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effect of contiguity on shear elastic modulus of fibre reinforced ...

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20 Raluca Hohan, Liliana Bejan and Nicolae Ţăranu<br />

a<br />

b<br />

Fig. 11 – Self-c<strong>on</strong>sistent model: a – the c<strong>on</strong>stituents assemblage; b – variati<strong>on</strong><br />

<str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>shear</strong> <strong>modulus</strong> with <strong>fibre</strong> c<strong>on</strong>tent.<br />

5. Results and C<strong>on</strong>clusi<strong>on</strong>s<br />

A synthesis <str<strong>on</strong>g>of</str<strong>on</strong>g> all results for the <strong>shear</strong> <strong>modulus</strong> is presented in Fig. 12.<br />

Since the <strong>shear</strong> <strong>modulus</strong> is a matrix dominated property, it can be seen from<br />

<strong>shear</strong> <strong>modulus</strong> curve traced with the inverse rule <str<strong>on</strong>g>of</str<strong>on</strong>g> mixtures (Fig. 6) that the<br />

<strong>fibre</strong>s have a small c<strong>on</strong>tributi<strong>on</strong> to the <strong>shear</strong> <strong>modulus</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> the unidirecti<strong>on</strong>al <strong>fibre</strong><br />

<strong>reinforced</strong> polymer composites for low and medium <strong>fibre</strong> fracti<strong>on</strong>s.<br />

A large increase <str<strong>on</strong>g>of</str<strong>on</strong>g> the <strong>shear</strong> <strong>modulus</strong> is obtained for very high <strong>fibre</strong><br />

volume fracti<strong>on</strong>s impossible to be achieved with current fabricati<strong>on</strong> procedures,<br />

therefore a different <strong>fibre</strong>s architecture may be suggested when a significant<br />

<strong>shear</strong> <strong>modulus</strong> increase is required in a specific structural applicati<strong>on</strong>.<br />

Experimental verificati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> the results provided by the inverse rule <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

mixture reveals a significant disagreement with theoretical <strong>shear</strong> moduli values.<br />

This mismatch can be explained by the approximati<strong>on</strong>s introduced by the series<br />

model (Fig. 5), that does not accurately simulate the behaviour <str<strong>on</strong>g>of</str<strong>on</strong>g> unidirecti<strong>on</strong>al<br />

composites under <strong>shear</strong> loading.

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