It would be neat if there were some way to make this "debt" more visible to non-developers. At the moment it could be easily forgotten (by non-developers) after the initial deadline is hit, leaving no time to pay it back before the next "crisis" emerges.

The hardest part would be having some way to quantify the debt. But you could, at least, make a record of the corners cut, and make any accumulation extremely visible to management. Does anyone know of anything like this?