Fig. 1.

Fig. 2.

Fig. 3.

Fig. 4.

Fig. 5.

Fig. 6.

Fig. 7.

Fig. 8.

Fig. 9.

Fig. 10.

Fig. 11.

Results of ANOVA
| For Tensile Test | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| S/N ratio: 35.75 | Average S/N Values | |||||||||
| Degrees of Freedom | Level 1 | Level 2 | Level 3 | Level 4 | Sum of Squares | Variance | F | Content of Contribution (%) | ||
| A-Matrix Type | 3 | 34.87 | 30.84 | 41.86 | 38.00 | 262.44 | 87.48 | 84.77 | 73.68 | |
| B-Fiber volume fraction % | 3 | 32.83 | 35.81 | 37.73 | 39.20 | 90.67 | 30.22 | 29.29 | 25.45 | |
| Error | 8 | 8.26 | 1.03 | 0.87 | ||||||
| Total | 14 | 361.36 | 118.73 | |||||||
| For Three-Point Bend Test | ||||||||||
| S/N ratio: 35.07 | Average S/N Values | |||||||||
| Degrees of Freedom | Level 1 | Level 2 | Level 3 | Level 3 | Sum of Squares | Variance | F | Content of Contribution (%) | ||
| A-Matrix Type | 3 | 32.64 | 29.86 | 39.34 | 38.44 | 250.54 | 83.51 | 346.5 | 91.56 | |
| B-Fiber volume fraction % | 3 | 33.45 | 34.56 | 35.67 | 36.60 | 22.38 | 7.46 | 30.94 | 8.18 | |
| Error | 8 | 1.93 | 0.24 | 0.26 | ||||||
| Total | 14 | 274.84 | 91.21 | |||||||
| For Drop Weight Test | ||||||||||
| S/N ratio: 59.97 | Average S/N Values | |||||||||
| Degrees of Freedom | Level 1 | Level 2 | Level 3 | Level 4 | Sum of Squares | Variance | F | Content of Contribution (%) | ||
| A-Matrix Type | 3 | 57.68 | 59.76 | 63.06 | 59.36 | 60.84 | 20.28 | 25.47 | 58.62 | |
| B-Fiber volume fraction % | 3 | 57.72 | 59.66 | 60.33 | 62.17 | 40.56 | 13.52 | 16.98 | 39.08 | |
| Error | 8 | 6.37 | 0.80 | 2.30 | ||||||
| Total | 14 | 107.77 | 34.60 | |||||||
| Hardness Test | ||||||||||
| S/N ratio: 36.44 | Average S/N Values | |||||||||
| Degrees of Freedom | Level 1 | Level 2 | Level 3 | Level 4 | Sum of Squares | Variance | F | Content of Contribution (%) | ||
| A-Matrix Type | 3 | 36.80 | 35.03 | 37.27 | 36.66 | 11.41 | 3.80 | 73.58 | 80.25 | |
| B-Fiber volume fraction % | 3 | 35.75 | 36.55 | 36.68 | 36.78 | 2.65 | 0.88 | 17.11 | 18.66 | |
| Error | 8 | 0.41 | 0.05 | 1.09 | ||||||
| Total | 14 | 14.48 | 4.74 | |||||||
Experimental design
| Experiment No. | A-Matrix Type | B-Fiber volume fraction % |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 2 | 1 |
| 3 | 3 | 1 |
| 4 | 4 | 1 |
| 5 | 1 | 2 |
| 6 | 1 | 3 |
| 7 | 1 | 4 |
| 8 | 2 | 2 |
| 9 | 2 | 3 |
| 10 | 2 | 4 |
| 11 | 3 | 2 |
| 12 | 3 | 3 |
| 13 | 3 | 4 |
| 14 | 4 | 2 |
| 15 | 4 | 3 |
| 16 | 4 | 4 |
S/N ratios of experimental results
| Experiment No | Tensile strength (MPa) | S/N | Flexural strength (MPa) | S/N | Maximum force in drop weight (N) | S/N | Hardness Shore D | S/N |
|---|---|---|---|---|---|---|---|---|
| 1 | 38 | 31.60 | 32 | 30.10 | 580.46 | 55.28 | 65 | 36.26 |
| 2 | 19 | 25.58 | 27 | 28.63 | 672.48 | 56.55 | 50 | 33.98 |
| 3 | 85 | 38.59 | 81 | 38.17 | 1189.23 | 61.51 | 70 | 36.90 |
| 4 | 60 | 35.56 | 70 | 36.90 | 752.70 | 57.53 | 62 | 35.85 |
| 5 | 54.39 | 34.71 | 41.98 | 32.46 | 698.43 | 56.88 | 69 | 36.76 |
| 6 | 63.07 | 36.00 | 46.58 | 33.36 | 738.55 | 57.37 | 71 | 36.96 |
| 7 | 72.16 | 37.17 | 53.79 | 34.61 | 1149.10 | 61.21 | 72 | 37.19 |
| 8 | 36.97 | 31.36 | 30.02 | 29.55 | 941.47 | 59.48 | 59 | 35.34 |
| 9 | 42.33 | 32.53 | 32.55 | 30.25 | 1111.40 | 60.92 | 59 | 35.36 |
| 10 | 49.48 | 33.89 | 35.57 | 31.02 | 1274.20 | 62.10 | 59 | 35.43 |
| 11 | 103.18 | 40.27 | 84.65 | 38.55 | 1356.80 | 62.65 | 74 | 37.34 |
| 12 | 153.27 | 43.71 | 98.3 | 39.85 | 1451.10 | 63.23 | 74 | 37.41 |
| 13 | 174.90 | 44.86 | 109.3 | 40.77 | 1750.80 | 64.86 | 74 | 37.42 |
| 14 | 69.90 | 36.89 | 76.47 | 37.67 | 957.99 | 59.63 | 69 | 36.75 |
| 15 | 85.73 | 38.66 | 91.15 | 39.20 | 976.86 | 59.80 | 71 | 36.99 |
| 16 | 110.60 | 40.88 | 100.1 | 40.01 | 1059.40 | 60.50 | 71 | 37.06 |
Regression equations for predicting the mechanical properties of composites
| Property | Regression Conditions W (Fiber volume fraction) | P (Strength parameter) | Regression Equation |
|---|---|---|---|
| Tensile | W1=1, W2=2, | P1=19, P2=38, P3=85, | y(W, P) =1.129898 ·W0.5408653, p0.9532715 |
| Three-point bending | W1=1, W2=2, | P1=32, P2=27, P3=81, P4=70 | y(W, P) =1.408406·W0.2568704·p0.9089538 |
| Drop weight | W1=1, W2=2, | P1=580.46, P2=672.48, P3=1189.23, P4=752.70 | y(W, P) =4.797744·W0.3307587·p0.7647516 |
| Hardness | W1=1, W2=2, | P1=65, P2=50, P3=70, P4=62 | y(W, P) =2.814354·W0.798804·P0.7526531 |
Experiment factors and levels
| Factors | 1. Level | 2. Level | 3. Level | 4. Level |
|---|---|---|---|---|
| A-Matrix | PP | PE | PA6 | PA12 |
| Type | ||||
| B-Fiber volume fraction % | 0* | 10 | 20 | 30 |
Mechanical properties of materials
| Materials | Density (kg/m3) | Tensile Strength (MPa) | Elastic Modulus (GPa) | Types | Producers |
|---|---|---|---|---|---|
| PP | 0.9 | 38 | 1.2 | EH251 | Petkim |
| PE | 0.95 | 24 | 1 | High density, B00552 | Petkim |
| PA6 | 1.13 | 85 | 2 | F223-D | Akulon |
| PA12 | 1.02 | 60 | 1.5 | AMN Black T6LD | Arkema Rilsamid |
| AF | 1.44 | 2800 | 60 | Short-cut fiber | Twaron |
Surface energies of polymers and aramid fiber
| Materials | Surface Energy (mN/m) | References |
|---|---|---|
| PP | 30–31 | [33–36] |
| PE | 30-31 | [33–36] |
| PA6 | 38 | [33, 35] |
| PA12 | 36 | [33, 35, 36] |
| AF | 51 | [37, 38] |
