Determining the conductance of networks created by randomly dispersed cylinders

Simone Appella; Anvarbek  Atayev; Oliver Bond; Ben Collins; Markus Dablander; Nikolai Fadeev; Andrew Lacey; Piotr Morawiecki; Hilary Ockendon; Davide Polvara; Ellen Powell; Lorenzo Quintavalle; Eddie Wilson; Yang Zhou

doi:10.33774/miir-2021-3pqt1-v2

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Determining the conductance of networks created by randomly dispersed cylinders

29 September 2021, Version 2

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Abstract

This report investigates various aspects of modelling a composite material using randomly packed cylinders in 3d space. In particular it considers: simulating configurations of non-intersecting cylinders; generating weighted networks from such simulations, including calculation of minimal cylinder separation distances; estimating the conductance or resistivity of such a network. This is based on work carried out during the ESGI165 Study Group at Durham University, April 2021. Acknowledgement: This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 764850 (SAGEX). This is paper SAGEX-21-25.

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It would be useful if the four different distance norms in Section 2 could be described in terms non-dimensional parameters using eg typical cylinder length and radius and the void fraction and maybe some measure of alignment.