Thanks for the images. I hijacked one of them and I will use it to explain my question.
View attachment 7902354
okay, the firing pin just ignited the primer, the powder is now in the form of a gas, it is very hot so the pressure is high. The gas atoms are pushing against the walls of the brass. For engineering purposes we can assume that the pressure vector is perpendicular to the wall - that is, straight down like the long red arrows, straight against the side walls for the orange arrows. The bolt face can be represented as a pressure vector opposite to the long red arrows. Hold off on the short red arrows.
Imagine a strange sort of sandwich - a piece of meat with a piece of bread on top. Spread mustard on the meat. Press down on the bread. The mustard will squirt out the sides - mustard yield strength is exceeded and it will flow from high pressure to low pressure.
Now think about the short red arrows. If the brass yield strength is exceeded the brass, like the mustard, will flow toward the weak areas not supported by the bolt face or the chamber walls. On the other hand, if the brass is strong enough, if its yield strength is high enough, it will temporarily elastically deform then return to shape. And that is mostly what we see. Brass can be reused several times without resizing the case head because the case head does not plastically deform - much. But not forever. Based on experience, some of the brass will exceed yield strength and will flow. In some cases the case head gets larger and since sizing does not apply to the entire case, after some firings the brass won't fit into the chamber or the bolt head anymore. So far, so good. To my mind, so far the theory and observations match.
[By the way, don't anneal case heads. It lowers their yield strength and one shot will wreck them.]
Now to the short red arrows representing pressure and force vectors in the brass. I am trying to say that the gas pressure increases the pressure on and within the brass and the brass deforms in the directions where it is not backed up by steel. But notice, right in the middle of the base is this hole where the primer goes - the primer pocket. Will the increased pressure cause the brass to deform into that hole? If yes, then that hole will get smaller and the primer pocket will get tighter. Is the primer itself strong? If yes then it resists the pressure and the brass deforms in other directions.
Back to our strange sandwich only this time no bread, it is made with a bagel. When you press on the bagel, the butter (it used to be mustard but who eats mustard on a bagel?) flows both outward and inward into the hole in the center.
And there is my question - why doesn't the primer pocket get smaller? I think because the primer resists. But I think that is not a completely satisfactory answer. Primers are not that "tough". Could it be that gas flows into the primer pocket and resists the deformation?
Mostly it doesn't matter but I wonder if case heads could be engineered so that primer pockets would not expand.