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MandelNotation

Struct MandelNotation 

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pub struct MandelNotation;
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Mandel notation for symmetric second-order tensors.

Like Kelvin notation, off-diagonal components are scaled by √2 so that the Euclidean inner product of the 6-vectors equals the double contraction A:B of the original tensors. Index ordering: [11, 22, 33, 12, 23, 13].

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impl MandelNotation

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pub fn from_tensor2(t: &Tensor2) -> [f64; 6]

Convert a symmetric Tensor2 to its 6-component Mandel vector.

Normal components (indices 0..3) are unchanged. Shear components (indices 3..6) are multiplied by √2.

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pub fn to_tensor2(v: &[f64; 6]) -> Tensor2

Convert a 6-component Mandel vector back to a Tensor2.

Shear components are divided by √2 and symmetrised.

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pub fn double_contract(va: &[f64; 6], vb: &[f64; 6]) -> f64

Compute the double contraction A:B using Mandel vectors.

A:B = v_A · v_B (Euclidean dot product of the Mandel representations).

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pub fn to_engineering_strain(v: &[f64; 6]) -> [f64; 6]

Convert a Mandel strain vector to engineering (Voigt) strain.

Engineering shear strains (γ = 2ε) are twice the tensor shear strains.

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pub fn from_engineering_strain(e: &[f64; 6]) -> [f64; 6]

Convert engineering (Voigt) strain to Mandel strain.

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