Tensile strength is one of the most im porta nt mechanical properties
of structural short fibre composites, and its prediction is essential
for composite design. This paper develops a strength theory for three-
dimensionally oriented short fibre-reinforced composites. The contribu
tion of direct fibre strengthening to the composite strength is derive
d using a maximum-load composite failure criterion. Other strengthenin
g mechanisms, such as residual thermal stress, matrix work hardening a
nd short fibre dispersion hardening are also incorporated into the cal
culation of composite strength. In the derivation of direct fibre stre
ngthening, the strain and stress of short fibres with different inclin
ation angles were first derived, and the direct fibre strengthening wa
s calculated from the maximum total load these short fibres can carry
in the composite loading direction.