Elasticity/VonMises stress

Von Mises Stress or Equivalent Stress

Von Mises is a criteria used in predicting the onset of yield in ductile materials. The von Mises stress/equivalent stress/distortional strain energy is given by the relation

${\sigma }_{\text{eq}}=\sqrt{I_1^2-3I_2}=\sqrt{{\sigma }_{11}^2+{\sigma }_{22}^2+{\sigma }_{33}^2-{\sigma }_{11}{\sigma }_{22}-{\sigma }_{22}{\sigma }_{33}-{\sigma }_{33}{\sigma }_{11}+3{\sigma }_{12}^2+3{\sigma }_{23}^2+3{\sigma }_{31}^2}$

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