Struct SinteringModel 

pub struct SinteringModel {
    pub neck_growth_prefactor: f64,
    pub neck_growth_exponent: f64,
    pub activation_energy_neck: f64,
    pub particle_radius: f64,
    pub densification_prefactor: f64,
    pub densification_grain_exponent: f64,
    pub activation_energy_densification: f64,
    pub initial_density: f64,
}

Solid-state sintering kinetics for ceramic powders.

Models neck growth and densification as functions of time and temperature.

Fields

neck_growth_prefactor: f64

Pre-exponential constant for neck growth A [m^n / (m^n · s)] – dimensionless form

neck_growth_exponent: f64

Neck growth exponent n (typically 5–7 for volume diffusion)

activation_energy_neck: f64

Activation energy for neck growth Q [J/mol]

particle_radius: f64

Initial powder particle radius r [m]

densification_prefactor: f64

Densification rate constant K [1/s]

densification_grain_exponent: f64

Grain-size exponent for densification m (typically 3)

activation_energy_densification: f64

Activation energy for densification Q_d [J/mol]

initial_density: f64

Initial relative density ρ₀ [-]

Implementations

impl SinteringModel

pub fn new( neck_growth_prefactor: f64, neck_growth_exponent: f64, activation_energy_neck: f64, particle_radius: f64, densification_prefactor: f64, densification_grain_exponent: f64, activation_energy_densification: f64, initial_density: f64, ) -> Self

Creates a new SinteringModel with all parameters.

pub fn neck_ratio(&self, time: f64, temp: f64) -> f64

Returns the neck-radius-to-particle-radius ratio x/r at time t [s] and temperature temp [K].

(x/r)^n = A · t · exp(−Q / (R·T))

pub fn densification_rate(&self, r_grain: f64, temp: f64) -> f64

Returns the densification rate dρ/dt [1/s] at grain radius r_grain [m] and temperature temp [K].

dρ/dt = K · (1/r_grain)^m · exp(−Q_d / (R·T))

pub fn density_at_time( &self, time: f64, r_grain: f64, temp: f64, steps: usize, ) -> f64

Approximate relative density ρ at time t [s] via first-order Euler integration with steps steps.

Trait Implementations

impl Clone for SinteringModel

fn clone(&self) -> SinteringModel

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for SinteringModel

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

Formats the value using the given formatter.