Stochastic Fibre Networks

There is considerable interest in the materials science community in the structure of stochastic fibrous materials and the influence of structure on their mechanical, optical and transport properties. We have common experience of such materials in the form of paper, filters, insulating layers and supporting matrices for composites. The reference model for such stochastic fibre networks is the 2-dimensional array of line segments with centres following a Poisson process in the plane and axis orientations following a uniform process; that structure is commonly called a random fibre network and we study this before considering departures from it.