I don't know about polystyrene and polycarbonate, but I remember someone telling me that polypropylene doesn't react with anything, so it's almost impossible to paint or glue.
Here's some info from EcoModder:
Coroplast Kammback: joining or bending?
Now that I think about it, the sheets do not need to be firmly glued. They can be bound together, maybe also pressed, so only a layer of thermal paste is needed.