Load-Deformation Behavior of Two-Dimensional Crimped Filaments

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.