Abstract
A novel porthole extrusion process combined with corner extrusion principle for AZ91 pipe was presented. This new extrusion process can not only extend the length of the welding chamber, but also increase the rigidity of the latch needle, thereby ensuring the dimensional accuracy of pipe. Meanwhile, this new extrusion method can increase the deform degree and improve the dynamic recrystallization of the pre-welded metal, which can improve the welding quality and pipe quality. Then, the metal flowing characteristic, distribution feature of effective strain and mean stress in the corner porthole chamber were revealed; the results show that the effective strain of the separated metal becomes larger after flowing through the corner of the welding chamber, which can promote the quality of the welding seam. And the mean stress in the welding chamber is larger than 240 MPa, which satisfies the welding pressure condition. The influence rules of extrusion speed, die angle and billet preheating temperature on the mean stress in the welding chamber were also discussed; the result shows that the higher extrusion speed and the higher preheating temperature of the billet can enhance the mean stress in the welding chamber, which can improve the welding quality. The larger die angle can lead to higher mean pressure.
Science Press
Due to the lower density, higher specific strength and completed recyclability of magnesium alloy, the pipe made of it has been widely used in many significant industries such as transportation and aerospace. The magnesium alloy pipe can be manufactured by needle extrusion process and porthole extrusion process, while the porthole extrusion process is the primary method to extrude magnesium alloy pipe due to its higher size precision and higher production efficienc

Fig.1 Cracking of the welding line of the pipe formed by the porthole extrusion method in bulging proces
The traditional porthole extrusion method to produce the pipe is shown in

Fig.2 Present pothole extrusion method: (a) traditional extrusion and (b) welding chamber with angle
It can be found from above researches that the welding quality of the pipe in the porthole extrusion process can be enhanced by higher welding chamber. However, the higher welding chamber needs longer mandrel, which will decrease the stiffness of the mandrel, and decrease the precision of the pipe thicknes
Therefore, it is incompatible to improve the precision of the pipe thickness and strength of welding seam in the traditional extrusion process (
However, the flow behavior of the metal in the new porthole extrusion method will become very complex due to the intense thermo-mechanical coupling effect caused by shear deformation mechanism. And this will affect the welding pressure, welding temperature and the strain. Therefore, it is necessary to reveal the influence rules of the key extrusion parameters on the deformation behavior of the metal in the new extrusion process. But it is difficult to obtain the filed information including welding pressure, deformation status, etc by experiment, while the finite element method is convenient and fast.
Therefore, in this study, the finite element method was firstly developed and verified based on the DEFORM-3D platform and experimental extrusion of AZ91 plate. And then, the metal flow behavior, deformation status and distribution of mean pressure in the corner porthole extrusion process were revealed. Finally, the influence rules of key extrusion para-meters on the deformation temperature, welding pressure and deformation status of the pipe were revealed. The obtained result can provide very useful guidance for improving the welding quality of pipe in the porthole extrusion process.
The accurate and reliable finite element model is firstly needed for researching the magnesium profile extrusion process by finite element method. However, for obtaining the accurate and reliable finite element model, the accurate model information including precise boundary conditions (friction coefficient, heat transform coefficient, etc), accurate material model and reasonable mesh distribution is the primary condition. Therefore, in this section, the needed information mentioned above for the development of finite element model is verified and ensured.
Due to the similar forming principle of the plate extrusion and pipe extrusion, the needed information for the finite element model of these two extrusion processes can be used commonly. Therefore, AZ91 plate extrusion process is simulated to verify the accuracy of the information for the finite element model. In Ref.[

Fig.3 Geometry model for AZ91 plate extrusion process
The needed information for the material model in the FE model includes constitutive model of material and physical parameters of material.
The constitutive model of AZ91 can be obtained from Ref.[
The needed physical parameters include elasticity modulus, Poisson's ratio, heat conductivity and specific heat. Their va-lues for AZ91 are shown in
(1) |
The necessary boundary conditions for the FE model includes friction coefficient, heat transform coefficient between billet and extrusion tools, heat radiation coefficient of billet and extrusion tools, and heat convection coefficient between heated billet and environment. Due to the high sensitivity of deformation behavior of AZ91 magnesium alloy to the deformation temperature, the heat loss in the billet transfer process from heat furnace to extrusion container is necessary to be considered. So the heat convection between heated billet and environment is opened in FE model, and the heat convection coefficient is set as 0.02 N·m
In the section above, the geometry model, material model and the boundary conditions for the FE model are described. In this section, the FE model for the extrusion process of AZ91 profiles is established based on the DEFORM-3D platform. Due to the geometry plane symmetry of the extrusion model, the quarter model is simulated. Firstly, the geometry model is saved as STL stile format, and then imported into DEFROM-3D software through pre-processor module. Secondly, the billet and extrusion tools are meshed, and the meshed module can be seen from

Fig.4 Meshed FE model of AZ91 plate
Extrusion load is the comprehensive expression of the friction and material deformation character under different deformation conditions, which is widely used to verify the accuracy of the FE mode

(2) |
The needed information for the finite element model is verified in above section. Based on the accurate boundary condition and the material model, the finite element model for the corner porthole extrusion of AZ91 pipe is developed. The deformation behavior of the pipe in the extrusion is analyzed.
In current study, the simulated cylinder billet size is φ×L=120 mm×220 mm, the extruded pipe size is φ×t=70 mm×6 mm, the extrusion ratio is λ=9.375. The deformation tem-perature is 420 °C, and extrusion speed is 5 mm/s. The mate-rial model and boundary conditions used in this section are the same as those in the section above. In summary, the simulation information for the pipe extrusion process of corner porthole die is shown in
The metal flowing behavior of metal has a significant effect on the control of pipe qualit

Fig.6 Metal flowing behavior in the extrusion process: (a) step 30, (b) step 70, (c) step 100, (d) step 150, (e) step 190, (f) step 220, (g) step 260, and (h) step 290
Next, the separated metal flows through the corner (
The evolution of the effective strain in the extrusion process of corner weld chamber is observed, as shown in Fig.7. It can be seen from Fig.7a that the effective strain increases greatly when the separated metal flows through the corner due to the corner shear deformation mechanism. Fig.7b shows the values of effective strain of the observed points shown in Fig.7a. We can find that the effective strain can reach 1.4. This can induce a completed dynamic recrystallization of the deformed AZ91 magnesium alloy, which is beneficial to reinforce the quality of the welding seam.

Mean stress in welding chamber is a very important index to measure the welding qualit
Fig.8a shows the mean stress under the extrusion condition in
Fig.8b exhibits the distribution of the mean stress in the welding chamber along the radial direction, and it can be found that the mean stress increases from inner to outer in the radial direction. Apart from this, it can also be found that the pressure decreases gradually with the point approaching the die exit.
In the extrusion process of AZ91 pipe, the extrusion speed and billet preheat temperature are two key extrusion parameters to control the pipe's quality, so it is necessary to understand the effects of these two extrusion parameters on the welding pressure. Except this, the effect of die angle on the mean pressure is also discussed. In order to reveal the influence law of these three extrusion parameters on the mean pressure, the following simulation conditions are used.
(1) For revealing the influence rule of the billet preheating temperature T0 on the mean pressure, take T0 as 380, 400, 420, and 440 °C, and keep other extrusion parameters unchanged, including extrusion speed v=5 mm/s, die preheating tempe-rature Tm=400 °C. Meanwhile, maintain other needed simu-lation information the same as that shown in

(2) In order to reveal the effect law of extrusion speed v on the mean pressure, take v as 2, 4, 6, 8, and 10 mm/s, and keep other extrusion parameters at a constant, including billet preheating temperature T0=410 °C, die preheating temperature Tm=400 °C. At the same time, keep other needed simulation information the same as that shown in
(3) For revealing the influence rule of the angle β on the mean pressure, take β as 105°, 110° 115°, and 120°, and keep other extrusion parameters unchanged, including extrusion speed v=5 mm/s, die preheating temperature Tm=400 °C, billet preheating temperature T0=410 °C. Meanwhile, maintain other needed simulation information the same as that shown in
In current study, the iso-surface of mean stress in the welding chamber is presented and analyzed. Besides, the average value of the 60 sample points shown in Fig.8 is used to represent the measurement index of mean stress in the welding chamber.
The iso-surface of mean stress under different extrusion speeds in the welding chamber can be seen from

Fig.9 Iso-surface of mean stress in the welding chamber at different extrusion speeds: (a) v=2 mm/s, (b) v=4 mm/s, (c) v=6 mm/s, (d) v=8 mm/s, and (e) v=10 mm/s
It also can be found from Fig.10 that the average mean stress in the welding chamber increases with extrusion speed. The reason for this phenomenon can be explained by the fact that increasing the extrusion speed can result in more metal flowing into the welding chamber, and the larger extrusion speed can lead to higher flowing speed of the metal, which can lead to the increase of the welding pressure in the welding chamber.

The iso-surface of mean stress at different billet preheating temperatures is shown in

Fig.11 Iso-surface of mean stress at different billet preheating temperatures: (a) T0=380 °C, (b) T0=390 °C, (c) T0=400 °C, (d) T0=410 °C, (e) T0=420 °C, and (f) T0=430 °C
At the same time, the influence rule of the billet preheating temperature on the welding pressure can be seem from Fig.12. We can find that the welding pressure increases firstly and then decreases. The reason for this is that the flow stress of the AZ91 alloy is larger when the pipe is extruded at lower temperatures, so the friction force between billet and extrusion die becomes larger, which can hinder the flowing of the metal.

With the increase of the preheating temperature, the friction between billet and extrusion die becomes smaller due to the lower deformation resistance, and this can increase the flowing ability of the metal in the welding chamber. There-fore, the welding pressure increases with increasing the preheating temperature from 380 °C to 420 °C. And then, as the preheating temperature of the billet increases from 420 °C to 440 °C, the flowing resistance can further decrease, which can further improve the flowing ability of the metal in the welding chamber to exit to form the pipe, and decrease the mean stress in the welding chamber.
The iso-surface of mean stress at different angles is shown in

Fig.13 Iso-surface of mean stress at different die angles: (a) β=105°, (b) β=110°, (c) β=105°, and (d) β=120°

Fig.14 shows the effect of the die angle on the mean stress in the welding chamber with angle. It can be found that the average value of the mean stress increases with increasing the die angle. Therefore, this indicates that the chamber with a bigger angle can improve the welding quality of the AZ91 pipe.
1) The deformation degree of the pre-welding metal can be improved, and the length of the welding chamber can be extended through combining channel angular extrusion technology with the porthole extrusion process, which can effectively enhance the welding quality of AZ91 pipe.
2) With the increase of extrusion speed, the welding pre-ssure increases. With the increase of billet preheating tem-perature, the welding pressure firstly increases and then decreases, so the temperature range T0=400~420 °C is recom-mended for the practical extrusion process.
3) The mean stress in the welding chamber increases with die angle increasing in the range of β=105°~120°.
References
Jo H H, Lee S K, Jung C S et al. Journal of Materials Processing Technology[J], 2006, 173: 223 [Baidu Scholar]
Kim K J, Lee C H, Yang D Y. Journal of Materials Processing Technology[J], 2002, 130-131: 426 [Baidu Scholar]
He Zhubin, Wang Xiaosong, Yuan Shijian. Acta Metallurgica Sinica[J], 2007, 43: 534 (in Chinese) [Baidu Scholar]
Sikand R, Kumar A M, Sachdev A K et al. Journal of Materials Processing Technology[J], 2009, 209: 6010 [Baidu Scholar]
He Y F, Xie S S, Cheng L et al. Journal of Wuhan University of Technology-Mater[J], 2011, 26: 292 [Baidu Scholar]
Yu J Q, Zhao G Q, Chen L. Journal of Materials Processing Technology[J], 2016, 237: 31 [Baidu Scholar]
Liu Jian, Feng Di, Zou Yanming et al. J Cent South University Technol[J], 2010, 17: 688 [Baidu Scholar]
Zeng Wenhao, Wei Gang, Deng Xiaoliang. Forging & Stamping Technology[J], 2017, 42: 92 (in Chinese) [Baidu Scholar]
Huang Dongnan, Zhang Zhihao, Li Jingyuan. The Chinese Journal of Nonferrous Metals[J], 2010, 20(5): 954 (in Chinese) [Baidu Scholar]
Luo Yongxin. Thesis for Master[D]. Changsha: Hunan University, 2007: 16 (in Chinese) [Baidu Scholar]
Asadi P, Mahdavinejad R A, Tutunchilar S. Materials Science and Engineering A[J], 2011, 528: 6469 [Baidu Scholar]
Liu Zhiwen, Li Luoxing, Yi Jie. The International Journal of Advanced Manufacturing Technology[J], 2017, 92: 1039 [Baidu Scholar]
Liu G, Zhou J, Duszczyk J. Journal of Materials Processing Technology[J], 2008, 200: 185 [Baidu Scholar]
Dang L, Yang H, Guo L G et al. The International Journal of Advanced Manufacturing Technology[J], 2014, 76: 1421 [Baidu Scholar]
Zhang C, Zhao G, Chen H et al. The International Journal of Advanced Manufacturing Technology[J], 2011, 60: 101 [Baidu Scholar]
Chen G, Chen L, Zhao G et al. The International Journal of Advanced Manufacturing Technology[J], 2016, 91: 1897 [Baidu Scholar]
Jo SKL H H, Lee S B, Kim B M. International Journal of Machine Tools & Manufacture[J], 2002, 22: 753 [Baidu Scholar]