Tony
foam board will buckle what ever, i am taking it that to cover 16’x8′ you are going to use 4 x 8’x4′ sheets portrait orientation. the mounting of these will depend on several factors what is behind them arer they open to xtreme windy conditions etc. For arguments sake if the boards are to be mounted to a wall i would
use 10mm foamex any thinner and its own sheer weight will cause it to buckle.
use sign frame it is avaliable for 10mm boards if you ask your supplier
use loads of panel locks along the jointing edge any expansion should be practically un-noticeable
fit pedestals to wall so that panel cannot be pushed in, you could also screw in to with white topped screws or caps etc, to add additional security (could be made of off cuts)
However if its just a case of screwing to the wall etc, screw via slots in the foamex using screw caps and don’t over tighten so that the boards can expand and contract. The problem with this method is that once a gap as ocurred it will not close its self.
Kevin