15—The Mechanics of Twisted Yarns: Theoretical Developments

Abstract

The assumptions used in theoretical predictions of the tensile properties of twisted continuous-filament yarns are critically discussed. A modified theory, based on constant yarn volume during extension, is derived, and theoretical and experimental values of modulus are compared. Expressions for yarn extension and breakage at large extensions, and also taking account of deviations from Hooke’s law, are derived and compared with experimental results.