limb maybe?
"Limb" would imply the whole, intact arm or leg -- stump is the correct word here. Also, by the way -- the words "destroy" and "damage" aren't used for LIVING people or animals, although it's possible to "destroy" or "damage" a corpse, or a tree, or a building. (Well, come to think of it, "destroy" can be used for the [mass] euthanasia of скотина -- "cattle; livestock" -- "they had to destroy more than 40,000 pigs to control the epidemic". But not for pet animals, and certainly not for humans!) Anyway, you should say "they killed/massacred/bombed the civilians" and "these were not considered severely injured."

Also:

circling swooping up and down