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- C T J Dodson, W W Sampson
- 1985

|This note extends E. H. Lloyd's model of pore structure in random bre networks to a large class of stochastic bre networks containing the random model as a special case. The key to the generalization is the substitution of a family of gamma distributions for the negative exponential family used for intercrossing distances on bres. This allows closed… (More)

Decision making is one of the principal cognitive processes underlying goal-directed behaviour and thus there is justifiably strong interest in modeling it. However, many of these models have yet to be tested outside of the laboratory. At the same time, field work would benefit from the use of experimental methods developed in the laboratory to determine… (More)

From the known statistics of fibre-fibre contacts in random fibre networks, an analytic estimate is obtained for the variance of local porosity in random fibre suspensions and evolving filtrate networks. The variance of local porosity, and hence the distribution of projected areal density, seems to depend on fibre geometry only through the cube of mean… (More)

From the known statistics of fiber-fiber contacts in random fiber networks, an analytic estimate is obtained for the variance of local porosity in random fiber suspensions and evolving filtrate networks. The variance of local porosity, and hence the distribution of projected areal density, seem to depend on fiber geometry only through the cube of mean… (More)

We present the analysis of experimental data that supports the recently presented hypothesis that the relationship between local areal density and local thickness in planar stochastic fiber networks may be described by the bivariate normal distribution. Measurements of the local averages of areal density and thickness have been made on experimental fiber… (More)

Dimensionality reduction helps to identify small numbers of essential features of stochastic fibre networks for classification of image pixel density datasets from experimental radiographic measurements of commercial samples and simulations. Typical commercial macro-fibre networks use finite length fibres suspended in a fluid from which they are… (More)

The polygons arising from a planar Poisson line process have an exponential distribution of their side lengths and are known to be more regular as their area, perimeter or number of sides increase. Local regions with higher line density have smaller polygon side lengths and conversely. Numerical analysis of computer generated Poisson line processes shows… (More)

- C T J Dodson, W W Sampson, H Wang
- 2007

A family of gamma distributions can be used to model the pore size distributions in a range of bre networks such as arise for commercial papers. Our simulator generates distributional and net ow data for any uid ow regime through such networks. It may be applied to investigate the eeects of bre dimensions and sheet formation on ow behaviour, and to estimate… (More)

Using results for the distribution of perimeters of random polygons arising from random lines in a plane, we obtain new analytic approximations to the distributions of areas and local line densities for random polygons and compute various limiting properties of random polygons. Using simulation, we show that the lengths of adjacent sides of polygons… (More)

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