Analytical approximation of the two-dimensional percolation threshold for fields of overlapping ellipses.

@article{Yi2002AnalyticalAO,
  title={Analytical approximation of the two-dimensional percolation threshold for fields of overlapping ellipses.},
  author={Y-B Yi and Ann Marie Sastry},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2002},
  volume={66 6 Pt 2},
  pages={066130}
}
Percolation of particle arrays is of high interest in microstructural design of materials. While there have been numerous contributions to theoretical modeling of percolation in particulate systems, no analytical approximation for the generalized problem of variable aspect-ratio ellipses has been reported. In the present work, we (1) derive, and verify through simulation, an analytical percolation approach capable of identifying the percolation point in two-phase materials containing… CONTINUE READING
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