From the pics, it looks like the case mouth is dented in on both sides. Is that correct?
If so, it might be helpful if you included a little more information--caliber, pistol type, how often the jam occurs, where the case is positioned in the gun by the jam, etc.
If it's a 45acp that was fired in a 1911, then the most likely scenario is that the case didn't clear the slide before the slide started to return to battery. With the barrel still linked down, the mouth of the empty case then gets crunched into the barrel hood.
There can be lots of contributing factors to jams. If you provide a bit more information, though, I'm sure more experienced people will be able to chime in and point you to the likely candidates.