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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)

- Jerald D Kralik, William W L Sampson
- Behavioural processes
- 2012

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)

- C. T. J. Dodson, W. W. Sampson
- Simulation
- 2000

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)

- S J Eichhorn, W W Sampson
- Journal of the Royal Society, Interface
- 2010

From consideration of the extent of contact between fibres in electrospun polymer networks, we provide theory relating the specific surface area of the network to the characteristic dimensions of interfibre voids. We show that these properties are strongly influenced by the cross-sectional morphologies of fibres. Whereas porosity has a strong influence on… (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)

- C. T. J. Dodson, W. W. Sampson
- GSI
- 2013

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)

- C. T. J. Dodson, W. W. Sampson
- Appl. Math. Lett.
- 2009

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)