Von Mises criterion (3D)

II.1.10.3 Von Mises criterion (3D)

Using the stress tensor components a scalar equivalent shear stress is given by:

σ_{eq}^{VonMises3D} = \sqrt{σ_{11}^{2} + σ_{22}^{2} + σ_{33}^{2} - σ_{11} σ_{22} - σ_{22} σ_{33} - σ_{33} σ_{11} + 3 τ_{12}^{2} + 3 τ_{23}^{2} + 3 τ_{31}^{2}} .

Ply passes the failure criterion if

σ_{eq}^{VonMises4D} \leq σ_{t}^{all} .

As for the 2D version, the corresponding failure index is given by II.1.116, the reserve factor by II.1.117 and the strength ratio by II.1.118. This criterion is referred to as “VonMises3D” criterion in FeResPost.

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