Conduction in fibrous materials made of highly conductive fibres and immerged in a poorly conductive matrix is modelled above the percolation threshold. Firstly, limits of discrete approaches generally used to tackle this problem are determined on elementary fibrous microstructures by comparing discrete solutions with full finite element calculations. Then, more complex 3D fibrous microstructures are numerically generated and a discrete element code is used to analyse the influence of the fibre content, aspect ratio, orientation as well as the quality of fibre–fibre contacts on the effective conductivity tensor. Lastly, a semi-empirical analytical expression is proposed to model numerical results.
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Vassal et al. (2008) studied this question.
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