Struct HallPetchModel 

pub struct HallPetchModel {
    pub sigma_0_mpa: f64,
    pub k_hp_mpa_sqrt_nm: f64,
    pub d_critical_nm: f64,
}

Hall-Petch and inverse Hall-Petch (breakdown at nanoscale).

Describes grain-size-dependent yield strength.

Fields

sigma_0_mpa: f64

Friction stress (yield strength of a single crystal) σ₀ (MPa).

k_hp_mpa_sqrt_nm: f64

Hall-Petch slope k (MPa·√nm).

d_critical_nm: f64

Critical grain size below which inverse HP (softening) occurs (nm).

Implementations

impl HallPetchModel

pub fn new(sigma_0_mpa: f64, k_hp_mpa_sqrt_nm: f64, d_critical_nm: f64) -> Self

Creates a Hall-Petch model.

pub fn yield_strength_classical_mpa(&self, grain_size_nm: f64) -> f64

Yield strength (MPa) using the classical Hall-Petch equation.

σy = σ₀ + k / √d

pub fn yield_strength_mpa(&self, grain_size_nm: f64) -> f64

Yield strength (MPa) with inverse Hall-Petch softening for d < d_critical.

Uses a bilinear model: classical HP for d ≥ d_c, then linear softening.

pub fn optimal_grain_size_nm(&self) -> f64

Grain size (nm) at which yield strength is maximised.

Trait Implementations

impl Clone for HallPetchModel

fn clone(&self) -> HallPetchModel

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for HallPetchModel

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

Formats the value using the given formatter.

impl Copy for HallPetchModel