Abstract
The finite creep deformation of a two-ply filament yarn subjected to axial forces and twisting moments at both ends has been investigated. Each filament in the yarn is treated as a linearly viscoelastic slender curved rod. Analysis is based on the theory of finite deformation of slender curved rods. The extensional relaxation modulus of the filament is derived from a model of a three-element solid. Poisson's ratio is regarded as constant., Geometrical nonlinearity is introduced by reductions in the helical angle and cross section of the filament. Two problems have been considered— namely, the extension of a yarn with fixed ends, and the extension of a yarn with free ends. Effects of initial helical angle and of the superposition of a twisting moment on the axial extension of the yarn have also been included in the study.
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