Aman27deep
Level G
According to unwiredview which gets it's information from sources in Korea, both LG and Samsung are getting ready to launch flexible phones in the upcoming week or two. LG and Samsung both are currently up against each other to release their 'curved' phone as soon as possible, and further details about either devices are very scarce as of now.
Of what details are known - LG's phone will be known as the LG Z and the Samsung counterpart will be the Note 3 active.
Although 'bendable screen' may trick you into thinking that the phones are bendable per se, it isn't so. The internals such as the battery, cpu etc are still not bendable so the screens will only be less prone to damage of any sorts.
At first, the quantities for either devices are expected to be quite less as neither company has plants to do mass-productions of the devices yet.