First of all, if a similar topic have been started before, apologies. I did a quick googling and it seems like this subject wasn't discussed before.
Hamilton's test day 1 crash got me thinking on this once more. I've had this thought pop in my head time and again, having played Geoff Crammond's GP series all those years ago. Simply, you had a graphical representation in the cockpit warning you of any damage received. If you lost your front/rear wing or had a puncture, you could see it in the display right away.
What if the FIA mandated a damage warning system similar to what was in the game ? We already know teams run wires through front wings for aero purposes for example. You could run similar wiring through the rear wing as well. Teams monitor tire data all the time, so displaying a tire failure/explosion instantly in the cockpit shouldn't be much of a problem. Additionally, wiring could be run through the suspension arms so the driver could make the distinction between a tire/suspension failure (if that would be of any help to the driver). They already have cables to prevent wheels from detaching in a crash, so there's another thought. Bib/stay is another vulnerable yet very important part for cornering (remember Hamilton sailing straight in Melbourne practice last year ?) Such a system could be implemented cheaply, but with a high potential to prevent nasty crashes.
I've seen rear or front wings declare independence more than a couple of times over the years, and it seems counter intuitive to me to not have a damage warning display in the cockpit with the plethora of sensors already available on these cars.