A question of nomenclature

'Achilles is brave as a lion' is a simile. So far, so elementary. But what do we call this simile?--

He's a poor man, as empty as a pocket
As empty as a pocket, with nothing to lose.
Ah say tanana ... tanana-nah etc. etc.

It's a particular kind of simile: because in the round a pocket might be empty or full, and yet we somehow know what kind of pocket is being alluded to (we might say: a particular lion may be brave or cowardly, but in the round -- in the world of the simile -- lions are always brave). The point is that this a kind self-reflexive simile. This Simonesque poor man is empty as an empty pocket; but the simile doesn't need to specify the kind of pocket being mentioned, because the assumption is that it is the poor man's pocket which by definition will be empty. There's something neatly folded together, semantically, about this I think. Should we name it?