Struct GriffithCriterion 

pub struct GriffithCriterion {
    pub g_critical: f64,
    pub young_modulus: f64,
    pub poisson_ratio: f64,
    pub shear_modulus: f64,
}

Griffith fracture criterion for brittle materials.

Fracture occurs when the strain energy release rate G equals or exceeds the critical energy release rate G_c.

For mode I: G = K_I² / E’ For mode II: G = K_II² / E’ For mode III: G = K_III² / (2 μ)

where E’ = E for plane stress and E’ = E / (1-ν²) for plane strain.

Fields

g_critical: f64

Critical energy release rate G_c (J/m²).

young_modulus: f64

Young’s modulus E (Pa).

poisson_ratio: f64

Poisson’s ratio ν.

shear_modulus: f64

Shear modulus G (Pa) = E / (2(1+ν)).

Implementations

impl GriffithCriterion

pub fn new(g_critical: f64, young_modulus: f64, poisson_ratio: f64) -> Self

Create a Griffith criterion model.

pub fn steel() -> Self

Steel default (G_c = 100 J/m², E = 200 GPa, ν = 0.3).

pub fn effective_modulus(&self, plane_strain: bool) -> f64

Effective modulus E’ for plane stress or plane strain.

pub fn compute_energy_release_rate_mode_i( &self, k_i: f64, plane_strain: bool, ) -> f64

Compute the energy release rate for mode I loading.

G_I = K_I² / E’

pub fn compute_energy_release_rate( &self, k_i: f64, k_ii: f64, k_iii: f64, plane_strain: bool, ) -> f64

Compute the energy release rate for mixed mode (I + II + III).

G = K_I²/E’ + K_II²/E’ + K_III²/(2μ)

pub fn is_critical( &self, k_i: f64, k_ii: f64, k_iii: f64, plane_strain: bool, ) -> bool

Check whether the Griffith criterion is satisfied (fracture occurs).

Returns true if G >= G_c.

pub fn critical_sif(&self, plane_strain: bool) -> f64

Critical SIF K_Ic from G_c (mode I, plane strain).

K_Ic = sqrt(G_c * E’)

pub fn critical_crack_length(&self, stress: f64, plane_strain: bool) -> f64

Compute the critical half-crack length a_c for a given applied stress.

a_c = G_c * E’ / (π * σ²)

Trait Implementations

impl Clone for GriffithCriterion

fn clone(&self) -> GriffithCriterion

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for GriffithCriterion

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

Formats the value using the given formatter.

impl Copy for GriffithCriterion