Unified theory for structural statistics of flocculated and random fibre networks
William Wyatt Sampson · Research Explorer (The University of Manchester) · 2008
Theory is presented for the influence of sheet uniformity on several structural parameters of paper and general classes of planar stochastic fibrous materials. The theory makes use of the negative binomial distribution for the probability of coverage of points by fibres, allowing expressions to be derived for structural properties of sheets with greater variance of coverage than that observed in a corresponding point Poisson process. The expressions obtained provide insights into the extent that formation influences free-fibre-length distribution, pore size distribution, absolute contact states and fractional contact area.