I found this information and thought it might be useful approximate guide for other builders...
It seems to apply to standard construction ply.
Minimum Bending Radius for Plywood Panels (Imperial Measurements)
I needed the information in Metric so I have included that here:
Ply Thickness |With Grain |Against Grain
==========================
6mm |600mm rad |1500mm rad
9mm |900mm rad |2400mm rad
12mm |1800mm rad |3600mm rad
15mm |2400mm rad |4800mm rad
18mm |3600mm rad |6000mm rad
(sorry for the poor tabulation)
I have no experience of this data being correct, so if you have alternative experience please mention it here.