TY - JOUR

T1 - Particle sieving in a random fiber network

AU - Castro, Jaime

AU - Ostoja-Starzewski, Martin

N1 - Funding Information:
This research was made possible by the IPST member companies and the National Science Foundation under grant CMS-9713764.

PY - 2000/7

Y1 - 2000/7

N2 - An idealized fiber network model is developed to study particle sieving by percolation. The model is based on a Poisson line field in two dimensions, whereby the fibers are modeled as infinite length strips of finite width, while particles are modeled as circular disks. The probabilistic sieving problem is equivalent to percolation of disks through convex polygons of the Poisson line field. The area-based probability of retention (equivalently, percolation) is described by an equation which depends on a single non-dimensional number that is proportional to the number of fiber per unit area and the particle size. The physical meaning and the applicable range of this number are discussed. Finally, using a Monte Carlo simulation, the model is generalized to anisotropic Poisson line fields. (C) 2000 Elsevier Science Inc. All rights reserved.

AB - An idealized fiber network model is developed to study particle sieving by percolation. The model is based on a Poisson line field in two dimensions, whereby the fibers are modeled as infinite length strips of finite width, while particles are modeled as circular disks. The probabilistic sieving problem is equivalent to percolation of disks through convex polygons of the Poisson line field. The area-based probability of retention (equivalently, percolation) is described by an equation which depends on a single non-dimensional number that is proportional to the number of fiber per unit area and the particle size. The physical meaning and the applicable range of this number are discussed. Finally, using a Monte Carlo simulation, the model is generalized to anisotropic Poisson line fields. (C) 2000 Elsevier Science Inc. All rights reserved.

KW - Monte Carlo simulation

KW - Percolation

KW - Poisson line field

KW - Random fiber network

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U2 - 10.1016/S0307-904X(99)00055-4

DO - 10.1016/S0307-904X(99)00055-4

M3 - Article

AN - SCOPUS:0034089692

SN - 0307-904X

VL - 24

SP - 523

EP - 534

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

IS - 8-9

ER -