Optimization of Laser Cladding Parameters for High-Entropy Alloy-Reinforced 316L Stainless-Steel via Grey Relational Analysis
Abstract
:1. Introduction
2. Materials and Methods
3. Results
3.1. Analysis of Microhardness
3.2. Analysis of Dilution Rate
3.3. Analysis of Average Contact Angle
3.4. Analysis of Mean Difference of Contact Angles
3.5. Multi-Response Grey Relational Analysis
3.6. Processing Parameters Optimization and Experimental Validation
3.7. Economic, Energy, and Sustainability Analyses
4. Conclusions
- The analysis of microhardness as the sole response variable indicates a notable decrease with higher powder feed rates. Moreover, variations in laser power, scanning speed, and substrate tilt angle initially lead to a reduction in microhardness, followed by subsequent improvements and subsequent declines.
- The analysis of the dilution rate indicates a significant decrease with higher powder feed rates and an increase with greater laser power. As scanning speed increases, the dilution rate initially rises and then declines. Conversely, as the substrate tilt angle increases, the dilution rate first decreases and then rises. Regarding the average contact angle, there is a progressive increase with higher powder feed rates, while an increase in substrate tilt angle leads to a decrease. The addition of HEA initially raises the average contact angle and subsequently reduces it, whereas higher laser power consistently enhances it. The mean difference in contact angles shows an initial sharp increase followed by a slight decrease with increasing laser power. Increases in the HEA addition rate, scanning speed, and powder feed rate result in an initial rise followed by a decline in the mean difference of contact angles.
- Grey relational analysis effectively discerns the processing parameters that optimize coating quality. The optimal combination comprises a 15% HEA addition rate, 750 W laser power, 7 mm/s scanning speed, 2 r/min powder feed rate, and a 30° substrate tilt angle. Coatings produced under these conditions exhibit markedly enhanced microhardness and average contact angle compared to those achieved using the optimal parameters identified in the orthogonal test.
- The validation experiment, conducted using optimal parameter settings identified through grey relational analysis, demonstrates a minimal error of 0.95% relative to the predicted value, underscoring the efficacy of GRA in optimizing laser cladding parameters. The preparation of laser cladding coatings utilizing the optimal parameters derived through GRA demonstrates enhanced economic efficiency and superior environmental sustainability compared to conventional methods. The methodologies presented in this study can also be applied to optimize laser processing parameters in selective laser melting of titanium alloys and laser powder bed fusion of aluminum alloys. These methodologies offer a robust framework for advancing laser cladding technology in industrial applications, thereby facilitating the fabrication of wear-resistant coatings and the enhancement or repair of component surfaces. Specifically, laser cladding coatings optimized through GRA can be used for corrosion resistance treatment of ships in the maritime industry, surface enhancement of specialized parts in the aerospace industry, and service protection of cooling tower components in the power industry.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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C | Si | Mn | S | P | Fe |
---|---|---|---|---|---|
≤0.22 | ≤0.35 | ≤1.4 | ≤0.050 | ≤0.045 | Bal. |
Fe | Ni | Cr | Al | Cu |
---|---|---|---|---|
22.15 | 22.41 | 19.72 | 10.39 | Bal. |
C | Si | Mn | S | P | Cr | Ni | Mo | Fe |
---|---|---|---|---|---|---|---|---|
<0.03 | <1.00 | <2.00 | <0.03 | <0.045 | <18 | <14 | <3 | Bal. |
Processing Parameter | Notation | Unit | Levels | |||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | |||
HEA Addition Rate | A | % | 0 | 5 | 10 | 15 |
Laser Power | B | W | 750 | 1100 | 1450 | 1800 |
Scanning Speed | C | mm/s | 5 | 7 | 9 | 11 |
Powder Feed Rate | D | r/min | 2 | 5 | 8 | 11 |
Substrate Tilt Angle | E | ° | 0 | 10 | 20 | 30 |
Run | A (%) | B (W) | C (mm/s) | D (r/min) | E (°) | Parameter Combination | H (HV) | λ (%) | (°) | Δa (°) |
---|---|---|---|---|---|---|---|---|---|---|
1 | 0 | 750 | 5 | 2 | 0 | A1B1C1D1E1 | 439.87 | 38.32 | 24.26 | 0.634 |
2 | 0 | 1100 | 7 | 5 | 10 | A1B2C2D2E2 | 181.60 | 15.92 | 51.85 | 0.600 |
3 | 0 | 1450 | 9 | 8 | 20 | A1B3C3D3E3 | 364.09 | 27.24 | 57.76 | 26.464 |
4 | 0 | 1800 | 11 | 11 | 30 | A1B4C4D4E4 | 194.13 | 18.65 | 63.27 | 4.236 |
5 | 5 | 750 | 7 | 8 | 30 | A2B1C2D3E4 | 190.05 | 20.31 | 25.21 | 3.076 |
6 | 5 | 1100 | 5 | 11 | 20 | A2B2C1D4E3 | 184.72 | 8.39 | 76.15 | 17.584 |
7 | 5 | 1450 | 11 | 2 | 10 | A2B3C4D1E2 | 460.28 | 83.32 | 39.42 | 20.054 |
8 | 5 | 1800 | 9 | 5 | 0 | A2B4C3D2E1 | 457.03 | 85.50 | 90.81 | 48.533 |
9 | 10 | 750 | 9 | 11 | 10 | A3B1C3D4E2 | 203.30 | 6.55 | 59.06 | 1.460 |
10 | 10 | 1100 | 11 | 8 | 0 | A3B2C4D3E1 | 257.83 | 21.93 | 52.39 | 1.029 |
11 | 10 | 1450 | 5 | 5 | 30 | A3B3C1D2E4 | 407.13 | 36.07 | 33.94 | 2.513 |
12 | 10 | 1800 | 7 | 2 | 20 | A3B4C2D1E3 | 424.47 | 86.27 | 17.95 | 4.194 |
13 | 15 | 750 | 11 | 5 | 20 | A4B1C4D2E3 | 461.30 | 31.26 | 25.79 | 0.312 |
14 | 15 | 1100 | 9 | 2 | 30 | A4B2C3D1E4 | 445.02 | 79.53 | 12.67 | 2.010 |
15 | 15 | 1450 | 7 | 11 | 0 | A4B3C2D4E1 | 180.04 | 14.64 | 73.75 | 5.192 |
16 | 15 | 1800 | 5 | 8 | 10 | A4B4C1D3E2 | 209.81 | 25.15 | 55.20 | 2.743 |
Processing Parameter | Notation | Unit | Levels | |||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | |||
HEA Addition Rate | A | % | 0 | 5 | 10 | 15 |
Laser Power | B | W | 750 | 750 | 750 | 750 |
Scanning Speed | C | mm/s | 7 | 7 | 7 | 7 |
Powder Feed Rate | D | r/min | 2 | 2 | 2 | 2 |
Substrate Tilt Angle | E | ° | 30 | 30 | 30 | 30 |
Criterion | Phase | HEA Addition Rate | |||
---|---|---|---|---|---|
0% | 5% | 10% | 15% | ||
Lattice constant (nm) | Laves | 0.4891 | 0.4881 | 0.4885 | 0.4885 |
FCC | 0.4198 | 0.4206 | 0.4203 | 0.4203 | |
BCC | 0.2883 | 0.2886 | 0.2888 | 0.2885 |
Level | A | B | C | D | E |
---|---|---|---|---|---|
1 | 48.76 | 49.47 | 49.21 | 52.91 | 49.85 |
2 | 49.34 | 47.93 | 47.11 | 50.96 | 47.76 |
3 | 49.79 | 50.45 | 50.89 | 47.87 | 50.60 |
4 | 49.45 | 49.49 | 50.13 | 45.59 | 49.13 |
Delta | 1.03 | 2.52 | 3.78 | 7.32 | 2.84 |
Rank | 5 | 4 | 2 | 1 | 3 |
Level | A | B | C | D | E |
---|---|---|---|---|---|
1 | 12.54 | 13.99 | 12.68 | 3.30 | 9.89 |
2 | 9.58 | 13.16 | 11.95 | 9.07 | 13.30 |
3 | 11.75 | 9.61 | 9.58 | 12.58 | 11.05 |
4 | 10.19 | 7.31 | 9.86 | 19.12 | 9.82 |
Delta | 2.97 | 6.68 | 3.10 | 15.82 | 3.48 |
Rank | 5 | 2 | 4 | 1 | 3 |
Level | A | B | C | D | E |
---|---|---|---|---|---|
1 | −33.31 | −29.85 | −32.7 | −26.69 | −34.65 |
2 | −34.19 | −32.09 | −31.19 | −33.07 | −34.12 |
3 | −31.38 | −33.78 | −32.97 | −33.12 | −31.54 |
4 | −30.62 | −33.78 | −32.64 | −36.61 | −29.18 |
Delta | 3.57 | 3.93 | 1.78 | 9.92 | 5.47 |
Rank | 4 | 3 | 5 | 1 | 2 |
Level | A | B | C | D | E |
---|---|---|---|---|---|
1 | −8.15 | 0.26 | −9.43 | −10.15 | −11.08 |
2 | −23.61 | −6.69 | −8.02 | −6.79 | −8.41 |
3 | −6.00 | −19.20 | −17.88 | −11.81 | −13.92 |
4 | −4.75 | −16.87 | −7.17 | −13.76 | −9.09 |
Delta | 18.86 | 19.46 | 10.71 | 6.97 | 5.51 |
Rank | 2 | 1 | 3 | 4 | 5 |
Run | Y(H) | ∆0(H) | Y(λ) | ∆0(λ) | ) | ∆0) | ) | ∆0) |
---|---|---|---|---|---|---|---|---|
1 | 0.92381 | 0.07619 | 0.60226 | 0.39774 | 0.85170 | 0.14830 | 0.99332 | 0.00668 |
2 | 0.00555 | 0.99445 | 0.88331 | 0.11669 | 0.49864 | 0.50136 | 0.99403 | 0.00597 |
3 | 0.65438 | 0.34562 | 0.74153 | 0.25847 | 0.42301 | 0.57700 | 0.45766 | 0.54234 |
4 | 0.05010 | 0.94990 | 0.84818 | 0.15182 | 0.35247 | 0.64754 | 0.91863 | 0.08138 |
5 | 0.03559 | 0.96441 | 0.82811 | 0.17190 | 0.83960 | 0.16040 | 0.94268 | 0.05732 |
6 | 0.01664 | 0.98336 | 0.97742 | 0.02259 | 0.18761 | 0.81239 | 0.64182 | 0.35818 |
7 | 0.99637 | 0.00363 | 0.03764 | 0.96236 | 0.65775 | 0.34225 | 0.59059 | 0.40941 |
8 | 0.98482 | 0.01518 | 0.01004 | 0.98996 | 0 | 1 | 0 | 1 |
9 | 0.08270 | 0.91730 | 1 | 0 | 0.40630 | 0.59370 | 0.97619 | 0.02381 |
10 | 0.27658 | 0.72342 | 0.80803 | 0.19197 | 0.49171 | 0.50829 | 0.98513 | 0.01487 |
11 | 0.80740 | 0.19260 | 0.62986 | 0.37014 | 0.72783 | 0.27218 | 0.95436 | 0.04564 |
12 | 0.86905 | 0.13095 | 0 | 1 | 0.93246 | 0.06755 | 0.91950 | 0.08050 |
13 | 1 | 0 | 0.69009 | 0.30991 | 0.83219 | 0.16781 | 1 | 0 |
14 | 0.94212 | 0.05788 | 0.08532 | 0.91468 | 1 | 0 | 0.96479 | 0.03521 |
15 | 0 | 1 | 0.89962 | 0.10038 | 0.21841 | 0.78159 | 0.89880 | 0.10120 |
16 | 0.10585 | 0.89416 | 0.76663 | 0.23338 | 0.45573 | 0.54427 | 0.94959 | 0.05041 |
Run | GRC(H) | GRC(λ) | ) | ) | GRG | Rank |
---|---|---|---|---|---|---|
1 | 0.86777 | 0.55695 | 0.77125 | 0.98682 | 0.80883 | 2 |
2 | 0.33457 | 0.81078 | 0.49932 | 0.98820 | 0.70690 | 8 |
3 | 0.59128 | 0.65922 | 0.46426 | 0.47969 | 0.54251 | 15 |
4 | 0.34485 | 0.76708 | 0.43572 | 0.86003 | 0.64119 | 11 |
5 | 0.34143 | 0.74416 | 0.75711 | 0.89715 | 0.71920 | 7 |
6 | 0.33707 | 0.95678 | 0.38098 | 0.58263 | 0.58204 | 14 |
7 | 0.99280 | 0.34191 | 0.59365 | 0.54981 | 0.59483 | 13 |
8 | 0.97053 | 0.33558 | 0.33333 | 0.33333 | 0.45854 | 16 |
9 | 0.35278 | 1.00000 | 0.45717 | 0.95455 | 0.73666 | 4 |
10 | 0.40869 | 0.72258 | 0.49589 | 0.97112 | 0.69312 | 9 |
11 | 0.72192 | 0.57462 | 0.64752 | 0.91635 | 0.73350 | 5 |
12 | 0.79246 | 0.33333 | 0.88099 | 0.86132 | 0.72156 | 6 |
13 | 1.00000 | 0.61735 | 0.74871 | 1.00000 | 0.84899 | 1 |
14 | 0.89625 | 0.35344 | 1.00000 | 0.93421 | 0.79775 | 3 |
15 | 0.33333 | 0.83281 | 0.39014 | 0.83167 | 0.63556 | 12 |
16 | 0.35864 | 0.68178 | 0.47880 | 0.90841 | 0.64853 | 10 |
Processing Parameter | Notation | Levels | Absolute Value Difference | Rank | |||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | ||||
HEA Addition Rate | A | −3.51 | −4.71 | −2.84 | −2.77 | 1.94 | 2 |
Laser Power | B | −2.20 | −3.22 | −4.11 | −4.31 | 2.11 | 1 |
Scanning Speed | C | −3.25 | −3.16 | −4.18 | −3.25 | 1.01 | 4 |
Powder Feed Rate | D | −2.79 | −3.48 | −3.78 | −3.79 | 1 | 5 |
Substrate Tilt Angle | E | −3.93 | −3.49 | −3.57 | −2.84 | 1.09 | 3 |
Output | Best Parameter Set fromOrthogonal Design | GRA Prediction | Validation on GRA Prediction |
---|---|---|---|
Parameter Set | A4B1C4D2E3 | A4B1C2D1E4 | A4B1C2D1E4 |
H | 461.30 HV | - | 549.14 HV |
λ | 0.31 | - | 0.536 |
25.79° | - | 16.16° | |
Δa | 0.312 | - | 1.69 |
GRG | 0.84899 | 0.94316 | 0.93427 |
Technical Categories | China/kg | The United Kingdom/kg | France/kg | The United States/kg | The Russian Federation/kg |
---|---|---|---|---|---|
Laser cladding | 161.59 | 61.21 | 11.88 | 108.21 | 93.32 |
Plasma spray | 239.60 | 90.76 | 17.62 | 160.45 | 138.37 |
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Gao, S.; Fu, Q.; Li, M.; Huang, L.; Liu, N.; Cui, C.; Yang, B.; Zhang, G. Optimization of Laser Cladding Parameters for High-Entropy Alloy-Reinforced 316L Stainless-Steel via Grey Relational Analysis. Coatings 2024, 14, 1103. https://doi.org/10.3390/coatings14091103
Gao S, Fu Q, Li M, Huang L, Liu N, Cui C, Yang B, Zhang G. Optimization of Laser Cladding Parameters for High-Entropy Alloy-Reinforced 316L Stainless-Steel via Grey Relational Analysis. Coatings. 2024; 14(9):1103. https://doi.org/10.3390/coatings14091103
Chicago/Turabian StyleGao, Senao, Qiang Fu, Mengzhao Li, Long Huang, Nian Liu, Chang Cui, Bing Yang, and Guodong Zhang. 2024. "Optimization of Laser Cladding Parameters for High-Entropy Alloy-Reinforced 316L Stainless-Steel via Grey Relational Analysis" Coatings 14, no. 9: 1103. https://doi.org/10.3390/coatings14091103