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· For the best fiber utilization,
the second term, (Lc /2L), should be small i.e.: Lc <<
L.
· The fracture stress of a short-fiber
composite can be estimated by substituting the mean fiber stress value
for the fiber stress in the fracture expression for the continuous fiber composite.
· For a uniaxial short
fiber reinforced composite with Vf > Vmin , the fracture
stress is given by: σ*1C
= < σf
>Vf + (1 - Vf) σm' .
· The ratio
of the fracture strength of the short and continuous fiber reinforced composites
is given then by:
{ σ*1C(s) / σ*1C(c)} = [<σf > Vf+ (1 - Vf
) σm' ]/
[σf*Vf + (1 - Vf)σm']
· In the limit Vf-> 1 , this fracture stress ratio is given by:
{
σ*1C(s)
/ σ*1C(c)}
= [ 1 - (Lc / 2L)]
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