Submitted:
27 June 2024
Posted:
02 July 2024
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Abstract
Keywords:
1. Introduction
2. Experimental Method
2.1. Equipment and Materials
2.2. Statistical Design of Experiment Using Response Surface
- Determining the essential process variable.
- Deciding on the upper and lower limit process parameters
- Choosing the output response.
- Creating the matrix for the experimental design.
- Following the design matrix when conducting the studies
- Noting the response from the output
- Creating a mathematical model to connect the output response and the process parameters.
- Making that model more optimal via a genetic algorithm.
2.3. Selective Laser Melting
2.4. Building of Samples and Preparation
2.3. Hardness Testing
2.4. Microstructural Analysis
3. Results and Discussion
3.1. Microhardness and Microstructure Analysis
3.2. Results on the ANOVA
4. Conclusions
- The increasing of the laser power, consequently, makes the hardness to increase because of the increment in the laser beam intensity.
- Scanning speed does not have much impact on the resultant hardness.
- Optimized processing parameters were achieved, which gave a hardness value of 131.48 Hv
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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| Elements | Si | Fe | Mn | Zn | Al | Cu | Mg | Pb | Sn | O |
| Wt% | 11.0-13.3 | Balance |
| Parameter | units | levels | |||
| Scanning speed | mm/s | 200 | 500 | 850 | 1000 |
| Laser power | W | 50 | 100 | 150 | 200 |
| Sample No | Material AlSi12 | LP (W) | SS (mm/s) | Hardness value | |
|---|---|---|---|---|---|
| 1 | A1-1 | 150 | 1000 | 107.32 | |
| 2 | A1-2 | 150 | 850 | 116.27 | |
| 3 | A1-3 | 150 | 500 | 110.75 | |
| 4 | A1-4 | 150 | 200 | 124.40 | |
| 5 | B1-1 | 200 | 1000 | 131,48 | |
| 6 | B1-2 | 200 | 850 | 128.82 | |
| 7 | B1-3 | 200 | 500 | 120.36 | |
| 8 | B1-4 | 200 | 200 | 121.23 | |
| 9 | C1-1 | 100 | 1000 | 75.15 | |
| 10 | C1-2 | 100 | 850 | 103.48 | |
| 11 | C1-3 | 100 | 500 | 108.70 | |
| 12 | C1-4 | 100 | 200 | 118.02 | |
| 13 | D1-1 | 50 | 1000 | - | |
| 14 | D1-2 | 50 | 850 | - | |
| 15 | D1-3 | 50 | 500 | 97.66 | |
| 16 | D1-4 | 50 | 200 | 109.34 |
| Run Order | Actual Value | Predicted Value | Residual | Leverage | Internally Studentized Residuals | Externally Studentized Residuals | Cook's Distance | Influence on Fitted Value DFFITS | Standard Order |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 107.32 | 101.39 | 5.93 | 0.177 | 0.360 | 0.346 | 0.007 | 0.161 | 11 |
| 2 | 116.27 | 104.97 | 11.30 | 0.110 | 0.659 | 0.643 | 0.013 | 0.226 | 4 |
| 3 | 110.75 | 113.32 | -2.57 | 0.090 | -0.148 | -0.142 | 0.001 | -0.045 | 10 |
| 4 | 124.40 | 120.47 | 3.93 | 0.223 | 0.245 | 0.235 | 0.004 | 0.126 | 8 |
| 5 | 131.48 | 144.65 | -13.17 | 0.413 | -0.946 | -0.942 | 0.157 | -0.789 | 7 |
| 6 | 128.82 | 140.03 | -11.21 | 0.257 | -0.716 | -0.700 | 0.044 | -0.412 | 5 |
| 7 | 120.36 | 129.25 | -8.89 | 0.209 | -0.550 | -0.534 | 0.020 | -0.275 | 13 |
| 8 | 121.23 | 120.01 | 1.22 | 0.521⁽¹⁾ | 0.097 | 0.093 | 0.003 | 0.097 | 6 |
| 9 | 75.15 | 58.13 | 17.02 | 0.177 | 1.033 | 1.036 | 0.057 | 0.480 | 12 |
| 10 | 103.48 | 69.90 | 33.58 | 0.110 | 1.959 | 2.274 | 0.119 | 0.800 | 1 |
| 11 | 108.70 | 97.38 | 11.32 | 0.090 | 0.653 | 0.637 | 0.010 | 0.200 | 3 |
| 12 | 118.02 | 120.93 | -2.91 | 0.223 | -0.182 | -0.174 | 0.002 | -0.094 | 2 |
| 13 | 0.0000 | 14.86 | -14.86 | 0.413 | -1.067 | -1.074 | 0.200 | -0.901 | 9 |
| 14 | 0.0000 | 34.84 | -34.84 | 0.257 | -2.224 | -2.777 | 0.427 | -1.632⁽²⁾ | 14 |
| 15 | 97.66 | 81.44 | 16.22 | 0.209 | 1.004 | 1.004 | 0.067 | 0.516 | 15 |
| 16 | 109.34 | 121.39 | -12.05 | 0.521⁽¹⁾ | -0.959 | -0.955 | 0.250 | -0.997 | 16 |
| Objective | Optimized processing parameter |
Predicted Value |
Experimental Value | |
|---|---|---|---|---|
| Maximize hardness |
Laser power = 200W | 144,65 | 131,48 | |
| Scanning speed =1000 mm/s | ||||
| Source | Sum of Squares | df | Mean Square | F-value | p-value | |
|---|---|---|---|---|---|---|
| Model | 20831.78 | 3 | 6943.93 | 21.03 | < 0.0001 | significant |
| A-laser power | 9029.59 | 1 | 9029.59 | 27.35 | 0.0002 | |
| B-Scan speed | 4054.14 | 1 | 4054.14 | 12.28 | 0.0043 | |
| AB | 5778.18 | 1 | 5778.18 | 17.50 | 0.0013 | |
| Residual | 3961.39 | 12 | 330.12 | |||
| Cor Total | 24793.17 | 15 |
| Std. Dev. | 18.17 | R² | 0.8402 |
| Mean | 98.31 | Adjusted R² | 0.8003 |
| C.V. % | 18.48 | Predicted R² | 0.7168 |
| Adeq Precision | 14.2870 |
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