16—A THEORY OF THE STRESS–STRAIN PROPERTIES OF CONTINUOUS-FILAMENT YARNS

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Abstract
The problem considered is the interpretation of the tensile properties of twisted continuous-filament yams in terms of their geometrical structure and the properties of the constituent filaments. The theory developed for this purpose has the following principal features. (1) It is a large-strain theory, (2) Constancy of volume is assumed for both filaments and yarn during deformation. (3) The analysis is carried out in terms of the strain-energy of the system; this leads to a more tractable mathematical treatment than the customary stress-analysis method. (4) The material properties are introduced in the form of the complete stress-strain curve of the filament material, without any approximations. (5) The stress-strain curve of the yarn, over the whole range of extension, is calculated. Stress-strain data for Tenasco yarns show very close agreement with the theoretical curves, except in the region of small extensions and high twists. For a critical examination of the general applicability of the theory, however, comparable data for other materials would be required.

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