The spaces in a uniform random suspension of fibres

Key Points

• To mathematically characterize the geometry, volume, and distribution of empty spaces within a uniform random suspension of fibers.
• Formulated a stochastic geometric model representing rigid fibers randomly and uniformly oriented in three-dimensional space.
• Statistically derived the distribution functions for void dimensions and interstitial distances between fibers.
• Identified analytical expressions describing the probability distribution of free space and pore radii within the random fibrous matrix.
• Demonstrated that void space volume and connectivity scale directly as a function of fiber concentration and aspect ratio.