Yes, this has happened to me, too. They start to split, then go all the way. For a couple days they are usually fine, though. I carry three bags for most hikes. One for my sleeping bag(and down jacket, long johns & socks,) one for food(doubling as bear bag,) and one small ditty bag for the small stuff (batteries, bandaids, salt/lite salt mix, pills, bear line, lighter, AM drops & mixing cup, etc...)
I used turkey bags for about a year, but they always came back in a destroyed condition. I think for the cost of using one per trip, I could have purchased a cuben bag if they had been available at the time.