Constant russell_tensor::P_DEV

source · 
pub const P_DEV: [[f64; 9]; 9];
Expand description

Fourth-order deviatoric making projector (Pdev)

Note: this tensor cannot be represented in reduced-dimension because it is not minor-symmetric.

Definition:
         _
Pdev = I ⊗ I - ⅓ I ⊗ I = II - Piso

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 │
[Pdev] = │  0  0  0  0 1 0  0 0 0 │
         │  0  0  0  0 0 1  0 0 0 │
         │  0  0  0  0 0 0  1 0 0 │
         │  0  0  0  0 0 0  0 1 0 │
         │  0  0  0  0 0 0  0 0 1 │
         └                        ┘