The remanent curvature after a bending strain has been imposed is usually greater for a yarn than for a single filament taken from the yarn. Assuming that the differences originate with filament-filament frictional forces, this article derives quantitative estimates of these effects, using supporting experimental data. The yarn deficiency angle Δβ, is found to be proportional to the fiber-fiber friction coefficient μ and inversely proportional to the fiber modulus E.
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References
1.
Stuart, I.M. and Mann, R.K., An Investigation of Cloth Bending. Part II: The Remanent Curvature Hypothesis, Textile Res. J.37, 613-618 (1967).
2.
Prevorsek, D.C. , Butler, R.H., and Lamb, G.E.R., Influence of Fiber Properties on Wrinkling Behavior of Fabrics. Part I: Procedures and Apparatus, Textile Res. J.45, 60-66 (1975).