So, I was playing around with redstone, and I made a TNT Minecart trampoline. I put on feather falling IV diamond boots and tried out the trampoline, and I died. Then I picked up the boots, and it hadn't taken any damage, like it normally would. Then I tried it out from a height that wouldn't normally kill you, and it still didn't take any damage.
There are many types of damage where armor does not take durability damage including fall damage. Read on here: http://www.minecraftwiki.net/wiki/Armor#Effects