D3PLOT 22.1
Transforming Directional Solid Results to the Element Local System
Transforming directional solid results to the element local system
It is possible to transform stress and strain tensor results from the global to the local element coordinate system using the options.
The local element axes, [X', Y', Z'] for this purpose, are calculated as follows. If we adopt the notation that the vector from node 1 to node 2 is N1N2 :
| X' | = | N1N2 approximately: the true X' vector is recomputed below | |
| Z' | = | N1N3 x N2N4 | (Where x is a vector cross-product) |
| Y' | = | Z' x X' | |
| X' | = | Y' x Z' This final transformation is required to correct for any warping | |
The formulae above are simplified for clarity. In 8 noded hexahedra the average of the bottom (N1N2N3N4) and top (N5N6N7N8) faces is used to determine a "middle" face; and for 6 noded wedges a similar averaging process is used. For tetrahedra Z' is obtained from N1N2 x N1N3.