Model Mathematics

I1 = 3 + 2 Emm + 2 Enn + 2 Ess

I2 = 3 + (-4) Emn Emn + 4 Enn + (-4) Ems Ems + (-4) Ens Ens + 4 (1 + Enn) Ess + 4 (1 + Enn) Ess + 4 (1 + Enn + Ess) Emm

I4 = 1 + 2 Emm

I6 = 1 + 2 Enn

I8 = 1 + 2 Ess

Tdevmm = 2 c11 ⅇ^{c12 {(I1 - 3)}^{2}} (I1 - 3) + 4 c21 ⅇ^{c22 {(I2 - 3)}^{2}} (I2 - 3) (1 + Enn + Ess) + 2 c41 ⅇ^{c42 {(I4 (1 - (3 kappa1)) - 1)}^{2}} (I4 (1 - (3 kappa1)) - 1) (1 - (3 kappa1))

Tdevmn = (-4) c21 ⅇ^{c22 {(I2 - 3)}^{2}} (I2 - 3) Emn

Tdevms = (-4) c21 ⅇ^{c22 {(I2 - 3)}^{2}} (I2 - 3) Ems

Tdevnn = 2 c11 ⅇ^{c12 {(I1 - 3)}^{2}} (I1 - 3) + 4 c21 ⅇ^{c22 {(I2 - 3)}^{2}} (I2 - 3) (1 + Emm + Ess)

Tdevss = 2 c11 ⅇ^{c12 {(I1 - 3)}^{2}} (I1 - 3) + 4 c21 ⅇ^{c22 {(I2 - 3)}^{2}} (I2 - 3) (1 + Emm + Enn) + 2 c81 ⅇ^{c82 {(I8 (1 - (3 kappa2)) - 1)}^{2}} (I8 (1 - (3 kappa2)) - 1) (1 - (3 kappa2))

Tdevns = (-4) c21 ⅇ^{c22 {(I2 - 3)}^{2}} (I2 - 3) Ens