For a glass fiber–epoxy matrix combination, the critical ratio of fiber length to fiber diameter is 50. Using the data in Table 15.4, determine the fibermatrix bond strength.
Table 15.4 Characteristics of Several Fiber-Reinforcement Materials
Material | Specific Gravity | Tensile Strength [GPa (106 psi)] | Specific Strength (GPa) | Modulus of Elasticity [GPa (106 psi)] | Specific Modulus (GPa) |
Whiskers | |||||
Graphite | 2.2 | 20 (3) | 9.1 | 700 (100) | 318 |
Silicon nitride | 3.2 | 5–7 0.75–1.0) | 1.56–2.2 | 350–380 (50–55) | 109–118 |
Aluminum oxide | 4.0 | 10–20 (1–3) | 2.5–5.0 | 700–1500 (100–220) | 175–375 |
Silicon carbide | 3.2 | 20 (3) | 6.25 | 480 (70) | 150 |
Fibers | |||||
Aluminum oxide | 3.95 | 1.38 (0.2) | 0.35 | 379 (55) | 96 |
Aramid (Kevlar 49) | 1.44 | 3.6–4.1 (0.525–0.600) | 2.5–2.85 | 131 (19) | 91 |
Carbona | 1.78–2.15 | 1.5–4.8 (0.22–0.70) | 0.70–2.70 | 228–724 (32–100) | 106–407 |
E-glass | 2.58 | 3.45 (0.5) | 1.34 | 72.5 (10.5) | 28.1 |
Boron | 2.57 | 3.6 (0.52) | 1.40 | 400 (60) | 156 |
Silicon carbide | 3.0 | 3.9 (0.57) | 1.30 | 400 (60) | 133 |
UHMWPE (Spectra 900) | 0.97 | 2.6 (0.38) | 2.68 | 117 (17) | 121 |
Metallic Wires | |||||
High-strength steel | 7.9 | 2.39 (0.35) | 0.30 | 210 (30) | 26.6 |
Molybdenum | 10.2 | 2.2 (0.32) | 0.22 | 324 (47) | 31.8 |
Tungsten | 19.3 | 2.89 (0.42) | 0.15 | 407 (59) | 21.1 |
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