
For transverse
loading of the composite, the components experience the same stress
and for this isostress situation the total transverse strain of the composite
is just the sum of the fiber strain and matrix strain. The strain is distributed
between the components on the basis of their volume fraction so that the
strain of the composite is given by: e_{C}
= e_{F}V_{F}
+ e_{M}(1  V_{F}). Combining
this result with Hooke's Law gives the transverse Young's modulus: E_{C }= (E_{F}
E_{M}) / {E_{F} (1  V_{F}) + E_{M}V_{F}}.
For this case also the value of Young's modulus can be controlled through
the fiber volume fraction The lower diagram shows how the longitudinal and transverse
values of the Composite Young's modulus depends on the fiber volume fraction.
In a realistic material only volume fractions between 5% and 80% are
of use. 












