Average of Multiple Stress Tensors

[phukanha]

I have a cluster of voxels and a 2nd order stress tensor corresponding to each voxel. I was wondering as to what would be the best method to calculate an average stress tensor for the cluster as a whole? Any constructive inputs would be greatly appreciated.

 

[AlephZero]

First define what properties you want your "average" to have, depending on the physics of the application.
Just averaging the individual components (assuming all the tensors are in the same coordinate system) might not be very meaningful. Maybe you really want to get the correct average strain energy density, or the correct average of some invariant(s) like the principal stresses, Von Mises stress, or whatever.