OOF2: The Manual

Name

SecondInvariant (SecondInvariant) — Second invariant of a symmetric tensor.

Synopsis

SecondInvariant()

Details

Description

SecondInvariant is one of the Invariants of a symmetric three dimensional rank 2 tensor quantity that can be computed by the OOF2 Outputs. The second invariant of a three dimensional symmetric rank 2 tensor \(A\) is


\[
A_{11}A_{33} + A_{11}A_{22} + A_{22}A_{33} -
A_{12}^2 - A_{13}^2 - A_{23}^2.
\]