop. The results showed that the new model could broaden the scope of application of the improved model. And on the basis of retaining the original function, it could also accurately describe the phase change ratchet behavior of superelastic SMA under the influence of varying strain amplitude, with a high prediction accuracy of the single-loop energy dissipation value. The output of this work may provide a better applicative theory for the superelastic SMA energy dissipation unit in engineering practice.
杨涛, 刘章锐, 刘博, 张阳. 考虑应变幅值影响的超弹性SMA相变棘轮行为宏观唯象本构模型[J]. 材料导报, 2025, 39(17): 24050012-6.
YANG Tao, LIU Zhangrui, LIU Bo, ZHANG Yang. A Macroscopic Phenomenological Constitutive Model of Superelastic SMA Phase Transition Ratchet Behavior Considering the Effect of Strain Amplitude. Materials Reports, 2025, 39(17): 24050012-6.
1 Qian H,Chen C,Zhang Q Y,et al. Engineering Mechanics,2023,40(6), 73 (in Chinese). 钱辉,陈程,张庆元,等. 工程力学,2023,40(6), 73. 2 FangC,Wang W,Chen Y Y,et al. Journal of Building Structure,2019,40(7), 1 (in Chinese). 方成,王伟,陈以一. 建筑结构学报,2019,40(7), 1. 3 CuiD, Li H N, Song G B, et al. Journal of Dalian University of Technology, 2007(2), 257 (in Chinese). 崔迪, 李宏男, 宋钢兵. 大连理工大学学报, 2007(2), 257. 4 Yang BH, Qian H, Shi Y F, et al. Materials Reports, 2022, 36(4), 148 (in Chinese). 杨博恒, 钱辉, 师亦飞, 等. 材料导报, 2022, 36(4), 148. 5 Xu W, Huang B, Zhu P L, et al. Journal of Wuhan University of Technology, 2022, 44(9), 43 (in Chinese). 徐伟, 黄斌, 朱培林, 等. 武汉理工大学学报, 2022, 44(9), 43. 6 Du Y F, Han B, Li H. Engineering Mechanics, 2022, 39(12), 190 (in Chinese). 杜永峰, 韩博, 李虎. 工程力学, 2022, 39(12), 190. 7 Qiu S J, Gu Q, Jiang G Q, et al. Engineering Mechanics, 2021, 38(1), 109 (in Chinese). 胡淑军, 顾琦, 姜国青, 等. 工程力学, 2021, 38(1), 109. 8 Wang Z Y, Mao C X, Zhang L Q, Journal of Civil Engineering, 2012, 45(S2), 53 (in Chinese). 王振营, 毛晨曦, 张亮泉. 土木工程学报, 2012, 45(S2), 53. 9 He HF, Zhou Y L, Wu M, et al. Engineering Mechanics, 2023, 40(S1), 283 (in Chinese). 和海芳, 周雨龙, 伍敏, 等. 工程力学, 2023, 40(S1), 283. 10 Qiu C X, Wu C J, Du X L. Journal of Beijing University of Technology, 2022, 48(12), 1226 (in Chinese). 邱灿星, 吴诚静, 杜修力. 北京工业大学学报, 2022, 48(12), 1226. 11 Ozdemir, Haluk. Nonlinear transient dynamic analysis of yielding structures. University of California, Berkeley, 1976. 12 GraesserE, Cozzarelli F. Journal of Intelligent Material Systems and Structures, 1994, 5(5), 78. 13 Zhang ZH, Sheng P, Wang Q T, et al. Chinese Journal of Applied Mechanics, 2016, 33(5), 820 (in Chinese). 张振华, 绳飘, 王钦亭, 等. 应用力学学报, 2016, 33(5), 820. 14 Wilde K, Gardoni P, Fujino Y. Engineering Structures, 2000, 22(3), 222. 15 Zhu S, Zhang Y. Smart Materials and Structures, 2007, 16(5), 1696. 16 Zhang Y, Zhu S. Smart Materials and Structures, 2007, 16(5), 1603. 17 Yang Q J, K Q H, K GZ, et al. Journal of Functional Materials, 2015, 46(10), 10018 (in Chinese). 杨强军, 阚前华, 康国政, 等. 功能材料, 2015, 46(10), 10018. 18 QianH. Study on energy dissipation and shock absorption structure system of shape memory alloy damper. Ph. D Thesis, Dalian University of Technology, China, 2008 (in Chinese). 钱辉. 形状记忆合金阻尼器消能减震结构体系研究. 博士学位论文, 大连理工大学, 2008. 19 ZhouT, Kan Q H, Kang Z G, et al. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(3), 588 (in Chinese). 周廷, 阚前华, 康国政, 等. 力学学报, 2017, 49(3), 588. 20 LiuBo, Wang S L, Li B B, et al. Materials Reports, 2020, 34(14), 14161 (in Chinese). 刘博, 王社良, 李彬彬, 等. 材料导报, 2020, 34(14), 14161. 21 Gao YF, Liang X B, Dong L, et al. Metallic materials-tensile testing Part 1:method of test at room temperature, China Quality Inspection press, China, 2010 (in Chinese). 高怡斐, 梁新帮, 董莉, 等. 金属材料 拉伸试验 第1部分:室温试验方法, 中国质检出版社, 2010.
渝公网安备50019002502923号 版权所有：《材料导报》编辑部
2025, Vol. 39 
