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Materials for engineering, 3rd Edition - (Malestrom)

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202<br />

<strong>Materials</strong> <strong>for</strong> <strong>engineering</strong><br />

6.4.2 The tensile strength of fibre composites (σ c )<br />

Aligned, continuous fibre composites<br />

We will assume that the fibres and the matrix possess a similar Poisson ratio<br />

and that they are well-bonded so that they de<strong>for</strong>m together. The load on the<br />

composite will be shared between the two components in proportion to<br />

their cross-sectional areas. There are two possibilities to consider: depending<br />

on whether the failure strain of the matrix is greater than or less than that of<br />

the fibre.<br />

If the failure strain of the matrix is less than the failure strain of the fibre<br />

(Fig. 6.11), at low values of f f , the failure stress of the composite, σ * c ,<br />

depends primarily on the failure strength of the matrix, σ * m . The matrix<br />

σ f<br />

*<br />

σ’ f<br />

Stress<br />

Fibre<br />

σ m<br />

*<br />

Resin<br />

Strain ε m<br />

*<br />

ε f<br />

*<br />

6.11 Stress–strain curves of fibre and matrix, with failure strain of<br />

matrix < that of fibre.

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