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P_SYMDEV

russell_tensor

Constant P_SYMDEV 

Source 
pub const P_SYMDEV: [[f64; 9]; 9];
Expand description

Fourth-order symmetric-deviatoric projector in Kelvin-Mandel basis

Note: this tensor can be represented in reduced-dimension.

Definition:
               _
Psymdev = ½ (I ⊗ I + I ⊗ I) - ⅓ I ⊗ I = Psym - Piso
                       ‾
Kelvin-Mandel matrix:
            ┌                        ┐
            │  ⅔ -⅓ -⅓  0 0 0  0 0 0 │
            │ -⅓  ⅔ -⅓  0 0 0  0 0 0 │
            │ -⅓ -⅓  ⅔  0 0 0  0 0 0 │
            │  0  0  0  1 0 0  0 0 0 │
[Psymdev] = │  0  0  0  0 1 0  0 0 0 │
            │  0  0  0  0 0 1  0 0 0 │
            │  0  0  0  0 0 0  0 0 0 │
            │  0  0  0  0 0 0  0 0 0 │
            │  0  0  0  0 0 0  0 0 0 │
            └                        ┘