“VonMisesMoS” criterion

This criterion is used to calculate Von Mises margin of safety. The margin of safety is calculated according to the following expression:

MoS = \frac{σ_{a l l}}{FoS σ_{V M}} - 1,

σ_{V M} = \sqrt{\frac{{(σ_{x x} - σ_{y y})}^{2} + {(σ_{y y} - σ_{z z})}^{2} + {(σ_{z z} - σ_{x x})}^{2}}{2} + 3 σ_{x y}^{2} + 3 σ_{x z}^{2} + 3 σ_{y z}^{2}} .

The arguments of the criterion are given in Table X.D.5. The method returns an Array of 7 elements according to Table X.D.6:

The four first elements correspond to the Result key on which the minimum margin of safety is calculated.
Then, Von Mises equivalent stress at critical location.
Then, one gives the critical (minimum) margin of safety.
The last element of the Array is a Result object that contains the margins of safety element-per-element, node-per-node...

Table X.D.5: Arguments of the “VonMisesMoS” predefined criterion

Table X.D.6: Outputs of the “VonMisesMoS” predefined criterion


Pos.	Name	Type	meaning


1	ElemId	Integer	Critical Element ID

2	NodeId	Integer	Critical Node ID

3	LayerId	Integer	Critical Layer ID

4	SubLayerId	Integer	Critical Sub-Layer ID

5	vmMax	Real	Von Mises equivalent stress tensor at critical location

6	mosMin	Real	Critical margin of safety

7	mosRes	Result	All the margins of safety that have been calculated