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Acta Metall Sin  2020, Vol. 56 Issue (3): 361-373    DOI: 10.11900/0412.1961.2019.00197
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Assembly Performance Simulation of NiTiNb Shape Memory Alloy Pipe Joint Considering Coupling Effect of Phase Transformation and Plastic Deformation
CHEN Xiang1,2,3,CHEN Wei1,ZHAO Yang1,LU Sheng1,3,JIN Xiaoqing2,PENG Xianghe2()
1. School of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China
3. State Key Laboratory for Strength and Vibration of Mechanical Structural, Xi'an Jiaotong University, Xi'an 710049, China
Cite this article: 

CHEN Xiang,CHEN Wei,ZHAO Yang,LU Sheng,JIN Xiaoqing,PENG Xianghe. Assembly Performance Simulation of NiTiNb Shape Memory Alloy Pipe Joint Considering Coupling Effect of Phase Transformation and Plastic Deformation. Acta Metall Sin, 2020, 56(3): 361-373.

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Abstract  

The pipe joints based on shape memory alloy (SMA) are widely used in various fields of fluid transport by virtue of their simple structure, easy assembly and high reliability. However, due to the complexity of the NiTiNb constitutive model, the plastic deformation and its effects have yet not been considered in the report of pipe joint connection system. In view of this background, this work constructs an SMA joint-steel pipe system (J-P system) and performs the finite element numerical simulation of the assembling process based on an SMA phenomenological constitutive model, where in the plastic-phase transformation coupling effect is considered. By altering the diameter expansion, wall thickness, service temperature and critical phase transformation, the change features of the von Mises stress, contact pressure and pull-out force of the J-P system are investigated. The results show that due to the coupling effect of phase transformation and plastic deformation, the evolution of Mises stress, equivalent transformation strain and equivalent plastic deformation in SMA joint show obvious regularity during assembly: in the loading stage, the phase transformation strain and plastic deformation increase with the increase of predeformation. At each subsequent loading step, the plastic strain remains unchanged. At the unloading stage, von Mises stress decreases and phase transformation strain remains unchanged. With temperature increase, the phase transformation strain decreases significantly and von Mises stress increases. At subsequent loading steps, von Mises stress and phase transformation strain remains unchanged. Within a certain size, the pull-out force decreases with the increase of diameter expansion; Among the 9 schemes with different wall thickness ratios, the pull-out force changes non-linearly with the wall thickness, and there is an optimal connection performance scheme. Within the range of room temperature (0~40 ℃), the service temperature has little impact on the performance of the J-P system; With the increase of the critical phase transformation, the stress concentration layer within the SMA joint moves from the inside to the outside, and the pull-out force increases gradually within the range of the critical phase transformation from 0.07 to 0.14. The results also show that the stress concentration at the end of contact region can significantly increase the pull-out force of the J-P system.

Key words:  shape memory alloy      pipe joint      phase transformation      plastic deformation      pull-out force     
Received:  18 June 2019     
ZTFLH:  TG139  
Fund: National Natural Science Foundation of China(11802047);National Natural Science Foundation of China(51807019);Foundation and Frontier Projects in Chongqing City(cstc2016jcyjA0594);Foundation and Frontier Projects in Chongqing City(cstc2016jcyjA0443);Open Fund of State Key Laboratory for Mechanical Transmission(SKLMT-KFKT-201711);Open Fund of State Key Laboratory for Strength and Vibration of Mechanical Structures(SV2018-KF-28)

URL: 

https://www.ams.org.cn/EN/10.11900/0412.1961.2019.00197     OR     https://www.ams.org.cn/EN/Y2020/V56/I3/361

Fig.1  2D model of NiTiNb joint-steel pipe line (J-P) system (SMA—shape memory alloy)
MaterialLrWH
NiTiNb SMA joint11.003.005.001.00
Connected pipe7.502.003.220.61
Table 1  Size parameters of 3D model of NiTiNb SMA J-P system (mm)
Fig.2  3D finite element model (a) and sectional view (b) of NiTiNb J-P system (pick point—point used to observe the stress-strain curve, rP—internal diameter of contacted pipe, WP—outer diameter of contacted pipe, LP—length of contacted pipe, rJ—internal diameter of SMA joint, WJ—outer diameter of SMA joint, LJ—length of SMA joint)Color online
Fig.3  Schematics of assembly and pull-out processes (a) and variation curves of variables at different stages (b)Color online
Fig.4  von Mises stress and hoop stress changes at selected points in SMA joints during assembly process
Fig.5  von Mises stress and hoop stress distributions on cross section of SMA joint at the corresponding loading points A1~A5 (a) and B1~B5 (b) in Fig.4 in assembly steps 2 to 3Color online
Fig.6  Distributions of the von Mises stress (a), equivalent transformation strain (b) and equivalent plastic strain (c) on the cross section of the SMA joint at the end of loading stepsColor online
Fig.7  von Mises stress distributions with diameter expansions h=0.14 mm (a), h=0.15 mm (b), h=0.16 mm (c), h=0.17 mm (d), h=0.18 mm (e), h=0.19 mm (f), h=0.20 mm (g) and h=0.21 mm (h)Color online
Fig.8  Contact pressure distributions of inner surface of NiTiNb SMA joint with h=0.14 mm (a), h=0.15 mm (b), h=0.16 mm (c), h=0.17 mm (d), h=0.18 mm (e), h=0.19 mm (f), h=0.20 mm (g) and h=0.21mm (h)Color online
Fig.9  Relationship between pull-out force and h
SchemeLJrJWJ
J111.003.005.60
J211.003.005.00
J311.003.004.40
Table 2  NiTiNb SMA joint size parameter setting table (mm)
SchemeLPrPWP
P17.502.003.10
P27.502.003.16
P37.502.003.22
Table 3  Connected pipe size parameter setting table (mm)

Scheme

NiTiNb SMA jointConnected pipe
rJWJHJrPWPHP
13.005.601.302.003.100.55
23.160.58
33.220.61
43.005.001.002.003.100.55
53.160.58
63.220.61
73.004.400.702.003.100.55
83.160.58
93.220.61
Table 4  NiTiNb J-P system size parameter setting scheme table (mm)
Fig.10  Contact pressure distributions of NiTiNb SMA joint of schemes 1~3 (a), 4~6 (b) and 7~9 (c)Color online
Fig.11  Relationships between contact area (a), pull-out force (b) and outer radius of connected pipe
Fig.12  Relationships between pull-out force and temperature
Fig.13  Stress-strain curves under different critical phase transformation strains (εL)
Fig.14  von Mises stress distributions of NiTiNb J-P system under εL=0.03 (a1), εL=0.04 (a2), εL=0.05 (a3), εL=0.06 (a4), εL=0.07 (a5), εL=0.08 (a6), εL=0.09 (a7), εL=0.10 (a8), εL=0.12 (a9), εL=0.14 (a10) and corresponding NiTiNb SMA joint (b1~b10)Color online
Fig.15  Contact pressure distributions of pipe inner surface under εL=0.03 (a), εL=0.04 (b), εL=0.05 (c), εL=0.06 (d), εL=0.07 (e), εL=0.08 (f), εL=0.09 (g), εL=0.10 (h), εL=0.12 (i) and εL=0.14 (j)Color online
Fig.16  Relationship between εL and pull-out force
Fig.17  Proportion of factors affecting pull-out forceColor online
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