Several years ago Cliff Stamp showed cutting up a steel belted tire with a fully-serrated Spyderco knife made from H1 steel.

That was pretty much the end of that knife but I think the point was that in a survival situation, where destroying a knife is acceptable, it can be done. A regular steel knife might have survived better - his was H1 which is pretty soft.

I personally use a Syperdo Native that is partially serrated (S30V steel) though I carry a beautiful (and excellent) Fallkniven folder when I'm around more tender souls.