Description: Tensorial square root of a positive definite rank 2 Tensor. For algorithmic details see Franka, L.P. (1988). This function can be used to obtain the stretch tensor.
| Property | Value |
|---|---|
| Result | Tensor-valued function |
| Data Types | Tensor2, Tensor2s |
type(Tensor2) :: F, R
type(Tensor2) :: U, C
! type(Tensor2s) :: U, C
C = transpose(F)*F
U = sqrt(C)
! polar decomposition F = R*U
R = F*inv(U)