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Load-Deformation Behavior of Two-Dimensional Crimped Filaments

Department of Textile Engineering, Auburn University, Alabama 36849, U.S.A.

Aly El-Shiekh

School of Textiles, North Carolina State University, Raleigh, North Carolina 27650, U.S.A.

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.

Textile Research Journal, Vol. 52, No. 10, 621-632 (1982)
DOI: 10.1177/004051758205201003


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