Biomedical Engineering Reference
In-Depth Information
Epoxy
resin
Additional
resin
Machine
Carbon
fiber
Pre-preg
Final component
FIGUre 8.2
fabrication of composite bone plate.
the important principles, is that for a composite consisting of parallel
continuous fibers in a ductile matrix (Figure 8.3).
Such a composite has two different sets of mechanical properties,
depending on whether the external loads are applied
εf(parallel)
to the
fibers or
perpendicular
to them (in
serial
). In the following analysis, the
following terms will be used:
V
f
= the volume fraction of fiber in the composite
E
m
,
E
f
,
E
c
= the tensile elastic moduli of the matrix, fiber, and com-
posite (at some value of
V
f
), respectively
σ
u(f )
, σ
u(m)
= the ultimate tensile strengths of the fiber and the matrix,
respectively
σ
max
= maximum strength of the composite (at some value of
V
f
)
Modulus
(tensile)
100
E
f
f
m
E
(GPa)
σ
m
= σ
f
(series)
ε
m
= ε
f
εf(parallel)
50
E
c
=
V
f
E
f
+ (1-
V
f
)
E
m
(parallel)
E
m
E
f
(series)
S
E
c
=
E
m
V
f
E
m
+ (1-
V
f
)
E
f
V
f
V
f
´
0.2
0.4
0.6
0.8
V
f
FIGUre 8.3
tensile moduli of two-phase continuous fiber PmC.
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