Percolation of Fibers

版本 1.0.6 (5.7 KB) 作者: Ayad Al-Rumaithi
Determines the percolation of fibers in a box (cuboid)
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更新时间 2025/5/11

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This tool include two example files: (Example.m) and (Example_Probability.m):
1- Example.m: determines the percolation of fibers in a box (cuboid). The input values are:
Vf: Volume fraction of fibers in the bigger box
Bx: Side length of the box in x-direction
By: Side length of the box in y-direction
Bz: Side length of the box in z-direction
L: Length of fibers
d: Diameter of fibers
The fibers are generated in a bigger box of size (Bx+2*L, By+2*L, Bz+2*L), then cropped into the original (smaller) dimensions (Bx, By, Bz). The reason behind that is to ensure that fibers are uniformly distributed across the domain. The volume fraction of fibers in the smaller box is slightly bigger than Vf. Random fibers are omitted so that volume fraction of fibers in the smaller box reaches Vf. The fibers are assumed to be capped cylinders in both end, and cropped fibers are capped in one end only. After that, percolation is determined in z-direction from Z=0 to Z=Bz. The criteria for percolation is that the distance between fibers is d, and the distance between fibers and the planes (Z=0, Z=Bz) is d/2. If there is percolation then the value of Percolation variable is 1, otherwise it is zero.
Three figures are plotted: a-fibers in the bigger box, b-cropped fibers in the smaller box, and c-the fibers with percolation in the smaller box.
The value of Vf can be increased or decreased, and the percolation will change accordingly.
2-Example_Probability.m: this file repeat the above procedure for a range of volume fraction of fibers. The process is repeated many times for each volume fraction to get the probability of percolation. Additional input are:
Vfmin: Min volume fraction of fibers
dVf: Volume fraction of fibers increment
Vfmax: Max volume fraction of fibers
NRealizations: Number of Realizations for each volume fraction
One figure is plotted: the probability of percolation with the volume fraction of fibers.

引用格式

Ayad Al-Rumaithi (2025). Percolation of Fibers (https://www.mathworks.com/matlabcentral/fileexchange/135426-percolation-of-fibers), MATLAB Central File Exchange. 检索时间: .

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版本 已发布 发行说明
1.0.6

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1.0.5

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1.0.4

Added Example_Probability.m
1.0.3

Added website.
1.0.2

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1.0.1

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1.0.0