Theory of Yarn Structures

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Contents:
Compression of fibrous assemblies : C. M. van Wyk’s theory, generalization of van wyk’s theory, comparison between theoretical and experiment results
Pores among fibres : Pores and their characteristics, relationship between fibers and pores, types of pores, applications
Orientation of fibres : Orientation vector, isotropic fibre orientation, model of anisotropic fibre orientation, orientation of fibres in three-dimensional sections, mechanical behaviour.

Mechanics of parallel fibre bundles : Hamburger’s model, tensile behavior of fibre bundles considering different mechanical properties of fibers, examples
Modelling of intern al yarn geometry : General description of fibers in yarns, helical model of yarn, yarn retraction in ideal helical model, yarn stress-strain relation, model of radial fibre migration, model of equidistant migration, comparison between theoretical and experimental results,

Relations among yarn count, twist, packing density, and diameter : Koechlin’s concept, empirical corrections to Koechlin’s theory, mechanistic model, comparison between theoretical and experimental results
A stochastic model of yarn hairiness : Hairiness sphere, single exponential model, double exponential model, comparison between theoretical and experimental results

Bundle theory of yarn unevenness : Martindale’s theory of unevenness, theory of fibre bundles, comparison between theoretical and experimental results
Yarn strength as stochastic process : Peirce’s model of yarn strength, SEMG stochastic model of yarn strength, comparison between theoretical and experimental results

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