Depends the build, slotting and the AV in question.
Likely, esp if you fully saturate AAO w/minions around you while fighting the AV (this would be especially helpful for SD/DM). Being a tank, surviving the added incoming damage shouldn't be a problem. You also need to be able to sustain your end bar while outputting enough DPS. Some AVs might be flat out impossible for tanks to overcome because of their regen, god mode, heals, etc.
An Offensive Guide to Ice Melee
thanks for the answers. Been toying around with a SD/SS build 
BR Anders
Someone posted videos of their SD/DM soloing AVs. With capped AAO and Soul Drain, there's a lot of damage output. Cap your defense with IOs, build in a lot of recharge bonuses, and you're all set. Just keep in mind that you want to greatly limit the use of your AoE powers.
DM may be better than SS in regards to sustained End. Rage and Hasten crashes could put you in a bad place. But with the right build, even that may be minimal.
@Rylas
Kill 'em all. Let XP sort 'em out.
Sadly, SD/SS cannot do it. Except maybe in specific cases (against low regenning AVs) with heavy red insp usage.
I really dont see SS doing it at all, but DM has been proven.
My theoretical Ice/SS gets 166 DPS, which is slow but very possible.
So long as there are minions as well as the AV around the DM tanker, that tanker can periodically recharge endurance as well as keeping AAO saturated. The shield tanker is debuffing damage and the dark melee is debuffing tohit as well, which also make the enterprise more sustainable.
The problem is, you're periodically going to need to damage your helper minions with Soul Drain and Dark Consumption. While I haven't seen the videos, I'll wager they're done on outdoor maps, and periodically the AV is dragged to a fresh spawn.
<《 New Colchis / Guides / Mission Architect 》>
"At what point do we say, 'You're mucking with our myths'?" - Harlan Ellison
Do the AVs that spawn in custom AE missions count as normal AVs (I was solo on invc)?
If so, I've solo'ed Manticore and Sister Psyche w/out insps or temps* on my Will/SS. I tried Synapse and got him close but his end drain was too much towards the end. He toggle dropped me with a drain and rage crash. Then punched my face in.
Those are the only three I tried since it was a little dry. So depending on the ruling on the AE AVs....it's possible to do some with /SS.
Edit: I also tried lolPosi but he melted my face off in about 45 seconds. And since I had 'just enough' DPS to widdle them down, his Ling Rad dropped my DPS to 'no chance' levels.
*I did use Sands as a rage crash filler
Heya folks,
Would the above mentioned power sets be able to reach enough DPS to overcome AV regeneration and eventually deafeat them?
BR Anders