Stress Shapes matrix

 

A stress shape is generated by the strain shapes and elasticity matrix. The stress are evaluated by superposition of stress shapes  which scaled by the modal coordinates .

 

The stress of a node is calculated as follows.

 

The reference frame of the above strain tensor is RFlex body reference frame. Therefore, the strain with respect to Global.Inertia reference frame is computed as below tensor transformation.

 

 

Where,  is an orientation matrix of RFlex body reference frame.

 

The principal stress () can be computed from these stress components.

The stress intensity () is the largest of the absolute maximum values of .

 

The von mises stress () is computed as