Proposed Canonical Forms for Monoclinic Systems

Notice that the new form above has a simplified block diagonal structure and because of the group property this will carry over to the compliance matrix. We are now in a position to back out the row and column reordering, and present the new monoclinic forms for both stiffness and compliance.  

$$\pmatrix{c_{11}&c_{12}&c_{13}&0&0&c_{16}\cr c_{12}&c_{22}&c... ...&0\cr 0&0&0&0&c_{55}&0\cr c_{16}&c_{26}&c_{36}&0&0&c_{66}\cr}$$ (5)

 

$$\pmatrix{s_{11}&s_{12}&s_{13}&0&0&s_{16}\cr s_{12}&s_{22}&s... ...&0\cr 0&0&0&0&s_{55}&0\cr s_{16}&s_{26}&s_{36}&0&0&s_{66}\cr}$$ (6)