Future generations of the iPhone could have a flexible OLED display that can bend and twist.

That’s according to The Korea Times, which claims Samsung Electronics Vice Chairman Kwon Oh-hyun has hinted that Apple is testing the display for its new iPhone. Kwon said that Samsung has been getting “huge” orders from companies wishing to use the display.

“Samsung is eager to push open an era of bendy phones and boasts a capability to mass produce OLED displays that bend from the middle or from around the edge,” the report says.

The Korea Times notes that Kwon didn’t reveal any specific names when talking about the orders Samsung has been receiving, but quotes industry sources as saying that Apple is likely to be one of the companies Kwon was referring to. The sources have dubbed the flexible iPhone the ‘iPhone Yoga’.

The Korea Times quotes an unnamed US based analyst as saying: “Apple is the iconic company in the industry that will continue to set the trends. If Samsung finds increasing industry demand for a futuristic product like flexible displays, it’s hard to imagine Apple doesn’t have something to do with it.”

This isn’t the first we’ve heard of a flexible iPhone. In November last year, it was reported that a bendable iPhone would change mobile gaming.

Samsung revealed that it is aiming to launch flexible smartphones in 2012 last October, with flexible tablet devices following shortly after.

"The flexible display, we are looking to introduce sometime in 2012, hopefully the earlier part," said spokesman Robert Yi during an earnings call last year. "The application probably will start from the handset side."

A flexible battery could also be used in future iPhones, according to reports that surfaced in April.

Today's top stories: 
Mid-month rumours: Macs, iOS 6, TV and iPhone latest
New MacBook Pro, MacBook Air, iMac in June
New iPhone to have flexible display – report
Siri: Just Kidding, iPhone is Best Smartphone Ever
Apple best smartphone vendor for consumer satisfaction
Analyst says Apple doesn't have space for television
Foxconn denies 'working on Apple television' claims
Sell Apple, buy Facebook, report
Latest OS X update 'breaks' some Macs
Kaspersky denies  working with Apple on Mac security
Apple Leopard security update includes Flashback remover
Apple to update iCloud at WWDC
Apple admits second iCloud mail outage
Apple: MobileMe mail will still be available without iCloud
CS 6 plugins updated