Elsevier

Polymer

Volume 26, Issue 2, February 1985, Pages 310-316
Polymer

Polymer paper
Elastic extension of an oriented crystalline fibre

https://doi.org/10.1016/0032-3861(85)90047-3Get rights and content

Abstract

The elastic extension of an oriented and crystalline fibre built up of rigid-rod chains is analysed. A formula for the stress-strain curve is derived. It is shown that the shape of the initial crystallite orientation distribution and the modulus for shear parallel to the chain direction are important factors determining the stress build-up during extension of the fibre. The relations predicted by this analysis agree well with the experimental data obtained from poly(p-phenylene terephthalamide) fibres.

References (10)

  • M.G. Northolt

    Polymer

    (1980)
  • L.R.G. Treloar

    Polymer

    (1960)
  • O. Kratky

    Kolloid Z.

    (1933)
  • O. Kratky et al.

    Z. Phys. Chem.

    (1937)
  • P.H. Hermans

    Physics and Chemistry of Cellulose Fibres

    (1949)
There are more references available in the full text version of this article.

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