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

doi:10.11896/cldb.18040068

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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.

Key words： shape memory alloys phase transformation and plastic behavior dynamic constitutive model user subroutine UMAT finite element simulation

Published: 16 May 2019

CLC number:

TG113.2

Fund:This work was supported by National Natural Science Foundation of China Academy of Engineering Physics and jointly set up “NSAF” joint fund (U1430119).

About author:: Yunfei Li received his PhD. degree in June 2018 from Sichuan University in engineering. From July 2012 to the present, he worked at the Institute of Systems Engineering (CAEP), focusing on the research of dynamic constitutive model of materials and its applications.

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Cite this article:

LI Yunfei,ZENG Xiangguo. Dynamic Constitutive Model and Finite Element Implementation of Ni-Ti Shape Memory Alloy Based on Irreversible Thermodynamics[J]. Materials Reports, 2019, 33(10): 1676-1680.

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http://www.mater-rep.com/EN/10.11896/cldb.18040068 OR http://www.mater-rep.com/EN/Y2019/V33/I10/1676

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