NiTiNb记忆合金热力学性能的试验及其唯象本构模型

doi:10.3901/JME.2020.04.065

机械工程学报 ›› 2020, Vol. 56 ›› Issue (4): 65-75.doi: 10.3901/JME.2020.04.065

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NiTiNb记忆合金热力学性能的试验及其唯象本构模型

陈翔^1,2,3, 陈伟¹, 禄盛¹, 金晓清², 马文生³, 赵洋¹

1. 重庆邮电大学先进制造工程学院重庆 400065;
2. 重庆大学机械传动国家重点实验室重庆 400044;
3. 重庆水泵厂有限责任公司重庆 400000

收稿日期:2019-03-18 修回日期:2019-10-29 出版日期:2020-02-20 发布日期:2020-04-23
通讯作者: 赵洋(通信作者),男,1988年出生,博士,副教授,硕士研究生导师,重庆机电集团博士后。主要研究方向为大型燃气轮机结构强度和振动性能的数值仿真及试验。E-mail:zhaoyang@cqupt.edu.cn
作者简介:陈翔,男,1987年出生,博士,副教授,硕士研究生导师,重庆机电集团博士后。主要研究方向为智能材料和结构热-机械性能的试验和数值模拟,先进涂层材料微观性能计算。E-mail:chenxiang@cqupt.edu.cn
基金资助:
国家自然科学基金（11802047，51807019）、重庆市基础与前沿（cstc2016jcyjA0594，cstc2016jcyjA0443）和国家重点实验室开放基金（SKLMT-KFKT-201711，SV2018-KF-28）资助项目。

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

CHEN Xiang^1,2,3, CHEN Wei¹, LU Sheng¹, JIN Xiaoqing², MA Wensheng³, ZHAO Yang¹

1. School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065;
2. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044;
3. Chongqing Water Pump Factory Co., Ltd., Chongqing 400000

Received:2019-03-18 Revised:2019-10-29 Online:2020-02-20 Published:2020-04-23

摘要/Abstract

摘要： 现有形状记忆合金（Shape memory alloy， SMA）管接头数值分析中没有考虑塑性变形及其影响，基于不可逆热力学框架，考虑塑性变形对逆向马氏体相变的影响，构建相变和塑性耦合的NiTiNb SMA唯象学本构模型，基于有限元软件ABAQUS二次开发功能，编译用户自定义子程序，对SMA热机耦合作用过程进行数值模拟，并与NiTiNb合金低温下的拉伸和约束升温性能试验研究结果对比。结果表明，数值分析结果能够很好地描述试验所得的应力应变曲线和升温过程的应力温度曲线特征，能够描述材料预变形提高逆向马氏体相变温度的规律，得到低温变形及升温恢复过程中材料内部Mises应力、等效相变应变和等效塑性应变的演化规律。结果表明数值仿真与试验取得了较好的一致性，为进一步的SMA管接头装配性能模拟及设计优化奠定基础。

关键词: 形状记忆合金(SMA), 塑性变形, 本构模型, 数值模拟

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

中图分类号:

TG139

陈翔, 陈伟, 禄盛, 金晓清, 马文生, 赵洋. NiTiNb记忆合金热力学性能的试验及其唯象本构模型[J]. 机械工程学报, 2020, 56(4): 65-75.

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.

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NiTiNb记忆合金热力学性能的试验及其唯象本构模型

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

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