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Abstract

A theoretical analysis is presented of the load-elongation behavior of a crimped filament, whose axes lie in a two-dimensional plane. The crimp shapes considered are ideal and very closely related to those produced by some texturing processes.

A second order nonlinear differential equation describes the deformed shape of the crimped filament, which is subjected to a terminal load in its axial direction. Numerical solution of the equation uses Maclaurin's series. The analysis describes the deformed shape and the load-elongation behavior of two-dimensional crimps. such as zigzag, gear-tooth, semicircular, and knit-de-knit crimps.

The theoretical analysis is verified experimentally by heat setting polyester and nylon 6 monofilaments in zigzag and gear-tooth crimps of different amplitudes and wavelengths. The values obtained from the theoretical analysis have excellent cor relation with the experimental results.

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Load-Deformation Behavior of Two-Dimensional Crimped Filaments

Abstract

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