Treloar’s vision [J. Textile Inst. 56, T359-T380 (1965)] of an ideal fiber intersecting the cylindrical yarn at all radii with the same (mean) frequency is not accurate and consequently the derived model does not correspondent to reality. This paper introduces a modified model of radial fiber migration in yarns and it is shown that the length of a fiber increases equidistantly with the steps of radius and each fiber in the yarn approximately follows a conical path. The derived theoretical relations were found to be in acceptable agreement with the experimental observations.
Treloar, L. R. G. , A Migration Filament Theory of Yarn Properties , J. Textile Inst.56, T359-T380 (1965).
2.
Hearle, J. W. S. , Gupta, B. S. , and Merchant, V. B. , Migration of Fibers in Yarns, Part I: Characterization and Idealization of Migration Behavior , Textile Res. J.35, 329-334 (1965).
3.
Hearle, J. W. S. , and Gupta, B. S. , Migration of Fibers in Yarns, Part II: A Study of Migration in Staple Fiber Rayon Yarns , Textile Res. J.35, 788-788 (1965).
4.
Neckář, B., “Yarns,” SNTL, Prague, 1990 (in Czech).
5.
Hearle, J. W. S. , Grosberg, P. , and Backer, S. , “Structural Mechanics of Fibers, Yarns, and Fabrics, Volume 1,” John Wiley & Sons, New York , 1969.
6.
Stejskal, A., and Kašpárek, J., CSSR Patent No. 117179.
7.
Morton, W. E. , and Yen, K. C. , The Arrangement of Fibers in Fibro Yarns , J. Textile Inst.43, T60-T60 (1952).
8.
Soni, M. K., Internal Structure of Yarn, Ph.D. thesis, Technical University of Liberec, Czech Republic, 1979.
9.
Neckář, B. , and Soni, M. K. , Internal Structure of OE-Yarns from Viscose Fibers, Research Report No. PT2-XI.79, State Textile Research Institute, Liberec , 1979.
