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Geometri monofilamen yang dipilin (twisted monofilament Asumsi:

Geometri monofilamen yang dipilin (twisted monofilament Asumsi: terdiri atas banyak serat filamen sejajar sumbu monofilamen (Y). Central point of iner filament Aouter layer filaments Neutral zone layer filaments Compression area and strain area No filament miration

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Geometri monofilamen yang dipilin (twisted monofilament Asumsi:

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  1. Geometri monofilamen yang dipilin (twisted monofilament • Asumsi: • terdiri atas banyak serat filamen sejajar sumbu monofilamen (Y). • Central point of iner filament • Aouter layer filaments • Neutral zone layer filaments • Compression area and strain area • No filament miration • Monofilament volume constant through deformation

  2. twist Rn hn βn Δ L R0 h0

  3. Rn Rnt hn ln F kgf hnt lnt Twisted Twisted and strained

  4. A an Rn ln(β) αn n ln(α) βn ln() A’ 2πan 2πRn

  5. αnt hn hnt lnt() βnt lnt(α) 2πant 2πRnt After twisting and tensioning: α ln(ϴ) β ln(α) 2πan 2πRn

  6. Fibril length : Fibril strain : Stress in fibril

  7. F =  dF =  2 n ..rn drn.cos2 Rn 0 Tensional force in fibril axis: dW = 2 n ..rn drn.cos Fibril tensional force projection to monofilament axis: dF = dW cos  = 2 n ..rn drn.cos2 F =  dF =  2 n ..rn .drn.cos2 . Rn

  8. Tensional force in fibril axis: dW = 2 n..rnt.drnt.cosnt = 2 E.nt ..rnt drnt.cosnt Force projection to monofilament axis: d Fnt = d W.cosnt = 2 n..rnt.drnt.cos2nt = 2 E.nt ..rnt drnt.cos2n = E.2 {( secnt / secnt)( nt() + 1) – 1} rnt.cos2nt drnt 0 Fnt =  dFnt = E . nt().( hnt2 / 4).ln sec2.nt

  9. Stress in strained twisted monofilament (as the nominal stress) = Fnt / .Rn2 = (E . nt(). hnt2 .ln sec2.nt) / 4 .Rnt2 = (E . nt()).(nt2. ln ( 1 + nt-3 tan2nt) / tan2n = nt() . Fibril stress at neutral zone layer = (E . nt()).(nt2. ln ( 1 + nt-3 tan2nt) / tan2n

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