Apple receives a patent from the USPTO for devices with a flexible display
Apple will use flexible Printed Circuit Boards to connect the inner workings of the two halves. Rollers can be used to help reel in the screen or dispense it out while the hinge is in use. While Apple is expected to offer a premium 10th anniversary iPhone model next year with a flexible OLED display, the thinking is that Apple won't stray from the current design. If Apple does take a risk, it most likely would be with a glass display covering close to 100% of the phone's body. Touch ID would be embedded in the screen. Apple currently has a back up virtual home button on the Apple iPhone 7 and Apple iPhone 7 Plus that works the same way if the regular home button fails.
Check out images directly from the USPTO's documentation. Simply click on the slideshow below.
source: USPTO via AppleInsider