Optimization of Fiber Factors on Flexural Properties for Carbon Fiber Reinforced Polypropylene
Abstract
:1. Introduction
2. Experimental
2.1. Material
2.2. Fiber Length and Fiber Orientation
2.3. Composite Fabrication
2.4. Design of Experiment
2.5. Characterization
3. Results and Discussion
3.1. Experimental Results
3.2. Analysis of Flexural Strength
3.3. Analysis of Flexural Modulus
3.4. Optimization and Confirmation
4. Conclusions
- The RSM-ANOVA models of the flexural strength and modulus have been developed and statistically validated.
- The RSM optimization technique reduces the experimental time, improves the flexural performance of the composite, improves reliability, and achieves robustness of the composite.
- The orientation of the fibers has the most significant effect on the flexural strength of the composite.
- All fiber factors influenced flexural modulus significantly, with fiber orientation being the most significant factor.
- Applying the optimal fiber factors can improve the flexural strength and modulus of carbon fiber reinforced polypropylene.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Acknowledgments
Conflicts of Interest
References
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Material | Properties | Values |
---|---|---|
Carbon fiber (T700SC 12K) | Filament diameter (µm) | 7 |
Tow diameter (mm) | 0.85 | |
Density (g/cm3) | 1.8 | |
Tensile strength (MPa) | 4900 | |
Cosmoplene AW564 | Density (g/cm3) | 0.9 |
Melting temperature (°C) | 190–230 | |
Tensile strength at yield (MPa) | 27.5 | |
Tensile strength at break (MPa) | 23 | |
Liquid nitrogen | Boiling point (°C) | −196 |
Density, Liquid @ BP, 1 atm (kg/m3) | 808.5 | |
Specific Gravity, Liquid (water = 1) @ 20 °C, 1 atm | 0.808 |
Factors | Coding | Actual Level | ||
---|---|---|---|---|
Low (−1) | Middle (0) | High (+1) | ||
Fiber immersion time (min) | A | 10 | 15 | 20 |
Fiber length (mm) | B | 1.5 | 3 | 4.5 |
Fiber orientation (°) | C | 0 | 45 | 90 |
Run | Code | Actual | ||||
---|---|---|---|---|---|---|
A | B | C | A | B | C | |
1 | −1 | 0 | −1 | 10 | 3 | 0 |
2 | 0 | −1 | −1 | 15 | 1.5 | 0 |
3 | 0 | 0 | 0 | 15 | 3 | 45 |
4 | −1 | 1 | 0 | 10 | 4.5 | 45 |
5 | −1 | 0 | 1 | 10 | 3 | 90 |
6 | 0 | −1 | 1 | 15 | 1.5 | 90 |
7 | 0 | 1 | −1 | 15 | 4.5 | 0 |
8 | −1 | −1 | 0 | 10 | 1.5 | 45 |
9 | 0 | 1 | 1 | 15 | 4.5 | 90 |
10 | 0 | 0 | 0 | 15 | 3 | 45 |
11 | 1 | −1 | 0 | 20 | 1.5 | 45 |
12 | 1 | 0 | 1 | 20 | 3 | 90 |
13 | 0 | 0 | 0 | 15 | 3 | 45 |
14 | 1 | 0 | −1 | 20 | 3 | 0 |
15 | 1 | 1 | 0 | 20 | 4.5 | 45 |
Run | Factors | Average Flexural Strength (MPa) | Average Flexural Modulus (MPa) | ||
---|---|---|---|---|---|
A | B | C | |||
1 | 10 | 3 | 0 | 63.87 | 1326.7 |
2 | 15 | 1.5 | 0 | 55.7 | 2630 |
3 | 15 | 3 | 45 | 58.6 | 1409 |
4 | 10 | 4.5 | 45 | 46.8 | 1540 |
5 | 10 | 3 | 90 | 45.3 | 345 |
6 | 15 | 1.5 | 90 | 44.1 | 240 |
7 | 15 | 4.5 | 0 | 78.43 | 3426.7 |
8 | 10 | 1.5 | 45 | 62.6 | 439.7 |
9 | 15 | 4.5 | 90 | 47.9 | 658 |
10 | 15 | 3 | 45 | 59.1 | 1400.2 |
11 | 20 | 1.5 | 45 | 45.27 | 1079.7 |
12 | 20 | 3 | 90 | 50.5 | 1283.3 |
13 | 15 | 3 | 45 | 58.27 | 1403.3 |
14 | 20 | 3 | 0 | 63.5 | 2740 |
15 | 20 | 4.5 | 45 | 50.43 | 1680 |
Source | Sum of Squares | df | Mean Square | F-Value | p-Value Prob > F | Note |
---|---|---|---|---|---|---|
Model | 692.22 | 3 | 230.74 | 3.84 | 0.0419 | significant |
A-Cryogenic Immersion | 1.03 | 1 | 1.03 | 0.017 | 0.8982 | |
B-Fiber length | 12.23 | 1 | 12.23 | 0.20 | 0.6606 | |
C-Fiber orientation | 678.96 | 1 | 678.96 | 11.30 | 0.0063 | significant |
Residual | 660.66 | 11 | 60.06 | |||
Pure Error | 0.26 | 2 | 0.13 | |||
Mean | 53.75 | |||||
R-Squared | 0.5117 | |||||
Adj R-Squared | 0.3785 | |||||
Pred R-Squared | −0.0427 | |||||
Model Precision | 5.222 |
Calculation Run | Factor Entry | Calculated Flexural Strength (MPa) | ||
---|---|---|---|---|
Fiber Immersion Time (min) | Fiber Length (mm) | Fiber Orientation (°) | ||
1 | 10 | 32 | 0 | 87 |
2 | 10 | 14.14 | 45 | 63 |
3 | 10 | 10 | 90 | 51 |
Source | Sum of Squares | df | Mean Square | F-Value | p-Value Prob > F | Note |
---|---|---|---|---|---|---|
Model | 9.503 × 106 | 3 | 3.168 × 106 | 17.08 | 0.0002 | significant |
A-Cryogenic Immersion | 1.226 × 106 | 1 | 1.226 × 106 | 6.61 | 0.0260 | significant |
B-Fiber length | 1.062 × 106 | 1 | 1.062 × 106 | 5.73 | 0.0357 | significant |
C-Fiber orientation | 7.214 × 106 | 1 | 7.214 × 106 | 38.90 | <0.0001 | significant |
Residual | 2.040 × 106 | 11 | 1.855 × 105 | |||
Pure Error | 39.85 | 2 | 19.92 | |||
Mean | 1440.11 | |||||
R-Squared | 0.8233 | |||||
Adj R-Squared | 0.7750 | |||||
Pred R-Squared | 0.6218 | |||||
Model Precision | 12.060 |
Calculation Run | Factor Entry | Calculated Flexural Modulus (MPa) | ||
---|---|---|---|---|
Fiber Immersion Time (min) | Fiber Length (mm) | Fiber Orientation (°) | ||
1 | 10 | 32 | 0 | 9043 |
2 | 10 | 14.14 | 45 | 3755 |
3 | 10 | 10 | 90 | 1799.6 |
4 | 15 | 32 | 0 | 9435 |
5 | 15 | 14.14 | 45 | 4146.5 |
6 | 15 | 10 | 90 | 2191.1 |
7 | 20 | 32 | 0 | 9826.5 |
8 | 20 | 14.14 | 45 | 4537.9 |
9 | 20 | 10 | 90 | 2582.5 |
Trial | Flexural Strength (MPa) | Flexural Modulus (MPa) | ||
---|---|---|---|---|
Confirmation | Predictive | Confirmation | Predictive | |
1 | 70.3 | 64 | 3200 | 3145.6 |
2 | 74 | 3580 | ||
3 | 64.3 | 3170 | ||
Average | 69.5 | 3316 |
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Nugroho, G.; Budiyantoro, C. Optimization of Fiber Factors on Flexural Properties for Carbon Fiber Reinforced Polypropylene. J. Compos. Sci. 2022, 6, 160. https://doi.org/10.3390/jcs6060160
Nugroho G, Budiyantoro C. Optimization of Fiber Factors on Flexural Properties for Carbon Fiber Reinforced Polypropylene. Journal of Composites Science. 2022; 6(6):160. https://doi.org/10.3390/jcs6060160
Chicago/Turabian StyleNugroho, Gesang, and Cahyo Budiyantoro. 2022. "Optimization of Fiber Factors on Flexural Properties for Carbon Fiber Reinforced Polypropylene" Journal of Composites Science 6, no. 6: 160. https://doi.org/10.3390/jcs6060160