"LAS VEGAS--There's no question that flexible screens are the future, along with the bendable products that go with them. Corning, maker of Gorilla Glass 3, was kind enough to drop by our CNET booth at CES to show me Willow Glass, its take on bendable glass so thin you can curve it in a deep arc without breaking.
Willow Glass is as thick as a business card -- only 0.1 millimeter thick -- and as malleable as promised. I could easily bend it within its plastic laminate cover, but at this early stage in development, I wasn't able to handle the bare glass.
Manufacturers who use the glass in future products will be able to spool the material and bend it around displays, like smartphones, for example."
http://ces.cnet.com/8301-34447_1-57563367/hands-on-with-cornings-bendable-willow-glass-exclusive/the flexible screen
"The screens, which were shown off here as just a concept, promise to change what kind of form factors are possible for companies that make smartphones and tablets.
Samsung brought out a handful of demo units around 5-inches in size to show press, including a phonelike device with a screen that wraps around the side edges and could therefore display information like text messages and other alerts without a user needing to view the entire screen. A similar design puts the wraparounds on the bottom, while another concept (shown off in a video) rolled out like a scroll."
http://ces.cnet.com/8301-34435_1-57563058/eyes-on-samsungs-youm-flexible-display-tech-at-ces-2013/so, a bendable smartphone is not that far away after all, how long before we see the first unit?