Fibres fibrillation

Crack Fibre Fibril Fracture Fracture toughness Interfaces Linear elastic fracture mechanics (LEFM) Nanotube Polymer fibre Stress intensity factor Tensile stress Weibull model Whisker... 

Other treatments to give specific fibre properties can also be performed -in particular various chemical treatments are used to control fibre fibrillation (e.g. as for the Tencel AlOO and Lenzing lyocell LF grades). 

Engineering Uses Fibres, fibrillated filaments, pipes, sheets, cable, chute linings, guard rail coatings. Commodity Applications Hot-filled food and meat packaging. 

The final important form of carbon is the carbon fibre formed from polyacrylonitrile (PAN), cellulose or pitch and which is finding increasing ase in fibre-teinfbrced Composites. The corrosion of carbon fibril in composites designed for use under high temperature conditions is currently a severe limitation on their use. 

Fig. 10 (a-f) Hierarchical self-assembly model for chiral rod-like units A curly tape (c ), a twisted ribbon (d ), a fibril (e ) and a fibre (f). Adapted from Aggeli et al. [20], Copyright 2001 National Academy of Sciences, USA... 

The twist of these aggregates determines the resulting structure. When ribbons stack into fibrils, and fibrils into fibres, packing considerations cause these twisted aggregates to bend and modify their twist with an elastic energy penalty8eiast- For fibrils, it can be shown that the afibrii per peptide in a fibril is ... 

For instance, Pn-2 forms ribbons at concentrations >0.1 mM in water. At 0.6 mM, these ribbons self-assemble into fibrils and at higher concentrations into fibres. Conversely, glutamine-rich Pn-1 (Ac-QQRQQQQQEQQ-Am) forms ribbons at 1 mM and does not form fibrils, even at concentrations as high as 25 mM. Association of Pn-2 into ribbons is much more favourable due to it having hydrophobic aromatic residues arranged such that there is a large disparity between the hydrophobicity of each of its tape faces. 

The polymer fibre is considered to be composed of a parallel array of identical fibrils. A single fibril is a series arrangement of domains with a varying angle to the fibre axis described by the orientation function p(Q) in the unloaded state. The strength of a domain is supposed to be given by... 

For the transformation of the macrocomposite model to a molecular composite model for the ultimate strength of the fibre the following assumptions are made (1) the rods in the macrocomposite are replaced by the parallel-oriented polymer chains or by larger entities like bundles of chains forming fibrils and (2) the function of the matrix in the composite, in particular the rod-matrix interface, is taken over by the intermolecular bonds between the chains or fibrils. In order to evaluate the effect of the chain length distribution on the ultimate strength the monodisperse distribution, the Flory distribution, the half-Gauss and the uniform distribution are considered. 

The individual collagen ropes are called fibrils, and have an average molecular weight of around 300 000 Daltons (atomic mass units), with a length of 260 nm and a diameter of 1.4-2.0 nm. In the collagen fibres which can be seen... 

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