3.1 Effects of temperature and amplitude on twist and springback
The deformed parts at different temperatures and ultrasonic amplitudes are compared in the Fig. 5. It can be observed that the formed parts have different degrees of twist under the unidirectional trajectory. The twist angle φ and springback angle θ1, θ2, sidewall curl ρ of the formed parts are summarized in Table 1.
Table 1
The values of twist angle φ and θ1, θ2, ρ.
T/(℃)
|
A/(µm)
|
Twist angle φ/(°)
|
θ1/(°)
|
θ2/(°)
|
ρ/(mm)
|
60
|
0
|
8.8
|
149.7
|
132.8
|
86.8
|
10
|
8.0
|
148.9
|
133.8
|
107.2
|
20
|
7.2
|
148.5
|
133.8
|
105.5
|
100
|
0
|
9.7
|
144.8
|
131.8
|
83.2
|
10
|
9.1
|
144.3
|
132.5
|
93.4
|
20
|
8.1
|
142.6
|
132.3
|
92.9
|
140
|
0
|
6.2
|
140.2
|
136.0
|
76.2
|
10
|
5.4
|
138.1
|
135.3
|
52.0
|
20
|
4.8
|
137.3
|
135.1
|
63.3
|
3.1.1 Twist
As shown in Fig. 6, with the increase of forming temperature, the twist angle φ of PEEK parts increases slightly and then decreases significantly near Tg. When the temperature begins to rise, the contact friction coefficient between sheets and tool head increases. The increase of tangential force aggravates the twist. However, when the temperature is close to Tg, the softening effect of polymer is more obvious. At this time, the softening effect of material exceeds the effect of increasing friction coefficient. The polymer softening significantly reduces the forming force, so as to reduce the tangent force driven by tool head along the tool trajectory, thus reducing the twist angle. By increasing the temperature, the reduction rate of φ reaches 33%.
In order to verify the increase of temperature reduces the tangential force, the scratches on the inner surface of parts are observed. Figure 7 shows the scratches on the inner surface of the formed part at different temperatures caused by the interaction of tool head. Figure 7 (b,c) shows that there are sharp scratches on the inner surface of PEEK parts at the forming temperatures of 60 ℃ and 100 ℃, and the scratches are obviously alleviated at 140 ℃ (Fig. 7 (d)). It also indicates that the tangential force between the tool head and the sheet is reduced with the increase of temperature.
According to the comparative experimental results at different amplitudes as shown in Fig. 6, the application of ultrasonic vibration can reduce the twist angle φ of polymer, and the twist angle decreases gradually with the increase of amplitude. The maximum reduction rate of φ reaches 23% under the ultrasonic vibration effect. This phenomenon may be due to the periodic discontinuous contact between the tool head and part surface caused by ultrasonic vibration. It reduces the friction and tangential force, resulting in the reduction of twist angle.
3.1.2 Springback
Springback is another major problem of low geometric accuracy in polymer SPIF. The springback mainly includes the continuous local springback around the tool and the global springback after the release of the tool and fixture. The spingback of parts are mainly reflected in the blank holder area, bottom area and side wall. In order to more intuitively compare the effects of ultrasonic vibration and amplitude on springback, the θ1, θ2 and ρ values are summarized and compared in Fig. 8.
Figure 8(a) shows that the springback angle θ1 and θ2 are closer to the target value with the increase of temperature, indicating that the increase of temperature can improve the geometric accuracy of the blank holder area and bottom area of parts. Similar trends are observed in samples with different amplitudes, but the effect is not as significant as temperature. It means that ultrasonic vibration have less effect on the springback angle of blank holder area and bottom area. Under the effect of temperature combined with ultrasonic vibration, the errors of θ1 and θ2 decrease from 14.7° and 3.2° to 2.3° and 0.1°, respectively.
As can be seen from Fig. 8(b), the curl radius ρ of sidewall tends to decrease slightly as the temperature increases. The smaller the curl radius, the more severe the sidewall bulge. It means that the higher temperature reduces the geometric accuracy of the sidewall. Comparing the samples under different amplitudes, it can be found that the effect of ultrasonic vibration on sidewall bulge is greater than that of temperature. Meanwhile, it indicates that the ultrasonic vibration can inhibit the bulge of side wall at 60 ℃ and 100 ℃, while it aggravates the bulge at 140 ℃. The reason for this phenomenon will be explained later.
In order to further explore the influence of ultrasonic vibration on the forming uniformity of part, the thickness of the formed part is measured by thickness gauge at intervals and the thickness distribution diagram is plotted in Fig. 9. As shown in Fig. 9 (a-c), it can be found that the increase of temperature improves the uniformity of part thickness distribution. Moreover, Fig. 9(d) shows that when the temperature increases from 60 ℃ to 140 ℃, the maximum thinning rate of formed part also shows a decreasing trend.
Comparing the samples at the same temperature in Fig. 9, it can be found that the increase of amplitude also improves the uniformity of part thickness distribution. The reduction rate of maximum thinning rate is 3.7%, 2.0% and 4.0% for the part at 60°C, 100°C, and 140°C after applying ultrasonic vibration of 20 µm. These results indicate that increasing temperature and amplitude can improve the forming uniformity of PEEK parts. The increase of forming uniformity is beneficial to reduce the accumulation of residual stress during SPIF process, thus reducing the springback.
These results show that the increase of temperature and the application of vibration can inhibit the twist and springback of SPIF parts. Moreover, the parts have less twist and springback at 140 ℃ and 20 µm amplitude.
3.2 Effect of modified tool trajectory on twist and springback
Although the previous results indicate that appropriate temperature and ultrasonic vibration have an inhibitory effect on the twist and springback of PEEK parts, there are still a certain degrees of twist and springback. Therefore, in order to further reduce the twist and springback of PEEK parts, the modified tool trajectories are developed.
As shown in Fig. 10(a,b), equidistance spiral trajectory (EST) and non-equidistance spiral trajectory (NEST) are generated. EST is the spiral trajectory with a constant step depth (0.5 mm). NEST is the spiral trajectory with increasing step depth from 0.25 mm to 1.5 mm. Figure 10(c,d) shows the mixed contour trajectory with 0.5 mm step depth (MCT-0.5) and the mixed contour trajectory with 1.5 mm step depth (MCT-1.5). The spiral and contour trajectories are designed to investigate the effect of different loading methods on twist and springback. The different step depths are used to compare the effects of step depths on twist and springback. Based on the previous experience, the forming experiments with different trajectories are carried out at 140 ℃ and 20 µm amplitude.
3.2.1 Twist
Figure 11 shows that under the action of the UCT, the part twist 4.8° along the loading direction. Moreover, the parts deformed with the EST and NEST shows larger twist deformation, i.e. 6.8° and 8°. It means that parts deformed by unidirectional loading with either contour or spiral trajectory shows serious twist deformation. However, under the action of MCT (both MCT-0.5 and MCT-1.5), the twist of PEEK parts is almost eliminated. This indicates that the twist of PEEK parts can be effectively suppressed by the alternant loading trajectory of clockwise and counterclockwise. Meanwhile, MCT with different step depths shows similar effect on twist reduction.
3.2.2 Springback
For a more intuitive comparison of the effect of trajectory on springback, the section shape and the forming height of the PEEK parts are measured. Higher forming height represents less springback in height direction. Less error between actual and ideal geometry shows better geometric accuracy. Figure 12(a) compares the section shapes of the formed parts under different trajectories. It can be seen that MCT-0.5 is closest to target height, while NEST is furthest from the target height. As shown in Fig. 12(b), the forming heights of MCT-0.5 and NEST are 38.5 mm and 35.2 mm (target height is 40 mm), and the minimum and maximum errors are 1.5 mm and 4.8 mm respectively. This indicates that the part deformed under MCT-0.5 has the best geometric accuracy. Under the action of MCT-0.5, the forming height is increased by 9.4% and the error is reduced to 1.5 mm compared with NEST.
Figure 13 (a, b) also shows that the springback angles θ1, θ2 are closer to the target value at UCT and MCT-0.5. And under the action of MCT-0.5, PEEK parts have the maximum curl radius ρ. However, EST and NEST show poor geometric accuracy. These also indicate that PEEK parts of MCT-0.5 have the least springback compared to the other trajectories.
These results illustrate that MCT has an obvious inhibitory effect on twist and springback due to the bidiretional loading, and it has the least springback at smaller step depth (MCT-0.5). However, the smaller the step depth, the longer the forming time and the lower the processing efficiency will be. Therefore, considering both processing efficiency and geometric accuracy, MCT with appropriate step depth should be considered in PEEK SPIF.
3.3 Microstructure analysis
In the forming process of semi-crystalline polymers, a series of changes occur, such as reorientation of molecular chain, crystal breakage and microcrystal rearrangement. In addition, the mechanical properties of semi-crystalline polymers are closely related to the orientation of molecular chains, crystallinity and crystal structure [21, 22]. Therefore, it is of great significance to investigate the microstructure evolution of semi-crystalline polymers during the SPIF process. Figure 14 plots the integrated intensity versus 2θ curves of the unformed PEEK. It is concluded that PEEK has a semi-crystalline structure, evidenced by the clear high intensity peak and wide low intensity signal. The former corresponds to the crystallized part and the latter corresponds to the amorphous part. The XRD pattern shows peaks of the diffraction planes (110), (111), (200) and (211) of the PEEK in around 18.6°, 20.6°, 23.2° and 28.9°, respectively. In addition, the crystallinity of the unformed material and the crystallite size of each diffraction plane are also measured and shown in Fig. 14.
3.3.1 Molecular chain orientation
The entanglement of molecular chains is one of the important characteristics of polymer microstructure. During polymer processing, the material shows high deformation resistance due to the entanglement of molecular chains, which will cause considerable difficulties in forming. The mechanical properties of polymers depend significantly on orientation of molecular chains [23, 24]. Greater degree of orientation enables molecular chains to slide past each other easily during deformation, resulting in lesser elastic stiffness and better plastic deformation ability [14].
Figure 15 plots the XRD patterns of PEEK parts at different temperatures. If the molecular chain of the polymer is preferably oriented in one direction, a greater intensity can be seen in the diffraction peak [25]. At the major peaks (2θ = 18.6°, 20.6°, 23.2°), the intensities are generally higher for the part under 140 ℃ as compared to 60 ℃ and 100 ℃. This indicates greater chain orientation in the part of 140 ℃ along these directions. When the forming temperature reaches 140 ℃, the higher temperature will enhance the activity of molecular chain and easily de-entangle the molecular chain. Therefore, the forming temperature close to Tg will increase the degree of orientation, so as to improve the plastic deformation ability of the material and reduce the ability to resist deformation. This is also the reason why the springback decreases when the temperature increases in the polymer SPIF process.
As can be seen from Fig. 16(a,b), the intensities of the major peaks of the PEEK formed parts under 60 ℃ and 100 ℃ increase with the application of ultrasonic vibration and the increase of amplitude. It means greater orientation of parts at 60 ℃ and 100 ℃ due to the application of ultrasonic vibration. The high frequency ultrasonic vibration will weaken the intermolecular force of polymer, enhance the activity of chain segments, and promote the untangling of molecular chain under the action of ultrasonic vibration. It is likely that when the forming temperature is lower than Tg, the application of ultrasonic vibration can reduce the deformation resistance of the material, increase the fluidity of the polymer, and improve the processability at the molecular level.
Figure 16(c) shows that the intensities of major peaks in the parts under 140 ℃ decrease to a certain extent after the ultrasonic vibration is applied. Yang et al. [26] noticed that when the ultrasonic vibration reached a certain extent, slip systems of the aluminum sheet influenced each other and caused a hindrance to dislocation motion. Hence, the intensity of the external force was further increased to circumvent obstacles between dislocations, and it resulted in a hardening effect of ultrasonic vibration. For semi-crystalline polymer sheets, as the forming temperature approaches Tg, the higher temperature makes the molecular chain more active, and the chain segments have been tightly arranged and ordered. However, the application of ultrasonic vibration at this time may not enhance the ordered arrangement, but may break the existing tight structure. Due to the lower orientation of the molecular chain, the "hardening effect" of the polymer occurs, which increases the deformation resistance and results in the increase of springback. This is also the reason why the side wall bulge of PEEK part increases when ultrasonic vibration is applied at 140 ℃.
3.3.2 Crystallinity and crystallite size
For further analysis, the crystallite size is estimated by Scherrer Equation [27], as shown in Eq. (1):
$$D{\text{=}}\frac{{K\lambda }}{{\beta \cos \theta }}$$
1
Where K is a constant, λ is the wavelength of radiations, θ is the diffraction angle, β is the full width at half maxima of the diffraction peak. The crystallinity of each sample is defined by the ratio of crystalline and amorphous diffraction peaks, and it is shown in Fig. 17(a). The crystallite size of the main crystalline diffraction plane (110) is estimated by Eq. (1) and then plotted in Fig. 17(b).
It can be inferred from Fig. 17(a,b) that the crystallinity of the formed parts are lower than that of the unformed part due to crystal breakage caused by uneven deformation at 60 ℃ and 100 ℃, and the crystallite size of the formed parts are also significantly smaller than that of the unformed part. After the ultrasonic vibration is applied, the crystallinity of the samples at 60 ℃ and 100 ℃ recover to some extent, and the crystallite size further decrease. Studies [28, 29] reported that the chain orientation influences the crystallization kinetics in polymer crystallization. Therefore, the orientation effect of molecular chain caused by ultrasonic vibration at 60 ℃ and 100 ℃ may induce the crystallization and nucleation of PEEK, so as to improve the crystallinity and reduce the crystallite size. The crystallite refinement at 60 ℃ and 100 ℃ may improve the plasticity and processability of material, reduce the stress accumulation during the SPIF process, thus reduce the springback. However, the molecular chain disorientation effect of parts at 140 ℃ after the ultrasonic vibration is applied, results in the opposite trend (both microstructure and mechanical properties).
The results of XRD show that the appropriate forming temperature can improve the orientation of molecular chains. Moreover, the application of ultrasonic vibration at 60 ℃ and 100 ℃ can further increase the molecular chain orientation, improve the crystallinity and refine the crystallite. This is beneficial to reduce the deformation resistance and springback in the SPIF process. However, the application of ultrasonic vibration at 140 ℃ cannot improve the tight arrangement of the molecular chain, but will reduce the degree of orientation.