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Noncommercial-Share Alike 2.0 Licence UK: England & Wales

https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

This is how the stress on an

individual fibre varies with strain

individual fibre varies with strain

This is how the stress on a matrix

on its own varies with strain

on its own varies with strain

The composite stress is given by the rule of mixtures up
to *ε*_{fu}
\[ \sigma _{1} =f\sigma _{f}+(1-f)\sigma _{m}\]

Fibre fracture

On exceeding *ε*_{fu}
the fibres

fracture into shorter lengths,

leading to an increase in strain at constant composite stress.

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. \[ \sigma
_{1u} =f\sigma _{fu}+(1-f)\sigma _{mfu}\]

Composite failure