Question

A continuous and aligned carbon fiber-reinforced composite
consists of 60% by volume of high-strength carbon

fibers having a tensile strength of 3.9 GPa reinforced in a
polyester resin that, when hardened, displays a tensile

strength of 50 MPa. What is the tensile strength of this composite
in the longitudinal direction?

Answer #1

*Solution:*

- Volume fraction of high carbon steel, V1 = 0.60
- Volume fraction of the reinforced polymer resin, V2 = 0.30
- Tensile strength of high carbon steel, = 3.9 GPa
- Tensile strength of reinforced polymer resin, = 50 MPa = 0.050 GPa (1MPa = 1000 GPa)

Therefore, he tensile strength of this composite in the longitudinal direction is given by

for a continuous and aligned Kevlar-29 fiber-reinforced
composite, the modulus elasticity in the longitudinal direction is
19 GPa and the modulus of elasticity in the transverse direction is
7.7 GPA. if the volume fraction of fibers is 0.40, what is the
modulus of elasticity for the fiber phase?

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...

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.

A fiber-reinforced composite material has moduli of elasticity
in the longitudinal and transverse directions of 6.9 GPa and 3.5
GPa, respectively. If fibers make up 25% of the composite volume
and 56% of them are oriented in the longitudinal direction, find
the moduli of elasticity of the fiber and matrix phases. Assume
that all fibers not oriented in the longitudinal direction are
oriented transversely.

Consider a UD carbon fiber reinforced epoxy composite (Ef = 240
GPa, Em = 8 GPa) subjected to axial and transverse tensile
loads.
1. Plot the variation of E1 and E2 with fiber volume fraction
(vf).

A unidirectional composite is made up of:
25 volume % of fiber type 1 (E = 300 GPa, Poisson's ratio n =
0.25), 25 volume % of fiber type 2 (E = 100GPa, Poisson's ratio n =
0.25), and 50 volume % of a matrix (E = 60 GPa and n = 0.30). The
tensile strength of fiber type 1 is 500MPa, that of fiber type 2 is
100MPa, and that of the matrix is 200MPa. Draw a tensile stress-...

A composite is made of 60% by volume C-glass fibers aligned in
epoxy. On page 407 of the text, it is identified that when the
material is subject to force along the axis of the fibers, the
material undergoes isotress loading and the modulus is given by
Equation 12.13. When subject to forces at right angles to the
fibers, the material is subject to isostress loading, which has a
modulus Ec = Em Ef /( vmEf + vfEm ) ....

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