The only quantitative study I can find is about ice sheets in Antarctica accelerating when the locking ice shelves broke up. I haven't found anything on polar ice sheets breaking up, only non-polar. With the snow increasing in Greenland and Antarctica, it's hard to imagine a break-up from "disintegration".
Greenland Ice Sheet Losing Mass
I have a Science reference for you; abstract looks interesting:
Surface Melt-Induced Acceleration of Greenland Ice-Sheet Flow
This is the mechanism that Hansen's worried about for ice-sheet collapse/disintegration; lubrication by meltwater of the ice flow zones.