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Properties of hemp fibre polymer composites -An optimisation of ...

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structure, which made much higher <strong>fibre</strong> contents possible (>55% v/v; Figure 33f;<br />

Unpublished data).<br />

Vf, max [% v/v]<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

0.1 1 10 100 1000<br />

Fibre area [10 3 μm 2 ]<br />

Figure 34. Obtainable <strong>fibre</strong> content with the applied <strong>fibre</strong> types versus the <strong>fibre</strong>s<br />

transverse section area.<br />

9.2.2 Modelling <strong>of</strong> porosity content and <strong>fibre</strong> content<br />

The porosity content in the <strong>composites</strong> is presented in Paper IV and modelled versus<br />

volume fraction <strong>of</strong> <strong>fibre</strong>s in Appendix B. The porosity content increased with increasing<br />

<strong>fibre</strong> content, due to <strong>fibre</strong> lumens and to voids at the <strong>fibre</strong>-matrix interface (Figure 35). It<br />

seemed reasonable to assume a linear relationship between the porosity content and Vf<br />

and Vm. The porosity constant αf could be determined by linear regression <strong>of</strong> Vp versus<br />

Vf.<br />

Wf<br />

ρm<br />

V f =<br />

Wf<br />

ρm<br />

( 1+<br />

α f ) + ( 1−<br />

Wf<br />

) ρ f ( 1+<br />

αm<br />

)<br />

( 1−<br />

W f ) ρ f<br />

( 1−<br />

W f ) ρ f<br />

Vm<br />

= V f =<br />

W f ρm<br />

W f ρm<br />

( 1+<br />

α f ) + ( 1−<br />

Wf<br />

) ρ f ( 1+<br />

αm<br />

)<br />

V = α V + α V<br />

p<br />

f<br />

f<br />

m<br />

m<br />

Expression for the regression line for determination <strong>of</strong> αf:<br />

= a ⋅V<br />

+ b<br />

Vp f<br />

The <strong>hemp</strong> <strong>fibre</strong>s produced by fungal treatment were found to fit with αf similar to αf for<br />

<strong>hemp</strong> yarn (0.12-0.16 v/v), and the raw <strong>hemp</strong> bast with αf similar to αf for water retted<br />

<strong>hemp</strong> (0.26-0.28 v/v; Table 7; unpublished data). For <strong>hemp</strong> yarn and fungal defibrated<br />

<strong>hemp</strong> <strong>fibre</strong>s, αf was larger than for the glass <strong>fibre</strong>s (0.03 v/v) due to <strong>fibre</strong> lumens in<br />

<strong>hemp</strong> <strong>fibre</strong>s. In water retted <strong>hemp</strong> and raw <strong>hemp</strong> bast, αf was even larger due to<br />

epidermis cells with large lumens and poor impregnation <strong>of</strong> these very large <strong>fibre</strong><br />

bundles. It seemed reasonable to use αm = 0.005 v/v since there is high uncertainty on Vp<br />

for <strong>fibre</strong> volume fractions below 10% and since small air bubbles were observed in the<br />

epoxy matrix (Figure 35; unpublished data).<br />

Risø-PhD-11 53

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