Abstract
This work quantifies geometric effects of randomness in unidirectional fiber packing arrays over a 0.1-0.9 fiber volume fraction range. Investigated parameters are equivalent symmetry angle, nearest neighbor distance, number of touches per fiber, and specific fiber volume fraction. Ten-thousand different fiber array configurations were analyzed to generate statistical results. These results are presented as plots and least squares approximating functions. It is shown that, for fiber volume fractions exceeding 0.6, truly random fiber packing is unlikely to occur. A sample problem is also included to illustrate benefits of accounting for random behavior in simple models.
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