Samsung's newest demo might fix that. they're going to be showing off a stretchable AOLED screen at SID Display Week in the next few days.
Samsung told Yohnap that the stretchable display was unique since it can bend in both directions, unlike previous flexible panels could only bend in one direction. The South Korean company said its display can stretch as much as 12 millimeters when pressed, and yet still maintains a high degree of resolution.
Samsung plans to demo 9.1" versions of the stretchable OLED display. If it reaches production status, the display could be used on devices that need an impact resistant screen.
And if the tech can be adapted to also support E-ink screens then we could see the end of E-ink screens breaking simply though being jostled in a bag.