As Voigt

Converts a Tensor2 or Tensor4 data type to a reduced Voigt-storage Tensor2s or Tensor4s.

Aliases:

• voigt(T)
• symstore(T)

$$\begin{array}{}\text{(1)}& \mathit{C}=\left[\begin{array}{ccc}{C}_{11}& C_{12}& C_{13}\\ C_{12}& C_{22}& C_{23}\\ C_{13}& C_{23}& C_{33}\end{array}\right]⟶\left[\begin{array}{c}{C}_{11}\\ C_{22}\\ C_{33}\\ C_{12}\\ C_{23}\\ C_{13}\end{array}\right]\end{array}$$ $$\begin{array}{rl}\mathbb{A}& =\left[\begin{array}{ccccccccc}{A}_{1111}& A_{1112}& A_{1113}& A_{1121}& A_{1122}& A_{1123}& A_{1131}& A_{1132}& A_{1133}\\ A_{1211}& A_{1212}& A_{1213}& A_{1221}& A_{1222}& A_{1223}& A_{1231}& A_{1232}& A_{1233}\\ \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots \\ A_{3111}& A_{3112}& A_{3113}& A_{3121}& A_{3122}& A_{3123}& A_{3131}& A_{3132}& A_{3133}\end{array}\right]\\ \text{(2)}& & ⟶\left[\begin{array}{cccccc}{A}_{1111}& A_{1122}& A_{1133}& A_{1112}& A_{1123}& A_{1113}\\ A_{2211}& A_{2222}& A_{2233}& A_{2212}& A_{2223}& A_{2213}\\ \dots & \dots & \dots & \dots & \dots & \dots \\ A_{1311}& A_{1322}& A_{1333}& A_{1312}& A_{1323}& A_{1313}\end{array}\right]\end{array}$$

Example

type(Tensor2) :: T
type(Tensor2s) :: U

U = asvoigt(T)