A Continuum Mechanics Approach to Twisted Yarns

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Abstract
A new formulation of the mechanics of deformation of continuous filament textile yarns has been carried out which utilizes the concepts of classical continuum mechanics, particularly the stress tensor. The stresses acting on a fiber are divided into a tensile stress T acting along its axial direction, and compressive stresses Pn and Pb acting in the direction of the normal and binormal vectors of the equivalent space curve. The resulting expressions for the stress distribution in the yarn and the applied tensile force and torque are more general than those derived by earlier researchers.

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