Theoretical analysis is given for the "Brand and Backer bicomponent fiber model" with cross sections possessing certain well defined symmetry. The analysis excludes time-dependent effects but accommodates arbitrary stress-strain relationships. Closed form solutions are given for rectangular and elliptical cross sections for linearly elastic materials. Stress and strain distributions in the final configuration are obtained for rectangular cross sections.
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References
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Brand, R.H. and Backer, S., Mechanical Principles of Natural Crimp of Fiber, Textile Res. J.32, 39-49 (1962).
2.
Gupta, B.S. and George, W., "An Elementary Model of a Self Crimping Fiber," Papers Presented at the 163rd Meeting of the American Chemical Society, Division of Organic Coatings and Plastics Chemistry, Boston, 32, 269-281 (1972).
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Yang, W.L. and Yang, S.K., Analysis of the Curvature in Bicomponent Fibers with Complex Cross Sections , Textile Res. J.42, 298-300 (1972).
