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

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The relationship for composite tensile strength can be determined by substituting Ef with<br />

σf and substituting Em with σm(εu).<br />

( 1−W<br />

f ) σm( εu)<br />

( 1 Vp<br />

)<br />

σ ⎛W cu fσfu = ⎜ +<br />

ρ ⎜ c ρ<br />

⎝ f<br />

c<br />

ρm<br />

⎞<br />

⎟<br />

⎠<br />

−<br />

nσ<br />

( 1− Wf ) σm( εu) Wfρm + ( 1−Wf<br />

) ρ f<br />

W ( 1 ) ( 1 W ) ( 1 )<br />

σ ⎛W cu fσfu = ⎜ +<br />

ρ ⎜ c ρ<br />

⎝ f<br />

c<br />

ρm ⎞⎛<br />

⎟⎜<br />

⎟⎜<br />

⎠⎝ fρm + α f + − f ρ f + αm<br />

⎞<br />

⎟<br />

⎠<br />

( 1−Wf<br />

) σm( εu) Wf<br />

( ρm − ρ f ) + ρ f<br />

W ( 1 ) ( 1 W ) ( 1 )<br />

σ ⎛W cu fσ ⎞ ⎛<br />

⎞<br />

fu<br />

= ⎜ + ⎟× ⎜<br />

⎟<br />

ρ ⎜ c ρ f ρ ⎟ ⎜<br />

⎝ m ⎠ ⎝ fρm + α f + − f ρ f + α ⎟<br />

m ⎠<br />

78 Risø-PhD-11<br />

nσ<br />

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