Fibers and Fiber Bundles

Catalin R. Picu

doi:10.1017/9781108779920.003

2 - Fibers and Fiber Bundles

Published online by Cambridge University Press: 15 September 2022

Catalin R. Picu

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Catalin R. Picu: Affiliation:
Rensselaer Polytechnic Institute, New York

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Summary

Various types of fibers encountered in Network materials are presented and classified in this chapter. Their mechanical behavior is of primary concern here. The first section describes the structure and mechanical behavior of cellulose fibers, polymeric fibers used in nonwovens, and collagen fibers forming connective tissue. The remainder of the chapter is divided into three parts presenting the mechanical behavior of athermal fibers, thermal filaments, and of fiber bundles. The linear, nonlinear, and rupture characteristics of athermal fibers are presented. Thermal filaments, which form molecular networks such as elastomers and gels, are described by the Gaussian, Langevin, and self-avoiding random walk models. Models describing the mechanics of semiflexible filaments are presented. The section on the mechanics of fiber bundles presents a number of results relevant for bundles of continuous and discontinuous (staple) fibers, including the effect of bundle twisting and of packing on the axial stiffness and strength of the bundle. These results apply to many networks of practical importance which are composed from fiber bundles.

Keywords

athermal fibers Gaussian filaments Langevin filaments semiflexible filaments fiber stiffness fiber strength shear lag model fiber bundles bundle twisting bundle strength

Type: Chapter
Information: Network Materials
Structure and Properties
, pp. 13 - 73

DOI: https://doi.org/10.1017/9781108779920.003 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2022

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