Neither of these are assumptions. 1) The brass is modeled as an elastic/plastic material, which it is, and the recession of the case head is calculated by the laws of physics. 2) Al simulated a whole range of friction coefficients. Just pick the one you think is correct, and see if the simulated motion follows what you expect.
I don't think anything about the modeling is correct although the last movie is closer to what actually happens. BTW at no point do I see where the primer cup re-protrudes. I must have missed that movie?
BTW, how would you quantify the friction coefficient? The weighted pull experiment is a straight-forward, low-budget approach, but its applicability to cartridge cases does depend on the linearity of the coefficient to higher loads. How would you do it?
I wouldn't attempt to "quantify" it, knowing from prior work that there is no linear relationship, nor is there a similarity between a block and a pressure-supported flexible casewall. I'd work with the much simpler criteria of "slide"/"no-slide."
Yes, of course, they have different rates. But to contend that brass acts like brass in the neck and body, but acts like lead in the case head, doesn't make sense. Caseheads deflect and spring back like brass, not like lead.
No, the difference is simple math. My "lead slug" analogy was an attempt at shortcutting a lengthy explanation about the ratios involved. Stretching the tube several thou in length over a very short section of the case VS stretching it a thou or two over the entire radial hoop of the case
Nah, we can be polite, cause this isn't personal, it's a discussion of the science. We are both looking for the truth, right?
There are two ways you can get primer protrusion: 1) Low pressure loads in which the casehead deflection is elastic, and comes short of the boltface. In this case the final casehead to boltface clearance (I think there are those who would argue against calling this headspace) is the same as the initial clearance, and the primer protrusion is proportional to that clearance. 2) High pressure loads in which casehead deflection is plastic. In this case, the final clearance is less than the initial clearance, and the primer protrusion is proportional to the final clearance, not the initial clearance.
I agree
By avoiding plastic deformation of the casehead, by using a stiff barrel, action and bolt, and low clearance. Your answer is the same, right?
The way we differ, it seems, is whether elastic deformation occurs. The unquestionable observation is that the case length is the same before and after firing. But what happens in between? Does it make sense that a case head exposed to 70 ksi doesn't move at all? I don't thinks so. It deflects and returns to the same length.
Here we diverge rather widely..... I've never observed an instance, not ONCE in many years of measuring cases where "the case length is the same before and after firing." So calling that an "unquestionable observation" on your part puts us well into the realm of differing opinions and even perhaps beyond it into "Have you ever actually DONE this???" This is what I meant about the polite part. I have to question this statement of "fact" and in my experience when I do this folks get mad and walk off........But I can't imagine that anyone who's actually measured for expansion would have found "the same case length before and after firing."
I kinda' agree with your last part......YES the entire system deflects and YES part of the answer is to keep clearances small and YES this is to minimize plastic deformation.........but MINIMIZE....... not eliminate. Yes, one can eliminate the problem of casehead separation by eliminating the stress riser at the web but one cannot keep from having to resize the cases. The only thing we don't resize for is casehead expansion, which is different than that of the entire rest of the case. Not only is the ratio wildly skewed (expansion of a thick disc of copper VS the thin hoop of the casewalls) but the pressure acting to expand the casehead isn't even in the same room with the pressure acting on the main casebody. In fact, caseheads wouldn't expand measurably AT ALL if it wasn't for the primer pocket and flashhole.
But I digress