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

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9 Composites reinforced with <strong>hemp</strong> <strong>fibre</strong>s<br />

9.1 Effect <strong>of</strong> <strong>fibre</strong> orientation on mechanical properties<br />

Plant <strong>fibre</strong> reinforced <strong>composites</strong> are generally made with randomly orientated <strong>fibre</strong>s or<br />

aligned <strong>fibre</strong>s. Composites with aligned <strong>fibre</strong>s are generally stronger and stiffer in the<br />

<strong>fibre</strong> direction than <strong>composites</strong> with randomly orientated <strong>fibre</strong>s.<br />

Both the strain and stress at which a composite fractures decrease when the <strong>fibre</strong> axis is<br />

inclined to increasing angles to the test direction. The composite tensile strength<br />

decreases by four times when the inclination angle to the <strong>fibre</strong> orientation is increased to<br />

26° (Figure 32; Madsen, 2004) while the composite stiffness only decreases by two<br />

times.<br />

Ultimate stress (MPa)<br />

200<br />

150<br />

100<br />

50<br />

0<br />

0 10 20 30 40 50 60 70 80 90<br />

Yarn angle (degrees)<br />

Figure 32. Ultimate stress <strong>of</strong> <strong>hemp</strong> yarn-PET <strong>composites</strong> with the yarn axis inclined at<br />

different angles to the test direction. The full lines are ultimate stress predicted from the<br />

maximum stress theory with a shear stress <strong>of</strong> 22 MPa. The dotted line is ultimate stress<br />

predicted from the Tsai-Hill criterion with a shear stress <strong>of</strong> 26 MPa (Madsen, 2004).<br />

The prediction <strong>of</strong> ultimate stress for <strong>composites</strong> at a given <strong>fibre</strong> angle to the test<br />

orientation (sq) is made with two models: the maximum stress theory and the Tsai-Hill<br />

criterion. The maximum stress theory characterises three modes <strong>of</strong> failure, which are<br />

defined by the three following equations developed by Stowell and Liu (1961):<br />

First mode: Failure is caused by tensile fracture <strong>of</strong> the <strong>fibre</strong>s, when the <strong>fibre</strong> angle is<br />

inclined with 0°-15°.<br />

σx<br />

σθ 2<br />

cos θ<br />

=<br />

50 Risø-PhD-11

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