On a serious note, the fundamental issue is that the "Barbarian" is similar to the "Paladin" and the "Ranger," - these are grandfathered in class archetypes.
Barbarian is, of course, Conan.
Paladin is from Three Hearts and Three Lions.
Ranger is Strider (Aragorn) from LoTR.
Each of these class names has acquired different connotations (for example, the Ranger class often suffers from certain difficulties in defining it because "Like Strider" isn't really a class; so the issue of whether it's an archer, a survivalist, a dual-wielder, a commando, a petmaster etc. always pops up) over time, but occasionally suffers from the identity crisis of what it means.
Essentially, the Barbarian is "more tanky" than the fighter (more hit points, more resilient) with occasional outsider/wilderness overtones (as in the berserker/totem base subclasses). There's not a good name for that.
Which means you either stick with Barbarian, which people know as an archetype from D&D (and from other D&D-inspired games and CRPGs) or give it a name no one is very familiar with. Neither seems particularly satisfying, IMO.