Get thee to a basic "strength of materials" textbook for principles of stress & strain. You may or may not have the math for it (there's calculus in there) but the principles and the graphs may make sense.
I'd like to try answering that last question, non-metallurgist to non-metallurgist, mostly to see if I can. The metallurgists can clobber me if I've misunderstood it all this time.
As you know, you can bend a piece of metal so far and it'll just spring back to where you started. If you bend it beyond a certain point, it'll move a lot faster, and will stay bent. But that initial amount that would have just sprung back, it's still going to spring back no matter what. So your permanent change is what you moved it to minus that springback piece.
Here's my really simplistic understanding of why there's so far you can move it without permanent change and then after that it does change (here's where the metallurgists may clobber me), and why the springback is still there even after you've set in a permanent bend:
There's a certain amount of "springiness" to the atomic structure of the metal. The atoms can move with respect to each other by a certain amount and still maintain their bonds, like bungee cords. If they're pushed too far, though, those bonds break (the hooks let go) and then reform between new sets of atoms that are now next to each other (the hooks catch the next hole down). That shift is permanent, but the same amount of springiness remains, and the bungee will unstretch by the same amount when you let go.
How far off am I?
Hg