Hi, I am looking for a mathematical formula for calculating the packing density of mixed powder and 3 granular material from maximum measured packing density of each.
Sadly, it is valid only for solid particles. Yet there is a connection between wet and dry packing densities according to http://onlinelibrary.wiley.com/doi/10.1111/j.1151-2916.2001.tb00690.x/abstract . And speaking about full texts - you can always try #canihaspdf on Twitter.
You should be clear that even it is possible to calculate by simple arithmetic mean likely the real packing density will differ maybe to larger extent, e.g. due to smaller particles filling the voids of larger ones and also by particle interactions. If you assume no interaction you may be better of knowing the size distributions of the 3 materials.