Struct PercolationThreshold 

pub struct PercolationThreshold {
    pub aspect_ratio: f64,
    pub orientation_factor: f64,
}

Electrical percolation threshold for CNT nanocomposites.

Uses excluded-volume theory (slender-body approximation) to predict the critical volume fraction at which a conductive network forms.

Fields

aspect_ratio: f64

Aspect ratio of the conducting filler (L/D).

orientation_factor: f64

Filler orientation factor (1 = aligned, 2/3 = random 3D, 1/2 = random 2D).

Implementations

impl PercolationThreshold

pub fn new(aspect_ratio: f64, orientation_factor: f64) -> Self

Creates a new percolation threshold estimator.

• aspect_ratio – L/D of the CNT or fiber.
• orientation_factor – 1 for perfectly aligned; use 2.0/3.0 for random 3D orientation.

pub fn critical_volume_fraction(&self) -> f64

Critical volume fraction φ_c at the percolation threshold.

Based on excluded-volume theory: φ_c ≈ 0.7 / (α * f_orient).

pub fn conductivity_factor(&self, volume_fraction: f64) -> f64

Electrical conductivity enhancement factor above percolation threshold.

Uses power-law scaling: σ_c / σ_m ∝ (φ - φ_c)^t, with t ≈ 2.

Returns 0.0 below percolation threshold.

pub fn is_percolated(&self, volume_fraction: f64) -> bool

Returns true if the given volume fraction exceeds the percolation threshold.

Trait Implementations

impl Clone for PercolationThreshold

fn clone(&self) -> PercolationThreshold

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for PercolationThreshold

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.