Struct StressTensor 

pub struct StressTensor {
    pub matrix: Matrix3<f64>,
}

Cauchy stress tensor — a symmetric 3×3 tensor representing the state of stress at a point.

Fields

matrix: Matrix3<f64>

The 3×3 symmetric stress matrix [σ_ij]

Implementations

impl StressTensor

pub fn new(matrix: Matrix3<f64>) -> Self

Create a new stress tensor from a 3×3 matrix. The matrix is symmetrized by averaging off-diagonal components.

pub fn from_components( sxx: f64, syy: f64, szz: f64, txy: f64, txz: f64, tyz: f64, ) -> Self

Create a stress tensor from individual components. σ = [[σ_xx, τ_xy, τ_xz], [τ_xy, σ_yy, τ_yz], [τ_xz, τ_yz, σ_zz]]

pub fn hydrostatic(&self) -> f64

Hydrostatic (mean) stress: σ_m = (σ_xx + σ_yy + σ_zz) / 3

pub fn deviatoric(&self) -> StressTensor

Deviatoric stress tensor: s_ij = σ_ij - σ_m * δ_ij

pub fn von_mises(&self) -> f64

Von Mises equivalent stress.

pub fn first_invariant(&self) -> f64

First invariant (trace): I₁ = σ_xx + σ_yy + σ_zz

pub fn second_invariant(&self) -> f64

Second invariant: I₂ = σ_xxσ_yy + σ_yyσ_zz + σ_zz*σ_xx - τ_xy² - τ_yz² - τ_xz²

pub fn third_invariant(&self) -> f64

Third invariant (determinant): I₃ = det(σ)

pub fn principal_stresses(&self) -> Vector3<f64>

Principal stresses (eigenvalues of the stress tensor), returned in descending order.

pub fn max_shear(&self) -> f64

Maximum shear stress: τ_max = (σ₁ - σ₃) / 2

pub fn traction(&self, normal: &Vector3<f64>) -> Vector3<f64>

Traction vector on a plane with normal n: t = σ · n

pub fn normal_stress_on_plane(&self, normal: &Vector3<f64>) -> f64

Normal stress on a plane: σ_n = n · (σ · n)

pub fn shear_stress_on_plane(&self, normal: &Vector3<f64>) -> f64

Shear stress on a plane: τ = |t - σ_n · n|

pub fn uniaxial(sigma: f64) -> Self

Create a uniaxial stress state (σ_xx = σ, all others zero).

pub fn biaxial(sxx: f64, syy: f64) -> Self

Create a biaxial stress state.

pub fn pure_shear(txy: f64) -> Self

Create a pure shear stress state.

Trait Implementations

impl Add for StressTensor

type Output = StressTensor

The resulting type after applying the + operator.

fn add(self, rhs: StressTensor) -> Self::Output

Performs the + operation.

impl Clone for StressTensor

fn clone(&self) -> StressTensor

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for StressTensor

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for StressTensor

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Mul<f64> for StressTensor

type Output = StressTensor

The resulting type after applying the * operator.

fn mul(self, scalar: f64) -> Self::Output

Performs the * operation.

impl Serialize for StressTensor

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.