Experimental Investigation on Process Parameters during Laser-Assisted Turning of SiC Ceramics Based on Orthogonal Method and Response Surface Methodology

In this study, laser-assisted machining experiments are carried out on silicon carbide (SiC) ceramic materials by a turning process, and laser power, cutting depth, rotational speed, and feed speed are selected as research factors. In order to improve the surface processing quality of laser-assisted turning of SiC ceramics and obtain the smallest surface roughness, the orthogonal method and response surface method are used to investigate the effect of various factors on surface roughness. The effect of various factors on surface roughness is evaluated by variance analysis, mean analysis, main effect diagram, 3D response surface, and corresponding contour diagram. The surface roughness prediction model is established based on the response surface method, and the prediction error is 4.1% with high accuracy. The experimental results show that laser power and cutting depth are the most significant factors affecting surface roughness, and rotational speed is a significant factor affecting surface roughness. Under the optimum process conditions, the smallest surface roughness Ra obtained by the response surface method is 0.294 μm, which is lower than 0.315 μm obtained by the orthogonal method, and the surface quality is higher. Therefore, the optimal process parameters of the response surface method can obtain the smallest surface roughness and higher surface quality in laser-assisted turning of SiC ceramics.


Introduction
Silicon carbide (SiC), as one of the engineering ceramics, and because of its high wear resistance, high corrosion resistance, and high temperature strength, is used for various wear-resistant, corrosion-resistant, and high-temperature resistant mechanical parts. However, due to the high hardness and brittleness of SiC ceramics, serious defects easily occur in the processing, resulting in poor surface quality, which affects the serviceability of the parts [1,2]. In the absence of any auxiliary technology, it is difficult to obtain high-quality surfaces of SiC ceramics, which is also one of the important reasons for the large-scale application of SiC ceramics.
With the rapid development of modern manufacturing and processing technology, the emergence of laser-assisted machining technology has overcome the processing problems of difficult-to-machine materials and has received extensive attention from the outside world. Laser-assisted machining technology combines traditional cutting and laser heating, where the laser is used to heat the material in the cutting area directly in front of the tool to reduce the strength of the material in this area and to form a softening layer, and the material is then removed by conventional cutting [3,4]. Compared with the traditional processing methods of turning, grinding, and milling, the processing efficiency when other process parameters are not properly selected, the high-power continuous laser can easily cause thermal damage to the workpiece, resulting in poor machining quality. Therefore, in this study, the high-power continuous laser-assisted machining experiments of SiC ceramic materials are carried out by the turning process, and the effect of laser power, cutting depth, rotational speed, and feed speed on surface quality is discussed. With the smallest surface roughness as the objective, the orthogonal method and RSM are used to optimize the objective, respectively, and the optimal combination of process parameters and the optimal surface quality are obtained by comparing the experimental results. The orthogonal method will select representative points from the comprehensive experiment according to the orthogonality, which can effectively find out the optimal process parameters of each factor. RSM realizes accurate prediction of surface roughness by establishing a response surface regression model, and the interaction between process parameters and surface roughness is analyzed, and the optimal combination of process parameters is obtained. This study has important guiding significance for laser-assisted turning of SiC ceramics. Figure 1 shows the laser-assisted turning equipment, which mainly includes a CNC lathe and laser-assisted heat source system. A CNC lathe (CKD6136i, Dalian Machine Tool Group, Dalian, China) with a FANUC control system, the maximum workpiece turning diameter of 360 mm, and the maximum clamping length of 1000 mm was used; the laser-assisted heat source system includes a fiber laser and laser emitter. The fiber laser (YLR-150/1500-QCW-MM-AC-Y14, IPG Photonics Corporation, Oxford, MS, USA) has two modes of pulse and continuous, and the maximum average power of the continuous laser was 250 W, and the typical wavelength was 1070 nm. The surface roughness of the machined area was measured several times using a 3D digital microscope (DSX1000, OLYMPUS, Tokyo, Japan), and the final surface roughness results were averaged from the multiple measurements. The experimental material was a SiC ceramic bar with a specification of Φ11 × 150 mm, and the laser absorption rate of the material at a typical laser wavelength was about 0.75 [21], and its main mechanical and thermal properties are shown in Table 1. force and surface roughness in the process of machining. However, there is little research on ceramic material turning under the condition of a high-power continuous laser, because when other process parameters are not properly selected, the high-power continuous laser can easily cause thermal damage to the workpiece, resulting in poor machining quality. Therefore, in this study, the high-power continuous laser-assisted machining experiments of SiC ceramic materials are carried out by the turning process, and the effect of laser power, cutting depth, rotational speed, and feed speed on surface quality is discussed. With the smallest surface roughness as the objective, the orthogonal method and RSM are used to optimize the objective, respectively, and the optimal combination of process parameters and the optimal surface quality are obtained by comparing the experimental results. The orthogonal method will select representative points from the comprehensive experiment according to the orthogonality, which can effectively find out the optimal process parameters of each factor. RSM realizes accurate prediction of surface roughness by establishing a response surface regression model, and the interaction between process parameters and surface roughness is analyzed, and the optimal combination of process parameters is obtained. This study has important guiding significance for laser-assisted turning of SiC ceramics. Figure 1 shows the laser-assisted turning equipment, which mainly includes a CNC lathe and laser-assisted heat source system. A CNC lathe (CKD6136i, Dalian Machine Tool Group, Dalian, China) with a FANUC control system, the maximum workpiece turning diameter of 360 mm, and the maximum clamping length of 1000 mm was used; the laserassisted heat source system includes a fiber laser and laser emitter. The fiber laser (YLR-150/1500-QCW-MM-AC-Y14, IPG Photonics Corporation, Oxford, MS, USA) has two modes of pulse and continuous, and the maximum average power of the continuous laser was 250 W, and the typical wavelength was 1070 nm. The surface roughness of the machined area was measured several times using a 3D digital microscope (DSX1000, OLYM-PUS, Tokyo, Japan), and the final surface roughness results were averaged from the multiple measurements. The experimental material was a SiC ceramic bar with a specification of Φ11 × 150 mm, and the laser absorption rate of the material at a typical laser wavelength was about 0.75 [21], and its main mechanical and thermal properties are shown in Table  1.    Figure 2 shows the principle of laser-assisted turning. Laser-assisted turning technology combines conventional turning with laser heating. During processing, the continuous laser is irradiated on the surface of the workpiece, the laser is heated before, and the tool is cut after. Before the material is removed, the high energy of the laser makes the temperature of the area to be processed rapidly rise, the material strength decreases, and the plasticity increases. Finally, the material is removed by the tool [22,23]. Compared with conventional turning, laser-assisted turning can effectively reduce the cutting force, reduce the friction between the tool and the machined surface, reduce the surface roughness, and effectively improve the surface machining quality [24,25].   Figure 2 shows the principle of laser-assisted turning. Laser-assisted turning technology combines conventional turning with laser heating. During processing, the continuous laser is irradiated on the surface of the workpiece, the laser is heated before, and the tool is cut after. Before the material is removed, the high energy of the laser makes the temperature of the area to be processed rapidly rise, the material strength decreases, and the plasticity increases. Finally, the material is removed by the tool [22,23]. Compared with conventional turning, laser-assisted turning can effectively reduce the cutting force, reduce the friction between the tool and the machined surface, reduce the surface roughness, and effectively improve the surface machining quality [24,25].

Orthogonal Experiment
In the experiment of laser-assisted turning of SiC ceramics, the surface processing quality is usually affected by many factors. Since the laser power, cutting depth, rotational speed, and feed speed are the main process parameters, the above process parameters were selected as the orthogonal experimental factors.
The orthogonal experimental factor levels were determined by the results of a series of previous single-factor experiments, and the specific experimental levels: laser power 210~240 W, cutting depth 0.10~0.20 mm, rotational speed 1500~1740 r/min, feed speed 2~4 mm/min. The L9 (3 4 ) orthogonal experimental scheme with 4 factors and 3 levels was designed with the surface roughness Ra value as the evaluation index, and the specific experimental scheme is shown in Table 2.

Orthogonal Experiment
In the experiment of laser-assisted turning of SiC ceramics, the surface processing quality is usually affected by many factors. Since the laser power, cutting depth, rotational speed, and feed speed are the main process parameters, the above process parameters were selected as the orthogonal experimental factors.
The orthogonal experimental factor levels were determined by the results of a series of previous single-factor experiments, and the specific experimental levels: laser power 210~240 W, cutting depth 0.10~0.20 mm, rotational speed 1500~1740 r/min, feed speed 2~4 mm/min. The L9 (3 4 ) orthogonal experimental scheme with 4 factors and 3 levels was designed with the surface roughness Ra value as the evaluation index, and the specific experimental scheme is shown in Table 2.

Response Surface Experiment
RSM is a statistical analysis method based on mathematical and experimental data, which is used to solve the optimization problem of multiple variables [26]. By constructing the response surface model between each experimental factor and the response value, the functional relationship between the response target and the design variables is established to achieve the optimal solution for the response value.
As an experimental method based on response surface theory, the Box-Behnken design (BBD) experiment is widely used in various experiments [27]. On the basis of single factor experiment analysis, laser power, cutting depth, rotational speed, and feed speed were selected as optimization parameters, and were set as independent variables A, B, C, and D in turn, and each independent variable was selected at −1, 0, and + 1 levels. Taking the surface roughness Ra value of the machined SiC workpiece as the corresponding response index, a four-factor and three-level BBD experimental scheme was designed, as shown in Table 3.  Table 4 shows the results of the orthogonal experiment, indicating that the surface roughness Ra value of the processed SiC is in the range of 0.321~0.765 µm. In order to investigate the degree of effect of laser power, cutting depth, rotational speed, and feed speed on the surface roughness and to obtain the optimal combination of process parameters, range analysis and variance analysis were carried out for the experimental results in Table 4 [28,29]. Based on the experimental results of surface roughness in Table 4, variance analysis was used to investigate the influence of various factors on surface roughness. Since there is no blank column in the designed orthogonal table, the least square sum of the four factors was used as the source of the error square sum, and the feed speed was selected as the error source [30]. Table 5 shows the variance analysis results of surface roughness, in which the F-value of cutting depth is 298.85, which indicates that the variation of the cutting depth has an extremely significant effect on the surface roughness within the determined parameters. The F-value of laser power is 84.30, which indicates that the variation of the laser power has a significant effect on the surface roughness within the determined parameters. The F-value of the rotational speed is 16.68, which indicates that the variation of the rotational speed has a slightly significant effect on the surface roughness within the determined parameters. The variation of feed speed has a low effect on surface roughness. The main reason for the extremely significant effect of cutting depth on surface roughness is that SiC ceramics have the characteristics of high hardness and high brittleness, the laser is the only heat source for softening SiC materials, and its power determines the depth of the softening layer of the material. When the cutting depth is greater than the softening layer depth, the surface roughness will rise sharply.  Table 6 shows the results of surface roughness range analysis, and the results show that the range R value of laser power, cutting depth, rotational speed, and feed speed are 0.1647, 0.3033, 0.0733, and 0.0177, respectively. By comparing the corresponding R value of each factor, it was found that the corresponding R value of cutting depth was the largest, indicating that the effect of cutting depth on surface roughness is extremely obvious. The corresponding R value of feed speed was the smallest, indicating that the effect of feed speed on surface roughness is not obvious. The effect of four factors on surface roughness is ranked as follows: cutting depth (a p ) > laser power (P) > rotational speed (n) > feed speed (f). Figure 3 shows the plot of the mean effect of each factor level with surface roughness obtained based on the results of the range analysis, and the variation trend of surface roughness can be directly reflected in the level range of each factor. The optimization level combination was determined by analyzing the variation trend of surface roughness in Figure 3. The specific optimization parameters were: laser power 240 W, cutting depth 0.1 mm, rotational speed 1500 r/min, feed speed 3 mm/min. Using this optimized combination of parameters for cutting SiC ceramics, the surface roughness Ra value of 0.315 µm was obtained, which is lower than that of 0.321 µm in experiment No. 8 of the orthogonal scheme.  1  1  1  1  1  2  1  2  2  2  3  1  3  3  3  4  2  2  1  3  5  2  3  2  1  6  2  1  3  2  7  3  3  1  2  8  3  1  2  3  9  3  2  3  1 Figure 3 shows the plot of the mean effect of each factor level with surface roughness obtained based on the results of the range analysis, and the variation trend of surface roughness can be directly reflected in the level range of each factor. The optimization level combination was determined by analyzing the variation trend of surface roughness in Figure 3. The specific optimization parameters were: laser power 240 W, cutting depth 0.1 mm, rotational speed 1500 r/min, feed speed 3 mm/min. Using this optimized combination of parameters for cutting SiC ceramics, the surface roughness Ra value of 0.315 μm was obtained, which is lower than that of 0.321 μm in experiment No. 8 of the orthogonal scheme.

Response Surface Regression Model
The surface roughness Ra of the processed SiC workpiece was used as the response index, and the results of the BBD experiment are shown in Table 7. Based on the experimental results, the regression model equations of laser power, cutting depth, rotational speed, and feed speed with respect to surface roughness are established by Design Expert (Equation (1)).

Surface Roughness
Ra/(µm)   Table 8 shows the results of variance analysis of surface roughness, and the results show that the F-value of the model is 49.85 and the p-value is inferior to 0.0001, which indicates that the regression model established between each variable and surface rough-  Table 8 shows the results of variance analysis of surface roughness, and the results show that the F-value of the model is 49.85 and the p-value is inferior to 0.0001, which indicates that the regression model established between each variable and surface roughness is highly significant. The F-value of the lack of fit item is 12.71, the p-value is higher than 0.05, the lack of fit item is not significant, and the model coefficient of determination R 2 = 0.9831, which indicates that the regression model fits well in the whole regression area, with high reliability and accuracy, and small error. Among the four factors affecting the surface roughness, the p-value of laser power (A) and cutting depth (B) is inferior to 0.0001, which indicates that laser power (A) and cutting depth (B) have highly significant effects on the surface roughness. The p-value of rotational speed (C) is inferior to 0.05, which indicates that the rotational speed (C) has a significant effect on the surface roughness. The p-value of feed speed (D) is higher than 0.05, which indicates that the effect of feed speed (D) on surface roughness is not significant. By comparing the mean square values of the respective variables, it can be seen that the effect on the surface roughness is in the order of: B > A > C > D. Among the secondary terms, the highly significant effect is B 2 . Among the interaction terms, the interaction effect of AB, BC, and AD is significant.  Figure 5 describes the interaction effect of various process parameters on surface roughness and generates 3D surfaces and corresponding contour diagrams based on the regression model. The 3D curve profile makes it easier to understand the interaction between different combinations of factors; the change in curvature of the contour can determine whether the interaction between two independent factors is significant. tional speed are fixed at the intermediate level, the surface roughness increases with the increase of cutting depth. In addition, with the increase of feed speed, the surface roughness decreases first and then increases. The reason is that when the feed speed is too fast, the heat source moves fast, the heating time of the turning area is short, and the material softening is insufficient. When the feed speed is too slow, the turning area is continuously irradiated by the laser, and the probability of thermal damage on the workpiece surface is large. By analyzing the contour distribution in Figure 5d, the smallest surface roughness can be obtained when cutting depth is 0.1~0.15 mm and feed speed is 2.5~3.5 mm/min.

Process Parameter Optimization
In order to obtain the optimal process parameters of laser-assisted turning of SiC ceramics, the smallest surface roughness is obtained by response surface optimization methodology. The results show that the optimal combination of process parameters are laser  Figure 5a shows the 3D surface figure and the corresponding contour diagram of the interaction between laser power (A) and cutting depth (B) on surface roughness. The variation trend of surface roughness in the figure shows that when the rotational speed and feed speed are fixed at the intermediate level, the surface roughness tends to increase with the increase of cutting depth. In addition, the surface roughness shows a decreasing trend with the increase of laser power. Therefore, the way to obtain the smallest surface roughness is to use higher laser power and smaller cutting depth. The reason is that the laser is the only heat source, and its power determines the softening degree of the material in the turning area. When the laser power increases, the softening layer in the cutting area increases, which leads to the increase of the cutting depth, and so the surface roughness shows a decreasing trend. A better cutting depth of 0.1~0.15 mm is obtained by analyzing the contour distribution in Figure 5a, and the selection of laser power depends on the cutting depth; the laser power is 210~220 W for the smaller cutting depth, and 220~240 W for the larger cutting depth. Figure 5b shows the 3D surface figure and the corresponding contour diagram of the interaction between cutting depth (B) and rotational speed (C) on surface roughness. The variation trend of surface roughness in the figure shows that when the laser power and feed speed are fixed at the intermediate level, the surface roughness increases with the increase of cutting depth and rotational speed. Therefore, the way to obtain the smallest surface roughness is to adopt a smaller cutting depth and rotational speed. The reason is that when the laser power and feed speed are fixed at the intermediate level, the rotational speed determines the relative motion speed of the heat source and the workpiece, and the increase of rotational speed will shorten the laser irradiation time of the turning area, and the material softening is insufficient, which leads to the decrease of the cutting depth. If the cutting depth increases, the surface roughness increases sharply. By analyzing the contour distribution in Figure 5b, the smallest surface roughness can be obtained when the cutting depth is 0.1~0.15 mm and the rotational speed is 1500~1620 r/min. Figure 5c shows the 3D surface figure and the corresponding contour diagram of the interaction between laser power (A) and feed speed (D) on surface roughness. Under the condition that the cutting depth and the rotational speed are fixed at an intermediate level, when the laser power is at the lowest or highest level, the variation of feed speed almost does not cause the variation of surface roughness, indicating that the effect of feed speed on surface roughness is not significant. When the feed speed is at the lowest or highest level, the increase of laser power always leads to the increase of surface roughness. Therefore, the feed speed cannot be used as the basis for the selection of laser power. Figure 5d shows the 3D surface figure and the corresponding contour diagram of the interaction between cutting depth (B) and feed speed (D) on surface roughness. The variation trend of surface roughness in the figure shows that when the laser power and rotational speed are fixed at the intermediate level, the surface roughness increases with the increase of cutting depth. In addition, with the increase of feed speed, the surface roughness decreases first and then increases. The reason is that when the feed speed is too fast, the heat source moves fast, the heating time of the turning area is short, and the material softening is insufficient. When the feed speed is too slow, the turning area is continuously irradiated by the laser, and the probability of thermal damage on the workpiece surface is large. By analyzing the contour distribution in Figure 5d, the smallest surface roughness can be obtained when cutting depth is 0.1~0.15 mm and feed speed is 2.5~3.5 mm/min.

Process Parameter Optimization
In order to obtain the optimal process parameters of laser-assisted turning of SiC ceramics, the smallest surface roughness is obtained by response surface optimization methodology. The results show that the optimal combination of process parameters are laser power 240 W, cutting depth 0.11 mm, rotational speed 1659 r/min, and feed speed 3.5 mm/min. At this point, the predicted average surface roughness Ra value is 0.282 µm.

Regression Model Validation
In order to verify the accuracy of the established regression model, the obtained optimal combination of process parameters was used for three verification experiments. The final results of surface roughness take the average of experimental results. The comparison results between the predicted values of the regression model and the experimental values are shown in Table 9. The results show that the error between the experimental surface roughness value and the predicted value of the regression model is 4.1%, and Equation (1) can successfully predict surface roughness.  Figure 6 shows the surface profile of the SiC workpiece obtained by turning under different process conditions. Figure 6a is the surface morphology of the SiC workpiece obtained by traditional turning with the process parameters of cutting depth 0.11 mm, rotational speed 1659 r/min, and feed speed 3.5 mm/min, and it can be observed that the surface damage traces are obvious, serious cracks are distributed, and the surface quality is poor, and the surface roughness is above 1 µm. Figure 6b shows the surface profile of the workpiece obtained by turning under laser-assisted conditions with the combination of orthogonal optimized process parameters of laser power 240 W, cutting depth 0.1 mm, rotational speed 1500 r/min, and feed speed 3 mm/min. Compared with Figure 6a, there is no obvious damage trace on the surface, and serious cracks disappear, but there are pits and bumps on the surface, the surface flatness is general, and the surface roughness is generally around 0.32 µm. Figure 6c shows the surface profile of the workpiece under laser-assisted conditions with the combination of response surface optimized process parameters of laser power 240 W, cutting depth 0.11 mm, rotational speed 1659 r/min, and feed speed 3.5 mm/min. Compared with Figure 6a and 6b, the surface damage traces disappear, the cracks disappear, the pits and bumps basically disappear, the surface flatness is high, the surface roughness is reduced to about 0.29 µm, and the surface quality is significantly improved.   Figure 6 shows the surface profile of the SiC workpiece obtained by turning under different process conditions. Figure 6a is the surface morphology of the SiC workpiece obtained by traditional turning with the process parameters of cutting depth 0.11 mm, rotational speed 1659 r/min, and feed speed 3.5 mm/min, and it can be observed that the surface damage traces are obvious, serious cracks are distributed, and the surface quality is poor, and the surface roughness is above 1 μm. Figure 6b shows the surface profile of the workpiece obtained by turning under laser-assisted conditions with the combination of orthogonal optimized process parameters of laser power 240 W, cutting depth 0.1 mm, rotational speed 1500 r/min, and feed speed 3 mm/min. Compared with Figure 6a, there is no obvious damage trace on the surface, and serious cracks disappear, but there are pits and bumps on the surface, the surface flatness is general, and the surface roughness is generally around 0.32 μm. Figure 6c shows the surface profile of the workpiece under laser-assisted conditions with the combination of response surface optimized process parameters of laser power 240 W, cutting depth 0.11 mm, rotational speed 1659 r/min, and feed speed 3.5 mm/min. Compared with Figure 6a and 6b, the surface damage traces disappear, the cracks disappear, the pits and bumps basically disappear, the surface flatness is high, the surface roughness is reduced to about 0.29 μm, and the surface quality is significantly improved. Figure 7 shows the surface roughness measured by a DSX1000 3D digital microscope for the surface morphology of the SiC workpiece in Figure 6. By comparing the measurement results in Figure 7, the conclusions are as follows: The surface roughness obtained by a traditional turning process without any auxiliary conditions is much larger than that by a laser-assisted turning process. The appropriate combination of process parameters in the laser-assisted turning process can obtain the smallest surface roughness and significantly improve the surface processing quality.   Figure 7 shows the surface roughness measured by a DSX1000 3D digital microscope for the surface morphology of the SiC workpiece in Figure 6. By comparing the measurement results in Figure 7, the conclusions are as follows: The surface roughness obtained by a traditional turning process without any auxiliary conditions is much larger than that by a laser-assisted turning process. The appropriate combination of process parameters in the laser-assisted turning process can obtain the smallest surface roughness and significantly improve the surface processing quality.

Conclusions
In this study, the effect of process parameters on the surface quality of laser-assisted turning of SiC ceramics was studied by the orthogonal method and RSM, and a prediction model of laser-assisted process parameters on surface roughness was established. The specific conclusions are summarized as follows: (1) According to the variance, range, and mean analysis, laser power and cutting depth are the dominant factors affecting surface roughness. The optimum parameters of the smallest surface roughness determined by the orthogonal method are laser power P 240 W, cutting depth ap 0.1 mm, rotational speed n 1500 r/min, and feed speed f 3 mm/min. The actual surface roughness Ra value is 0.315 μm under this parameter combination. (2) The regression model of surface roughness is established based on the RSM, and the results of variance analysis show that the model can explain 96% of the response value, with high reliability and accuracy, and statistical significance. The 3D surface and corresponding contour maps show that the interactions between laser power and cutting depth, laser power and feed speed, and cutting depth and rotational speed have a significant effect on surface roughness. (3) Based on the RSM, the optimal process parameters are obtained as follows: laser power P 240 W, cutting depth ap 0.11 mm, rotational speed n 1659 r/min, and feed speed f 3.5 mm/min. At this time, the predicted Ra value is 0.282 μm and the actual Ra value is 0.294 μm, with a maximum error of 4.1%, and the established regression model has high precision and can accurately predict the machining results of laserassisted turning of SiC ceramics. The optimization results of the orthogonal method and RSM show that the optimized process parameters obtained by the RSM are used for the laser-assisted turning experiment, and the measured surface roughness Ra value is 0.294 μm, which is 6.67% lower than that of the orthogonal method. So the RSM can obtain the smallest surface roughness, and more feasibly.

Conclusions
In this study, the effect of process parameters on the surface quality of laser-assisted turning of SiC ceramics was studied by the orthogonal method and RSM, and a prediction model of laser-assisted process parameters on surface roughness was established. The specific conclusions are summarized as follows: (1) According to the variance, range, and mean analysis, laser power and cutting depth are the dominant factors affecting surface roughness. The optimum parameters of the smallest surface roughness determined by the orthogonal method are laser power P 240 W, cutting depth a p 0.1 mm, rotational speed n 1500 r/min, and feed speed f 3 mm/min. The actual surface roughness Ra value is 0.315 µm under this parameter combination. (2) The regression model of surface roughness is established based on the RSM, and the results of variance analysis show that the model can explain 96% of the response value, with high reliability and accuracy, and statistical significance. The 3D surface and corresponding contour maps show that the interactions between laser power and cutting depth, laser power and feed speed, and cutting depth and rotational speed have a significant effect on surface roughness. (3) Based on the RSM, the optimal process parameters are obtained as follows: laser power P 240 W, cutting depth a p 0.11 mm, rotational speed n 1659 r/min, and feed speed f 3.5 mm/min. At this time, the predicted Ra value is 0.282 µm and the actual Ra value is 0.294 µm, with a maximum error of 4.1%, and the established regression model has high precision and can accurately predict the machining results of laserassisted turning of SiC ceramics. The optimization results of the orthogonal method and RSM show that the optimized process parameters obtained by the RSM are used for the laser-assisted turning experiment, and the measured surface roughness Ra value is 0.294 µm, which is 6.67% lower than that of the orthogonal method. So the RSM can obtain the smallest surface roughness, and more feasibly. (4) The surface morphology analysis shows that compared with the traditional turning process, the machining effect of the laser-assisted turning process is better. Compared with orthogonal optimization, the surface roughness obtained by optimizing the process