Question

Two composite materials were suggested to be used for specific application under isostrain condition. The first composite material consists of 20% aramid fibers (modulus of elasticity:19×106 psi) and 80% polycarbonate matrix (modulus of elasticity: 3.5×105 psi). The second composite material consists of unidirectional carbon-fiber reinforced –plastic. 20% fiber (modulus of elasticity: 55×106 psi) and 80% matrix (modulus of elasticity: 0.5×106 psi).

a) If the application requires modulus of elasticity to be not less than 11×106 psi. Which composite material do you pick?

Answer #1

( Calculate the modulus of elasticity of a
fiber-reinforced polymer composite under isostrain condition if the
composite consists of 35% fibers and 65% polymer by volume. Also,
calculate the percentage of load carried by the fibers. The modulus
of elasticity of the fibers and the polymer are 345 GPa and 3.5
GPa, respectively .

3. Composites with fiber-reinforced structures with continuous
and aligned fiber properties are made of 45 vol% aramid fiber and
55 vol% polycarbonate matrix. The mechanical characteristics of the
two materials can be shown in the following table
Modulus of Elasticity [GPa (psi)]
Tensile Strength [MPa (psi)]
Aramid fiber
131 (19 × 106)
3600 (520000)
Polycarbonate
2.4 (3.5 × 105)
65 (9425)
When the aramid fiber breaks, the stress on the polycarbonate
matrix will be 35 MPa (5075 psi). Determine it...

Please round to the nearest one hundredth (i.e., 0.01).
Calculate the modulus of elasticity of a fiber-reinforced polymer
composite under isostrain condition if the composite consists of
55% fibers and 45% polymer by volume. The modulus of elasticity of
the fibers and the polymer are 50000000 psi and 600000 psi,
respectively. 1. Modulus of elasticity of the composite = Answer
psi 2. Determine the percentage of load carried by the fibers =
Answer %

For a continuous and oriented fiber-reinforced composite, the
moduli of elasticity in the longitudinal and transverse directions
are 19.7 and 3.66 GPa (2.8×106 and 5.3×105 psi), respectively. If
the volume fraction of fibers is 0.38, determine the moduli of
elasticity of fiber and matrix phases.

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