Abstract
A mean-field model is presented that describes non-uniformities in the spatial distributionof fibres in networks and composites in terms of fluctuations in the local composition. Themean pore radius, specific surface area, lineal path function, and chord length probabilitydensity are expressed as functions of the fibre volume fraction within a heuristicformalism. The impact of statistical heterogeneities in the fibre distribution upon theelastic moduli is assessed within the semi-empirical Reuss–Voigt–Hill averagingscheme. Results from illustrative calculations suggest that such macroscopicallyaveraged material properties are particularly sensitive to variations in the mean poreradius.
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