Dynamic Constitutive Model and Finite Element Implementation of Ni-Ti Shape Memory Alloy Based on Irreversible Thermodynamics
LI Yunfei1, ZENG Xiangguo2
1 Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621999 2 College of Architecture and Environment, Sichuan University, Chengdu 610065
Abstract: In order to actually describe the mechanical behaviourof Ni-Ti shape memory alloys (SMAs) subjected to high strain rate, the master equations which based on irreversible thermodynamics theory is derived by assuming two internal variables to characterize stress-induced martensitic transformation evolution and plastic evolution. Thus a three-dimensional dynamic constitutive model is developed by summarizing master equations of phase transformation and plasticity in the loading process of Ni-Ti alloy. Adopting a stress compensation updating algorithm to update inelastic strain increment, the phenomenological-based constitutive model is embedded into ABAQUS finite element software through user subroutine UMAT with FORTRAN code. Numerical simulation of dynamic responses of Ni-Ti alloy under high strain rate is successfully implemented. The numerical simulation results are in good agreement with experimental data so that the proposed model validation is conducted. The results show that the proposed model not only can describe well the different deformation stage of Ni-Ti alloy but also the constitutive behavior subjected to different strain rates. And it provides the basis for the practical application of Ni-Ti alloy in the condition of impact and high speed cutting.
李云飞, 曾祥国. 基于不可逆热力学的Ni-Ti合金动态本构模型及其有限元实现[J]. 材料导报, 2019, 33(10): 1676-1680.
LI Yunfei, ZENG Xiangguo. Dynamic Constitutive Model and Finite Element Implementation of Ni-Ti Shape Memory Alloy Based on Irreversible Thermodynamics. Materials Reports, 2019, 33(10): 1676-1680.
1 Yang Shengnan, Yang Suyuan, Zhang Xiao, et al.Rare Metal Materials and Engineering, 2016, 45(11), 2847(in Chinese). 杨胜男,杨素媛,张晓,等. 稀有金属材料与工程, 2016, 45(11), 2847. 2 Zheng Biyu, Shang Zejin, Wang Zhongmin. Mechanical Science and Technology of Aerospace Engineering, 2008, 27(9), 1236(in Chinese). 郑碧玉,商泽进,王忠民. 机械科学与技术, 2008, 27(9),1236. 3 Lagoudas D C, Ravi-Chandar K, Sarh K, et al. Mechanics of Materials, 2003, 35(7),689. 4 Liu Jinxu,HuDandan, Zheng Xiuhua, et al. Rare Metal Materials and Engineering, 2013, 42(5),942(in Chinese). 刘金旭,胡丹丹,郑秀华,等.稀有金属材料与工程,2013,42(5),942. 5 Tanaka K. Res Mechanica, 1986, 18,251. 6 Liang C, Rogers C A. Journal of Intelligent Material Systems and Structures, 1990, 1(2), 207. 7 Brinson L C, Lammering R. International Journal of Solids and Structures, 1993, 30(23), 3261. 8 Urbano M F, Auricchio F.Journal of Functional Biomaterials, 2015, 6(2),398. 9 Lagoudas D C, BoZ. International Journal of Engineering Science, 1999, 37(9),1141. 10 Lagoudas D C, Shu S G.International Journal of Mechanical Sciences, 1999, 41(6),595. 11 Auricchio F, Taylor R L.Computer Methods in Applied Mechanics and Engineering, 1997, 143(1), 175. 12 Auricchio F, Taylor R L, Lubliner J. Computer Methods in Applied Mechanics and Engineering, 1997, 146(3), 281. 13 Lubliner J, Auricchio F.International Journal of Solids and Structures, 1996, 33(7),991. 14 Peng X, Chen B, Chen X, et al.Acta Mechanica Solida Sinica, 2012, 25(3), 285. 15 Saint-Sulpice L, Chirani S A, Calloch S. Mechanics of Materials, 2009, 41(1), 12. 16 Hu Guijuan, Zhang Keshi, Huang Shihong.Journal of Guangxi University (Natural Science), 2011, 36(1), 166 (in Chinese). 胡桂娟,张克实,黄世鸿. 广西大学学报(自然科学版), 2011, 36(1), 166. 17 Chen Huayan, Chen Cheng, Zeng Xiangguo, et al. Journal of Sichuan University (Engineering Science), 2016, 48(2), 219(in Chinese). 陈华燕,陈成,曾祥国,等. 四川大学学报(工程科学版), 2016,48(2), 219.
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2019, Vol. 33 
