Structure of Spun Yarn and Its Mechanical Non-linear Property in Initial Region of Tensile Deformation

Part 2: Theory of Initial Tensile Deformation of Spun Yarn

Abstract

A model of the mechanical structure of spun yarn is assumed on the basis of the analysis reported on in a previous part I. On this assumption, a mathematical formula is derived to express the non-linear tensile property of spun yarn as a function of the tensile property of fibers and variables of yarn structure, such as the distribution of fiber segments, diameter shrinkage function, yarn twist and the number of fibers in yarn. Experimental data are presented to verify this theory.