Using the type of bender that is most common in motor sports the thickness of the outside of the bend has to get thinner and the inside has to become thicker. The amount of the thickening and thinning is related to the bend diameter and the diameter of the tube. i.e. a large diameter tube bent around a small radius die will stretch more on the outside, therefore thinning the metal and will compress more on the inside, therefore thickening the metal. If we looked at a .75 inch diameter tube bent 180 degrees around a 6 inch bend radius bend block (the 6 inch radius is at the tube center line.) the lenght of the outside surface of the tube is 6.375 x PI= 20.0276 inches, the inside length is 5.625 x PI=17.6714 inches and the length at the tube center line, which does not change is 6 x PI= 18.8495 inches. So the % change for the out side is 20.0276 div. by 18.8495= approx 6.3% longer and on the inside the number would be 17.6714 divided by 18.8495= approx 6.3% shorter. So the material on the outside of the bend should be about 6.3% thinner and the inside should be about 6.3% thicker but if you measure the thickness this is not what you find because as you bend the material the outer gets thinner and the inner gets thicker so this moves the neutral axis of the tube closer to the inside radius so what happens is the outside actually thins more than the 6.3% and the inside thickens less than the 6.3%. Also these numbers are only somewhat close on very thin wall tubing. If the tube was .050 wall the amount of increase and decrease would be around .003 inches. It becomes pretty obvious that if you go to larger diameter tubing the outside radius has to stretch a longer distance and therefore thins more. On a 2 inch tube it would be almost 17%!
Now there are machines that can actually bend thin wall tubing at very small bend radii and actually increase the thickness of both the inside and outside walls. This is all part of the "art" of tube bending. These benders will have a mandrel that will wipe the inside of the tube to keep the tube from collasping and also a "pusher" cylinder that grips the tube just infront of the bend dye and wyper and actually forces the tube into the area being bent and can actually force extra material into the area of the tube that is being bent and prevent thinning of the tube on the outside radius! The F1 guys bend 50 mm dia (2 inches) with .5 mm wall (.020 inch) tubing made from 625 inconel at less than 2 inch bend radius and make perfect bends! That is tube bending "art"!
We also need to remember that when the tube material is stretched or compressed it can actually have enhanced material properties because of work hardening which usually means an increase in the materials yield and tensile strength.
I will be interested in Willie's information on his testing of wall thickness after bending. Willie be sure to give us the bend die radius and the tube diameter and wall thickness.
Rex