Strength and Elongation of a Staple Yarn:Part 1 : Staple Yarn Composed of Uniform Fibers and Twisted under Optimum Condition
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The strength and elongation of a uniform staple yarn twisted under optimum twist have been studied theoretically and the following results obtained:<BR>(1) Under an optimum twist, the following expression has been obtained between θ<SUB>R1b</SUB> twist angle at yarn surface, and λ, ratio of broken fibers, when the yarn is broken:<BR>F(θ<SUB>R1b</SUB>)=0.0047645√D/√ωαβγL<SUB>0</SUB>μ{1-(υλ)<SUP>2</SUP>}{1+(1+λ)·ε<SUB>b</SUB>/2}<BR>where F(θ<SUB>R1b</SUB>)=1+2log(cosθ<SUB>R1b</SUB>)/tan<SUP>2</SUP>θ<SUB>R1b</SUB><BR>D, ω, L<SUB>0</SUB>, μ, ε<SUB>b</SUB>:Fiber denier, density, length, coefficient of friction and elongation at breakage.<BR>α, β, γ, μ:Constants.<BR>The optimum twist angle, θ<SUB>R1b</SUB>, is obtained where λ=0.95.<BR>(2) The elongation at yarn breakage, e<SUB>b</SUB>, is expressed as follows:<BR>e<SUB>b</SUB>≅ε<SUB>b</SUB>(1+λ)/2cosθ<SUB>R0</SUB>, thus it increases with twist, where θ<SUB>R0</SUB>:twist angle at yarn surface when yarn elongation is zero, <BR>(3) The strength at yarn breakage, F<SUB>b</SUB>, is<BR>F<SUB>b</SUB>=N T<SUB>b</SUB>cosθ<SUB>rb</SUB>=N(1+λ)√T<SUB>b</SUB>cosθ<SUB>rb</SUB>/2=(Strength of broken fibers+Frictional force of slipping fibers)cosθ<SUB>rb</SUB><BR>where N : Number of fibers in the cross section of a yarn.T<SUB>b</SUB>: Mean strength of fibers when yarn is broken.<BR>T<SUB>b</SUB>: Fiber strength at breakage.<BR>cosθ<SUB>rb</SUB>: Mean inclination of fibers to yarn axis when yarn is broken.
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関連論文
- Strength and Elongation of a Staple Yarn:Part 1 : Staple Yarn Composed of Uniform Fibers and Twisted under Optimum Condition
- Strength and Elongation of a Single Staple Yarn:Part2 : Single Staple Yarn Composed of Uniform Fibers and Twisted Beyond Optimum Twist