3.1 Residual stress reconstruction based on contour method
According to the steps of the contour method in Section 2.4, the residual stress perpendicular to the cross-section of the workpiece is calculated. The stress distribution cloud map of the cross-section is shown in Fig. 3. From the graph, it can be seen that the residual stress distribution trend of all specimens is similar, with tensile stress at the center and compressive stress on both sides. No matter what cryogenic treatment parameters are used, the stress distribution state of all specimens will not be changed. When the material is quenched, due to the external cooling of the material first, the external atoms will shrink, resulting in compressive residual stress. However, the cooling rate inside the material is slow and in a state of thermal expansion, resulting in tensile residual stress between the atoms[18].
To further analyze the influence of cryogenic treatment parameters on residual stress inside hydrogen steel, this paper selects the maximum residual stress in the core of the sample as the research object. According to previous research, the maximum amplitude of residual stress in the core of hydrogen resistant steel after solid solution treatment is 413MPa[19]. The residual stress amplitude and residual stress relief rate of hydrogen resistant steel under different cryogenic treatment parameters are shown in Table 3. From Table 3, it can be observed that the stress amplitude under # 8 is the highest, with a value of 166 MPa. It can also be observed that the stress amplitude at # 3 is the smallest, with a value of 93MPa and a maximum stress reduction rate of 77.5%.
Table 3
Residual stress amplitude under different cryogenic treatment parameters.
Number | Residual stress amplitude | Residual stress reduction rate |
#1 | 133MPa | 67.8% |
#2 | 111MPa | 73.1% |
#3 | 93MPa | 77.5% |
#4 | 146MPa | 64.6% |
#5 | 137MPa | 66.8% |
#6 | 140MPa | 66.1% |
#7 | 156MPa | 62.2% |
#8 | 166MPa | 59.8% |
#9 | 138MPa | 66.6% |
In order to compare the changes in residual stress under different cryogenic treatment parameters, multiple nodes were selected at the same position on the workpiece cross-section and plotted as a straight line. Three residual stress evaluation lines with a distance of 3mm(L1), 6mm(L2), and 9mm(L3) from the end face were selected. L1, L2, and L3 represent the residual stress distribution on the upper, central, and lower end faces of the specimen, as shown in Fig. 4. There are three main types of residual stress. The first type of residual stress is distributed on large grain boundaries of materials, known as macroscopic residual stress. The second type of residual stress is distributed within a small area of the material. The third type of residual stress maintains equilibrium within a small region of the material (several atomic intervals). This article mainly studies macroscopic residual stress. The uneven contraction of the workpiece during the cold and hot process leads to differences in the elastic-plastic deformation inside the material[13]. Therefore, the residual stress generated during quenching, cryogenic treatment, and heat treatment of workpieces should be the focus of research. From the figure, it can be observed that the residual stress range of specimens #2 and #3 is significantly smaller than that of other specimens. For the evaluation lines L1 and L3 on both sides, the residual stress range for specimens #1 and #4~#9 is 150MPa~-130MPa. The range of residual stress in samples #2 and #3 is 70MPa~-20MPa. Compared to the residual stresses at the core and edges of other specimens, both #2 and #3 show a significant decrease. For the evaluation line L2 of the center, the residual stress range of specimens #1, #4~#9 is 170MPa~-130MPa. The residual stress range of samples #2 and #3 is 110MPa ~ 10MPa. Similarly, the residual stress values have significantly decreased. From Fig. 4, it can be observed that the optimal parameters for reducing residual stress are − 130℃, 10h, -2.5℃/min, and 3 cycles of cold and hot cycles. Through the optimal cryogenic treatment parameters, the residual stress in the core of the sample is significantly reduced.
3.2 The influence of cryogenic treatment parameters on residual stress
The cryogenic treatment parameters of materials have a significant impact on residual stress. The main and secondary effects of different cryogenic treatment parameters on residual stress have been further studied. The main and secondary effects of four cryogenic treatment parameters on residual stress in hydrogen steel specimens were obtained through range analysis. The calculation steps of the range analysis method are as follows: (1) Calculate the sum of the results Kjm of the four parameters at each level (where j represents the j-th factor and m represents the m-th level of the j-th factor), (2) Obtain the average value kjm through step 1 (where j represents the j-th factor and m represents the m-th level of the j-th factor), and then obtain the optimal combination parameters of all factors; (3) Calculate the magnitude of the range Rj (where j represents the j-th factor) and determine the primary and secondary effects of the four parameters on residual stress in hydrogen steel specimens[20].
Table 4
Range analysis under different cryogenic treatment parameters
Analysis project | Temperature | Time | Frequency | Cooling rate |
\({K}_{1}\) | 337 | 435 | 439 | 408 |
\({K}_{2}\) | 423 | 414 | 395 | 407 |
\({K}_{3}\) | 460 | 371 | 386 | 405 |
\({k}_{1}\) | 112.3 | 145.0 | 146.3 | 136.0 |
\({k}_{2}\) | 141.0 | 138.0 | 131.7 | 135.7 |
\({k}_{3}\) | 153.3 | 123.7 | 128.7 | 135.0 |
Optimal | -130℃ | 10h | 3 | -2.5℃/min |
\({R}_{j}\) | 41.0 | 21.3 | 17.7 | 1.0 |
Impact sequence | 1 | 2 | 3 | 4 |
According to Table 4, it can be found that the order of the influence of cryogenic treatment parameters on the initial residual stress of hydrogen steel is cryogenic treatment temperature > cryogenic treatment time > cryogenic cycle number > cooling rate. The maximum range value is at a deep cold temperature, with a value of 41.0. Therefore, the cryogenic treatment temperature has the greatest impact on the initial residual stress of hydrogen resistant steel. When the cryogenic treatment temperature is -130 ℃, the residual stress amplitude of hydrogen resistant steel is the lowest. This is different from the research results of Cardoso et al., who believe that the optimal cryogenic treatment time is 12h-24h[21]. In addition, Niu et al. also studied the effect of cryogenic treatment parameters on residual stress through polarity analysis of orthogonal experiments. Their research found that the order of influence is: cryogenic treatment temperature < cooling rate < number of cycles < cryogenic time[22]. The reason why their research results differ from this article is because the materials studied are different. The range of deep cold insulation time is 21.3. Through experiments and finite element simulations, it was found that the residual stress of hydrogen resistant steel decreases with the increase of cryogenic insulation time. The range of cold and hot cycle times is 17.7. It is worth noting that the maximum amplitude relief rate of residual stress during the first cryogenic treatment is 64.6%. However, the maximum residual stress amplitude relief rate of the second cryogenic treatment compared to the first cryogenic treatment is 9.98%. Similarly, the maximum residual stress amplitude relief rate of the third cryogenic treatment compared to the second cryogenic treatment is only 2.28%. Therefore, it can be observed that the effect of cryogenic treatment on reducing residual stress decreases continuously with the increase of cold and hot cycles. Furthermore, it can be observed from Table 4 that the cooling rate of cryogenic treatment has the smallest impact on residual stress, with a value of 1.0. Therefore, the calculation results indicate that the temperature rate has almost no effect on the initial residual stress of hydrogen resistant steel. Therefore, the optimal parameter combination for cryogenic treatment of hydrogen resistant steel is -130 ℃ (cryogenic temperature), 10 hours (cryogenic insulation time), 3 cycles (cold and hot cycles), and − 2.5 ℃/min (cooling rate). The range analysis results are consistent with the residual stress amplitude analysis results, with a residual stress amplitude of 93MPa and a elimination rate of 77.5%.
3.3 Research on residual stress reduction methods
During the processing, the removal of a large amount of material can lead to the release of residual stress. The release of residual stress has a significant impact on the machining deformation of thin-walled parts[23]. Through the above research, it was found that the effect of reducing residual stress is most significant under # 2 and # 3. Therefore, based on this, this study proposes a new aging method: cryogenic treatment + ultrasonic vibration. In addition, a specialized ultrasonic vibration control residual stress fixture was designed for the size of complex thin-walled parts, as shown in Fig. 5. The vibration frequency of the ultrasonic vibration equipment is selected as 20kHz, the upper limit of the load power is 50w, and the oscillator diameter is 55mm. Similarly, the residual stress of the specimen subjected to cryogenic treatment and ultrasonic vibration was obtained using the contour method.
The residual stress changes under three different aging methods are shown in Fig. 6. From Fig. 6, it can be seen that after two deep cooling treatment, the residual stress is the highest, ranging from 44.4 MPa to 111.1 MPa. After three rounds of low-temperature treatment, the residual stress decreased, ranging from 15.3MPa to 90.1MPa. After low-temperature treatment and ultrasonic vibration, the residual stress value is the smallest, ranging from 12.1 MPa to 83.2 MPa. Similarly, from the L2 evaluation line, it can be seen that the residual stress range after two deep cooling treatment is -14.9 MPa to 71.5 MPa. The range after three rounds of cryogenic treatment is -5.1 MPa to 70.6 MPa. After cryogenic treatment and ultrasonic vibration, the residual stress was significantly reduced, ranging from − 7.8MPa to 65.9MPa. Therefore, from the calculation results, it can be seen that multiple deep cooling treatments and deep cooling treatment + ultrasonic vibration have a significant effect on reducing residual stress. Compared with two deep cooling treatments, the maximum residual stress after deep cooling treatment and ultrasonic vibration decreased by 25.1%.
3.4 Machining deformation experiment
The deformation of the workpiece is closely related to the aging treatment. In order to comprehensively characterize the deformation of the workpiece, it is divided into four parts: A, B, C, and D, as shown in Figs. 2 and 7. In addition, in order to obtain the deformation of the workpiece more accurately, a three coordinate instrument is used to detect and calculate the deformation. A total of 630 measurement points were selected during the entire measurement process. The code written in Matlab software is used to fit and magnify the deformation results. The overall deformation of the workpiece under different aging treatments is shown in Fig. 7.
The calculation results of the flatness of the workpiece after three types of aging treatment are shown in Fig. 8. From Fig. 8, it can be seen that after two rounds of deep cooling treatment, the deformation of the workpiece is the largest, with flatness values of 37µm, 46µm, 39µm, and 52µm for A, B, C, and D. However, after three rounds of cryogenic treatment and ultrasonic vibration, the deformation of the workpiece was best controlled, and the flatness of A, B, C, and D decreased to 22µm, 23µm, 26µm, and 21µm, respectively. According to the classical theory of ultrasonic vibration, plastic deformation occurs when the sum of initial residual stress and external cyclic load in a material exceeds its yield limit, leading to stress release[24]. After three rounds of deep cooling treatment, the flatness of the workpiece is between the two, and the flatness of the four surfaces is 28µm, 35µm, 32µm, and 29µm, respectively. From the measurement results of deformation, it can be concluded that an increase in the number of cryogenic treatments will lead to a decrease in the deformation of the workpiece. High dislocation density in materials can lead to severe lattice distortion. Lattice distortion stores more strain energy and leads to greater residual stress in the metal[25]. However, multiple deep cooling treatments can reduce the dislocation density and residual stress of the material. These results are consistent with the results discussed in Section 3.1. In addition, in our previous research, we found that inserting a deep cooling treatment during the machining process can effectively reduce the overall deformation of the workpiece[26]. In this study, the same effect was achieved through three deep cooling treatments and ultrasonic vibration, which improved the machining efficiency of the workpiece.
Surface roughness has a significant impact on parts. Workpieces with high surface roughness have uneven surfaces, and stress is concentrated on the protruding parts[27]. Although surface roughness and flatness focus on different objects, both have important impacts on the performance of parts in practical applications. For example, surface roughness can affect the wear resistance, fit stability, fatigue strength, corrosion resistance, and sealing performance of parts. And flatness ensures the flatness of the part at the macro scale, which is equally important for the assembly and performance of the part. Therefore, it is necessary to study the surface roughness of the workpiece. A large number of researchers have conducted research on surface roughness, using various techniques such as micro lubrication, nanofluid micro lubrication, low-temperature cooling to improve the surface quality of workpieces[28]. CMQL is a relatively new cooling and lubrication method that has received extensive research attention in recent years. It mainly provides lubrication and cooling for the processing area, improving the processing effect. However, previous research methods used two nozzles, one for fuel injection and the other for low-temperature liquid injection. However, in the actual machining process, the strong injection pressure of the nozzle will not significantly reduce the cooling effect of the lubricating oil, weakening the effectiveness of CMQL. Especially under reprocessing conditions, the sustained high temperature in the processing area leads to instantaneous evaporation of vegetable oil, thereby weakening the lubrication and cooling effects of the processing area. Therefore, to compensate for this deficiency, this study used a nozzle to spray low-temperature lubricating oil. Before spraying into the cutting area, the lubricating oil was cooled down through corresponding equipment, effectively suppressing the temperature rise of the lubricating oil. The workpiece used in the experiment adopted the optimal cryogenic treatment parameters. At the same time, the experiment compared the surface roughness under three different cutting environments: dry cutting, MQL, and CMQL. The experimental equipment is shown in Fig. 9. The experimental results are shown in Fig. 10.
From the figure, it can be observed that the surface roughness of the workpiece is the highest under pouring, with surface roughness values of 0.440µm, 0.481µm, 0.554µm, and 0.669µm for A, B, C, and D. However, after MQL, the surface roughness was reduced. A. The surface roughness of B, C, and D are 0.296µm, 0.384µm, 0.307µm, and 0.599µm, respectively. MQL technology is an effective alternative to traditional lubrication methods. The oil droplets sprayed by MQL are carried to the cutting area through compressed air. Oil droplets provide sufficient lubrication at the interface between the tool and the workpiece, thereby reducing friction and heat generation in the cutting area[29]. In addition, they will evaporate in a short period of time without leaving any residue on the workpiece or tool. However, the surface roughness of the workpiece under CMQL is the smallest, with four different surface roughness values of 0.120µm, 0.359µm, 0.254µm, and 0.439µm, respectively. Although MQL seems to provide sufficient lubrication, its cooling effect in the processing area is insufficient under reprocessing conditions. The high temperature generated during material removal cannot be controlled, which greatly reduces processing efficiency[30]. However, CMQL not only reduces the temperature of the processing area, but also plays a lubricating role. CMQL technology greatly improves the surface quality of workpieces through cooling and lubrication effects.