What happens if a Devil Fruit is destroyed? We know that if a Devil Fruit user dies, their fruit reappears (see In One Piece, does a Devil Fruit reappear after the user dies?). However, this doesn't answer the question of what happens when the fruit gets destroyed without being eaten. I don't know if that's even possible, but I imagine so with sufficient effort. 

If a devil fruit is destroyed, would the fruit reincarnate in a nearby fruit (the same as when the user dies), or would it be destroyed for good?
I don't think you can separate destroyed and being eaten, eating a devil fruit in One Piece pretty much destroys it. So destruction by power, physical force and or being eaten could be considered as being the same. 

That being said, I would think the same thing would happen in any instance of it being 'destroyed', it will 'respawn' and take on the form of it's closest 'relative'.