To compare the processing effects at room and cryogenic temperatures, fixed processing parameters were selected for the PDMS machining, namely an erosion pressure of 0.4 MPa, an erosion angle of 90°, an erosion distance of 1.5 mm, and a scanning speed of 0.25 mm/s. After processing, the surface morphology and roughness were measured using an SEM (Quanta FEG 250; FEI, USA) and a three-dimensional optical profiler, respectively; the surface roughness was measured in an area of 300 μm × 230 μm.
The eroded surface morphology, microchannel profile and bottom surface roughness of PDMS at different temperatures are shown in Figure 3 and 4, respectively. At room temperature, the elastomer PDMS material suffers from serious abrasive embedding during MAJM. Also, because of the obvious “impact thermal effect”[30] of the plastic material during MAJM, the PDMS is covered with a processing deterioration layer on the eroded surface [Figure 3(a)], which seriously affects the subsequent experimental performance. After one machining pass at room temperature, the average erosion depth of the PDMS microchannel was 99.24 μm [Figure 3(a)], the Sa value of the bottom surface roughness was 3.439 μm (Figure 4), and the ratio of erosion depth to processing time was 11.2 μm/s; after one machining pass at cryogenic temperature, the corresponding values were 137.19 μm [Figure 3(b)], 2.33 μm (Figure 4), and 14 μm/s. The results show that the cryogenic cooling improved the PDMS MRR and surface quality significantly.
With cryogenic assistance, the PDMS eroded surface quality is greatly improved [Figure 3(b)], which is because the PDMS during CMAJM is at a temperature that is much lower than its glass transition temperature (Tg = 150 K). Therefore, the PDMS undergoes a glass transition and becomes brittle; the elastic modulus of the PDMS increases sharply[31], which in turn changes its erosion response behavior. For a ductile material, the material removal mechanism depends mainly on micro-cutting at small angles. For a brittle material, the material removal mechanism depends mainly on brittle fracture at large angles. Therefore, using CMAJM causes PDMS to transition from ductile to brittle erosion removal behavior, thereby realizing high-efficiency and low-damage micromachining of PDMS.
Furthermore, to analyze experimentally the CMAJM processing characteristics of PDMS, the experimental parameters in Table 1 were used in single-factor experiments to evaluate how the processing parameters affect the microchannel profile characteristics (i.e., microchannel depth and sidewall angle) of the PDMS substrate. Fig.5 shows how the erosion distance influenced the microchannel depth and sidewall angle. The experimental conditions were an erosion angle of 90°, an erosion pressure of 0.4 MPa, a scanning speed of 0.25 mm/s, and one machining pass. With increasing erosion distance, the microchannel depth increased initially and then decreased, while the sidewall angle decreased initially and then increased. The largest microchannel depth was that for an erosion distance of 3.5 μm, and the smallest sidewall angle was that for an erosion distance of 2.5 μm. Therefore, the best microchannel processing was achieved with an erosion distance of 2.5–3.5 μm.
Upon ejection from the nozzle, the abrasive particles accelerate initially and then decelerate as the spraying distance increases[32]. The abrasive particles moved fastest when the erosion distance was 3.5 μm; that is, they had the highest impact kinetic energy, and thus the processing efficiency was the highest. Therefore, the erosion depth of the PDMS substrate was relatively large at this time. Also, the greater the erosion distance, the greater the divergence of the abrasive jet; with small erosion distance, the abrasive particles gather in a smaller processing area. Meanwhile, the cryogenic cooling causes the response of the PDMS to the abrasive particles to transition from ductile to brittle removal; that is, the MRR is larger at large angles. Therefore, the MRR in the bottom region of the microchannel is large, while that in the sidewall region is small, thereby leading to different sidewall angles under different processing parameters. First, with increasing erosion distance, the speed of the abrasive particles increases and they collide frequently in the microchannel, which increases the MRR of the microchannel sidewalls, thereby reducing the sidewalls angle. Second, with further increase of the erosion distance, the degree of jet divergence increases, which causes the central area of the microchannel to be removed by erosion at large angles, while the sidewall area of the microchannel is removed by erosion at small angles, thereby increasing the sidewall angle of the microchannel.
Fig.6 shows how the erosion pressure influenced the microchannel depth and sidewall angle. The experimental conditions were the same as before, namely an erosion distance of 3.5 mm, an erosion angle of 90°, a scanning speed of 0.25 mm/s, and one machining pass. With increasing erosion pressure, the microchannel depth increased gradually, and the experimental phenomenon can be explained by the impact velocity of abrasive particles increase with increasing erosion pressure, which in turn leads to higher MRR. However, with increasing erosion pressure, the sidewall angle also changes to varying degrees; that is, the sidewall angle is largest at an erosion pressure of 0.5 MPa and is reduced accordingly when the erosion pressure reaches 0.6 MPa. The main reason for this may be that with increasing impact kinetic energy of the abrasive particles, their complex collision and erosion behavior during the machining leads to an irregular change in the sidewall angle of the microchannel. This is a compromise issue when selecting processing parameters when considering the microchannel erosion depth and sidewall angle. Fortunately, when the erosion pressure is higher than 0.4 MPa, the PDMS erosion depth increases less, while the microchannel sidewall angle is small at 0.4 MPa. Therefore, the best microchannel processing is achieved with an erosion pressure of 0.4 MPa.
Fig.7 shows how the erosion angle influenced the microchannel depth and sidewall angle. The experimental conditions were the same as before, namely an erosion distance of 3.5 mm, an erosion pressure of 0.4 MPa, a scanning speed of 0.25 mm/s, and one machining pass. With increasing erosion angle, the microchannel depth and sidewall angle tended to increase initially and then decrease. The microchannel depth was largest when the erosion angle was 60°, which can be explained simply by the fact that PDMS undergoes a glass transition (i.e., material embrittlement) at cryogenic temperatures. Therefore, the PDMS MRR at large angles is greater than that at small angles. Also, the sidewall angle was smallest when the erosion angle was 75°, the main reason being that the “erosion effect” of the abrasive jet on the surface differs with impact angle; that is, the number of Al2O3 particles involved in the effective erosion process is different, and while the complex erosion behavior caused by the collision and rebound of abrasive particles under different erosion angles. Fortunately, however, the microchannel depth and sidewall angle exhibit the same trend with varying erosion angle. Therefore, the best microchannel processing is achieved with an erosion angle of 60–75°.
Fig.8 shows how the scanning speed influenced the microchannel depth and sidewall angle. The experimental conditions were the same as before, namely an erosion distance of 3.5 mm, an erosion angle of 90°, an erosion pressure of 0.4 MPa, and one machining pass. With increasing scanning speed, the microchannel depth decreased almost linearly, while the sidewall angle tended to increase linearly. The main reason for this was insufficient cooling of the PDMS, namely failure to reach the embrittlement state as the scanning speed was increased, which in turn reduced the MRR of the PDMS, that is, the depth of the microchannel decreased. At the same time, increasing the scanning speed reduced the erosion time of the abrasive jet on the PDMS, reduced the microchannel erosion depth, and increased the sidewall angle. Comprehensive comparison showed that the best microchannel processing is achieved with a scanning speed of 0.25 mm/s.
In summary, with an erosion distance of 2.5–3.5 μm, an erosion pressure of 0.4 MPa, an erosion angle of 60–75°, and a scanning speed of 0.25 mm/s, CMAJM produces the best microchannel processing.