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

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(P#320 for 0.5 min, P#500 for 1 min, P#1000 for 2 min and P#4000 for 4 min). Air-dried<br />

pieces were sawed into 4 mm long pieces, mounted on stubs using double-sided<br />

cellotape and coated three times with platinum [Agar high resolution sputter coater]. The<br />

coated samples were observed using a Philips XL30 ESEM scanning microscope. The<br />

<strong>fibre</strong> bundle transverse section area was determined with Image Pro s<strong>of</strong>tware.<br />

Calculation <strong>of</strong> composite composition and mechanical properties<br />

The laminate volumes vc were calculated based on average values <strong>of</strong> the thickness tc<br />

measured at 15 points, the length lc measured at 3 points and the width bc measured at 3<br />

points, where the subscript c denotes composite.<br />

v = t × b × lc<br />

Equation 5<br />

c c c<br />

The <strong>fibre</strong> weight in the laminates wf were calculated from the weight <strong>of</strong> <strong>fibre</strong>s wf,start in<br />

the prepared laminate with <strong>fibre</strong> length lf,start. The <strong>fibre</strong> length was reduced from lf,start to<br />

lc, when the laminates were cut into specimen length (lc=18 cm). The subscript f denotes<br />

<strong>fibre</strong>s.<br />

lc<br />

w f = w f , start ×<br />

Equation 6a<br />

l<br />

f , start<br />

In the <strong>composites</strong> with wound yarn (filament), wf was calculated using the number <strong>of</strong><br />

rotations/cm frame displacement nr, number <strong>of</strong> filaments pr. rotation ns and the filament<br />

linear density Tex<br />

w = 2 n × b × n × Tex × l )<br />

Equation 3b<br />

f<br />

( r c s ) ( c<br />

The matrix weight wm was calculated based on wc and wf, where the subscript m denotes<br />

matrix.<br />

w = w − w<br />

Equation 7<br />

m<br />

c<br />

f<br />

The volume fractions <strong>of</strong> matrix Vm and <strong>fibre</strong>s Vf were calculated based on the densities <strong>of</strong><br />

matrix ρm and <strong>of</strong> <strong>fibre</strong>s (ρf = 1.58 g/cm 3 ; Madsen, 2004; Thygesen, 2006).<br />

V<br />

V<br />

w<br />

f<br />

f = Equation 5a<br />

ρ f vc<br />

w<br />

m<br />

m = Equation 5b<br />

ρmvc<br />

Assuming that on a macroscopic scale a composite material can be divided into three<br />

components, <strong>fibre</strong>s, matrix and porosity, the volume fraction <strong>of</strong> porosity Vp (p denotes<br />

porosity) can be calculated as<br />

V = 1 −V<br />

−V<br />

Equation 6<br />

p<br />

m<br />

f<br />

The composite strain exerted during tensile testing ε was calculated as the average <strong>of</strong> two<br />

extensometer recordings. The tensile strength (ultimate stress) σcu and stress during<br />

testing σc were calculated as:<br />

F<br />

σ c =<br />

Equation 7a<br />

b × t<br />

c<br />

c<br />

The stiffness (E-modulus) <strong>of</strong> the <strong>composites</strong> Ec was calculated by linear regression <strong>of</strong> σc<br />

versus ε between 0% and 0.1%.<br />

126 Risø-PhD-11

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