Dynamic Constitutive Model and Finite Element Implementation of Ni-Ti Shape Memory Alloy Based on Irreversible Thermodynamics

被引：0
|
作者：
Li Y. [1 ]
Zeng X. [2 ]
机构：
[1] Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang
[2] College of Architecture and Environment, Sichuan University, Chengdu
来源：
Cailiao Daobao/Materials Reports | 2019年 / 33卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Dynamic constitutive model; Finite element simulation; Phase transformation and plastic behavior; Shape memory alloys; User subroutine UMAT;
D O I：
10.11896/cldb.18040068
中图分类号：
学科分类号：
摘要：
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. © 2019, Materials Review Magazine. All right reserved.
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页码：1676 / 1680
页数：4
相关论文
共 17 条
  • [1] Yang S., Yang S., Zhang X., Et al., Rare Metal Materials and Engineering, 45, 11, (2016)
  • [2] Zheng B., Shang Z., Wang Z., Mechanical Science and Technology of Aerospace Engineering, 27, 9, (2008)
  • [3] Lagoudas D.C., Ravi-Chandar K., Sarh K., Et al., Mechanics of Materials, 35, 7, (2003)
  • [4] Liu J., Hu D., Zheng X., Et al., Rare Metal Materials and Engineering, 42, 5, (2013)
  • [5] Tanaka K., Res Mechanica, 42, 18, (1986)
  • [6] Liang C., Rogers C.A., Journal of Intelligent Material Systems and Structures, 1, 2, (1990)
  • [7] Brinson L.C., Lammering R., International Journal of Solids and Structures, 30, 23, (1993)
  • [8] Urbano M.F., Auricchio F., Journal of Functional Biomaterials, 6, 2, (2015)
  • [9] Lagoudas D.C., Bo Z., International Journal of Engineering Science, 37, 9, (1999)
  • [10] Lagoudas D.C., Shu S.G., International Journal of Mechanical Sciences, 41, 6, (1999)
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