Abstract
In order to express the sizes and geometrical anisotropies of void spaces in a random fiber assembly which has an arbitrary distribution of fiber orientation, two quantities of aperture circle and free length are introduced and their distributions are derived statistically.
It is found that the approximate probability density functions of the radius of aperture circle, γ, and free length, l, are given by
f(r)=2πν(r+ρ)e-πν(r+ρ)2
h(l)=ne-n(l+λ)
respectively, where ν, ρ, n and λ are the quantities proper to the assembly, through which the anisotropies of void structures are expressed.
