So that's what why 1979 d dollar coin is, I do see like an edge I can probably peel but wasn't sure, so it's not worth anything I'm guessing, just a dollar.
Thank you for the new photos, they do show the muted design details in the affected areas much better. The spot on the edge under the one of the date does not appear to be an active area of lamination , but just part of the struck through so it would be in your best interest to not pick at it. Your coin should bring a premium were you sell it , though I will leave it to others here or the marketplace to give you an idea of how much. Very cool coin. Get it into a coin flip to protect it.
This thing is getting crazier by the minute. The difference between the SBA and your Lincoln, Stoneman, is that the details appear to be nearly fully-formed in the "depressed" part. Yet, we can still clearly see what looks like lamination peel near the date and a folded corner above it. I can see all of this from a non-detached lamination, except the "depression" part, and the feature is clearly incuse from the lighting effects on it.
Much of the detail on my Lincoln has been lost to the stations of the the lamination since the part that peeled was a section of the original planchet . That is why I pointed out the last two letters of Liberty as an example of detail. One of the OP's shots shows the 1 of the date to have lost much of its detail compared to the other numerals. Also the same shot, the first one on this page , showes the base of the bust to be very rounded in the depressed area
Thank you for the help, and should I take it to get it certified or something like that or just put it in a case and just sell it?
The clad layer split internally along the horizontal plane, folded over, and was struck into the coin. The clad material fell out after the strike, leaving behind a "struck-through" area. In other words, this coin was struck through a clamshell lamination flap or, as it's sometimes referred to, a semilunar lamination flap. Given that it's already quite thin, its quite uncommon for cladding to split. Yet it does happen on occasion. As far as value goes, it's probably worth less than $40. Not worth slabbing. And the grading services would only label it as "struck thru", anyway.
I respect SuperDave's opinion a great deal and suggest a bit more consideration on what this coin is . My opinion, based on your pics and not coin in hand is what I have stated. If this is an actively laminating coin you may find grading companies reluctant to slab it.See if there ends up being a concensus on what your coin is before you commit to a course of action.