Loading in parallel to the fibres

If the fibres are oriented parallel to the loading direction, their arrangement is called parallel connection, analogous to the connection of springs (figure 9.1(a)). Similar to springs connected in parallel, the deformation in the matrix (subscript m ) and in the fibre (subscript f ) must be the same, but the stress may differ  

By inspecting the geometry and defining the volume fractions /f and / , with 

Using this together with equation (9.1), we find that Young s modulus of the composite is 

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Fig. 9.1. Parallel connection of fibre and matrix 9.2.1 Loading in parallel to the fibres...

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