Seriously, the physics of this are pretty easy. Trauma to the brain results from deceleration (specifically, the deceleration of the skull, while the brain is still moving), and you can't reduce the trauma without reducing the deceleration.
Given an initial and a final velocity (and these are fixed for our purposes), you minimize decelaration when it takes place over the maximum possible distance, and when the deceleration is constant over that distance. The latter aspect is what you're trying to fix by monkeying with the kind of padding (inside or out — it's irrelevant for this purpose), but in the end you're limited by the distance over which the deceleration occurs. If you're hitting a solid, immovable object, or helmet on helmet so it's symmetrical, the minimum possible deceleration is given by
amin = V2/2d
(Note: if the object you're hitting has some give to it then the formula changes by a certain factor, but the relationship between acceleration and distance doesn't.)
Now, if the padding isn't providing
uniform acceleration (deceleration), then that's the first place you look. But after you've fixed that, you simply cannot do better unless you make the helmet bigger, thereby providing more distance over which the skull can decelerate. As you can see from the formula, to halve the deceleration you double the distance, and so forth.
Whether within that distance you achieve the (preferably uniform) deceleration by compression of the outside or the inside of the helmet is irrelevant, as long as it happens somewhere between the object you hit and the skull. (It may be relevant to whether the helmet causes injury to other players, but we're not talking about that.) The Kelso helmet wasn't safer for him because the padding was on the outside, but because it made the helmet bigger (through adding padding, not hard stuff — more stuff to compress). The only reason they put it on the outside was that that was easier.
(Note: I'm sure someone can find an article saying otherwise and I know at the time Kelso was wearing that, a lot of commentators said incorrect things about it, but let's just say that your average sports journalist doesn't understand physics.)
And none of this has any effect on the trauma that's caused by not-collision deceleration (though making the helmet
heavier would help in that regard [while obviously having other consequences, some of them bad]).
Last edited by atakdog; 03-02-2012 at 03:46 AM.