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This is how the stress on an
individual fibre varies with strain
This is how the stress on a matrix
on its own varies with strain
The composite stress is given by the rule of mixtures up
to εfu
\[ \sigma _{1} =f\sigma _{f}+(1-f)\sigma _{m}\]
Fibre fracture
On exceeding εfu
the fibres
fracture into shorter lengths,
leading to an increase in strain at constant composite stress.
If the matrix fails before the entire load is transferred
to the matrix, then this is the composite failure stress. \[ \sigma
_{1u} =f\sigma _{fu}+(1-f)\sigma _{mfu}\]