Multi-objective Optimization for Enhanced Material Removal Rate and Reduced Machining Roughness in Hard Turning of SKD61 Alloy Steel

Multi-objective Optimization for Enhanced Material Removal Rate and Reduced Machining Roughness in Hard Turning of SKD61 Alloy Steel

Minh Hung Vu The Vinh Do Pham Thi Minh Hue Ngoc Thai Huynh Quoc Manh Nguyen*

Faculty of Fundamental Sciences, PetroVietnam University, Ba Ria Vung Tau 7800, Vietnam

Faculty of Mechanical Engineering, Thai Nguyen University of Technology, Thai Nguyen 250000, Vietnam

Faculty of Mechanical Engineering, Hanoi University of Industry, Hanoi 100000, Vietnam

Faculty of Mechanical Technology, Ho Chi Minh City University of Industry and Trade, Ho Chi Minh City 700000, Vietnam

Faculty of Mechanical Engineering, Hung Yen University of Technology and Education, Hung Yen 160000, Vietnam

Corresponding Author Email: 
nguyenquocmanh@utehy.edu.vn
Page: 
680-688
|
DOI: 
https://doi.org/10.18280/mmep.110312
Received: 
25 July 2023
|
Revised: 
27 September 2023
|
Accepted: 
8 October 2023
|
Available online: 
28 March 2024
| Citation

© 2024 The authors. This article is published by IIETA and is licensed under the CC BY 4.0 license (http://creativecommons.org/licenses/by/4.0/).

OPEN ACCESS

Abstract: 

During metal cutting processes, manufacturers and researchers strive to achieve two primary goals: increasing productivity and enhancing the quality of the cutting process. This study focused on hard alloy steel machining using a high-precision CNC lathe. The experimental design followed the orthogonal array L27 of the Taguchi method, and the optimization of cutting parameters (cutting speed, feed rate, cutting depth) and the SiO2 nanoparticle concentration in the cutting fluid was performed using the response surface methodology. The objective was to achieve the lowest possible surface roughness (Ra). Analysis of variance was used to evaluate the impact of input factors on the output response. A second-degree mathematical regression model with a determined coefficient of 84.64% was developed to predict the surface roughness. A multi-objective optimization strategy was employed to concurrently minimize surface roughness while maximizing the material removal rate (MRR). A cutting mode was implemented with the following parameters: a cutting speed of 80 m/min, a cutting depth of 0.6 mm, a feed rate of 0.1576 mm/rev, and a nanoparticle concentration of 4%. The surface roughness achieved under the optimal conditions was 0.9075 µm. The material removal rate reached 7450.7 mm³/min. This study provides further evidence of the effectiveness of applying minimal lubrication with a nanofluid, as the best surface roughness was obtained when machining with a cutting fluid containing 4% SiO2 nanoparticles.

Keywords: 

surface roughness, hard turning, hardened SKD61 tool steel, SiO2 nanoparticles, minimum quantity lubrication, response surface methodology

1. Introduction

Simultaneously attaining high productivity and good quality in metal cutting is a key concern for manufacturers and an attractive challenge for researchers. The objective of this research is to identify a cutting mode that fulfills both quality and productivity criteria, which are represented by the roughness and MRR, respectively.

Due to its hardness, toughness, and resistance to thermal cracking [1, 2], JIS SKD61 steel is widely used in various industries, particularly in the mould and die industry. However, its mechanical properties make it a challenging material to machine, especially after the heat treatment process used to increase its hardness. In conventional machining, the initial stages involve milling, turning, and drilling operations. Subsequently, a metal heat treatment process is conducted to achieve the required hardness. Finally, grinding operations are carried out to attain the desired level of precision. This process is time-consuming and leads to higher costs. However, with the advancement of material technology, there has also been progress in cutting tool technology. Cutting tools can now machine high-hardness steel workpieces after heat treatment. Cutting processes that are applied after heat treatment are known as hard machining [3, 4].

Hard machining typically generates a significant amount of heat due to the high hardness of the workpiece material. This limitation affects machining with high cutting speeds and significantly impacts the wear and tool life of cutting tools [5-9]. The environmental and health impacts of hard milling on workers have yet to be fully addressed, particularly in the application of flood coolant. However, a practical solution that has shown effectiveness in hard machining is minimum quantity lubrication (MQL). MQL, known for its efficiency and eco-friendliness, has gained widespread adoption across various machining operations. As highlighted by Phafat et al. [10], machining processes using a very small quantity of lubricating and cooling fluid (below 250ml/h) are referred to as MQL machining processes. This lubricant is mixed with compressed air and then sprayed onto the cutting zone. The use of MQL has been shown to enhance surface finish quality, extend tool life, minimize tool wear, lower cutting temperatures, and reduce lubrication costs [2, 11-13]. The efficacy of MQL has been demonstrated in various machining operations, encompassing turning, milling, and drilling.

Incorporating solid nanoparticles with sizes ranging from 10-100 nm into the cutting fluid used in the MQL machining process can significantly enhance machining efficiency [14, 15]. This cooling lubrication technique was pioneered by Choi and Eastman [16]. The nanofluid-based MQL method offers a multitude of advantages over traditional cooling lubrication techniques, notably surpassing conventional MQL methods. The addition of nanoparticles notably improves the lubricating and cooling capabilities of the base cutting fluid. The enhanced cooling effect of nanofluids stems from the optimized heat exchange mechanism enabled by the presence of nanoparticles within the cutting oil. Additionally, nanoparticles enhance the wetting ability of the nanofluid compared to the base cutting fluid [17-19]. The heightened lubricating effectiveness of the nanofluid can be ascribed to four mechanisms: the rolling of nanospheres [20-22], a self-repairing effect [23-25], the formation of tribofilms, and a polishing effect [26]. Nanofluid has shown remarkable efficacy in reducing surface roughness, cutting force, and heat, as well as minimizing tool wear and extending tool life in various metal cutting processes, including turning [27-29], milling [30-34], and grinding [35, 36].

Implementing the nanofluid-based MQL approach is relatively inexpensive. With a small investment, manufacturers can upgrade a standard machine to benefit from advanced lubrication. The conversion process involves installing an MQL nozzle onto a conventional machine to enable MQL nanofluid cooling. This low-cost solution offers efficient lubrication and cooling capabilities [19].

In a single-objective optimization problem, the main objective is to discover the optimal solution for a particular criterion, without taking into account other criteria. Manufacturers, however, aim to achieve multiple criteria simultaneously, even though these criteria may be contradictory. Multi-objective optimization aims to find a ‘win-win’ solution that addresses conflicting criteria. Numerous researchers employ the response surface methodology, which endeavors to optimize output responses affected by input variables, also referred to as independent variables. [13, 19, 31, 37-39].

In a study conducted by Sahoo et al. [27], a multi-objective optimization was conducted to assess the influence of cutting parameters in turning AISI 1040 steel. An optimal cutting mode has been identified to simultaneously achieve two objectives: minimizing surface roughness and maximizing MRR. In a study on optimizing the MRR and Ra in the turning process of X20Cr13, the Taguchi methodology combined with Grey analysis was employed [40]. The study employed single-objective optimizations for each criterion separately. The author suggests that machining with cutting parameters set at the lowest levels of cutting speed, feed rate, and depth of cut will result in the minimal surface roughness. Conversely, the cutting mode with the highest levels of these parameters yielded the highest MRR. Additionally, a multi-objective optimization method was utilized to simultaneously minimize roughness and maximize material removal rate. Consequently, an optimal cutting mode comprising the maximum cut depth, cutting speed, and minimum feed rate was identified.

In a study led by Do and Phan [31], four cutting parameters, including cutting speed, depth of cut, feed rate, and material hardness, were investigated. The study aimed to devise an optimal cutting mode that would effectively minimize roughness while maximizing MRR. In another investigation led by Dinesh et al. [41], three fundamental cutting parameters (cutting speed, depth of cut, and feed rate) along with tool nose radius were included in the evaluation using the response surface methodology. Their aim was to achieve the dual objectives of minimizing surface roughness while maximizing MRR. Additionally, they developed mathematical regression models to describe the intricate relationship between the cutting condition and the resultant output responses of roughness and MRR. When milling AL8112 aluminum alloy using minimum quantity lubrication supplemented with nanofluid, Okokpujie et al. [42] discovered optimal machining conditions that addressed three primary criteria: surface roughness, MRR, and cutting force.

It can be observed that many researchers share the common goal of simultaneously minimizing roughness and maximizing MRR. However, each study is only a ‘case study’ with specific parameters and conditions. Further research on multi-objective optimization to attain the mentioned goals is still needed. Moreover, the addition of new input parameters represents an important research direction.

The aim of this research is to incorporate a new input parameter, nanoparticle concentration, to bolster the scientific understanding of the impact of nanofluids on cutting processes, and to provide a reference for future studies. This study delves into the impact of nanoparticle concentration and three parameters of cutting condition (cutting velocity, feed rate, and cutting depth) on the turning process of hardened SKD61 alloy steel. Employing the response surface methodology, both mono-objective and multi-objective optimization strategies are explored. The research is centered on enhancing two pivotal aspects: quality and productivity, with a specific focus on surface roughness and MRR as the key output responses. To establish the intricate relationship between the input variables and output responses, a comprehensive mathematical regression model is constructed. Additionally, the robustness of the model is evaluated through analysis of variance (ANOVA).

2. Experimental Setup

All experiments were conducted using an EMCO Maxxturn 45 CNC lathe machine, as depicted in Figure 1. The cutting tool was equipped with a polycrystalline cubic boron nitride (CBN) insert, specifically tailored for precision finishing tasks on materials, such as hardened steels within the hardness range of 45-65 HRC and nodular cast iron. The insert shape is a rhombus with a vertex angle of 35°. The size is 16 mm, and the tool nose radius is 0.4 mm. The insert is shown in Figure 2. The workpieces utilized were cylindrical SKD61 alloy steel blocks with an initial diameter of 35 mm, which underwent heat treatment to achieve a hardness of 55 HRC. Table 1 displays the chemical composition of the workpieces. These workpieces were securely clamped onto a three-jaw chuck. The MQL system was utilized, positioning the nozzle 20 mm from the cutting zone. A steady MQL supply pressure of 3 kg/cm² was maintained, with a fluid flow rate of 50 ml/h directed into the cutting zone.

Figure 1. Setting up experiments on an EMCO Maxxturn 45 CNC lathe

Table 1. Chemical composition of the workpieces (w %)

C

Si

Mn

Cr

Mo

V

Ni

0.32

-

0.42

0.80

-

1.20

0.20

-

0.50

4.75

-

5.50

1.10

-

1.75

0.80

-

1.20

0.00

-

0.30

Figure 2. The CBN insert

Figure 3. Measuring roughness with the SJ-410

The process of incorporating SiO2 nanoparticles into the CT232 cutting fluid involved stirring for six hours to achieve a uniform dispersion and stable suspension. The stirring process was carried out using a small magnetic stirrer. The maximum speed of the device was 1500 rpm. The stirring process in the study did not utilize the heating function of the device. An appropriate amount of solution for one experiment was poured into the device’s stirring cup (which can hold a maximum of 2l of solution). Then, an appropriate amount of nanoparticles was added to the cup. The device was activated and adjusted to a speed of 1000 rpm. Once the stirring process was complete, the solution was used immediately to avoid the gradual settling of the solid nanoparticles.

Surface roughness measurements were conducted immediately after each experiment using a Mitutoyo SJ-410 roughness measuring instrument. To ensure accuracy, three distinct positions on the machined surface were chosen for each measurement. The Ra measurement process is illustrated in Figure 3.

The cutting parameters considered as input factors were cutting speed v, feed rate f, cutting depth d, and nanoparticle concentration c. Each factor was categorized into three levels: low, high, and middle. These categorizations were determined using machining condition recommendations from the tool manufacturer, as well as references from the author's research and other scholarly sources.

To systematically conduct the experiments using the Taguchi method, we employed the L27 array. With four input parameters, each having three levels, a total of twenty-seven tests were carried out. To minimize potential random errors, each test was performed three times. The Ra results were obtained as average values.

3. Results and Discussion

The Ra and MRR outcomes from the twenty-seven experiments are presented in Table 2. The Ra values range from 0.832 µm (experiment 22) to 1.062 µm (experiment 3). The minimum MRR is 800 mm3/min (experiment 1), while the maximum is 9600 mm3/min (experiment 18).

By employing the response surface methodology (RSM), a second-order mathematical model illustrates the correlation between surface roughness and the input factors, as expressed in the following formula.

$\begin{aligned} R_a=0.910- & 0.0089 c-0.00485 v-0.148 d-1.79 f \\ & -0.00432 c^2-0.000047 v^2+0.122 d^2 \\ & +10.95 f^2+0.000103 c v+0.0160 c d \\ & -0.001 c f+0.00205 v d-0.0066 v f \\ & -0.14 d f\end{aligned}$

Figure 4. Optimal plots for $R_a$

Table 2. Ra and MRR results

No.

Nanoparticle Concentration

c (%)

Cutting Speed

v (m/min)

Cutting Depth

d (mm)

Feed Rate

f (mm/rev)

Surface Roughness

$R_a$ (µm)

MRR

(mm3/min)

Note

1

0

40

0.2

0.1

0.932

800

Min MRR

2

0

40

0.4

0.15

0.962

2400

 

3

0

40

0.6

0.2

1.062

4800

Max $R_a$

4

0

60

0.2

0.15

0.952

1800

 

5

0

60

0.4

0.2

1

4800

 

6

0

60

0.6

0.1

0.912

3600

 

7

0

80

0.2

0.2

0.982

3200

 

8

0

80

0.4

0.1

0.893

3200

 

9

0

80

0.6

0.15

0.934

7200

 

10

2

40

0.2

0.15

0.903

1200

 

11

2

40

0.4

0.2

1.012

3200

 

12

2

40

0.6

0.1

0.9

2400

 

13

2

60

0.2

0.2

0.99

2400

 

14

2

60

0.4

0.1

0.954

2400

 

15

2

60

0.6

0.15

0.999

5400

 

16

2

80

0.2

0.1

0.853

1600

 

17

2

80

0.4

0.15

0.922

4800

 

18

2

80

0.6

0.2

1.004

9600

Max MRR

19

4

40

0.2

0.2

1

1600

 

20

4

40

0.4

0.1

0.867

1600

 

21

4

40

0.6

0.15

0.881

3600

 

22

4

60

0.2

0.1

0.832

1200

Max $R_a$

23

4

60

0.4

0.15

0.861

3600

 

24

4

60

0.6

0.1

0.946

3600

 

25

4

80

0.2

0.15

0.855

2400

 

26

4

80

0.4

0.2

0.933

6400

 

27

4

80

0.6

0.1

0.858

4800

 

Table 3. Analysis of variance (ANOVA)

Source

DF

Adj-SS

Adj-MS

F-Value

P-Value

C%

Model

14

0.079077

0.005648

4.72

0.005

84.64

Linear

4

0.071053

0.017763

14.86

0.000

76.05

c

1

0.012621

0.012621

10.56

0.007

13.50

v

1

0.004513

0.004513

3.77

0.076

4.83

d

1

0.004571

0.004571

3.82

0.074

4.89

f

1

0.043326

0.043326

36.24

0.000

46.37

Square

4

0.008214

0.002054

1.72

0.211

8.79

c2

1

0.001746

0.001746

1.46

0.250

1.86

v2

1

0.001947

0.001947

1.63

0.226

2.08

d2

1

0.000140

0.000140

0.12

0.739

0.14

f2

1

0.004385

0.004385

3.67

0.080

4.69

2-Way Interaction

6

0.001782

0.000297

0.25

0.951

1.90

cv

1

0.000187

0.000187

0.16

0.699

0.20

cd

1

0.000408

0.000408

0.34

0.570

0.43

cf

1

0.000000

0.000000

0.00

0.992

0

vd

1

0.000746

0.000746

0.62

0.445

0.79

vf

1

0.000486

0.000486

0.41

0.536

0.52

df

1

0.000019

0.000019

0.02

0.901

0.02

Error

12

0.014347

0.001196

-

-

15.35

Total

26

0.093424

-

-

-

-

R-sq=84.64%

(a) $R_a$ vs. $v, c$

(b) $R_a$ vs. $d, c$

(c) $R_a$ vs. $f, c$

Figure 5. Contour plots of $R_a$ against input factors

The analysis of variance table (Table 3) indicates a favourable assessment of the model. The R-squared value is 84.64%, indicating that the model accounts for about 85% of the variability in surface roughness attributable to the input factors. This demonstrates the reliability of the model. The analysis reveals that the feed rate exerts a substantially greater influence on Ra compared to other factors, contributing to over 46% of the variation observed in surface roughness. Nonetheless, the nanoparticle concentration also plays a significant role, contributing 13.5% to the observed variation. Conversely, the impact of cutting speed and depth of cut on surface roughness is comparatively minor. The factors with P-values less than 0.05 indicate that their impacts on the output response are statistically significant.

Figure 6. Probability plot of $R_a$

Figure 7. Multi-objective optimization

Increased feed rates result in higher roughness values. This is due to the phenomenon where machining at higher feed rates causes the formation of deeper and larger grooves on the machined surfaces. However, the application of nanofluids significantly improves the roughness. Increasing the concentration of nanoparticles (as shown in Figure 4) leads to a significant reduction in roughness, which can be explained by the mechanism of reducing the cutting zone friction and enhancing the heat transfer efficiency within the base fluid.

Figure 4 depicts an ideal representation of surface roughness. The plot illustrates that the minimum Ra value of 0.818 µm is attained by employing specific machining parameters: a high cutting speed of 80 m/min, a low feed rate of 0.1071 mm/rev, and a small depth of cut of 0.2 mm. Furthermore, the MQL cooling technique is applied, employing a nanoparticle concentration of 4 wt%. It is evident that achieving minimum roughness involves maximizing the cutting speed while minimizing both the feed rate and the cutting depth.

Figure 5 illustrates the interaction between the surface roughness and the output factors. Each panel in Figure 5 represents the influence of nanoparticle concentration and a specific cutting parameter. It is evident that the nanoparticle concentration has a greater impact than the cutting speed and the cutting depth. Changes in the nanoparticle concentration noticeably affect Ra resulting from the machining process. The relationship is inverse, indicating that as the nanoparticle concentration increases, surface roughness decreases. However, when examining the extent of influence on Ra, the feed rate emerges as the predominant factor. The ANOVA table also supports this conclusion.

The probability plot of Ra, as shown in Figure 6, exhibits data points that are tightly clustered around a central straight line. This strongly suggests that the selected terms in the model have a pronounced impact on the provided responses.

This research adopted a multi-objective optimization strategy to achieve both the minimum surface roughness and the maximum material removal rate. The optimal values for this multi-objective problem were determined using the Minitab statistical software, utilizing the desirability function depicted in Figure 7. A balanced solution was achieved by evaluating a composite desirability value of 0.7125, leading to a minimized surface roughness of 0.9075 µm and a maximized material removal rate of 7450.7 mm3/min. These optimal values were reached through the utilization of precise machining parameters: a cutting speed set at 80 m/min, a depth of cut of 0.6 mm, a feed rate of 0.1576 mm/rev, and a nanoparticle concentration maintained at 4%. These parameters collectively contributed to achieving the desired balance between surface roughness and material removal rate.

A validation experiment was executed to validate the robustness of the model. This experiment was conducted under the determined multi-objective optimal conditions, confirming the accuracy and reliability of the developed model. A Ra value of 1.012 µm and an MRR of 7564.8 mm3/min were achieved under these conditions. Therefore, the model has an error of 11.5% in predicting surface roughness and 1.53% in predicting MRR, indicating that it is reliable.

In summary, a quadratic regression mathematical model has been effectively developed to predict surface roughness based on cutting parameters. Notably, this model incorporates a novel parameter, the nanoparticle concentration. A multi-objective optimization approach is employed to simultaneously achieve two objectives: improving surface roughness while increasing MRR. The results also demonstrate the excellent effectiveness of nanofluid application.

4. Conclusions

This study aimed to simultaneously optimize both quality and productivity objectives. The study encompassed the analysis of four variables: nanoparticle concentration, cutting speed, depth of cut, and feed rate, within the framework of hard turning of alloy steel SKD61. The RSM was employed to conduct single-objective and multi-objective optimizations for both roughness and material removal rate. From this research, several key conclusions can be drawn:

  1. A quadratic regression mathematical model was formulated to describe the correlation between surface roughness and the four input parameters.
  2. Analysis indicated that the feed rate and nanoparticle concentration were the primary factors influencing surface roughness, accounting for 46.4% and 13.5% of the total variation, respectively. These results are in line with theoretical arguments that have been presented.
  3. The results showcased the significant effect of improving roughness by incorporating SiO2 nanoparticles in the cutting oil compared to conventional MQL techniques.
  4. Multi-objective optimization was conducted to achieve the dual objectives of minimizing roughness and maximizing MRR. The results yielded a compromise outcome with a minimum roughness value of 0.9075 µm and a maximum MRR of 7450.7 mm3/min. The composite desirability value for this solution was 0.7125.

Overall, the findings in this research provide further evidence regarding the influence of machining conditions on surface roughness. The identified multi-objective optimization conditions serve as a valuable reference outcome for future studies. However, the impact of nanoparticle size was not addressed. Exploring the efficacy of blending various types of nanoparticles into the base solution also presents a promising avenue for future investigation.

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