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

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Second mode: Failure is controlled <strong>of</strong> shear forces between the <strong>fibre</strong>s and not the <strong>fibre</strong><br />

strength when the <strong>fibre</strong> angle is inclined with 15°-40°.<br />

τ<br />

σ θ =<br />

xy<br />

sinθ cosθ<br />

where τ is shear stress in <strong>hemp</strong> yarn (26 MPa; Madsen, 2004).<br />

Third mode: Tensile failure normal to <strong>fibre</strong>s.<br />

σ<br />

θ =<br />

sin<br />

y<br />

σ 2<br />

θ<br />

The maximum stress theory is in agreement with results for <strong>composites</strong> with carbon<br />

<strong>fibre</strong>s and epoxy resin. The Tsai-Hill criterion takes these three failure mechanisms into<br />

account in a more complex expression based on the composite strength in the <strong>fibre</strong><br />

direction, perpendicular to the <strong>fibre</strong> direction and the shear stress between <strong>fibre</strong>s and<br />

matrix. This expression is based on the maximum distortion energy and is defined by the<br />

equation below (Tsai, 1968).<br />

2 2 2<br />

4<br />

2 2<br />

1 cos θ ( cos θ − sin θ)<br />

sin θ cos θ sin θ<br />

=<br />

+ +<br />

2<br />

2<br />

2<br />

2<br />

σ<br />

σ<br />

σ τ<br />

θ<br />

x<br />

y<br />

in which the ultimate composite strength has been found to fit well with the three failure<br />

modes described above and with data for <strong>hemp</strong> yarn reinforced <strong>composites</strong> (Figure 32;<br />

Madsen, 2004).<br />

9.2 Composition <strong>of</strong> the formed <strong>composites</strong><br />

The <strong>hemp</strong> <strong>fibre</strong> reinforced <strong>composites</strong> were observed using scanning electron<br />

microscopy in order to see the <strong>fibre</strong>s shape, size and impregnation with the epoxy-matrix<br />

(Figure 33). This figure shows the <strong>fibre</strong>s (light grey area), the matrix (dark grey area)<br />

and the air filled voids mentioned as porosity (black area).<br />

There appeared to be porosity inside the <strong>fibre</strong> bundles and inside the epidermis on the<br />

<strong>fibre</strong> bundle surfaces <strong>of</strong> raw <strong>hemp</strong> bast and water retted <strong>hemp</strong> <strong>fibre</strong>s when these were<br />

used as reinforcement <strong>of</strong> <strong>composites</strong>. Debonding between <strong>fibre</strong>s and matrix had therefore<br />

occurred which generally results in reduced mechanical properties. The <strong>hemp</strong> <strong>fibre</strong>s that<br />

were defibrated by cultivation <strong>of</strong> P. radiata Cel 26 appeared well impregnated with<br />

epoxy and no porosity could be observed on the <strong>fibre</strong> bundle surfaces. The same<br />

appearance was observed on the <strong>composites</strong> with <strong>hemp</strong> <strong>fibre</strong>s defibrated by cultivation<br />

<strong>of</strong> C. subvermispora (Paper IV), showing that the fungal defibration resulted in good<br />

impregnation <strong>of</strong> the <strong>fibre</strong>s.<br />

The <strong>composites</strong> with barley straw contained much larger <strong>fibre</strong> lumens resulting in higher<br />

porosity content than in the <strong>hemp</strong> <strong>fibre</strong> <strong>composites</strong>. Large areas with no contact between<br />

matrix and <strong>fibre</strong>s were observed, which resulted in very low composite strength<br />

perpendicular to the <strong>fibre</strong> axis (unpublished data).<br />

Risø-PhD-11 51<br />

xy

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