Abstract
A novel local hot gas forming (LHGF) process with non-uniform temperature field was proposed to form AZ31 magnesium alloy long axis bellow. Hot uniaxial tensile tests at temperatures ranging from 573 K to 673 K and strain rates ranging from 0.001
Science Press
Metal bellows are a cylindrical thin-walled shell with radial ripples, which can be extended or shortened under the action of axial tension or compressio
Hydroforming process is commonly used in the manu-facturing of metal bellow
Regarding to forming metal bellows at elevated tempe-rature, a semi-dieless forming process for metal bellows was proposed in Ref.[
A novel local hot gas forming (LHGF) process with non-uniform temperature field was proposed to form AZ31 magnesium alloy long axis bellow. Small forming dies were used to form the bellows step by step, and one wave was formed a time. The forming dies were divided into forming zone and cooling zone, and the formed wave was placed either in cooling zone or in air to prevent the further deformation. A qualified AZ31 magnesium alloy long axis bellow with 5 waves was successfully formed with small dies at 623 K under a constant gas pressure of 14 MPa.
The chemical composition of the AZ31 magnesium alloy used in this study is shown in
The tensile tests were conducted on an electronic universal material testing machine (Instron 5500R). The samples were obtained by wire cutting on a magnesium alloy extruded tube, and the tensile direction coincided with the axial direction of the tube. The dimension of the dog-bone shaped tensile sample is shown in

Fig.2 Three-dimensional geometry and dimension of bellows

Fig.3 Schematic diagram of the forming apparatus for local hot gas forming with non-uniform temperature field

Fig.9 Different gas pressure (a) and bulging height curves (b) during LHGF of bellows at 673 K

Fig.11 shows the thickness distribution of bellows formed at 648 K with different gas pressures. The overall distribution

The three-dimensional geometry and dimension of the bellows studied are shown in
The schematic diagram of the forming apparatus is shown in
Fig.4 shows the true stress-strain curves of AZ31 magne-sium alloy under different strain rates and temperatures. The flow stress of magnesium alloy increases with increasing the strain rate at a constant temperature. The total elongation of the material changes little with decreasing the strain rate from 0.1


Fig.5 shows the yield strength and peak stress of AZ31 magnesium alloy under different strain rates and temperatures. It can be seen from Fig.5a that the yield strength of the material decreases with the increase of temperature. At the strain rate of 0.1
Long axis magnesium alloy bellow has repetitive elements. If it is formed integrally in one step, extremely large forming dies will be needed. On the one hand, the extremely large forming dies will be very costly, and it also has not only high requirement for the working space but also the clamping force of the hydraulic machine. On the other hand, the AZ31 magnesium alloy needs to be formed at elevated temperature due to the poor formability at room temperature, and lots of energy will be consumed to heat the extremely large forming dies, which will increase the cost of the product significantly. To solve the above problems, local hot gas forming with non-uniform temperature field was proposed in this study to realize the forming of long axis bellow with small dies.

The forming principle of the long axis bellow is shown in Fig.6. When the temperature of the die in the forming zone reaches the predetermined value, the initial tube blank is positioned in the die. After the tube reaches the forming temperature, the high-pressure gas is introduced into the tube and the first wave is formed. When it is finished, then open the die, move the tube by a wave distance to form the second wave, so as to form all the other waves. In order to avoid the heat effect on the microstructure of the formed waves, the forming die is divided into forming zone with high temperature and cooling zone with low temperature. The cooling zone can also prevent the possible heat damage on the seal ring. The formed wave will not be deformed again in the cooling zone because of the higher yield strength than the materials in the forming zone. It should be noted that only one wave is formed during the forming tests in Section 2.2.2 and 2.2.3 to study the effects of forming parameters on the formed part.
In order to investigate the influence of temperature on LHGF, the bellows were formed at 573, 623, 648, and 673 K under the constant gas pressure of 14 MPa, and the bulging height curve of bellows with time is shown in Fig.7. At 573 K, the bellows cannot be fully formed within 1500 s under 14 MPa pressure, and the corresponding maximum height of the bellows is 3.186 mm. When the temperature is higher than 573 K, the bellows can be well formed, but the forming time decreases from 807 s at 623 K to 205 s at 673 K, indicating that temperature has a great influence on forming time.
This is because the flow stress of the material is different under different temperature conditions. The flow stress of the alloy decreases with the increase of temperature. When the gas pressure is constant, the decrease of the flow stress causes the material to deform at a faster rate and leads to a higher forming efficiency.
In order to analyze the influence of temperature on the thickness of the formed parts, the axial thickness of the bellows formed at different temperatures with the same forming pressure of 14 MPa was measured. The distribution of the thinning ratio is shown in Fig.8. Due to the insufficient forming height of bellows formed at 573 K, it is not consi-dered. The selection of measurement points is also shown in Fig.8, where only half of the formed waves are presented with 12 measurement points. Among them, points 1~4 are from the straight wall section, points 5~8 from the transition section, and points 9~12 from the top wave section. The transition section and the top wave section are the forming area.


There are two peak points from points 1 to 12, which are point 7 and point 12. Point 7 is in the transition section and point 12 is in the top of the wave. At 673 K, the maximum thinning ratio is 34.94%, the thinning ratio of the highest point of wave is 28.65%, and the minimum forming thinning ratio is 16.63%, indicating that the thickness distribution is very uneven; at 648 K, the maximum thinning ratio is 35.49%, and the thinning ratio of the highest point of wave is 23.70%; at 623 K, the maximum thinning ratio is 31.69%, the thinning ratio of the highest point of wave is 24.62%, and the minimum thinning ratio of the forming area is 19.63%. The uniformity of the thickness distribution increases with decreasing the temperature.
The effect of temperature on the thickness distribution of formed parts is partially because of the different degrees of DRX at different temperatures under the same strain condition. The critical strain required for recrystallization decreases with increasing the temperature. The increasing temperature is helpful to the movement of atoms and can accelerate the migration rate of the grain boundary, leading to more DRX. The dislocation density of the material decreases because of DRX, and the grain size will also be refined, resulting in the decrease of flow stress. The material softening during LHGF causes the local thinning. Therefore, reducing the forming temperature can improve the uniformity of the thickness distribution after LHGF.

In order to study the effect of gas pressure on the forming results, forming tests with different gas pressure at 673 K were performed, and the loading path and bulging height curves are shown in
The strain rate can be calculated according to the bulging height curve, as shown in Fig.10. The increasing gas pressure will increase the strain rate and decrease the forming time. The strain rate increases firstly to a peak value and then decreases gradually until the forming is completed. It can also be seen that the strain rate increases with the increase of gas pressure in the loading stage. After reaching the holding stage, the strain rate decreases continuously. In the later stage of forming, the strain rate remains almost unchanged with value close to 0, indicating that the forming is completed.
Fig.10 Strain rate distribution during LHGF of bellows at 673 K
is the same as that formed at different temperatures. The maximum thinning points of bellows are all located in the middle of transition section. The top of bellows also has lots of thinning. The maximum thinning ratio decreases from 35.49% to 27.83% as the gas pressure decreases from 14 to 10 MPa. When the gas pressure is 10 MPa, there is a small amount of thickness reduction in the straight wall section (1~4 points), indicating that a small amount of self-feeding occurs during the bulging process, which decreases the overall thinning and increases the thickness uniformity. The self-feeding is affected by the friction. Lower pressure can decrease the friction force and is more conducive to self-feeding, which can improve the uniformity of the thickness distribution.
A long axis bellow with 5 waves is finally formed based on the above investigation; the forming temperature is 623 K and the forming pressure is 14 MPa. During the forming of the long axis bellow, only two waves are in the die cavity, and the other formed waves and unformed tube are in air with gas pressure inside, so the forming pressure should be selected carefully to avoid the further deformation of the formed wave. Before the final forming, pressure resistance tests of the original tube and the formed bellow with only one wave are carried out at room temperature to determine the proper gas pressure. It is found that the radius of the tube increases by 0.01 mm when the tube is sealed for 300 s at 15 MPa, so it is safe to form the long axis bellow with small dies when the gas pressure is kept below 15 MPa. The final formed part is shown in

Fig.12 Formed magnesium alloy long axis bellow part
In order to investigate the microstructure of the formed part, the microstructure observation was performed on the highest point A of the bellow, point B in the transition section with great thinning ratio and point D in the undeformed zone. The posi-tions of point A, B and D in the bellows are shown in

Fig.13 Positions of point A, B and D in the bellow

Fig.14 Microstructures in different positions of the bellow formed at 623 K: (a) original structure, (b) point D, (c) point A, and (d) point B
1) A novel local hot gas forming process with non-uniform temperature field is studied by uniaxial tensile tests and forming tests at temperatures ranging from 573 K to 673 K. The effects of temperature and gas pressure on the forming process are explored by forming tests of bellow with one wave under different conditions.
2) The elongation increases with increasing the temperature and decreasing the strain rate, but flow stress decreases. The middle area in the transition section has the largest thinning ratio because of the biaxial tension stress state. The uniformity of the thickness distribution increases with decreasing the temperature due to more material softening at higher tempe-ratures caused by DRX. Lower gas pressure can decrease the friction force and is more conducive to self-feeding, which can improve the uniformity of the thickness distribution.
3) A qualified AZ31 magnesium alloy long axis bellow with 5 waves can be successfully formed with small dies at 623 K under a constant gas pressure of 14 MPa. The average grain size at the wave crest is refined from 21.8 μm in the initial to 16.56 μm after forming, but the average grain size in the straight wall section grows from 21.8 μm to 34.7 μm after forming. Reducing the length of dies in the forming zone and reducing both the soaking and forming time can also be helpful to lessen the grain growth in the straight wall section.
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