You should probably provide more details about the batch, like what yeast you used, did you make a starter, fermentation times and temps, etc. At the very least tell us what yeast you used.
There are a few possibilities. You may have exceeded your yeast's alcohol tolerance and killed off any remaining cells that would have carbonated your beer. It's also possible that you have some viable yeast left, but not very much so it's working very slowly (especially considering the high alcohol). And as some around here will tell you, patience is a virtue with bottle-conditioning, ESPECIALLY with a big beer like the one you have.
Someone else around here can help you more with the specifics of your situation, but I can give you some of my own personal experience. I brewed a 3 gallon batch of Barley wine a few years ago. It was All-malt, with an OG around 1.105. I used Wyeast 1728 (No starter, but I may have been re-pitching a jar of old yeast so there may have been a healthy cell count, or not). It fermented pretty quickly, to about 1.025 in 3 or 4 weeks, so I bottled it. 1728 is supposed to be good up to 12%. I left it for a couple months before trying some, and it wasn't really carbonated. I drank a bottle here and there over the next 6 months to a year, and although it never fully carbonated, it did seem to be slowly developing more bubbles. Unfortunately due to the small batch size and my own impatience, I never got to see if any ended up properly carbed. I didn't follow the extra steps that are recommended when fermenting a high gravity beer so even though I hadn't exceeded the yeast's 'official' alcohol limit, there probably wasn't enough left to do the job in a timely manner. You may be in the same position.
I did another batch more or less the same way, except I pitched some Champagne yeast (much higher tolerance) in the secondary. It ended up sitting in the secondary for more than a few months, which isn't a bad thing with a beer like this but wasn't my intention. Anyways, it carbed up fine. I can't recall how soon after bottling I cracked the first one, but every one has been fine.
Weldless? Why would anyone want to weld less?