By M. Elices, J. Llorca

The belief for this ebook got here out of the EURESCO convention on excessive functionality Fibers: Euroconference on Fiber Fracture in 2000. some of the books which are at the moment to be had examine varied points of fiber processing, houses, or purposes, yet none are focussed at the fracture behaviour of fibers. This publication provides the mechancisms and versions of fiber fracture at the moment to be had for either normal and artificial fibers, and it's anticipated that more and more there'll be pass fertilization among the fields, commencing new frontiers in educational examine and extra aggressive items for undefined. It covers the next components of fiber fracture: ceramic fibers; glass fibers; carbon filters; metal fibers and skinny wires; polymeric fibers; and carbon nanotubes.

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0 GPa for Spectra 1000, and Smook et al. 6 GPa in fibres of 20 wm diameter and found that the ultimate strength was inversely proportional to the square root of its diameter. Extrapolation to zero diameter yields a strength of 25 GPa (Fig. 2) which equals the theoretical predictions. These authors also found that the fracture process in these fibres involves an activation energy of about 60 to 75 kJ mol-’ (well below the activation energy of a -C-C- bond, 368 kJ mol-’), which implies that the strength is mainly determined by the lateral bond strength between chains.

3 ) . These fibres can be tens of microns long but with diameters of only about 1 nm and with each end capped with half a fullerene molecule. Carbon nanotubes, formed of seamless cylindrical graphene layers, represent the ideal carbon fibre and should exhibit outstanding mechanical properties. Single-wall nanotubes, having a shell of only one atom in thickness, are considered 34 M. Elices and J. Llorca the basic structural unit. They are the building blocks of multi-wall nanotubes, containing several coaxial cylinders of increasing diameter about a common axis, and nanotube ropes, consisting of ordered arrays of single-wall nanotubes.

Keywords Crack; Fibre; Fibril; Fracture; Fracture toughness; Interfaces; Linear elastic fracture mechanics (LEFM); Nanotube; Polymer fibre; Stress intensity factor; Tensile stress; Weibull model; Whisker MODELS OF FIBRE FRACTURE 29 INTRODUCTION The aim of this paper is to provide a brief overview of some attempts to model fibre fracture and is intended to complement the next chapter by Hearle devoted to the phenomenology of fibre fracture. 'ILvo different approaches to modelling fibre fracture are presented: the atomistic approach, for those who use the tools of quantum mechanics, and the continuum approach that relies on continuum mechanics.

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