Abstract
To date, the structure and properties of loop fancy yarns with an extended structure have not been sufficiently explored. The aim of this paper is to develop a mathematical model describing the tensile load converted to one unit of linear density for a given yarn strain of a multiplied loop yarn that is the function of density of staple fiber length distribution, degree of fiber migration, slipping length, basic twist of component yarns, yarn twist, tensions stretching single component yarns and friction forces generated in component yarns. The derived mathematical relationships make it possible to objectively control the usable properties of yarns with extended surfaces.
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