I share your pain, been there done that..
Looking at the bush at the broken end, it looks like its spread out the tube
Be interesting if that has happened as looks like there is not much bush showing in photo. May be just the pic tho.
I had that happen when I dug in with a skew, noticed after that the bushes were very tight and when it dug in the screw on the end of the mandrell spun up and over tightened the blank/ Resulting in it blowing off just like your looks like.
Since then I make sure the bushes are a nice snug fit rather than a tight fit, Oh, and I never dig in with the skew do I.
Out of interest, are you using a threaded mandrel or a mandrel saver?