A mathematical model of a tubular fiber is analyzed to predict its rigidity and some of its physical properties which are essential in textiles. The change in the properties of a tubular fiber with increase in the size of hollow core is considered and compared with the cylindrical fiber of the same
Mechanics of the extension of cotton fibers. II. Theoretical modeling
β Scribed by J. W. S. Hearle; J. T. Sparrow
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 776 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0021-8995
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β¦ Synopsis
Abstract
A preliminary analysis of deconvolution of a nylon model is given. This is then developed to give the available deconvolution strain in cotton. The total extension is then given by adding the fibrillar strain and is compared with experimental values of breaking extension. The relation between convolution extension and stress is calculated in terms of structural and mechanical parameters. An earlier analysis derived cotton fiber modulus in terms of fibril extension and volume change. A new analysis shows that the introduction of shear resistance does not have a significant effect when rotation is prevented. However, false untwisting can occur at the helix reversal in cotton fibers. An analysis which allows for this rotation shows a strong dependence on shear modulus as well as fibril extension and helix angle. There is no volume change.
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