A Numerical Model for Random Fibre Networks

  • Mark HoughtonEmail author
  • David Head
  • Mark Walkley
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11189)


Modelling a random fibre network representative of a real world material leads to a large sparse linear matrix system with a high condition number. Current off-lattice networks are not a realistic model for the mechanical properties of the large volume of random fibres seen in actual materials. In this paper, we present the numerical methods employed within our two-dimensional and three-dimensional models that improve the computational time limitations seen in existing off-lattice models. Specifically, we give a performance comparison of two-dimensional random fibre networks solved iteratively with different choices of preconditioner, followed by some initial results of our three-dimensional model.


Fibre network Iterative Preconditioning 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.University Of LeedsLeedsUK

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