Difference between revisions of "Yarnstrength"

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m (New page: === Tensile Strength Formula from M. Zhang et al. (2004) === The formula for the tensile strength <math>\sigma_y</math> of the yarn relative to the tensile strength <math>\sigma_f</math> o...)
 
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=== Tensile Strength Formula from M. Zhang et al. (2004) ===
 
=== Tensile Strength Formula from M. Zhang et al. (2004) ===
The formula for the tensile strength <math>\sigma_y</math> of the yarn relative to the tensile strength <math>\sigma_f</math> of the fiber given in [[Ser_1_1#Multifunctional Carbon Nanotube Yarns by Downsizing an Ancient Technology|M. Zhang et al. (2004)]] is:
+
The formula for the tensile strength <math>\sigma_y</math> of the yarn relative to the tensile strength <math>\sigma_f</math> of the fiber given in [[SER_1_1#Multifunctional Carbon Nanotube Yarns by Downsizing an Ancient Technology|M. Zhang et al. (2004)]] is:
  
 
<math>\sigma_y/\sigma_f = \cos^2 \alpha (1 - k/\sin\alpha)</math>,
 
<math>\sigma_y/\sigma_f = \cos^2 \alpha (1 - k/\sin\alpha)</math>,

Revision as of 20:28, 19 March 2009

Tensile Strength Formula from M. Zhang et al. (2004)

The formula for the tensile strength <math>\sigma_y</math> of the yarn relative to the tensile strength <math>\sigma_f</math> of the fiber given in M. Zhang et al. (2004) is:

<math>\sigma_y/\sigma_f = \cos^2 \alpha (1 - k/\sin\alpha)</math>,

with

<math>k=\sqrt(dQ/\mu)</math>,

where <math>\alpha</math> is the tilt of the fibers to the yarn axis, d the fiber diameter, Q the 'migration length', that is the length scale on which a fiber goes from the yarn's surface to the interior, L is the length of the fibers, and <math>\mu</math> the friction coefficient between the fibers.