Butch
Give me a real reason cutting a material relieves stress.
Oh....BTW....heat
The examples were given above. If you want to dispute/discuss them, that's ok. But, I think it's a pretty safe bet the stress is in there and needs relieved. Here's another example.
Piece of metal stock 3" wide. Has stress in it (assumed). Stand it up in front of you and look at it. Left 1.5" has stress pulling the part into a banana toward the left. Right 1.5" has equal stress pulling the part into a banana toward the right. Part looks straight to you.
Cut some material off either side but not both, the part will pull toward the side without material removed. That's what Chad is saying.
What you are saying is that if the part has heat put into it, it could either gain or loose stress (I'm paraphrasing from what I took of your post). I would partially agree that if you do metalwork on that part and your tooling causes the part to get hot, you will ALTER the state of the material and if there is stress involved, odds are you will have a part that is no longer shaped like it was when you began.
But your idea of putting heat in adding stress is counterintuitive (says I). Let's say I turn a part in a lathe with no coolant and it gets up to 250F. That's pretty darn hot. I take the part out of the lathe, lets say it was a long narrow round of some crappy steel. It most likely is not a long narrow STRAIGHT round any more. Ok, now, if I had taken the same part, put it in an oven and heated it ONLY to 250F and then let it cool again, do you think it would have changed in shape as dramatically as some parts you've probably seen come out of a lathe? I bet not. I bet it would barely move, if even measurably. So, one could conclude that the heat did not do the alteration, but the material removal did.
As an experiment. grab a piece of relatively straight 3/4" Cold rolled round stock. Put a center in one end of it. Chuck up quite tightly with 2 or 3" in the chuck. Now bring your live center into the part. Hopefully, the bar is straight enough the center fits up perfectly without help. Now, turn the part down to 1/2". Stop the lathe, and pull the center but let the part in the chuck. If you CAN put the center back in, that is some pretty nice stock you have there cause I'm betting there's times you won't be able to get it back in there. If you could convince me that heating that part to the same temp would have bent it that far, then I'd say you're right. But I don't think it'll ever move that far. I've seen examples of this very thing and the part center sprung ~1/2" from the live center when the tailstock was pulled away.