Green-Naghdi rate of the Cauchy stress Objective stress rate

the green–naghdi rate of kirchhoff stress has form since stretch not taken consideration, i.e.,

τ
◻


=



τ
˙



+

τ

⋅

Ω

−

Ω

⋅

τ



{\displaystyle {\overset {\square }{\boldsymbol {\tau }}}={\dot {\boldsymbol {\tau }}}+{\boldsymbol {\tau }}\cdot {\boldsymbol {\omega }}-{\boldsymbol {\omega }}\cdot {\boldsymbol {\tau }}}