Multi-Objective Optimisation of Hybrid Banana/Sisal/Red Mud Composites Using Taguchi–Grey Relational Analysis
Abstract
1. Introduction
2. Materials and Methods
2.1. Materials
2.2. Fibre Treatment
2.3. Composite Fabrication
2.4. Testing
2.5. Optimising Results with GRA
2.6. Ratio of Signal to Noise
2.7. Normalised S/N Ratio
2.8. Grey Relational Coefficients and Its Grades
3. Results and Discussion
3.1. Impact Strength
3.2. Flexural Strength
3.3. Tensile Strength
3.4. Shear Strength
3.5. Hardness
3.6. Response Table for SN Ratio for Mechanical Properties
3.7. ANOVA for Mechanical Properties
3.8. Response of Sisal Fibre- and Banana Fibre-Reinforced Hybrid Composites
3.9. Microstructural Analysis of Sisal-Banana Fibre Hybrid Composites
3.10. Sustainability and Cleaner Production Perspective
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Process Parameters | Symbols | Levels | |||
---|---|---|---|---|---|
1 | 2 | 3 | 4 | ||
Sisal fibre (wt.%) | A | 0 | 15 | 30 | 45 |
Banana fibre (wt.%) | B | 0 | 15 | 30 | 45 |
NaOH concentration (%) | C | 0 | 2 | 4 | 6 |
Red mud (wt.%) | D | 1 | 2 | 3 | 4 |
Exp. No. | Sisal Fibre (wt.%) | Banana Fibre (wt.%) | NaOH Treatment (%) | Red Mud (wt.%) | Impact Strength (J) | Flexural Strength (MPa) | Tensile Strength (MPa) | Shear Strength (Mpa) | Hardness |
---|---|---|---|---|---|---|---|---|---|
1 | 0 | 0 | 0 | 1 | 1.98 | 47.58 | 26.81 | 16.1 | 57.14 |
2 | 0 | 15 | 2 | 2 | 3.86 | 64.25 | 45.68 | 27.39 | 77.51 |
3 | 0 | 30 | 4 | 3 | 4.19 | 69.38 | 50.28 | 30.12 | 83.62 |
4 | 0 | 45 | 6 | 4 | 5.01 | 71.58 | 56.81 | 34.01 | 59.19 |
5 | 15 | 0 | 2 | 3 | 2.98 | 51.25 | 31.53 | 18.86 | 61.05 |
6 | 15 | 15 | 0 | 4 | 4.96 | 70.28 | 54.53 | 32.54 | 84.43 |
7 | 15 | 30 | 6 | 1 | 6.16 | 60.27 | 61.57 | 36.57 | 72.23 |
8 | 15 | 45 | 4 | 2 | 5.58 | 70.89 | 58.92 | 35.21 | 85.71 |
9 | 30 | 0 | 4 | 4 | 6.13 | 61.58 | 63.53 | 38.21 | 73.19 |
10 | 30 | 15 | 6 | 3 | 6.57 | 63.57 | 65.52 | 39.13 | 76.82 |
11 | 30 | 30 | 0 | 2 | 2.08 | 49.87 | 29.98 | 17.28 | 59.48 |
12 | 30 | 45 | 2 | 1 | 3.57 | 63.51 | 34.59 | 20.52 | 76.12 |
13 | 45 | 0 | 6 | 2 | 5.52 | 72.58 | 60.51 | 36.12 | 87.01 |
14 | 45 | 15 | 4 | 1 | 6.08 | 63.51 | 62.95 | 37.66 | 76.12 |
15 | 45 | 30 | 2 | 4 | 4.58 | 71.82 | 56.21 | 33.37 | 86.81 |
16 | 45 | 45 | 0 | 3 | 4.05 | 72.19 | 58.53 | 35.21 | 86.26 |
Exp. No. | S/N Ratio | Normalised S/N Ratio | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Impact Strength (J) | Flexural Strength (MPa) | Tensile Strength (MPa) | Shear Strength (Mpa) | Hardness | Impact Strength (J) | Flexural Strength (MPa) | Tensile Strength (MPa) | Shear Strength (Mpa) | Hardness | |
1 | 5.933 | 33.548 | 28.566 | 24.137 | 35.139 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
2 | 11.732 | 36.157 | 33.195 | 28.752 | 37.787 | 0.557 | 0.711 | 0.596 | 0.598 | 0.725 |
3 | 12.444 | 36.825 | 34.028 | 29.577 | 38.446 | 0.625 | 0.893 | 0.704 | 0.705 | 0.905 |
4 | 13.997 | 37.096 | 35.088 | 30.632 | 35.445 | 0.774 | 0.967 | 0.840 | 0.842 | 0.084 |
5 | 9.484 | 34.194 | 29.974 | 25.511 | 35.714 | 0.341 | 0.176 | 0.181 | 0.178 | 0.157 |
6 | 13.910 | 36.937 | 34.733 | 30.248 | 38.530 | 0.766 | 0.924 | 0.795 | 0.792 | 0.928 |
7 | 15.792 | 35.602 | 35.787 | 31.262 | 37.174 | 0.946 | 0.560 | 0.930 | 0.924 | 0.557 |
8 | 14.933 | 37.012 | 35.405 | 30.933 | 38.661 | 0.864 | 0.944 | 0.881 | 0.881 | 0.964 |
9 | 15.749 | 35.789 | 36.060 | 31.644 | 37.289 | 0.942 | 0.611 | 0.965 | 0.973 | 0.589 |
10 | 16.351 | 36.065 | 36.327 | 31.850 | 37.709 | 1.000 | 0.686 | 1.000 | 1.000 | 0.704 |
11 | 6.361 | 33.957 | 29.537 | 24.751 | 35.487 | 0.041 | 0.111 | 0.125 | 0.080 | 0.095 |
12 | 11.053 | 36.057 | 30.779 | 26.244 | 37.630 | 0.491 | 0.684 | 0.285 | 0.273 | 0.682 |
13 | 14.839 | 37.216 | 35.637 | 31.155 | 38.791 | 0.855 | 1.000 | 0.911 | 0.910 | 1.000 |
14 | 15.678 | 36.057 | 35.980 | 31.518 | 37.630 | 0.935 | 0.684 | 0.955 | 0.957 | 0.682 |
15 | 13.217 | 37.125 | 34.996 | 30.467 | 38.771 | 0.699 | 0.975 | 0.828 | 0.821 | 0.995 |
16 | 12.149 | 37.170 | 35.348 | 30.933 | 38.716 | 0.597 | 0.987 | 0.874 | 0.881 | 0.979 |
Mechanical Properties | Composition | 1 | 2 | 3 | 4 | Delta | Rank |
---|---|---|---|---|---|---|---|
Impact strength (MPa) | Sisal fibre (wt.%) | 11.027 | 13.53 | 12.379 | 13.971 | 2.944 | 2 |
Banana fibre (wt.%) | 11.501 | 14.418 | 11.954 | 13.033 | 2.916 | 3 | |
NaOH treatment (%) | 9.588 | 11.372 | 14.701 | 15.245 | 5.656 | 1 | |
Red mud (wt.%) | 12.114 | 11.966 | 12.607 | 14.218 | 2.252 | 4 | |
Flexural strength (MPa) | Sisal fibre (wt.%) | 35.91 | 35.94 | 35.47 | 36.89 | 1.43 | 2 |
Banana fibre (wt.%) | 35.19 | 36.3 | 35.88 | 36.83 | 1.65 | 1 | |
NaOH treatment (%) | 35.4 | 35.88 | 36.42 | 36.49 | 1.09 | 4 | |
Red mud (wt.%) | 35.32 | 36.09 | 36.06 | 36.74 | 1.42 | 3 | |
Tensile strength (MPa) | Sisal fibre (wt.%) | 32.72 | 33.97 | 33.18 | 35.49 | 2.77 | 2 |
Banana fibre (wt.%) | 32.56 | 35.06 | 33.59 | 34.16 | 2.5 | 3 | |
NaOH treatment (%) | 32.05 | 32.24 | 35.37 | 35.71 | 3.66 | 1 | |
Red mud (wt.%) | 32.78 | 33.44 | 33.92 | 35.22 | 2.44 | 4 | |
Shear strength (MPa) | Sisal fibre (wt.%) | 30.63 | 31.83 | 30.96 | 33.3 | 2.67 | 2 |
Banana fibre (wt.%) | 30.51 | 32.84 | 31.41 | 31.97 | 2.33 | 3 | |
NaOH treatment (%) | 30.04 | 30.3 | 33.13 | 33.25 | 3.22 | 1 | |
Red mud (wt.%) | 30.66 | 31.35 | 31.83 | 32.89 | 2.23 | 4 | |
Hardness | Sisal fibre (wt.%) | 36.7 | 37.52 | 37.03 | 38.48 | 1.77 | 1 |
Banana fibre (wt.%) | 36.73 | 37.91 | 37.47 | 37.61 | 1.18 | 2 | |
NaOH treatment (%) | 36.97 | 37.48 | 38.01 | 37.28 | 1.04 | 3 | |
Red mud (wt.%) | 36.89 | 37.68 | 37.65 | 37.51 | 0.79 | 4 |
Mechanical Properties | Composition | DF | Seq SS | Adj SS | Adj MS | F | p |
---|---|---|---|---|---|---|---|
Impact strength (MPa) | Sisal fibre (wt.%) | 3 | 20.82 | 20.82 | 6.939 | 1.62 | 0.351 |
Banana fibre (wt.%) | 3 | 20.21 | 20.21 | 6.736 | 1.57 | 0.360 | |
NaOH treatment (%) | 3 | 87.69 | 87.69 | 29.231 | 6.82 | 0.075 | |
Red mud (wt.%) | 3 | 12.77 | 12.77 | 4.257 | 0.99 | 0.502 | |
Residual error | 3 | 12.85 | 12.85 | 4.284 | - | - | |
Total | 15 | 154.34 | - | - | - | - | |
Flexural strength (MPa) | Sisal fibre (wt.%) | 3 | 4.330 | 4.330 | 1.443 | 1.03 | 0.492 |
Banana fibre (wt.%) | 3 | 5.813 | 5.813 | 1.938 | 1.38 | 0.400 | |
NaOH treatment (%) | 3 | 3.127 | 3.127 | 1.042 | 0.74 | 0.595 | |
Red mud (wt.%) | 3 | 4.046 | 4.046 | 1.349 | 0.96 | 0.514 | |
Residual error | 3 | 4.224 | 4.224 | 1.408 | - | - | |
Total | 15 | 21.539 | - | - | - | - | |
Tensile strength (MPa) | Sisal fibre (wt.%) | 3 | 17.75 | 17.75 | 5.918 | 1.47 | 0.379 |
Banana fibre (wt.%) | 3 | 13.16 | 13.16 | 4.385 | 1.09 | 0.472 | |
NaOH treatment (%) | 3 | 46.50 | 46.50 | 15.499 | 3.86 | 0.148 | |
Red mud (wt.%) | 3 | 12.78 | 12.78 | 4.258 | 1.06 | 0.481 | |
Residual error | 3 | 12.05 | 12.05 | 4.015 | - | - | |
Total | 15 | 102.23 | - | - | - | - | |
Shear strength (MPa) | Sisal fibre (wt.%) | 3 | 17.96 | 17.96 | 5.986 | 1.38 | 0.398 |
Banana fibre (wt.%) | 3 | 13.21 | 13.21 | 4.402 | 1.02 | 0.494 | |
NaOH treatment (%) | 3 | 47.66 | 47.66 | 15.885 | 3.68 | 0.157 | |
Red mud (wt.%) | 3 | 13.18 | 13.18 | 4.394 | 1.02 | 0.495 | |
Residual error | 3 | 12.97 | 12.97 | 4.322 | - | - | |
Total | 15 | 104.97 | - | - | - | - | |
Hardness | Sisal fibre (wt.%) | 3 | 7.169 | 7.169 | 2.3896 | 0.64 | 0.640 |
Banana fibre (wt.%) | 3 | 3.020 | 3.020 | 1.0065 | 0.27 | 0.846 | |
NaOH treatment (%) | 3 | 2.281 | 2.281 | 0.7603 | 0.20 | 0.889 | |
Red mud (wt.%) | 3 | 1.618 | 1.618 | 0.5392 | 0.14 | 0.927 | |
Residual error | 3 | 11.257 | 11.257 | 3.7523 | - | - | |
Total | 15 | 25.344 | - | - | - | - |
Exp. No. | Impact Strength (J) | Flexural Strength (MPa) | Tensile Strength (MPa) | Shear Strength (Mpa) | Hardness | Grade | Rank |
---|---|---|---|---|---|---|---|
1 | 0.333 | 0.333 | 0.333 | 0.333 | 0.333 | 0.333 | 16 |
2 | 0.530 | 0.634 | 0.553 | 0.555 | 0.645 | 0.583 | 12 |
3 | 0.571 | 0.824 | 0.628 | 0.629 | 0.841 | 0.699 | 11 |
4 | 0.689 | 0.938 | 0.758 | 0.760 | 0.353 | 0.700 | 10 |
5 | 0.431 | 0.378 | 0.379 | 0.378 | 0.372 | 0.388 | 14 |
6 | 0.681 | 0.868 | 0.709 | 0.707 | 0.875 | 0.768 | 8 |
7 | 0.903 | 0.532 | 0.878 | 0.868 | 0.530 | 0.742 | 9 |
8 | 0.786 | 0.900 | 0.808 | 0.808 | 0.933 | 0.847 | 3 |
9 | 0.896 | 0.562 | 0.935 | 0.949 | 0.549 | 0.778 | 7 |
10 | 1.000 | 0.614 | 1.000 | 1.000 | 0.628 | 0.848 | 2 |
11 | 0.343 | 0.360 | 0.364 | 0.352 | 0.356 | 0.355 | 15 |
12 | 0.496 | 0.613 | 0.412 | 0.408 | 0.611 | 0.508 | 13 |
13 | 0.775 | 1.000 | 0.849 | 0.847 | 1.000 | 0.894 | 1 |
14 | 0.886 | 0.613 | 0.918 | 0.921 | 0.611 | 0.790 | 6 |
15 | 0.624 | 0.953 | 0.745 | 0.736 | 0.989 | 0.809 | 5 |
16 | 0.553 | 0.975 | 0.798 | 0.808 | 0.960 | 0.819 | 4 |
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Rasu, K.; Shanmugam, V.; Davim, J.P. Multi-Objective Optimisation of Hybrid Banana/Sisal/Red Mud Composites Using Taguchi–Grey Relational Analysis. J. Compos. Sci. 2025, 9, 357. https://doi.org/10.3390/jcs9070357
Rasu K, Shanmugam V, Davim JP. Multi-Objective Optimisation of Hybrid Banana/Sisal/Red Mud Composites Using Taguchi–Grey Relational Analysis. Journal of Composites Science. 2025; 9(7):357. https://doi.org/10.3390/jcs9070357
Chicago/Turabian StyleRasu, Karthick, Vigneshwaran Shanmugam, and Joao Paulo Davim. 2025. "Multi-Objective Optimisation of Hybrid Banana/Sisal/Red Mud Composites Using Taguchi–Grey Relational Analysis" Journal of Composites Science 9, no. 7: 357. https://doi.org/10.3390/jcs9070357
APA StyleRasu, K., Shanmugam, V., & Davim, J. P. (2025). Multi-Objective Optimisation of Hybrid Banana/Sisal/Red Mud Composites Using Taguchi–Grey Relational Analysis. Journal of Composites Science, 9(7), 357. https://doi.org/10.3390/jcs9070357